TSTP Solution File: SWV422-1.200 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV422-1.200 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:14:36 EDT 2022
% Result : Unsatisfiable 18.72s 18.94s
% Output : Proof 24.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV422-1.200 : TPTP v8.1.0. Released v3.5.0.
% 0.10/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sun Sep 4 03:33:39 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31 Usage: tptp [options] [-file:]file
% 0.10/0.31 -h, -? prints this message.
% 0.10/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.31 -m, -model generate model.
% 0.10/0.31 -p, -proof generate proof.
% 0.10/0.31 -c, -core generate unsat core of named formulas.
% 0.10/0.31 -st, -statistics display statistics.
% 0.10/0.31 -t:timeout set timeout (in second).
% 0.10/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31 -<param>:<value> configuration parameter and value.
% 0.10/0.31 -o:<output-file> file to place output in.
% 18.72/18.94 % SZS status Unsatisfiable
% 18.72/18.94 % SZS output start Proof
% 18.72/18.94 tff(always25_type, type, (
% 18.72/18.94 always25: $i > $o)).
% 18.72/18.94 tff(s72_type, type, (
% 18.72/18.94 s72: $i)).
% 18.72/18.94 tff(m_main_v_state2_type, type, (
% 18.72/18.94 m_main_v_state2: ( $i * $i ) > $o)).
% 18.72/18.94 tff(c_c2_type, type, (
% 18.72/18.94 c_c2: $i)).
% 18.72/18.94 tff(node9_type, type, (
% 18.72/18.94 node9: $i > $o)).
% 18.72/18.94 tff(s71_type, type, (
% 18.72/18.94 s71: $i)).
% 18.72/18.94 tff(c_n2_type, type, (
% 18.72/18.94 c_n2: $i)).
% 18.72/18.94 tff(node13_type, type, (
% 18.72/18.94 node13: ( $i * $i ) > $o)).
% 18.72/18.94 tff(s70_type, type, (
% 18.72/18.94 s70: $i)).
% 18.72/18.94 tff(node12_type, type, (
% 18.72/18.94 node12: $i > $o)).
% 18.72/18.94 tff(m_main_v_turn_type, type, (
% 18.72/18.94 m_main_v_turn: ( $i * $i ) > $o)).
% 18.72/18.94 tff(c_2_type, type, (
% 18.72/18.94 c_2: $i)).
% 18.72/18.94 tff(c_1_type, type, (
% 18.72/18.94 c_1: $i)).
% 18.72/18.94 tff(m_main_v_state1_type, type, (
% 18.72/18.94 m_main_v_state1: ( $i * $i ) > $o)).
% 18.72/18.94 tff(c_t1_type, type, (
% 18.72/18.94 c_t1: $i)).
% 18.72/18.94 tff(s69_type, type, (
% 18.72/18.94 s69: $i)).
% 18.72/18.94 tff(node6_type, type, (
% 18.72/18.94 node6: ( $i * $i ) > $o)).
% 18.72/18.94 tff(s68_type, type, (
% 18.72/18.94 s68: $i)).
% 18.72/18.94 tff(node1_type, type, (
% 18.72/18.94 node1: $i > $o)).
% 18.72/18.94 tff(c_n1_type, type, (
% 18.72/18.94 c_n1: $i)).
% 18.72/18.94 tff(s67_type, type, (
% 18.72/18.94 s67: $i)).
% 18.72/18.94 tff(node5_type, type, (
% 18.72/18.94 node5: $i > $o)).
% 18.72/18.94 tff(s66_type, type, (
% 18.72/18.94 s66: $i)).
% 18.72/18.94 tff(c_c1_type, type, (
% 18.72/18.94 c_c1: $i)).
% 18.72/18.94 tff(node3_type, type, (
% 18.72/18.94 node3: $i > $o)).
% 18.72/18.94 tff(s65_type, type, (
% 18.72/18.94 s65: $i)).
% 18.72/18.94 tff(s64_type, type, (
% 18.72/18.94 s64: $i)).
% 18.72/18.94 tff(c_t2_type, type, (
% 18.72/18.94 c_t2: $i)).
% 18.72/18.94 tff(s63_type, type, (
% 18.72/18.94 s63: $i)).
% 18.72/18.94 tff(s62_type, type, (
% 18.72/18.94 s62: $i)).
% 18.72/18.94 tff(s61_type, type, (
% 18.72/18.94 s61: $i)).
% 18.72/18.94 tff(s60_type, type, (
% 18.72/18.94 s60: $i)).
% 18.72/18.94 tff(s59_type, type, (
% 18.72/18.94 s59: $i)).
% 18.72/18.94 tff(s58_type, type, (
% 18.72/18.94 s58: $i)).
% 18.72/18.94 tff(s57_type, type, (
% 18.72/18.94 s57: $i)).
% 18.72/18.94 tff(s56_type, type, (
% 18.72/18.94 s56: $i)).
% 18.72/18.94 tff(s55_type, type, (
% 18.72/18.94 s55: $i)).
% 18.72/18.94 tff(s54_type, type, (
% 18.72/18.94 s54: $i)).
% 18.72/18.94 tff(s53_type, type, (
% 18.72/18.94 s53: $i)).
% 18.72/18.94 tff(s52_type, type, (
% 18.72/18.94 s52: $i)).
% 18.72/18.94 tff(s51_type, type, (
% 18.72/18.94 s51: $i)).
% 18.72/18.94 tff(s50_type, type, (
% 18.72/18.94 s50: $i)).
% 18.72/18.94 tff(s49_type, type, (
% 18.72/18.94 s49: $i)).
% 18.72/18.94 tff(s48_type, type, (
% 18.72/18.94 s48: $i)).
% 18.72/18.94 tff(s47_type, type, (
% 18.72/18.94 s47: $i)).
% 18.72/18.94 tff(s46_type, type, (
% 18.72/18.94 s46: $i)).
% 18.72/18.94 tff(s45_type, type, (
% 18.72/18.94 s45: $i)).
% 18.72/18.94 tff(s44_type, type, (
% 18.72/18.94 s44: $i)).
% 18.72/18.94 tff(s43_type, type, (
% 18.72/18.94 s43: $i)).
% 18.72/18.94 tff(s42_type, type, (
% 18.72/18.94 s42: $i)).
% 18.72/18.94 tff(s41_type, type, (
% 18.72/18.94 s41: $i)).
% 18.72/18.94 tff(s40_type, type, (
% 18.72/18.94 s40: $i)).
% 18.72/18.94 tff(s39_type, type, (
% 18.72/18.94 s39: $i)).
% 18.72/18.94 tff(s38_type, type, (
% 18.72/18.94 s38: $i)).
% 18.72/18.94 tff(s37_type, type, (
% 18.72/18.94 s37: $i)).
% 18.72/18.94 tff(s36_type, type, (
% 18.72/18.94 s36: $i)).
% 18.72/18.94 tff(s35_type, type, (
% 18.72/18.94 s35: $i)).
% 18.72/18.94 tff(s34_type, type, (
% 18.72/18.94 s34: $i)).
% 18.72/18.94 tff(s33_type, type, (
% 18.72/18.94 s33: $i)).
% 18.72/18.94 tff(s32_type, type, (
% 18.72/18.94 s32: $i)).
% 18.72/18.94 tff(s31_type, type, (
% 18.72/18.94 s31: $i)).
% 18.72/18.94 tff(s30_type, type, (
% 18.72/18.94 s30: $i)).
% 18.72/18.94 tff(s29_type, type, (
% 18.72/18.94 s29: $i)).
% 18.72/18.94 tff(s28_type, type, (
% 18.72/18.94 s28: $i)).
% 18.72/18.94 tff(s27_type, type, (
% 18.72/18.94 s27: $i)).
% 18.72/18.94 tff(s26_type, type, (
% 18.72/18.94 s26: $i)).
% 18.72/18.94 tff(s25_type, type, (
% 18.72/18.94 s25: $i)).
% 18.72/18.94 tff(s24_type, type, (
% 18.72/18.94 s24: $i)).
% 18.72/18.94 tff(s23_type, type, (
% 18.72/18.94 s23: $i)).
% 18.72/18.94 tff(s22_type, type, (
% 18.72/18.94 s22: $i)).
% 18.72/18.94 tff(s21_type, type, (
% 18.72/18.94 s21: $i)).
% 18.72/18.94 tff(s20_type, type, (
% 18.72/18.94 s20: $i)).
% 18.72/18.94 tff(s19_type, type, (
% 18.72/18.94 s19: $i)).
% 18.72/18.94 tff(s18_type, type, (
% 18.72/18.94 s18: $i)).
% 18.72/18.94 tff(s17_type, type, (
% 18.72/18.94 s17: $i)).
% 18.72/18.94 tff(s16_type, type, (
% 18.72/18.94 s16: $i)).
% 18.72/18.94 tff(s15_type, type, (
% 18.72/18.94 s15: $i)).
% 18.72/18.94 tff(s14_type, type, (
% 18.72/18.94 s14: $i)).
% 18.72/18.94 tff(s13_type, type, (
% 18.72/18.94 s13: $i)).
% 18.72/18.94 tff(s12_type, type, (
% 18.72/18.94 s12: $i)).
% 18.72/18.94 tff(s11_type, type, (
% 18.72/18.94 s11: $i)).
% 18.72/18.94 tff(s10_type, type, (
% 18.72/18.94 s10: $i)).
% 18.72/18.94 tff(s9_type, type, (
% 18.72/18.94 s9: $i)).
% 18.72/18.94 tff(s8_type, type, (
% 18.72/18.94 s8: $i)).
% 18.72/18.94 tff(s7_type, type, (
% 18.72/18.94 s7: $i)).
% 18.72/18.94 tff(s6_type, type, (
% 18.72/18.94 s6: $i)).
% 18.72/18.94 tff(s5_type, type, (
% 18.72/18.94 s5: $i)).
% 18.72/18.94 tff(s4_type, type, (
% 18.72/18.94 s4: $i)).
% 18.72/18.94 tff(s3_type, type, (
% 18.72/18.94 s3: $i)).
% 18.72/18.94 tff(s2_type, type, (
% 18.72/18.94 s2: $i)).
% 18.72/18.94 tff(s1_type, type, (
% 18.72/18.94 s1: $i)).
% 18.72/18.94 tff(node17_type, type, (
% 18.72/18.94 node17: ( $i * $i ) > $o)).
% 18.72/18.94 tff(s0_type, type, (
% 18.72/18.94 s0: $i)).
% 18.72/18.94 tff(node15_type, type, (
% 18.72/18.94 node15: $i > $o)).
% 18.72/18.94 tff(node16_type, type, (
% 18.72/18.94 node16: $i > $o)).
% 18.72/18.94 tff(node18_type, type, (
% 18.72/18.94 node18: ( $i * $i ) > $o)).
% 18.72/18.94 tff(trans_type, type, (
% 18.72/18.94 trans: ( $i * $i ) > $o)).
% 18.72/18.94 tff(succ_type, type, (
% 18.72/18.94 succ: ( $i * $i ) > $o)).
% 18.72/18.94 tff(node4_type, type, (
% 18.72/18.94 node4: $i > $o)).
% 18.72/18.94 tff(node8_type, type, (
% 18.72/18.94 node8: $i > $o)).
% 18.72/18.94 tff(node14_type, type, (
% 18.72/18.94 node14: ( $i * $i ) > $o)).
% 18.72/18.94 tff(node2_type, type, (
% 18.72/18.94 node2: $i > $o)).
% 18.72/18.94 tff(node7_type, type, (
% 18.72/18.94 node7: ( $i * $i ) > $o)).
% 18.72/18.94 tff(node11_type, type, (
% 18.72/18.94 node11: $i > $o)).
% 18.72/18.94 tff(node10_type, type, (
% 18.72/18.94 node10: $i > $o)).
% 18.72/18.94 tff(s199_type, type, (
% 18.72/18.94 s199: $i)).
% 18.72/18.94 tff(xuntil28_type, type, (
% 18.72/18.94 xuntil28: $i > $o)).
% 18.72/18.94 tff(node26_type, type, (
% 18.72/18.94 node26: $i > $o)).
% 18.72/18.94 tff(until27_type, type, (
% 18.72/18.94 until27: $i > $o)).
% 18.72/18.94 tff(s198_type, type, (
% 18.72/18.94 s198: $i)).
% 18.72/18.94 tff(s197_type, type, (
% 18.72/18.94 s197: $i)).
% 18.72/18.94 tff(s196_type, type, (
% 18.72/18.94 s196: $i)).
% 18.72/18.94 tff(s195_type, type, (
% 18.72/18.94 s195: $i)).
% 18.72/18.94 tff(s194_type, type, (
% 18.72/18.94 s194: $i)).
% 18.72/18.94 tff(s193_type, type, (
% 18.72/18.94 s193: $i)).
% 18.72/18.94 tff(s192_type, type, (
% 18.72/18.94 s192: $i)).
% 18.72/18.94 tff(s191_type, type, (
% 18.72/18.94 s191: $i)).
% 18.72/18.94 tff(s190_type, type, (
% 18.72/18.94 s190: $i)).
% 18.72/18.94 tff(s189_type, type, (
% 18.72/18.94 s189: $i)).
% 18.72/18.94 tff(s188_type, type, (
% 18.72/18.94 s188: $i)).
% 18.72/18.94 tff(s187_type, type, (
% 18.72/18.94 s187: $i)).
% 18.72/18.94 tff(s186_type, type, (
% 18.72/18.94 s186: $i)).
% 18.72/18.94 tff(s185_type, type, (
% 18.72/18.94 s185: $i)).
% 18.72/18.94 tff(s184_type, type, (
% 18.72/18.94 s184: $i)).
% 18.72/18.94 tff(s183_type, type, (
% 18.72/18.94 s183: $i)).
% 18.72/18.94 tff(s182_type, type, (
% 18.72/18.94 s182: $i)).
% 18.72/18.94 tff(s181_type, type, (
% 18.72/18.94 s181: $i)).
% 18.72/18.94 tff(s180_type, type, (
% 18.72/18.94 s180: $i)).
% 18.72/18.94 tff(s179_type, type, (
% 18.72/18.94 s179: $i)).
% 18.72/18.94 tff(s178_type, type, (
% 18.72/18.94 s178: $i)).
% 18.72/18.94 tff(s177_type, type, (
% 18.72/18.94 s177: $i)).
% 18.72/18.94 tff(s176_type, type, (
% 18.72/18.94 s176: $i)).
% 18.72/18.94 tff(s175_type, type, (
% 18.72/18.94 s175: $i)).
% 18.72/18.94 tff(s174_type, type, (
% 18.72/18.94 s174: $i)).
% 18.72/18.94 tff(s173_type, type, (
% 18.72/18.94 s173: $i)).
% 18.72/18.94 tff(s172_type, type, (
% 18.72/18.94 s172: $i)).
% 18.72/18.94 tff(s171_type, type, (
% 18.72/18.94 s171: $i)).
% 18.72/18.94 tff(s170_type, type, (
% 18.72/18.94 s170: $i)).
% 18.72/18.94 tff(s169_type, type, (
% 18.72/18.94 s169: $i)).
% 18.72/18.94 tff(s168_type, type, (
% 18.72/18.94 s168: $i)).
% 18.72/18.94 tff(s167_type, type, (
% 18.72/18.94 s167: $i)).
% 18.72/18.94 tff(s166_type, type, (
% 18.72/18.94 s166: $i)).
% 18.72/18.94 tff(s165_type, type, (
% 18.72/18.94 s165: $i)).
% 18.72/18.94 tff(s164_type, type, (
% 18.72/18.94 s164: $i)).
% 18.72/18.94 tff(s163_type, type, (
% 18.72/18.94 s163: $i)).
% 18.72/18.94 tff(s162_type, type, (
% 18.72/18.94 s162: $i)).
% 18.72/18.94 tff(s161_type, type, (
% 18.72/18.94 s161: $i)).
% 18.72/18.94 tff(s160_type, type, (
% 18.72/18.94 s160: $i)).
% 18.72/18.94 tff(s159_type, type, (
% 18.72/18.94 s159: $i)).
% 18.72/18.94 tff(s158_type, type, (
% 18.72/18.94 s158: $i)).
% 18.72/18.94 tff(s157_type, type, (
% 18.72/18.94 s157: $i)).
% 18.72/18.94 tff(s156_type, type, (
% 18.72/18.94 s156: $i)).
% 18.72/18.94 tff(s155_type, type, (
% 18.72/18.94 s155: $i)).
% 18.72/18.94 tff(s154_type, type, (
% 18.72/18.94 s154: $i)).
% 18.72/18.94 tff(s153_type, type, (
% 18.72/18.94 s153: $i)).
% 18.72/18.94 tff(s152_type, type, (
% 18.72/18.94 s152: $i)).
% 18.72/18.94 tff(s151_type, type, (
% 18.72/18.94 s151: $i)).
% 18.72/18.94 tff(s150_type, type, (
% 18.72/18.94 s150: $i)).
% 18.72/18.94 tff(s149_type, type, (
% 18.72/18.94 s149: $i)).
% 18.72/18.94 tff(s148_type, type, (
% 18.72/18.94 s148: $i)).
% 18.72/18.94 tff(s147_type, type, (
% 18.72/18.94 s147: $i)).
% 18.72/18.94 tff(s146_type, type, (
% 18.72/18.94 s146: $i)).
% 18.72/18.94 tff(s145_type, type, (
% 18.72/18.94 s145: $i)).
% 18.72/18.94 tff(s144_type, type, (
% 18.72/18.94 s144: $i)).
% 18.72/18.94 tff(s143_type, type, (
% 18.72/18.94 s143: $i)).
% 18.72/18.94 tff(s142_type, type, (
% 18.72/18.94 s142: $i)).
% 18.72/18.94 tff(s141_type, type, (
% 18.72/18.94 s141: $i)).
% 18.72/18.94 tff(s140_type, type, (
% 18.72/18.94 s140: $i)).
% 18.72/18.94 tff(s139_type, type, (
% 18.72/18.94 s139: $i)).
% 18.72/18.94 tff(s138_type, type, (
% 18.72/18.94 s138: $i)).
% 18.72/18.94 tff(s137_type, type, (
% 18.72/18.94 s137: $i)).
% 18.72/18.94 tff(s136_type, type, (
% 18.72/18.94 s136: $i)).
% 18.72/18.94 tff(s135_type, type, (
% 18.72/18.94 s135: $i)).
% 18.72/18.94 tff(s134_type, type, (
% 18.72/18.94 s134: $i)).
% 18.72/18.94 tff(s133_type, type, (
% 18.72/18.94 s133: $i)).
% 18.72/18.94 tff(s132_type, type, (
% 18.72/18.94 s132: $i)).
% 18.72/18.94 tff(s131_type, type, (
% 18.72/18.94 s131: $i)).
% 18.72/18.94 tff(s130_type, type, (
% 18.72/18.94 s130: $i)).
% 18.72/18.94 tff(s129_type, type, (
% 18.72/18.94 s129: $i)).
% 18.72/18.94 tff(s128_type, type, (
% 18.72/18.94 s128: $i)).
% 18.72/18.94 tff(s127_type, type, (
% 18.72/18.94 s127: $i)).
% 18.72/18.94 tff(s126_type, type, (
% 18.72/18.94 s126: $i)).
% 18.72/18.94 tff(s125_type, type, (
% 18.72/18.94 s125: $i)).
% 18.72/18.94 tff(s124_type, type, (
% 18.72/18.94 s124: $i)).
% 18.72/18.94 tff(s123_type, type, (
% 18.72/18.94 s123: $i)).
% 18.72/18.94 tff(s122_type, type, (
% 18.72/18.94 s122: $i)).
% 18.72/18.94 tff(s121_type, type, (
% 18.72/18.94 s121: $i)).
% 18.72/18.94 tff(s120_type, type, (
% 18.72/18.94 s120: $i)).
% 18.72/18.94 tff(s119_type, type, (
% 18.72/18.94 s119: $i)).
% 18.72/18.94 tff(s118_type, type, (
% 18.72/18.94 s118: $i)).
% 18.72/18.94 tff(s117_type, type, (
% 18.72/18.94 s117: $i)).
% 18.72/18.94 tff(s116_type, type, (
% 18.72/18.94 s116: $i)).
% 18.72/18.94 tff(s115_type, type, (
% 18.72/18.94 s115: $i)).
% 18.72/18.94 tff(s114_type, type, (
% 18.72/18.94 s114: $i)).
% 18.72/18.94 tff(s113_type, type, (
% 18.72/18.94 s113: $i)).
% 18.72/18.94 tff(s112_type, type, (
% 18.72/18.94 s112: $i)).
% 18.72/18.94 tff(s111_type, type, (
% 18.72/18.94 s111: $i)).
% 18.72/18.94 tff(s110_type, type, (
% 18.72/18.94 s110: $i)).
% 18.72/18.94 tff(s109_type, type, (
% 18.72/18.94 s109: $i)).
% 18.72/18.94 tff(s108_type, type, (
% 18.72/18.94 s108: $i)).
% 18.72/18.94 tff(s107_type, type, (
% 18.72/18.94 s107: $i)).
% 18.72/18.94 tff(s106_type, type, (
% 18.72/18.94 s106: $i)).
% 18.72/18.94 tff(s105_type, type, (
% 18.72/18.94 s105: $i)).
% 18.72/18.94 tff(s104_type, type, (
% 18.72/18.94 s104: $i)).
% 18.72/18.94 tff(s103_type, type, (
% 18.72/18.94 s103: $i)).
% 18.72/18.94 tff(s102_type, type, (
% 18.72/18.94 s102: $i)).
% 18.72/18.94 tff(s101_type, type, (
% 18.72/18.94 s101: $i)).
% 18.72/18.94 tff(s100_type, type, (
% 18.72/18.94 s100: $i)).
% 18.72/18.94 tff(s99_type, type, (
% 18.72/18.94 s99: $i)).
% 18.72/18.95 tff(s98_type, type, (
% 18.72/18.95 s98: $i)).
% 18.72/18.95 tff(s97_type, type, (
% 18.72/18.95 s97: $i)).
% 18.72/18.95 tff(s96_type, type, (
% 18.72/18.95 s96: $i)).
% 18.72/18.95 tff(s95_type, type, (
% 18.72/18.95 s95: $i)).
% 18.72/18.95 tff(s94_type, type, (
% 18.72/18.95 s94: $i)).
% 18.72/18.95 tff(s93_type, type, (
% 18.72/18.95 s93: $i)).
% 18.72/18.95 tff(s92_type, type, (
% 18.72/18.95 s92: $i)).
% 18.72/18.95 tff(s91_type, type, (
% 18.72/18.95 s91: $i)).
% 18.72/18.95 tff(s90_type, type, (
% 18.72/18.95 s90: $i)).
% 18.72/18.95 tff(s89_type, type, (
% 18.72/18.95 s89: $i)).
% 18.72/18.95 tff(s88_type, type, (
% 18.72/18.95 s88: $i)).
% 18.72/18.95 tff(s87_type, type, (
% 18.72/18.95 s87: $i)).
% 18.72/18.95 tff(s86_type, type, (
% 18.72/18.95 s86: $i)).
% 18.72/18.95 tff(s85_type, type, (
% 18.72/18.95 s85: $i)).
% 18.72/18.95 tff(s84_type, type, (
% 18.72/18.95 s84: $i)).
% 18.72/18.95 tff(s83_type, type, (
% 18.72/18.95 s83: $i)).
% 18.72/18.95 tff(s82_type, type, (
% 18.72/18.95 s82: $i)).
% 18.72/18.95 tff(s81_type, type, (
% 18.72/18.95 s81: $i)).
% 18.72/18.95 tff(s80_type, type, (
% 18.72/18.95 s80: $i)).
% 18.72/18.95 tff(s79_type, type, (
% 18.72/18.95 s79: $i)).
% 18.72/18.95 tff(s78_type, type, (
% 18.72/18.95 s78: $i)).
% 18.72/18.95 tff(s77_type, type, (
% 18.72/18.95 s77: $i)).
% 18.72/18.95 tff(s76_type, type, (
% 18.72/18.95 s76: $i)).
% 18.72/18.95 tff(s75_type, type, (
% 18.72/18.95 s75: $i)).
% 18.72/18.95 tff(s74_type, type, (
% 18.72/18.95 s74: $i)).
% 18.72/18.95 tff(s73_type, type, (
% 18.72/18.95 s73: $i)).
% 18.72/18.95 tff(until2p29_type, type, (
% 18.72/18.95 until2p29: $i > $o)).
% 18.72/18.95 tff(xuntil2p30_type, type, (
% 18.72/18.95 xuntil2p30: $i > $o)).
% 18.72/18.95 tff(last_type, type, (
% 18.72/18.95 last: $i > $o)).
% 18.72/18.95 tff(loop_type, type, (
% 18.72/18.95 loop: $o)).
% 18.72/18.95 tff(1,plain,
% 18.72/18.95 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(2,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_12')).
% 18.72/18.95 tff(3,plain,
% 18.72/18.95 (m_main_v_state2(s0, c_n2)),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[2, 1])).
% 18.72/18.95 tff(4,plain,
% 18.72/18.95 (^[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))))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(5,plain,
% 18.72/18.95 (![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)))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[4])).
% 18.72/18.95 tff(6,plain,
% 18.72/18.95 (![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(7,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 18.72/18.95 tff(8,plain,
% 18.72/18.95 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[7, 6])).
% 18.72/18.95 tff(9,plain,(
% 18.72/18.95 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 18.72/18.95 inference(skolemize,[status(sab)],[8])).
% 18.72/18.95 tff(10,plain,
% 18.72/18.95 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[9, 5])).
% 18.72/18.95 tff(11,plain,
% 18.72/18.95 (((~![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(12,plain,
% 18.72/18.95 ((~![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)))),
% 18.72/18.95 inference(quant_inst,[status(thm)],[])).
% 18.72/18.95 tff(13,plain,
% 18.72/18.95 ((~![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))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[12, 11])).
% 18.72/18.95 tff(14,plain,
% 18.72/18.95 (~m_main_v_state2(s0, c_t2)),
% 18.72/18.95 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 18.72/18.95 tff(15,plain,
% 18.72/18.95 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(16,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[15])).
% 18.72/18.95 tff(17,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(18,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_57')).
% 18.72/18.95 tff(19,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[18, 17])).
% 18.72/18.95 tff(20,plain,(
% 18.72/18.95 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 18.72/18.95 inference(skolemize,[status(sab)],[19])).
% 18.72/18.95 tff(21,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[20, 16])).
% 18.72/18.95 tff(22,plain,
% 18.72/18.95 (((~![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(23,plain,
% 18.72/18.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 18.72/18.95 inference(quant_inst,[status(thm)],[])).
% 18.72/18.95 tff(24,plain,
% 18.72/18.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[23, 22])).
% 18.72/18.95 tff(25,plain,
% 18.72/18.95 (~node15(s0)),
% 18.72/18.95 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 18.72/18.95 tff(26,plain,
% 18.72/18.95 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(27,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_11')).
% 18.72/18.95 tff(28,plain,
% 18.72/18.95 (m_main_v_state1(s0, c_n1)),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[27, 26])).
% 18.72/18.95 tff(29,plain,
% 18.72/18.95 (^[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))))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(30,plain,
% 18.72/18.95 (![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)))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[29])).
% 18.72/18.95 tff(31,plain,
% 18.72/18.95 (![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(32,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 18.72/18.95 tff(33,plain,
% 18.72/18.95 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[32, 31])).
% 18.72/18.95 tff(34,plain,(
% 18.72/18.95 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 18.72/18.95 inference(skolemize,[status(sab)],[33])).
% 18.72/18.95 tff(35,plain,
% 18.72/18.95 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[34, 30])).
% 18.72/18.95 tff(36,plain,
% 18.72/18.95 (((~![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(37,plain,
% 18.72/18.95 ((~![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)))),
% 18.72/18.95 inference(quant_inst,[status(thm)],[])).
% 18.72/18.95 tff(38,plain,
% 18.72/18.95 ((~![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))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[37, 36])).
% 18.72/18.95 tff(39,plain,
% 18.72/18.95 (~m_main_v_state1(s0, c_t1)),
% 18.72/18.95 inference(unit_resolution,[status(thm)],[38, 35, 28])).
% 18.72/18.95 tff(40,plain,
% 18.72/18.95 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(41,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[40])).
% 18.72/18.95 tff(42,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(43,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_59')).
% 18.72/18.95 tff(44,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[43, 42])).
% 18.72/18.95 tff(45,plain,(
% 18.72/18.95 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 18.72/18.95 inference(skolemize,[status(sab)],[44])).
% 18.72/18.95 tff(46,plain,
% 18.72/18.95 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[45, 41])).
% 18.72/18.95 tff(47,plain,
% 18.72/18.95 (((~![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)))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(48,plain,
% 18.72/18.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 18.72/18.95 inference(quant_inst,[status(thm)],[])).
% 18.72/18.95 tff(49,plain,
% 18.72/18.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[48, 47])).
% 18.72/18.95 tff(50,plain,
% 18.72/18.95 (~node16(s0)),
% 18.72/18.95 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 18.72/18.95 tff(51,plain,
% 18.72/18.95 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(52,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[51])).
% 18.72/18.95 tff(53,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(54,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound201')).
% 18.72/18.95 tff(55,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[54, 53])).
% 18.72/18.95 tff(56,plain,(
% 18.72/18.95 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 18.72/18.95 inference(skolemize,[status(sab)],[55])).
% 18.72/18.95 tff(57,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[56, 52])).
% 18.72/18.95 tff(58,plain,
% 18.72/18.95 (succ(s0, s1) <=> succ(s0, s1)),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(59,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 18.72/18.95 tff(60,plain,
% 18.72/18.95 (succ(s0, s1)),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[59, 58])).
% 18.72/18.95 tff(61,plain,
% 18.72/18.95 (((~![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))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(62,plain,
% 18.72/18.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 18.72/18.95 inference(quant_inst,[status(thm)],[])).
% 18.72/18.95 tff(63,plain,
% 18.72/18.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[62, 61])).
% 18.72/18.95 tff(64,plain,
% 18.72/18.95 (trans(s0, s1)),
% 18.72/18.95 inference(unit_resolution,[status(thm)],[63, 60, 57])).
% 18.72/18.95 tff(65,plain,
% 18.72/18.95 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(66,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[65])).
% 18.72/18.95 tff(67,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(68,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_65')).
% 18.72/18.95 tff(69,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[68, 67])).
% 18.72/18.95 tff(70,plain,(
% 18.72/18.95 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 18.72/18.95 inference(skolemize,[status(sab)],[69])).
% 18.72/18.95 tff(71,plain,
% 18.72/18.95 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[70, 66])).
% 18.79/18.96 tff(72,plain,
% 18.79/18.96 (((~![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))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(73,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(74,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[73, 72])).
% 18.79/18.96 tff(75,plain,
% 18.79/18.96 (node18(s0, s1)),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 18.79/18.96 tff(76,plain,
% 18.79/18.96 (^[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))))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(77,plain,
% 18.79/18.96 (![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)))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[76])).
% 18.79/18.96 tff(78,plain,
% 18.79/18.96 (![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)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(79,plain,
% 18.79/18.96 (^[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)))))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(80,plain,
% 18.79/18.96 (![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)))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[79])).
% 18.79/18.96 tff(81,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_64')).
% 18.79/18.96 tff(82,plain,
% 18.79/18.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[81, 80])).
% 18.79/18.96 tff(83,plain,
% 18.79/18.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[82, 78])).
% 18.79/18.96 tff(84,plain,(
% 18.79/18.96 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 18.79/18.96 inference(skolemize,[status(sab)],[83])).
% 18.79/18.96 tff(85,plain,
% 18.79/18.96 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[84, 77])).
% 18.79/18.96 tff(86,plain,
% 18.79/18.96 (((~![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)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(87,plain,
% 18.79/18.96 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(88,plain,
% 18.79/18.96 (((~![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))))),
% 18.79/18.96 inference(monotonicity,[status(thm)],[87])).
% 18.79/18.96 tff(89,plain,
% 18.79/18.96 (((~![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)))),
% 18.79/18.96 inference(transitivity,[status(thm)],[88, 86])).
% 18.79/18.96 tff(90,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(91,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[90, 89])).
% 18.79/18.96 tff(92,plain,
% 18.79/18.96 (node17(s0, s1)),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[91, 85, 75, 50, 25])).
% 18.79/18.96 tff(93,plain,
% 18.79/18.96 (^[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)))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(94,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[93])).
% 18.79/18.96 tff(95,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(96,plain,
% 18.79/18.96 (^[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))))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(97,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[96])).
% 18.79/18.96 tff(98,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_60')).
% 18.79/18.96 tff(99,plain,
% 18.79/18.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[98, 97])).
% 18.79/18.96 tff(100,plain,
% 18.79/18.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[99, 95])).
% 18.79/18.96 tff(101,plain,(
% 18.79/18.96 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 18.79/18.96 inference(skolemize,[status(sab)],[100])).
% 18.79/18.96 tff(102,plain,
% 18.79/18.96 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[101, 94])).
% 18.79/18.96 tff(103,plain,
% 18.79/18.96 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(104,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_13')).
% 18.79/18.96 tff(105,plain,
% 18.79/18.96 (m_main_v_turn(s0, c_1)),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[104, 103])).
% 18.79/18.96 tff(106,plain,
% 18.79/18.96 (((~![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)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(107,plain,
% 18.79/18.96 (((~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)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(108,plain,
% 18.79/18.96 (((~![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))))),
% 18.79/18.96 inference(monotonicity,[status(thm)],[107])).
% 18.79/18.96 tff(109,plain,
% 18.79/18.96 (((~![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)))),
% 18.79/18.96 inference(transitivity,[status(thm)],[108, 106])).
% 18.79/18.96 tff(110,plain,
% 18.79/18.96 ((~![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))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(111,plain,
% 18.79/18.96 ((~![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))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[110, 109])).
% 18.79/18.96 tff(112,plain,
% 18.79/18.96 (m_main_v_turn(s1, c_1)),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[111, 105, 102, 92])).
% 18.79/18.96 tff(113,plain,
% 18.79/18.96 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(114,plain,
% 18.79/18.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[113])).
% 18.79/18.96 tff(115,plain,
% 18.79/18.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(116,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_36')).
% 18.79/18.96 tff(117,plain,
% 18.79/18.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[116, 115])).
% 18.79/18.96 tff(118,plain,(
% 18.79/18.96 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 18.79/18.96 inference(skolemize,[status(sab)],[117])).
% 18.79/18.96 tff(119,plain,
% 18.79/18.96 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[118, 114])).
% 18.79/18.96 tff(120,plain,
% 18.79/18.96 (((~![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)))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(121,plain,
% 18.79/18.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(122,plain,
% 18.79/18.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[121, 120])).
% 18.79/18.96 tff(123,plain,
% 18.79/18.96 (~node8(s0)),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[122, 119, 39])).
% 18.79/18.96 tff(124,plain,
% 18.79/18.96 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(125,plain,
% 18.79/18.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[124])).
% 18.79/18.96 tff(126,plain,
% 18.79/18.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(127,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_55')).
% 18.79/18.96 tff(128,plain,
% 18.79/18.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[127, 126])).
% 18.79/18.96 tff(129,plain,(
% 18.79/18.96 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 18.79/18.96 inference(skolemize,[status(sab)],[128])).
% 18.79/18.96 tff(130,plain,
% 18.79/18.96 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[129, 125])).
% 18.79/18.96 tff(131,plain,
% 18.79/18.96 (((~![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))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(132,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(133,plain,
% 18.79/18.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[132, 131])).
% 18.79/18.96 tff(134,plain,
% 18.79/18.96 (node14(s0, s1)),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[133, 130, 64])).
% 18.79/18.96 tff(135,plain,
% 18.79/18.96 (^[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)))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(136,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[135])).
% 18.79/18.96 tff(137,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(138,plain,
% 18.79/18.96 (^[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))))),
% 18.79/18.96 inference(bind,[status(th)],[])).
% 18.79/18.96 tff(139,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(quant_intro,[status(thm)],[138])).
% 18.79/18.96 tff(140,axiom,(![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_49')).
% 18.79/18.96 tff(141,plain,
% 18.79/18.96 (![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))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[140, 139])).
% 18.79/18.96 tff(142,plain,
% 18.81/18.97 (![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))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[141, 137])).
% 18.81/18.97 tff(143,plain,(
% 18.81/18.97 ![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))),
% 18.81/18.97 inference(skolemize,[status(sab)],[142])).
% 18.81/18.97 tff(144,plain,
% 18.81/18.97 (![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))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[143, 136])).
% 18.81/18.97 tff(145,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(146,plain,
% 18.81/18.97 (((~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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(147,plain,
% 18.81/18.97 (((~![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))))),
% 18.81/18.97 inference(monotonicity,[status(thm)],[146])).
% 18.81/18.97 tff(148,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(transitivity,[status(thm)],[147, 145])).
% 18.81/18.97 tff(149,plain,
% 18.81/18.97 ((~![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))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(150,plain,
% 18.81/18.97 ((~![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))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[149, 148])).
% 18.81/18.97 tff(151,plain,
% 18.81/18.97 (m_main_v_state2(s1, c_t2)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[150, 28, 3, 144, 134, 123])).
% 18.81/18.97 tff(152,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(153,plain,
% 18.81/18.97 ((~![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)))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(154,plain,
% 18.81/18.97 ((~![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))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[153, 152])).
% 18.81/18.97 tff(155,plain,
% 18.81/18.97 (~m_main_v_state2(s1, c_n2)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[154, 10, 151])).
% 18.81/18.97 tff(156,plain,
% 18.81/18.97 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 18.81/18.97 inference(bind,[status(th)],[])).
% 18.81/18.97 tff(157,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 18.81/18.97 inference(quant_intro,[status(thm)],[156])).
% 18.81/18.97 tff(158,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(159,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_21')).
% 18.81/18.97 tff(160,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[159, 158])).
% 18.81/18.97 tff(161,plain,(
% 18.81/18.97 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 18.81/18.97 inference(skolemize,[status(sab)],[160])).
% 18.81/18.97 tff(162,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[161, 157])).
% 18.81/18.97 tff(163,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(164,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(165,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[164, 163])).
% 18.81/18.97 tff(166,plain,
% 18.81/18.97 (~node4(s1)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[165, 162, 155])).
% 18.81/18.97 tff(167,plain,
% 18.81/18.97 (^[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))))),
% 18.81/18.97 inference(bind,[status(th)],[])).
% 18.81/18.97 tff(168,plain,
% 18.81/18.97 (![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)))),
% 18.81/18.97 inference(quant_intro,[status(thm)],[167])).
% 18.81/18.97 tff(169,plain,
% 18.81/18.97 (![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(170,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 18.81/18.97 tff(171,plain,
% 18.81/18.97 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[170, 169])).
% 18.81/18.97 tff(172,plain,(
% 18.81/18.97 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 18.81/18.97 inference(skolemize,[status(sab)],[171])).
% 18.81/18.97 tff(173,plain,
% 18.81/18.97 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[172, 168])).
% 18.81/18.97 tff(174,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(175,plain,
% 18.81/18.97 ((~![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)))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(176,plain,
% 18.81/18.97 ((~![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))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[175, 174])).
% 18.81/18.97 tff(177,plain,
% 18.81/18.97 (~m_main_v_state2(s1, c_c2)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[176, 173, 151])).
% 18.81/18.97 tff(178,plain,
% 18.81/18.97 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 18.81/18.97 inference(bind,[status(th)],[])).
% 18.81/18.97 tff(179,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 18.81/18.97 inference(quant_intro,[status(thm)],[178])).
% 18.81/18.97 tff(180,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(181,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_19')).
% 18.81/18.97 tff(182,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[181, 180])).
% 18.81/18.97 tff(183,plain,(
% 18.81/18.97 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 18.81/18.97 inference(skolemize,[status(sab)],[182])).
% 18.81/18.97 tff(184,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[183, 179])).
% 18.81/18.97 tff(185,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(186,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(187,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[186, 185])).
% 18.81/18.97 tff(188,plain,
% 18.81/18.97 (~node3(s1)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 18.81/18.97 tff(189,plain,
% 18.81/18.97 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 18.81/18.97 inference(bind,[status(th)],[])).
% 18.81/18.97 tff(190,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 18.81/18.97 inference(quant_intro,[status(thm)],[189])).
% 18.81/18.97 tff(191,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_17')).
% 18.81/18.97 tff(193,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[192, 191])).
% 18.81/18.97 tff(194,plain,(
% 18.81/18.97 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 18.81/18.97 inference(skolemize,[status(sab)],[193])).
% 18.81/18.97 tff(195,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[194, 190])).
% 18.81/18.97 tff(196,plain,
% 18.81/18.97 (((~![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)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(197,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 18.81/18.97 inference(quant_inst,[status(thm)],[])).
% 18.81/18.97 tff(198,plain,
% 18.81/18.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 18.81/18.97 inference(modus_ponens,[status(thm)],[197, 196])).
% 18.81/18.97 tff(199,plain,
% 18.81/18.97 (~node2(s1)),
% 18.81/18.97 inference(unit_resolution,[status(thm)],[198, 195, 155])).
% 18.81/18.97 tff(200,plain,
% 18.81/18.97 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 18.81/18.97 inference(bind,[status(th)],[])).
% 18.81/18.97 tff(201,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 18.81/18.97 inference(quant_intro,[status(thm)],[200])).
% 18.81/18.97 tff(202,plain,
% 18.81/18.97 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 18.81/18.97 inference(rewrite,[status(thm)],[])).
% 18.81/18.97 tff(203,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_15')).
% 18.81/18.98 tff(204,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[203, 202])).
% 18.81/18.98 tff(205,plain,(
% 18.81/18.98 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 18.81/18.98 inference(skolemize,[status(sab)],[204])).
% 18.81/18.98 tff(206,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[205, 201])).
% 18.81/18.98 tff(207,plain,
% 18.81/18.98 (((~![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)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(208,plain,
% 18.81/18.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(209,plain,
% 18.81/18.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[208, 207])).
% 18.81/18.98 tff(210,plain,
% 18.81/18.98 (~node1(s0)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[209, 206, 14])).
% 18.81/18.98 tff(211,plain,
% 18.81/18.98 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 18.81/18.98 inference(bind,[status(th)],[])).
% 18.81/18.98 tff(212,plain,
% 18.81/18.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 18.81/18.98 inference(quant_intro,[status(thm)],[211])).
% 18.81/18.98 tff(213,plain,
% 18.81/18.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(214,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_34')).
% 18.81/18.98 tff(215,plain,
% 18.81/18.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[214, 213])).
% 18.81/18.98 tff(216,plain,(
% 18.81/18.98 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 18.81/18.98 inference(skolemize,[status(sab)],[215])).
% 18.81/18.98 tff(217,plain,
% 18.81/18.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[216, 212])).
% 18.81/18.98 tff(218,plain,
% 18.81/18.98 (((~![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))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(219,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(220,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[219, 218])).
% 18.81/18.98 tff(221,plain,
% 18.81/18.98 (node7(s0, s1)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[220, 217, 64])).
% 18.81/18.98 tff(222,plain,
% 18.81/18.98 (^[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)))),
% 18.81/18.98 inference(bind,[status(th)],[])).
% 18.81/18.98 tff(223,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(quant_intro,[status(thm)],[222])).
% 18.81/18.98 tff(224,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(225,plain,
% 18.81/18.98 (^[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))))),
% 18.81/18.98 inference(bind,[status(th)],[])).
% 18.81/18.98 tff(226,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(quant_intro,[status(thm)],[225])).
% 18.81/18.98 tff(227,axiom,(![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_28')).
% 18.81/18.98 tff(228,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[227, 226])).
% 18.81/18.98 tff(229,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[228, 224])).
% 18.81/18.98 tff(230,plain,(
% 18.81/18.98 ![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))),
% 18.81/18.98 inference(skolemize,[status(sab)],[229])).
% 18.81/18.98 tff(231,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[230, 223])).
% 18.81/18.98 tff(232,plain,
% 18.81/18.98 (((~![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)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(233,plain,
% 18.81/18.98 (((~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)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(234,plain,
% 18.81/18.98 (((~![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))))),
% 18.81/18.98 inference(monotonicity,[status(thm)],[233])).
% 18.81/18.98 tff(235,plain,
% 18.81/18.98 (((~![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)))),
% 18.81/18.98 inference(transitivity,[status(thm)],[234, 232])).
% 18.81/18.98 tff(236,plain,
% 18.81/18.98 ((~![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))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(237,plain,
% 18.81/18.98 ((~![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))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[236, 235])).
% 18.81/18.98 tff(238,plain,
% 18.81/18.98 (m_main_v_state1(s1, c_t1)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[237, 28, 3, 231, 221, 210])).
% 18.81/18.98 tff(239,plain,
% 18.81/18.98 (((~![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)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(240,plain,
% 18.81/18.98 ((~![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)))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(241,plain,
% 18.81/18.98 ((~![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))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[240, 239])).
% 18.81/18.98 tff(242,plain,
% 18.81/18.98 (~m_main_v_state1(s1, c_n1)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[241, 35, 238])).
% 18.81/18.98 tff(243,plain,
% 18.81/18.98 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 18.81/18.98 inference(bind,[status(th)],[])).
% 18.81/18.98 tff(244,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 18.81/18.98 inference(quant_intro,[status(thm)],[243])).
% 18.81/18.98 tff(245,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(246,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_14')).
% 18.81/18.98 tff(247,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[246, 245])).
% 18.81/18.98 tff(248,plain,(
% 18.81/18.98 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 18.81/18.98 inference(skolemize,[status(sab)],[247])).
% 18.81/18.98 tff(249,plain,
% 18.81/18.98 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[248, 244])).
% 18.81/18.98 tff(250,plain,
% 18.81/18.98 (((~![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)))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(251,plain,
% 18.81/18.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(252,plain,
% 18.81/18.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[251, 250])).
% 18.81/18.98 tff(253,plain,
% 18.81/18.98 (~node1(s1)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[252, 249, 242])).
% 18.81/18.98 tff(254,plain,
% 18.81/18.98 (succ(s1, s2) <=> succ(s1, s2)),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(255,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 18.81/18.98 tff(256,plain,
% 18.81/18.98 (succ(s1, s2)),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[255, 254])).
% 18.81/18.98 tff(257,plain,
% 18.81/18.98 (((~![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))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(258,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(259,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[258, 257])).
% 18.81/18.98 tff(260,plain,
% 18.81/18.98 (trans(s1, s2)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[259, 256, 57])).
% 18.81/18.98 tff(261,plain,
% 18.81/18.98 (((~![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))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(262,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 18.81/18.98 inference(quant_inst,[status(thm)],[])).
% 18.81/18.98 tff(263,plain,
% 18.81/18.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 18.81/18.98 inference(modus_ponens,[status(thm)],[262, 261])).
% 18.81/18.98 tff(264,plain,
% 18.81/18.98 (node7(s1, s2)),
% 18.81/18.98 inference(unit_resolution,[status(thm)],[263, 217, 260])).
% 18.81/18.98 tff(265,plain,
% 18.81/18.98 (^[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)))),
% 18.81/18.98 inference(bind,[status(th)],[])).
% 18.81/18.98 tff(266,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(quant_intro,[status(thm)],[265])).
% 18.81/18.98 tff(267,plain,
% 18.81/18.98 (![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))),
% 18.81/18.98 inference(rewrite,[status(thm)],[])).
% 18.81/18.98 tff(268,plain,
% 18.81/18.98 (^[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))))),
% 18.81/18.99 inference(bind,[status(th)],[])).
% 18.81/18.99 tff(269,plain,
% 18.81/18.99 (![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))),
% 18.81/18.99 inference(quant_intro,[status(thm)],[268])).
% 18.81/18.99 tff(270,axiom,(![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_31')).
% 18.81/18.99 tff(271,plain,
% 18.81/18.99 (![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))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[270, 269])).
% 18.81/18.99 tff(272,plain,
% 18.81/18.99 (![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))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[271, 267])).
% 18.81/18.99 tff(273,plain,(
% 18.81/18.99 ![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))),
% 18.81/18.99 inference(skolemize,[status(sab)],[272])).
% 18.81/18.99 tff(274,plain,
% 18.81/18.99 (![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))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[273, 266])).
% 18.81/18.99 tff(275,plain,
% 18.81/18.99 (((~![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)))),
% 18.81/18.99 inference(rewrite,[status(thm)],[])).
% 18.81/18.99 tff(276,plain,
% 18.81/18.99 (((~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)))),
% 18.81/18.99 inference(rewrite,[status(thm)],[])).
% 18.81/18.99 tff(277,plain,
% 18.81/18.99 (((~![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))))),
% 18.81/18.99 inference(monotonicity,[status(thm)],[276])).
% 18.81/18.99 tff(278,plain,
% 18.81/18.99 (((~![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)))),
% 18.81/18.99 inference(transitivity,[status(thm)],[277, 275])).
% 18.81/18.99 tff(279,plain,
% 18.81/18.99 ((~![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))),
% 18.81/18.99 inference(quant_inst,[status(thm)],[])).
% 18.81/18.99 tff(280,plain,
% 18.81/18.99 ((~![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))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[279, 278])).
% 18.81/18.99 tff(281,plain,
% 18.81/18.99 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 18.81/18.99 inference(unit_resolution,[status(thm)],[280, 274, 264, 151, 238])).
% 18.81/18.99 tff(282,plain,
% 18.81/18.99 (m_main_v_state1(s2, c_c1)),
% 18.81/18.99 inference(unit_resolution,[status(thm)],[281, 253, 199, 188, 166, 112])).
% 18.81/18.99 tff(283,plain,
% 18.81/18.99 (^[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))))),
% 18.81/18.99 inference(bind,[status(th)],[])).
% 18.81/18.99 tff(284,plain,
% 18.81/18.99 (![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)))),
% 18.81/18.99 inference(quant_intro,[status(thm)],[283])).
% 18.81/18.99 tff(285,plain,
% 18.81/18.99 (![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)))),
% 18.81/18.99 inference(rewrite,[status(thm)],[])).
% 18.81/18.99 tff(286,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 18.81/18.99 tff(287,plain,
% 18.81/18.99 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[286, 285])).
% 18.81/18.99 tff(288,plain,(
% 18.81/18.99 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 18.81/18.99 inference(skolemize,[status(sab)],[287])).
% 18.81/18.99 tff(289,plain,
% 18.81/18.99 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[288, 284])).
% 18.81/18.99 tff(290,plain,
% 18.81/18.99 (((~![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)))),
% 18.81/18.99 inference(rewrite,[status(thm)],[])).
% 18.81/18.99 tff(291,plain,
% 18.81/18.99 ((~![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)))),
% 18.81/18.99 inference(quant_inst,[status(thm)],[])).
% 18.81/18.99 tff(292,plain,
% 18.81/18.99 ((~![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))),
% 18.81/18.99 inference(modus_ponens,[status(thm)],[291, 290])).
% 18.81/18.99 tff(293,plain,
% 18.81/18.99 (~m_main_v_state1(s2, c_t1)),
% 18.81/18.99 inference(unit_resolution,[status(thm)],[292, 289, 282])).
% 18.81/18.99 tff(294,plain,
% 18.81/18.99 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 18.81/18.99 inference(bind,[status(th)],[])).
% 18.81/18.99 tff(295,plain,
% 18.81/18.99 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 18.81/18.99 inference(quant_intro,[status(thm)],[294])).
% 18.81/18.99 tff(296,plain,
% 18.81/18.99 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 18.81/18.99 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(297,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_22')).
% 18.81/19.00 tff(298,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[297, 296])).
% 18.81/19.00 tff(299,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[298])).
% 18.81/19.00 tff(300,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[299, 295])).
% 18.81/19.00 tff(301,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(302,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(303,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[302, 301])).
% 18.81/19.00 tff(304,plain,
% 18.81/19.00 (~node5(s2)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[303, 300, 293])).
% 18.81/19.00 tff(305,plain,
% 18.81/19.00 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(306,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[305])).
% 18.81/19.00 tff(307,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(308,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_37')).
% 18.81/19.00 tff(309,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[308, 307])).
% 18.81/19.00 tff(310,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[309])).
% 18.81/19.00 tff(311,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[310, 306])).
% 18.81/19.00 tff(312,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(313,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(314,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[313, 312])).
% 18.81/19.00 tff(315,plain,
% 18.81/19.00 (~node9(s1)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[314, 311, 155])).
% 18.81/19.00 tff(316,plain,
% 18.81/19.00 (^[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))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(317,plain,
% 18.81/19.00 (![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)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[316])).
% 18.81/19.00 tff(318,plain,
% 18.81/19.00 (![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(319,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_10')).
% 18.81/19.00 tff(320,plain,
% 18.81/19.00 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[319, 318])).
% 18.81/19.00 tff(321,plain,(
% 18.81/19.00 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[320])).
% 18.81/19.00 tff(322,plain,
% 18.81/19.00 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[321, 317])).
% 18.81/19.00 tff(323,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(324,plain,
% 18.81/19.00 ((~![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)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(325,plain,
% 18.81/19.00 ((~![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))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[324, 323])).
% 18.81/19.00 tff(326,plain,
% 18.81/19.00 (~m_main_v_turn(s0, c_2)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[325, 322, 105])).
% 18.81/19.00 tff(327,plain,
% 18.81/19.00 (^[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))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(328,plain,
% 18.81/19.00 (![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)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[327])).
% 18.81/19.00 tff(329,plain,
% 18.81/19.00 (![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(330,plain,
% 18.81/19.00 (^[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))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(331,plain,
% 18.81/19.00 (![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)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[330])).
% 18.81/19.00 tff(332,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_61')).
% 18.81/19.00 tff(333,plain,
% 18.81/19.00 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[332, 331])).
% 18.81/19.00 tff(334,plain,
% 18.81/19.00 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[333, 329])).
% 18.81/19.00 tff(335,plain,(
% 18.81/19.00 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[334])).
% 18.81/19.00 tff(336,plain,
% 18.81/19.00 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[335, 328])).
% 18.81/19.00 tff(337,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(338,plain,
% 18.81/19.00 (((~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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(339,plain,
% 18.81/19.00 (((~![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))))),
% 18.81/19.00 inference(monotonicity,[status(thm)],[338])).
% 18.81/19.00 tff(340,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(transitivity,[status(thm)],[339, 337])).
% 18.81/19.00 tff(341,plain,
% 18.81/19.00 ((~![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)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(342,plain,
% 18.81/19.00 ((~![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))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[341, 340])).
% 18.81/19.00 tff(343,plain,
% 18.81/19.00 (~m_main_v_turn(s1, c_2)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[342, 336, 326, 92])).
% 18.81/19.00 tff(344,plain,
% 18.81/19.00 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(345,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[344])).
% 18.81/19.00 tff(346,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(347,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_45')).
% 18.81/19.00 tff(348,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[347, 346])).
% 18.81/19.00 tff(349,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[348])).
% 18.81/19.00 tff(350,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[349, 345])).
% 18.81/19.00 tff(351,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(352,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(353,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[352, 351])).
% 18.81/19.00 tff(354,plain,
% 18.81/19.00 (~node12(s1)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[353, 350, 343])).
% 18.81/19.00 tff(355,plain,
% 18.81/19.00 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(356,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[355])).
% 18.81/19.00 tff(357,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(358,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_42')).
% 18.81/19.00 tff(359,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[358, 357])).
% 18.81/19.00 tff(360,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[359])).
% 18.81/19.00 tff(361,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[360, 356])).
% 18.81/19.00 tff(362,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(363,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(364,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[363, 362])).
% 18.81/19.00 tff(365,plain,
% 18.81/19.00 (~node11(s1)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[364, 361, 242])).
% 18.81/19.00 tff(366,plain,
% 18.81/19.00 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(367,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[366])).
% 18.81/19.00 tff(368,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(369,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_39')).
% 18.81/19.00 tff(370,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[369, 368])).
% 18.81/19.00 tff(371,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[370])).
% 18.81/19.00 tff(372,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[371, 367])).
% 18.81/19.00 tff(373,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(374,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(375,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[374, 373])).
% 18.81/19.00 tff(376,plain,
% 18.81/19.00 (~node10(s1)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[375, 372, 155])).
% 18.81/19.00 tff(377,plain,
% 18.81/19.00 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 18.81/19.00 inference(bind,[status(th)],[])).
% 18.81/19.00 tff(378,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 18.81/19.00 inference(quant_intro,[status(thm)],[377])).
% 18.81/19.00 tff(379,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(380,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_35')).
% 18.81/19.00 tff(381,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[380, 379])).
% 18.81/19.00 tff(382,plain,(
% 18.81/19.00 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 18.81/19.00 inference(skolemize,[status(sab)],[381])).
% 18.81/19.00 tff(383,plain,
% 18.81/19.00 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[382, 378])).
% 18.81/19.00 tff(384,plain,
% 18.81/19.00 (((~![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)))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(385,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 18.81/19.00 inference(quant_inst,[status(thm)],[])).
% 18.81/19.00 tff(386,plain,
% 18.81/19.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 18.81/19.00 inference(modus_ponens,[status(thm)],[385, 384])).
% 18.81/19.00 tff(387,plain,
% 18.81/19.00 (~node8(s1)),
% 18.81/19.00 inference(unit_resolution,[status(thm)],[386, 383, 155])).
% 18.81/19.00 tff(388,plain,
% 18.81/19.00 (((~![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))),
% 18.81/19.00 inference(rewrite,[status(thm)],[])).
% 18.81/19.00 tff(389,plain,
% 18.81/19.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 18.81/19.01 inference(quant_inst,[status(thm)],[])).
% 18.81/19.01 tff(390,plain,
% 18.81/19.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 18.81/19.01 inference(modus_ponens,[status(thm)],[389, 388])).
% 18.81/19.01 tff(391,plain,
% 18.81/19.01 (node14(s1, s2)),
% 18.81/19.01 inference(unit_resolution,[status(thm)],[390, 130, 260])).
% 18.81/19.01 tff(392,plain,
% 18.81/19.01 (^[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))))),
% 18.81/19.01 inference(bind,[status(th)],[])).
% 18.81/19.01 tff(393,plain,
% 18.81/19.01 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 18.81/19.01 inference(quant_intro,[status(thm)],[392])).
% 18.81/19.01 tff(394,plain,
% 18.81/19.01 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 18.81/19.01 inference(rewrite,[status(thm)],[])).
% 18.81/19.01 tff(395,plain,
% 18.81/19.01 (^[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)))))),
% 18.84/19.01 inference(bind,[status(th)],[])).
% 18.84/19.01 tff(396,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(quant_intro,[status(thm)],[395])).
% 18.84/19.01 tff(397,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_54')).
% 18.84/19.01 tff(398,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[397, 396])).
% 18.84/19.01 tff(399,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[398, 394])).
% 18.84/19.01 tff(400,plain,(
% 18.84/19.01 ![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)))),
% 18.84/19.01 inference(skolemize,[status(sab)],[399])).
% 18.84/19.01 tff(401,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[400, 393])).
% 18.84/19.01 tff(402,plain,
% 18.84/19.01 (((~![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(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)))),
% 18.84/19.01 inference(rewrite,[status(thm)],[])).
% 18.84/19.01 tff(403,plain,
% 18.84/19.01 ((~![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(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 18.84/19.01 inference(quant_inst,[status(thm)],[])).
% 18.84/19.01 tff(404,plain,
% 18.84/19.01 ((~![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(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[403, 402])).
% 18.84/19.01 tff(405,plain,
% 18.84/19.01 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 18.84/19.01 inference(unit_resolution,[status(thm)],[404, 401, 391])).
% 18.84/19.01 tff(406,plain,
% 18.84/19.01 (node13(s1, s2)),
% 18.84/19.01 inference(unit_resolution,[status(thm)],[405, 387, 177, 376, 365, 354, 315])).
% 18.84/19.01 tff(407,plain,
% 18.84/19.01 (^[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))))),
% 18.84/19.01 inference(bind,[status(th)],[])).
% 18.84/19.01 tff(408,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(quant_intro,[status(thm)],[407])).
% 18.84/19.01 tff(409,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(rewrite,[status(thm)],[])).
% 18.84/19.01 tff(410,plain,
% 18.84/19.01 (^[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))))),
% 18.84/19.01 inference(bind,[status(th)],[])).
% 18.84/19.01 tff(411,plain,
% 18.84/19.01 (![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)))),
% 18.84/19.01 inference(quant_intro,[status(thm)],[410])).
% 18.84/19.01 tff(412,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_47')).
% 18.84/19.01 tff(413,plain,
% 18.84/19.01 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[412, 411])).
% 18.84/19.01 tff(414,plain,
% 18.84/19.01 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[413, 409])).
% 18.84/19.01 tff(415,plain,(
% 18.84/19.01 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 18.84/19.01 inference(skolemize,[status(sab)],[414])).
% 18.84/19.01 tff(416,plain,
% 18.84/19.01 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[415, 408])).
% 18.84/19.01 tff(417,plain,
% 18.84/19.01 (((~![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(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)))),
% 18.84/19.01 inference(rewrite,[status(thm)],[])).
% 18.84/19.01 tff(418,plain,
% 18.84/19.01 (((~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)))),
% 18.84/19.01 inference(rewrite,[status(thm)],[])).
% 18.84/19.01 tff(419,plain,
% 18.84/19.01 (((~![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))))),
% 18.84/19.01 inference(monotonicity,[status(thm)],[418])).
% 18.84/19.01 tff(420,plain,
% 18.84/19.01 (((~![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)))),
% 18.84/19.01 inference(transitivity,[status(thm)],[419, 417])).
% 18.84/19.01 tff(421,plain,
% 18.84/19.01 ((~![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)))),
% 18.84/19.01 inference(quant_inst,[status(thm)],[])).
% 18.84/19.01 tff(422,plain,
% 18.84/19.01 ((~![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(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[421, 420])).
% 18.84/19.01 tff(423,plain,
% 18.84/19.01 (~m_main_v_state2(s2, c_n2)),
% 18.84/19.01 inference(unit_resolution,[status(thm)],[422, 416, 155, 406])).
% 18.84/19.01 tff(424,plain,
% 18.84/19.01 (((~![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)))),
% 18.84/19.01 inference(rewrite,[status(thm)],[])).
% 18.84/19.01 tff(425,plain,
% 18.84/19.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 18.84/19.01 inference(quant_inst,[status(thm)],[])).
% 18.84/19.01 tff(426,plain,
% 18.84/19.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 18.84/19.01 inference(modus_ponens,[status(thm)],[425, 424])).
% 18.84/19.01 tff(427,plain,
% 18.84/19.01 (~node4(s2)),
% 18.84/19.01 inference(unit_resolution,[status(thm)],[426, 162, 423])).
% 18.84/19.02 tff(428,plain,
% 18.84/19.02 (((~![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(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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(429,plain,
% 18.84/19.02 (((~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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(430,plain,
% 18.84/19.02 (((~![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))))),
% 18.84/19.02 inference(monotonicity,[status(thm)],[429])).
% 18.84/19.02 tff(431,plain,
% 18.84/19.02 (((~![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)))),
% 18.84/19.02 inference(transitivity,[status(thm)],[430, 428])).
% 18.84/19.02 tff(432,plain,
% 18.84/19.02 ((~![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)))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(433,plain,
% 18.84/19.02 ((~![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(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[432, 431])).
% 18.84/19.02 tff(434,plain,
% 18.84/19.02 (~m_main_v_state2(s2, c_c2)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[433, 416, 177, 406])).
% 18.84/19.02 tff(435,plain,
% 18.84/19.02 (((~![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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(436,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(437,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[436, 435])).
% 18.84/19.02 tff(438,plain,
% 18.84/19.02 (~node3(s2)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[437, 184, 434])).
% 18.84/19.02 tff(439,plain,
% 18.84/19.02 (((~![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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(440,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(441,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[440, 439])).
% 18.84/19.02 tff(442,plain,
% 18.84/19.02 (~node2(s2)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[441, 195, 423])).
% 18.84/19.02 tff(443,plain,
% 18.84/19.02 (^[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))))),
% 18.84/19.02 inference(bind,[status(th)],[])).
% 18.84/19.02 tff(444,plain,
% 18.84/19.02 (![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)))),
% 18.84/19.02 inference(quant_intro,[status(thm)],[443])).
% 18.84/19.02 tff(445,plain,
% 18.84/19.02 (![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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(446,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 18.84/19.02 tff(447,plain,
% 18.84/19.02 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[446, 445])).
% 18.84/19.02 tff(448,plain,(
% 18.84/19.02 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 18.84/19.02 inference(skolemize,[status(sab)],[447])).
% 18.84/19.02 tff(449,plain,
% 18.84/19.02 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[448, 444])).
% 18.84/19.02 tff(450,plain,
% 18.84/19.02 (((~![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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(451,plain,
% 18.84/19.02 ((~![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)))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(452,plain,
% 18.84/19.02 ((~![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))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[451, 450])).
% 18.84/19.02 tff(453,plain,
% 18.84/19.02 (~m_main_v_state1(s2, c_n1)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[452, 449, 282])).
% 18.84/19.02 tff(454,plain,
% 18.84/19.02 (((~![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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(455,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(456,plain,
% 18.84/19.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[455, 454])).
% 18.84/19.02 tff(457,plain,
% 18.84/19.02 (~node1(s2)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[456, 249, 453])).
% 18.84/19.02 tff(458,plain,
% 18.84/19.02 (succ(s2, s3) <=> succ(s2, s3)),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(459,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 18.84/19.02 tff(460,plain,
% 18.84/19.02 (succ(s2, s3)),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[459, 458])).
% 18.84/19.02 tff(461,plain,
% 18.84/19.02 (((~![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))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(462,plain,
% 18.84/19.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(463,plain,
% 18.84/19.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[462, 461])).
% 18.84/19.02 tff(464,plain,
% 18.84/19.02 (trans(s2, s3)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[463, 460, 57])).
% 18.84/19.02 tff(465,plain,
% 18.84/19.02 (((~![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))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(466,plain,
% 18.84/19.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(467,plain,
% 18.84/19.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[466, 465])).
% 18.84/19.02 tff(468,plain,
% 18.84/19.02 (node7(s2, s3)),
% 18.84/19.02 inference(unit_resolution,[status(thm)],[467, 217, 464])).
% 18.84/19.02 tff(469,plain,
% 18.84/19.02 (^[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)))),
% 18.84/19.02 inference(bind,[status(th)],[])).
% 18.84/19.02 tff(470,plain,
% 18.84/19.02 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 18.84/19.02 inference(quant_intro,[status(thm)],[469])).
% 18.84/19.02 tff(471,plain,
% 18.84/19.02 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(472,plain,
% 18.84/19.02 (^[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))))),
% 18.84/19.02 inference(bind,[status(th)],[])).
% 18.84/19.02 tff(473,plain,
% 18.84/19.02 (![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))),
% 18.84/19.02 inference(quant_intro,[status(thm)],[472])).
% 18.84/19.02 tff(474,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_32')).
% 18.84/19.02 tff(475,plain,
% 18.84/19.02 (![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))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[474, 473])).
% 18.84/19.02 tff(476,plain,
% 18.84/19.02 (![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))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[475, 471])).
% 18.84/19.02 tff(477,plain,(
% 18.84/19.02 ![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))),
% 18.84/19.02 inference(skolemize,[status(sab)],[476])).
% 18.84/19.02 tff(478,plain,
% 18.84/19.02 (![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))),
% 18.84/19.02 inference(modus_ponens,[status(thm)],[477, 470])).
% 18.84/19.02 tff(479,plain,
% 18.84/19.02 (((~![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(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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(480,plain,
% 18.84/19.02 (((~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)))),
% 18.84/19.02 inference(rewrite,[status(thm)],[])).
% 18.84/19.02 tff(481,plain,
% 18.84/19.02 (((~![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(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))))),
% 18.84/19.02 inference(monotonicity,[status(thm)],[480])).
% 18.84/19.02 tff(482,plain,
% 18.84/19.02 (((~![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(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)))),
% 18.84/19.02 inference(transitivity,[status(thm)],[481, 479])).
% 18.84/19.02 tff(483,plain,
% 18.84/19.02 ((~![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(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 18.84/19.02 inference(quant_inst,[status(thm)],[])).
% 18.84/19.02 tff(484,plain,
% 18.84/19.02 ((~![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(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[483, 482])).
% 18.84/19.03 tff(485,plain,
% 18.84/19.03 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[484, 478, 468])).
% 18.84/19.03 tff(486,plain,
% 18.84/19.03 (m_main_v_state1(s3, c_n1)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[485, 457, 282, 442, 438, 427, 304])).
% 18.84/19.03 tff(487,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(488,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(489,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[488, 487])).
% 18.84/19.03 tff(490,plain,
% 18.84/19.03 (~node9(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[489, 311, 423])).
% 18.84/19.03 tff(491,plain,
% 18.84/19.03 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 18.84/19.03 inference(bind,[status(th)],[])).
% 18.84/19.03 tff(492,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 18.84/19.03 inference(quant_intro,[status(thm)],[491])).
% 18.84/19.03 tff(493,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(494,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_58')).
% 18.84/19.03 tff(495,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[494, 493])).
% 18.84/19.03 tff(496,plain,(
% 18.84/19.03 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 18.84/19.03 inference(skolemize,[status(sab)],[495])).
% 18.84/19.03 tff(497,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[496, 492])).
% 18.84/19.03 tff(498,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(499,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(500,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[499, 498])).
% 18.84/19.03 tff(501,plain,
% 18.84/19.03 (~node16(s1)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[500, 497, 155])).
% 18.84/19.03 tff(502,plain,
% 18.84/19.03 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 18.84/19.03 inference(bind,[status(th)],[])).
% 18.84/19.03 tff(503,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 18.84/19.03 inference(quant_intro,[status(thm)],[502])).
% 18.84/19.03 tff(504,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(505,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_56')).
% 18.84/19.03 tff(506,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[505, 504])).
% 18.84/19.03 tff(507,plain,(
% 18.84/19.03 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 18.84/19.03 inference(skolemize,[status(sab)],[506])).
% 18.84/19.03 tff(508,plain,
% 18.84/19.03 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[507, 503])).
% 18.84/19.03 tff(509,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(510,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(511,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[510, 509])).
% 18.84/19.03 tff(512,plain,
% 18.84/19.03 (~node15(s1)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[511, 508, 242])).
% 18.84/19.03 tff(513,plain,
% 18.84/19.03 (((~![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))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(514,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(515,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[514, 513])).
% 18.84/19.03 tff(516,plain,
% 18.84/19.03 (node18(s1, s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[515, 71, 260])).
% 18.84/19.03 tff(517,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(518,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(519,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[518, 517])).
% 18.84/19.03 tff(520,plain,
% 18.84/19.03 (node15(s1) | node16(s1) | node17(s1, s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[519, 85, 516])).
% 18.84/19.03 tff(521,plain,
% 18.84/19.03 (node17(s1, s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[520, 512, 501])).
% 18.84/19.03 tff(522,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(523,plain,
% 18.84/19.03 (((~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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(524,plain,
% 18.84/19.03 (((~![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))))),
% 18.84/19.03 inference(monotonicity,[status(thm)],[523])).
% 18.84/19.03 tff(525,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(transitivity,[status(thm)],[524, 522])).
% 18.84/19.03 tff(526,plain,
% 18.84/19.03 ((~![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)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(527,plain,
% 18.84/19.03 ((~![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))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[526, 525])).
% 18.84/19.03 tff(528,plain,
% 18.84/19.03 (~m_main_v_turn(s2, c_2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[527, 336, 521, 343])).
% 18.84/19.03 tff(529,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(530,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(531,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[530, 529])).
% 18.84/19.03 tff(532,plain,
% 18.84/19.03 (~node12(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[531, 350, 528])).
% 18.84/19.03 tff(533,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(534,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(535,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[534, 533])).
% 18.84/19.03 tff(536,plain,
% 18.84/19.03 (~node11(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[535, 361, 453])).
% 18.84/19.03 tff(537,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(538,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(539,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[538, 537])).
% 18.84/19.03 tff(540,plain,
% 18.84/19.03 (~node10(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[539, 372, 423])).
% 18.84/19.03 tff(541,plain,
% 18.84/19.03 (((~![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)))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(542,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(543,plain,
% 18.84/19.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[542, 541])).
% 18.84/19.03 tff(544,plain,
% 18.84/19.03 (~node8(s2)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[543, 383, 423])).
% 18.84/19.03 tff(545,plain,
% 18.84/19.03 (((~![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))),
% 18.84/19.03 inference(rewrite,[status(thm)],[])).
% 18.84/19.03 tff(546,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 18.84/19.03 inference(quant_inst,[status(thm)],[])).
% 18.84/19.03 tff(547,plain,
% 18.84/19.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 18.84/19.03 inference(modus_ponens,[status(thm)],[546, 545])).
% 18.84/19.03 tff(548,plain,
% 18.84/19.03 (node14(s2, s3)),
% 18.84/19.03 inference(unit_resolution,[status(thm)],[547, 130, 464])).
% 18.84/19.03 tff(549,plain,
% 18.84/19.03 (((~![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(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)))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(550,plain,
% 18.87/19.04 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 18.87/19.04 inference(quant_inst,[status(thm)],[])).
% 18.87/19.04 tff(551,plain,
% 18.87/19.04 ((~![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(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[550, 549])).
% 18.87/19.04 tff(552,plain,
% 18.87/19.04 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[551, 401, 548])).
% 18.87/19.04 tff(553,plain,
% 18.87/19.04 (node13(s2, s3)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[552, 544, 434, 540, 536, 532, 490])).
% 18.87/19.04 tff(554,plain,
% 18.87/19.04 (^[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)))),
% 18.87/19.04 inference(bind,[status(th)],[])).
% 18.87/19.04 tff(555,plain,
% 18.87/19.04 (![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))),
% 18.87/19.04 inference(quant_intro,[status(thm)],[554])).
% 18.87/19.04 tff(556,plain,
% 18.87/19.04 (![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))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(557,plain,
% 18.87/19.04 (^[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))))),
% 18.87/19.04 inference(bind,[status(th)],[])).
% 18.87/19.04 tff(558,plain,
% 18.87/19.04 (![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))),
% 18.87/19.04 inference(quant_intro,[status(thm)],[557])).
% 18.87/19.04 tff(559,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_46')).
% 18.87/19.04 tff(560,plain,
% 18.87/19.04 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[559, 558])).
% 18.87/19.04 tff(561,plain,
% 18.87/19.04 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[560, 556])).
% 18.87/19.04 tff(562,plain,(
% 18.87/19.04 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 18.87/19.04 inference(skolemize,[status(sab)],[561])).
% 18.87/19.04 tff(563,plain,
% 18.87/19.04 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[562, 555])).
% 18.87/19.04 tff(564,plain,
% 18.87/19.04 (((~![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(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)))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(565,plain,
% 18.87/19.04 (((~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)))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(566,plain,
% 18.87/19.04 (((~![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))))),
% 18.87/19.04 inference(monotonicity,[status(thm)],[565])).
% 18.87/19.04 tff(567,plain,
% 18.87/19.04 (((~![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)))),
% 18.87/19.04 inference(transitivity,[status(thm)],[566, 564])).
% 18.87/19.04 tff(568,plain,
% 18.87/19.04 ((~![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))),
% 18.87/19.04 inference(quant_inst,[status(thm)],[])).
% 18.87/19.04 tff(569,plain,
% 18.87/19.04 ((~![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(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[568, 567])).
% 18.87/19.04 tff(570,plain,
% 18.87/19.04 (m_main_v_state2(s2, c_t2)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[569, 563, 151, 406])).
% 18.87/19.04 tff(571,plain,
% 18.87/19.04 (((~![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(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)))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(572,plain,
% 18.87/19.04 (((~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)))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(573,plain,
% 18.87/19.04 (((~![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))))),
% 18.87/19.04 inference(monotonicity,[status(thm)],[572])).
% 18.87/19.04 tff(574,plain,
% 18.87/19.04 (((~![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)))),
% 18.87/19.04 inference(transitivity,[status(thm)],[573, 571])).
% 18.87/19.04 tff(575,plain,
% 18.87/19.04 ((~![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))),
% 18.87/19.04 inference(quant_inst,[status(thm)],[])).
% 18.87/19.04 tff(576,plain,
% 18.87/19.04 ((~![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(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[575, 574])).
% 18.87/19.04 tff(577,plain,
% 18.87/19.04 (m_main_v_state2(s3, c_t2)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[576, 563, 570, 553])).
% 18.87/19.04 tff(578,plain,
% 18.87/19.04 (succ(s3, s4) <=> succ(s3, s4)),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(579,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 18.87/19.04 tff(580,plain,
% 18.87/19.04 (succ(s3, s4)),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[579, 578])).
% 18.87/19.04 tff(581,plain,
% 18.87/19.04 (((~![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))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(582,plain,
% 18.87/19.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 18.87/19.04 inference(quant_inst,[status(thm)],[])).
% 18.87/19.04 tff(583,plain,
% 18.87/19.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[582, 581])).
% 18.87/19.04 tff(584,plain,
% 18.87/19.04 (trans(s3, s4)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[583, 580, 57])).
% 18.87/19.04 tff(585,plain,
% 18.87/19.04 (((~![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))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(586,plain,
% 18.87/19.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 18.87/19.04 inference(quant_inst,[status(thm)],[])).
% 18.87/19.04 tff(587,plain,
% 18.87/19.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 18.87/19.04 inference(modus_ponens,[status(thm)],[586, 585])).
% 18.87/19.04 tff(588,plain,
% 18.87/19.04 (node7(s3, s4)),
% 18.87/19.04 inference(unit_resolution,[status(thm)],[587, 217, 584])).
% 18.87/19.04 tff(589,plain,
% 18.87/19.04 (^[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)))),
% 18.87/19.04 inference(bind,[status(th)],[])).
% 18.87/19.04 tff(590,plain,
% 18.87/19.04 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.04 inference(quant_intro,[status(thm)],[589])).
% 18.87/19.04 tff(591,plain,
% 18.87/19.04 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.04 inference(rewrite,[status(thm)],[])).
% 18.87/19.04 tff(592,plain,
% 18.87/19.04 (^[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))))),
% 18.87/19.04 inference(bind,[status(th)],[])).
% 18.87/19.04 tff(593,plain,
% 18.87/19.04 (![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))),
% 18.87/19.04 inference(quant_intro,[status(thm)],[592])).
% 18.87/19.04 tff(594,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_27')).
% 18.87/19.05 tff(595,plain,
% 18.87/19.05 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[594, 593])).
% 18.87/19.05 tff(596,plain,
% 18.87/19.05 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[595, 591])).
% 18.87/19.05 tff(597,plain,(
% 18.87/19.05 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.05 inference(skolemize,[status(sab)],[596])).
% 18.87/19.05 tff(598,plain,
% 18.87/19.05 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[597, 590])).
% 18.87/19.05 tff(599,plain,
% 18.87/19.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(600,plain,
% 18.87/19.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(601,plain,
% 18.87/19.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[600, 599])).
% 18.87/19.05 tff(602,plain,
% 18.87/19.05 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[601, 598, 588])).
% 18.87/19.05 tff(603,plain,
% 18.87/19.05 (m_main_v_state1(s4, c_t1)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[602, 577, 486])).
% 18.87/19.05 tff(604,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(605,plain,
% 18.87/19.05 ((~![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)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(606,plain,
% 18.87/19.05 ((~![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[605, 604])).
% 18.87/19.05 tff(607,plain,
% 18.87/19.05 (~m_main_v_state1(s4, c_n1)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[606, 35, 603])).
% 18.87/19.05 tff(608,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(609,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(610,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[609, 608])).
% 18.87/19.05 tff(611,plain,
% 18.87/19.05 (~node1(s4)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[610, 249, 607])).
% 18.87/19.05 tff(612,plain,
% 18.87/19.05 (((~![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))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(613,plain,
% 18.87/19.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(614,plain,
% 18.87/19.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[613, 612])).
% 18.87/19.05 tff(615,plain,
% 18.87/19.05 (node18(s3, s4)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[614, 71, 584])).
% 18.87/19.05 tff(616,plain,
% 18.87/19.05 (^[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)))),
% 18.87/19.05 inference(bind,[status(th)],[])).
% 18.87/19.05 tff(617,plain,
% 18.87/19.05 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 18.87/19.05 inference(quant_intro,[status(thm)],[616])).
% 18.87/19.05 tff(618,plain,
% 18.87/19.05 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(619,plain,
% 18.87/19.05 (^[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))))),
% 18.87/19.05 inference(bind,[status(th)],[])).
% 18.87/19.05 tff(620,plain,
% 18.87/19.05 (![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))),
% 18.87/19.05 inference(quant_intro,[status(thm)],[619])).
% 18.87/19.05 tff(621,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_62')).
% 18.87/19.05 tff(622,plain,
% 18.87/19.05 (![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[621, 620])).
% 18.87/19.05 tff(623,plain,
% 18.87/19.05 (![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[622, 618])).
% 18.87/19.05 tff(624,plain,(
% 18.87/19.05 ![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))),
% 18.87/19.05 inference(skolemize,[status(sab)],[623])).
% 18.87/19.05 tff(625,plain,
% 18.87/19.05 (![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[624, 617])).
% 18.87/19.05 tff(626,plain,
% 18.87/19.05 (((~![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(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))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(627,plain,
% 18.87/19.05 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(628,plain,
% 18.87/19.05 ((~![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(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[627, 626])).
% 18.87/19.05 tff(629,plain,
% 18.87/19.05 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[628, 625, 615])).
% 18.87/19.05 tff(630,plain,
% 18.87/19.05 (m_main_v_turn(s4, c_2)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[629, 577, 486])).
% 18.87/19.05 tff(631,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(632,plain,
% 18.87/19.05 ((~![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)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(633,plain,
% 18.87/19.05 ((~![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[632, 631])).
% 18.87/19.05 tff(634,plain,
% 18.87/19.05 (~m_main_v_turn(s4, c_1)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[633, 322, 630])).
% 18.87/19.05 tff(635,plain,
% 18.87/19.05 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 18.87/19.05 inference(bind,[status(th)],[])).
% 18.87/19.05 tff(636,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 18.87/19.05 inference(quant_intro,[status(thm)],[635])).
% 18.87/19.05 tff(637,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(638,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_24')).
% 18.87/19.05 tff(639,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[638, 637])).
% 18.87/19.05 tff(640,plain,(
% 18.87/19.05 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 18.87/19.05 inference(skolemize,[status(sab)],[639])).
% 18.87/19.05 tff(641,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[640, 636])).
% 18.87/19.05 tff(642,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(643,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(644,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[643, 642])).
% 18.87/19.05 tff(645,plain,
% 18.87/19.05 (~node5(s4)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[644, 641, 634])).
% 18.87/19.05 tff(646,plain,
% 18.87/19.05 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 18.87/19.05 inference(bind,[status(th)],[])).
% 18.87/19.05 tff(647,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 18.87/19.05 inference(quant_intro,[status(thm)],[646])).
% 18.87/19.05 tff(648,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(649,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_16')).
% 18.87/19.05 tff(650,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[649, 648])).
% 18.87/19.05 tff(651,plain,(
% 18.87/19.05 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 18.87/19.05 inference(skolemize,[status(sab)],[650])).
% 18.87/19.05 tff(652,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[651, 647])).
% 18.87/19.05 tff(653,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(654,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(655,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[654, 653])).
% 18.87/19.05 tff(656,plain,
% 18.87/19.05 (~node2(s4)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[655, 652, 607])).
% 18.87/19.05 tff(657,plain,
% 18.87/19.05 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 18.87/19.05 inference(bind,[status(th)],[])).
% 18.87/19.05 tff(658,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 18.87/19.05 inference(quant_intro,[status(thm)],[657])).
% 18.87/19.05 tff(659,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(660,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_18')).
% 18.87/19.05 tff(661,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[660, 659])).
% 18.87/19.05 tff(662,plain,(
% 18.87/19.05 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 18.87/19.05 inference(skolemize,[status(sab)],[661])).
% 18.87/19.05 tff(663,plain,
% 18.87/19.05 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[662, 658])).
% 18.87/19.05 tff(664,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(665,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(666,plain,
% 18.87/19.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[665, 664])).
% 18.87/19.05 tff(667,plain,
% 18.87/19.05 (~node3(s4)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[666, 663, 607])).
% 18.87/19.05 tff(668,plain,
% 18.87/19.05 (((~![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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(669,plain,
% 18.87/19.05 ((~![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)))),
% 18.87/19.05 inference(quant_inst,[status(thm)],[])).
% 18.87/19.05 tff(670,plain,
% 18.87/19.05 ((~![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))),
% 18.87/19.05 inference(modus_ponens,[status(thm)],[669, 668])).
% 18.87/19.05 tff(671,plain,
% 18.87/19.05 (~m_main_v_state1(s4, c_c1)),
% 18.87/19.05 inference(unit_resolution,[status(thm)],[670, 289, 603])).
% 18.87/19.05 tff(672,plain,
% 18.87/19.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 18.87/19.05 inference(rewrite,[status(thm)],[])).
% 18.87/19.05 tff(673,plain,
% 18.87/19.06 (((~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)))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(674,plain,
% 18.87/19.06 (((~![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))))),
% 18.87/19.06 inference(monotonicity,[status(thm)],[673])).
% 18.87/19.06 tff(675,plain,
% 18.87/19.06 (((~![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)))),
% 18.87/19.06 inference(transitivity,[status(thm)],[674, 672])).
% 18.87/19.06 tff(676,plain,
% 18.87/19.06 ((~![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)))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(677,plain,
% 18.87/19.06 ((~![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(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[676, 675])).
% 18.87/19.06 tff(678,plain,
% 18.87/19.06 (~m_main_v_state2(s3, c_n2)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[677, 416, 423, 553])).
% 18.87/19.06 tff(679,plain,
% 18.87/19.06 (((~![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)))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(680,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(681,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[680, 679])).
% 18.87/19.06 tff(682,plain,
% 18.87/19.06 (~node9(s3)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[681, 311, 678])).
% 18.87/19.06 tff(683,plain,
% 18.87/19.06 (((~![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)))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(684,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(685,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[684, 683])).
% 18.87/19.06 tff(686,plain,
% 18.87/19.06 (~node10(s3)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[685, 372, 678])).
% 18.87/19.06 tff(687,plain,
% 18.87/19.06 (((~![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)))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(688,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(689,plain,
% 18.87/19.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[688, 687])).
% 18.87/19.06 tff(690,plain,
% 18.87/19.06 (~node8(s3)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[689, 383, 678])).
% 18.87/19.06 tff(691,plain,
% 18.87/19.06 (((~![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))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(692,plain,
% 18.87/19.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(693,plain,
% 18.87/19.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[692, 691])).
% 18.87/19.06 tff(694,plain,
% 18.87/19.06 (node14(s3, s4)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[693, 130, 584])).
% 18.87/19.06 tff(695,plain,
% 18.87/19.06 (^[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)))),
% 18.87/19.06 inference(bind,[status(th)],[])).
% 18.87/19.06 tff(696,plain,
% 18.87/19.06 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(quant_intro,[status(thm)],[695])).
% 18.87/19.06 tff(697,plain,
% 18.87/19.06 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(698,plain,
% 18.87/19.06 (^[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))))),
% 18.87/19.06 inference(bind,[status(th)],[])).
% 18.87/19.06 tff(699,plain,
% 18.87/19.06 (![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))),
% 18.87/19.06 inference(quant_intro,[status(thm)],[698])).
% 18.87/19.06 tff(700,axiom,(![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_51')).
% 18.87/19.06 tff(701,plain,
% 18.87/19.06 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[700, 699])).
% 18.87/19.06 tff(702,plain,
% 18.87/19.06 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[701, 697])).
% 18.87/19.06 tff(703,plain,(
% 18.87/19.06 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(skolemize,[status(sab)],[702])).
% 18.87/19.06 tff(704,plain,
% 18.87/19.06 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[703, 696])).
% 18.87/19.06 tff(705,plain,
% 18.87/19.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 18.87/19.06 inference(rewrite,[status(thm)],[])).
% 18.87/19.06 tff(706,plain,
% 18.87/19.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 18.87/19.06 inference(quant_inst,[status(thm)],[])).
% 18.87/19.06 tff(707,plain,
% 18.87/19.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 18.87/19.06 inference(modus_ponens,[status(thm)],[706, 705])).
% 18.87/19.06 tff(708,plain,
% 18.87/19.06 ((~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)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[707, 704, 694])).
% 18.87/19.06 tff(709,plain,
% 18.87/19.06 (m_main_v_state2(s4, c_c2)),
% 18.87/19.06 inference(unit_resolution,[status(thm)],[708, 690, 486, 577, 686, 682])).
% 18.87/19.06 tff(710,plain,
% 18.87/19.06 (^[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))))),
% 18.87/19.06 inference(bind,[status(th)],[])).
% 18.87/19.06 tff(711,plain,
% 18.87/19.06 (![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)))),
% 18.87/19.07 inference(quant_intro,[status(thm)],[710])).
% 18.87/19.07 tff(712,plain,
% 18.87/19.07 (![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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(713,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 18.87/19.07 tff(714,plain,
% 18.87/19.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[713, 712])).
% 18.87/19.07 tff(715,plain,(
% 18.87/19.07 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 18.87/19.07 inference(skolemize,[status(sab)],[714])).
% 18.87/19.07 tff(716,plain,
% 18.87/19.07 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[715, 711])).
% 18.87/19.07 tff(717,plain,
% 18.87/19.07 (((~![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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(718,plain,
% 18.87/19.07 ((~![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)))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(719,plain,
% 18.87/19.07 ((~![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))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[718, 717])).
% 18.87/19.07 tff(720,plain,
% 18.87/19.07 (~m_main_v_state2(s4, c_n2)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[719, 716, 709])).
% 18.87/19.07 tff(721,plain,
% 18.87/19.07 (((~![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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(722,plain,
% 18.87/19.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(723,plain,
% 18.87/19.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[722, 721])).
% 18.87/19.07 tff(724,plain,
% 18.87/19.07 (~node4(s4)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[723, 162, 720])).
% 18.87/19.07 tff(725,plain,
% 18.87/19.07 (succ(s4, s5) <=> succ(s4, s5)),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(726,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 18.87/19.07 tff(727,plain,
% 18.87/19.07 (succ(s4, s5)),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[726, 725])).
% 18.87/19.07 tff(728,plain,
% 18.87/19.07 (((~![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))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(729,plain,
% 18.87/19.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(730,plain,
% 18.87/19.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[729, 728])).
% 18.87/19.07 tff(731,plain,
% 18.87/19.07 (trans(s4, s5)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[730, 727, 57])).
% 18.87/19.07 tff(732,plain,
% 18.87/19.07 (((~![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))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(733,plain,
% 18.87/19.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(734,plain,
% 18.87/19.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[733, 732])).
% 18.87/19.07 tff(735,plain,
% 18.87/19.07 (node7(s4, s5)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[734, 217, 731])).
% 18.87/19.07 tff(736,plain,
% 18.87/19.07 (^[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))))),
% 18.87/19.07 inference(bind,[status(th)],[])).
% 18.87/19.07 tff(737,plain,
% 18.87/19.07 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 18.87/19.07 inference(quant_intro,[status(thm)],[736])).
% 18.87/19.07 tff(738,plain,
% 18.87/19.07 (![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))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(739,plain,
% 18.87/19.07 (^[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)))))),
% 18.87/19.07 inference(bind,[status(th)],[])).
% 18.87/19.07 tff(740,plain,
% 18.87/19.07 (![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)))),
% 18.87/19.07 inference(quant_intro,[status(thm)],[739])).
% 18.87/19.07 tff(741,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_33')).
% 18.87/19.07 tff(742,plain,
% 18.87/19.07 (![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)))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[741, 740])).
% 18.87/19.07 tff(743,plain,
% 18.87/19.07 (![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)))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[742, 738])).
% 18.87/19.07 tff(744,plain,(
% 18.87/19.07 ![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)))),
% 18.87/19.07 inference(skolemize,[status(sab)],[743])).
% 18.87/19.07 tff(745,plain,
% 18.87/19.07 (![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)))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[744, 737])).
% 18.87/19.07 tff(746,plain,
% 18.87/19.07 (((~![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(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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(747,plain,
% 18.87/19.07 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(748,plain,
% 18.87/19.07 ((~![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(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[747, 746])).
% 18.87/19.07 tff(749,plain,
% 18.87/19.07 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[748, 745, 735])).
% 18.87/19.07 tff(750,plain,
% 18.87/19.07 (node6(s4, s5)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[749, 724, 671, 667, 656, 645, 611])).
% 18.87/19.07 tff(751,plain,
% 18.87/19.07 (^[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)))),
% 18.87/19.07 inference(bind,[status(th)],[])).
% 18.87/19.07 tff(752,plain,
% 18.87/19.07 (![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))),
% 18.87/19.07 inference(quant_intro,[status(thm)],[751])).
% 18.87/19.07 tff(753,plain,
% 18.87/19.07 (![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))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(754,plain,
% 18.87/19.07 (^[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))))),
% 18.87/19.07 inference(bind,[status(th)],[])).
% 18.87/19.07 tff(755,plain,
% 18.87/19.07 (![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))),
% 18.87/19.07 inference(quant_intro,[status(thm)],[754])).
% 18.87/19.07 tff(756,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_25')).
% 18.87/19.07 tff(757,plain,
% 18.87/19.07 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[756, 755])).
% 18.87/19.07 tff(758,plain,
% 18.87/19.07 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[757, 753])).
% 18.87/19.07 tff(759,plain,(
% 18.87/19.07 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 18.87/19.07 inference(skolemize,[status(sab)],[758])).
% 18.87/19.07 tff(760,plain,
% 18.87/19.07 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[759, 752])).
% 18.87/19.07 tff(761,plain,
% 18.87/19.07 (((~![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(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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(762,plain,
% 18.87/19.07 (((~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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(763,plain,
% 18.87/19.07 (((~![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))))),
% 18.87/19.07 inference(monotonicity,[status(thm)],[762])).
% 18.87/19.07 tff(764,plain,
% 18.87/19.07 (((~![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)))),
% 18.87/19.07 inference(transitivity,[status(thm)],[763, 761])).
% 18.87/19.07 tff(765,plain,
% 18.87/19.07 ((~![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))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(766,plain,
% 18.87/19.07 ((~![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(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[765, 764])).
% 18.87/19.07 tff(767,plain,
% 18.87/19.07 (m_main_v_state1(s5, c_t1)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[766, 760, 603, 750])).
% 18.87/19.07 tff(768,plain,
% 18.87/19.07 (((~![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)))),
% 18.87/19.07 inference(rewrite,[status(thm)],[])).
% 18.87/19.07 tff(769,plain,
% 18.87/19.07 ((~![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)))),
% 18.87/19.07 inference(quant_inst,[status(thm)],[])).
% 18.87/19.07 tff(770,plain,
% 18.87/19.07 ((~![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))),
% 18.87/19.07 inference(modus_ponens,[status(thm)],[769, 768])).
% 18.87/19.07 tff(771,plain,
% 18.87/19.07 (~m_main_v_state2(s4, c_t2)),
% 18.87/19.07 inference(unit_resolution,[status(thm)],[770, 173, 709])).
% 18.87/19.08 tff(772,plain,
% 18.87/19.08 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 18.87/19.08 inference(bind,[status(th)],[])).
% 18.87/19.08 tff(773,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 18.87/19.08 inference(quant_intro,[status(thm)],[772])).
% 18.87/19.08 tff(774,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(775,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_43')).
% 18.87/19.08 tff(776,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[775, 774])).
% 18.87/19.08 tff(777,plain,(
% 18.87/19.08 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 18.87/19.08 inference(skolemize,[status(sab)],[776])).
% 18.87/19.08 tff(778,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[777, 773])).
% 18.87/19.08 tff(779,plain,
% 18.87/19.08 (((~![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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(780,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(781,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[780, 779])).
% 18.87/19.08 tff(782,plain,
% 18.87/19.08 (~node12(s4)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[781, 778, 771])).
% 18.87/19.08 tff(783,plain,
% 18.87/19.08 (((~![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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(784,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(785,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[784, 783])).
% 18.87/19.08 tff(786,plain,
% 18.87/19.08 (~node11(s4)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[785, 361, 607])).
% 18.87/19.08 tff(787,plain,
% 18.87/19.08 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 18.87/19.08 inference(bind,[status(th)],[])).
% 18.87/19.08 tff(788,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 18.87/19.08 inference(quant_intro,[status(thm)],[787])).
% 18.87/19.08 tff(789,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(790,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_40')).
% 18.87/19.08 tff(791,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[790, 789])).
% 18.87/19.08 tff(792,plain,(
% 18.87/19.08 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 18.87/19.08 inference(skolemize,[status(sab)],[791])).
% 18.87/19.08 tff(793,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[792, 788])).
% 18.87/19.08 tff(794,plain,
% 18.87/19.08 (((~![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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(795,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(796,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[795, 794])).
% 18.87/19.08 tff(797,plain,
% 18.87/19.08 (~node10(s4)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[796, 793, 671])).
% 18.87/19.08 tff(798,plain,
% 18.87/19.08 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 18.87/19.08 inference(bind,[status(th)],[])).
% 18.87/19.08 tff(799,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 18.87/19.08 inference(quant_intro,[status(thm)],[798])).
% 18.87/19.08 tff(800,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(801,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_38')).
% 18.87/19.08 tff(802,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[801, 800])).
% 18.87/19.08 tff(803,plain,(
% 18.87/19.08 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 18.87/19.08 inference(skolemize,[status(sab)],[802])).
% 18.87/19.08 tff(804,plain,
% 18.87/19.08 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[803, 799])).
% 18.87/19.08 tff(805,plain,
% 18.87/19.08 (((~![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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(806,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(807,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[806, 805])).
% 18.87/19.08 tff(808,plain,
% 18.87/19.08 (~node9(s4)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[807, 804, 607])).
% 18.87/19.08 tff(809,plain,
% 18.87/19.08 (((~![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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(810,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(811,plain,
% 18.87/19.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[810, 809])).
% 18.87/19.08 tff(812,plain,
% 18.87/19.08 (~node8(s4)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[811, 383, 720])).
% 18.87/19.08 tff(813,plain,
% 18.87/19.08 (((~![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))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(814,plain,
% 18.87/19.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(815,plain,
% 18.87/19.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[814, 813])).
% 18.87/19.08 tff(816,plain,
% 18.87/19.08 (node14(s4, s5)),
% 18.87/19.08 inference(unit_resolution,[status(thm)],[815, 130, 731])).
% 18.87/19.08 tff(817,plain,
% 18.87/19.08 (^[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)))),
% 18.87/19.08 inference(bind,[status(th)],[])).
% 18.87/19.08 tff(818,plain,
% 18.87/19.08 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(quant_intro,[status(thm)],[817])).
% 18.87/19.08 tff(819,plain,
% 18.87/19.08 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(820,plain,
% 18.87/19.08 (^[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))))),
% 18.87/19.08 inference(bind,[status(th)],[])).
% 18.87/19.08 tff(821,plain,
% 18.87/19.08 (![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))),
% 18.87/19.08 inference(quant_intro,[status(thm)],[820])).
% 18.87/19.08 tff(822,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_53')).
% 18.87/19.08 tff(823,plain,
% 18.87/19.08 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[822, 821])).
% 18.87/19.08 tff(824,plain,
% 18.87/19.08 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[823, 819])).
% 18.87/19.08 tff(825,plain,(
% 18.87/19.08 ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(skolemize,[status(sab)],[824])).
% 18.87/19.08 tff(826,plain,
% 18.87/19.08 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[825, 818])).
% 18.87/19.08 tff(827,plain,
% 18.87/19.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(828,plain,
% 18.87/19.08 (((~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)))),
% 18.87/19.08 inference(rewrite,[status(thm)],[])).
% 18.87/19.08 tff(829,plain,
% 18.87/19.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 18.87/19.08 inference(monotonicity,[status(thm)],[828])).
% 18.87/19.08 tff(830,plain,
% 18.87/19.08 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 18.87/19.08 inference(transitivity,[status(thm)],[829, 827])).
% 18.87/19.08 tff(831,plain,
% 18.87/19.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 18.87/19.08 inference(quant_inst,[status(thm)],[])).
% 18.87/19.08 tff(832,plain,
% 18.87/19.08 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 18.87/19.08 inference(modus_ponens,[status(thm)],[831, 830])).
% 18.87/19.08 tff(833,plain,
% 18.87/19.08 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[832, 826, 816])).
% 18.87/19.09 tff(834,plain,
% 18.87/19.09 (m_main_v_state2(s5, c_n2)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[833, 812, 709, 808, 797, 786, 782])).
% 18.87/19.09 tff(835,plain,
% 18.87/19.09 (((~![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)))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(836,plain,
% 18.87/19.09 ((~![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)))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(837,plain,
% 18.87/19.09 ((~![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))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[836, 835])).
% 18.87/19.09 tff(838,plain,
% 18.87/19.09 (~m_main_v_state2(s5, c_t2)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[837, 10, 834])).
% 18.87/19.09 tff(839,plain,
% 18.87/19.09 (((~![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)))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(840,plain,
% 18.87/19.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(841,plain,
% 18.87/19.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[840, 839])).
% 18.87/19.09 tff(842,plain,
% 18.87/19.09 (~node15(s5)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[841, 21, 838])).
% 18.87/19.09 tff(843,plain,
% 18.87/19.09 (succ(s5, s6) <=> succ(s5, s6)),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(844,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 18.87/19.09 tff(845,plain,
% 18.87/19.09 (succ(s5, s6)),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[844, 843])).
% 18.87/19.09 tff(846,plain,
% 18.87/19.09 (((~![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))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(847,plain,
% 18.87/19.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(848,plain,
% 18.87/19.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[847, 846])).
% 18.87/19.09 tff(849,plain,
% 18.87/19.09 (trans(s5, s6)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[848, 845, 57])).
% 18.87/19.09 tff(850,plain,
% 18.87/19.09 (((~![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))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(851,plain,
% 18.87/19.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(852,plain,
% 18.87/19.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[851, 850])).
% 18.87/19.09 tff(853,plain,
% 18.87/19.09 (node18(s5, s6)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[852, 71, 849])).
% 18.87/19.09 tff(854,plain,
% 18.87/19.09 (^[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)))),
% 18.87/19.09 inference(bind,[status(th)],[])).
% 18.87/19.09 tff(855,plain,
% 18.87/19.09 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 18.87/19.09 inference(quant_intro,[status(thm)],[854])).
% 18.87/19.09 tff(856,plain,
% 18.87/19.09 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(857,plain,
% 18.87/19.09 (^[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))))),
% 18.87/19.09 inference(bind,[status(th)],[])).
% 18.87/19.09 tff(858,plain,
% 18.87/19.09 (![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))),
% 18.87/19.09 inference(quant_intro,[status(thm)],[857])).
% 18.87/19.09 tff(859,axiom,(![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_63')).
% 18.87/19.09 tff(860,plain,
% 18.87/19.09 (![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))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[859, 858])).
% 18.87/19.09 tff(861,plain,
% 18.87/19.09 (![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))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[860, 856])).
% 18.87/19.09 tff(862,plain,(
% 18.87/19.09 ![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))),
% 18.87/19.09 inference(skolemize,[status(sab)],[861])).
% 18.87/19.09 tff(863,plain,
% 18.87/19.09 (![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))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[862, 855])).
% 18.87/19.09 tff(864,plain,
% 18.87/19.09 (((~![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(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))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(865,plain,
% 18.87/19.09 (((~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))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(866,plain,
% 18.87/19.09 (((~![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(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)))),
% 18.87/19.09 inference(monotonicity,[status(thm)],[865])).
% 18.87/19.09 tff(867,plain,
% 18.87/19.09 (((~![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(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))),
% 18.87/19.09 inference(transitivity,[status(thm)],[866, 864])).
% 18.87/19.09 tff(868,plain,
% 18.87/19.09 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(869,plain,
% 18.87/19.09 ((~![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(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)),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[868, 867])).
% 18.87/19.09 tff(870,plain,
% 18.87/19.09 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[869, 863, 853])).
% 18.87/19.09 tff(871,plain,
% 18.87/19.09 (m_main_v_turn(s6, c_1)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[870, 842, 834, 767])).
% 18.87/19.09 tff(872,plain,
% 18.87/19.09 (((~![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)))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(873,plain,
% 18.87/19.09 ((~![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)))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(874,plain,
% 18.87/19.09 ((~![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))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[873, 872])).
% 18.87/19.09 tff(875,plain,
% 18.87/19.09 (~m_main_v_turn(s6, c_2)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[874, 322, 871])).
% 18.87/19.09 tff(876,plain,
% 18.87/19.09 (((~![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)))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(877,plain,
% 18.87/19.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 18.87/19.09 inference(quant_inst,[status(thm)],[])).
% 18.87/19.09 tff(878,plain,
% 18.87/19.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 18.87/19.09 inference(modus_ponens,[status(thm)],[877, 876])).
% 18.87/19.09 tff(879,plain,
% 18.87/19.09 (~node12(s6)),
% 18.87/19.09 inference(unit_resolution,[status(thm)],[878, 350, 875])).
% 18.87/19.09 tff(880,plain,
% 18.87/19.09 (((~![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))),
% 18.87/19.09 inference(rewrite,[status(thm)],[])).
% 18.87/19.09 tff(881,plain,
% 18.87/19.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(882,plain,
% 18.87/19.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[881, 880])).
% 18.87/19.10 tff(883,plain,
% 18.87/19.10 (node14(s5, s6)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[882, 130, 849])).
% 18.87/19.10 tff(884,plain,
% 18.87/19.10 (^[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)))),
% 18.87/19.10 inference(bind,[status(th)],[])).
% 18.87/19.10 tff(885,plain,
% 18.87/19.10 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 18.87/19.10 inference(quant_intro,[status(thm)],[884])).
% 18.87/19.10 tff(886,plain,
% 18.87/19.10 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(887,plain,
% 18.87/19.10 (^[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))))),
% 18.87/19.10 inference(bind,[status(th)],[])).
% 18.87/19.10 tff(888,plain,
% 18.87/19.10 (![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))),
% 18.87/19.10 inference(quant_intro,[status(thm)],[887])).
% 18.87/19.10 tff(889,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_48')).
% 18.87/19.10 tff(890,plain,
% 18.87/19.10 (![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[889, 888])).
% 18.87/19.10 tff(891,plain,
% 18.87/19.10 (![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[890, 886])).
% 18.87/19.10 tff(892,plain,(
% 18.87/19.10 ![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))),
% 18.87/19.10 inference(skolemize,[status(sab)],[891])).
% 18.87/19.10 tff(893,plain,
% 18.87/19.10 (![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[892, 885])).
% 18.87/19.10 tff(894,plain,
% 18.87/19.10 (((~![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(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))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(895,plain,
% 18.87/19.10 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(896,plain,
% 18.87/19.10 ((~![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(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[895, 894])).
% 18.87/19.10 tff(897,plain,
% 18.87/19.10 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[896, 893, 883])).
% 18.87/19.10 tff(898,plain,
% 18.87/19.10 (m_main_v_state2(s6, c_t2)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[897, 767, 834])).
% 18.87/19.10 tff(899,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(900,plain,
% 18.87/19.10 ((~![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)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(901,plain,
% 18.87/19.10 ((~![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[900, 899])).
% 18.87/19.10 tff(902,plain,
% 18.87/19.10 (~m_main_v_state2(s6, c_n2)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[901, 10, 898])).
% 18.87/19.10 tff(903,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(904,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(905,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[904, 903])).
% 18.87/19.10 tff(906,plain,
% 18.87/19.10 (~node8(s6)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[905, 383, 902])).
% 18.87/19.10 tff(907,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(908,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(909,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[908, 907])).
% 18.87/19.10 tff(910,plain,
% 18.87/19.10 (~node9(s6)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[909, 311, 902])).
% 18.87/19.10 tff(911,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(912,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(913,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[912, 911])).
% 18.87/19.10 tff(914,plain,
% 18.87/19.10 (~node10(s6)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[913, 372, 902])).
% 18.87/19.10 tff(915,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(916,plain,
% 18.87/19.10 ((~![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)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(917,plain,
% 18.87/19.10 ((~![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[916, 915])).
% 18.87/19.10 tff(918,plain,
% 18.87/19.10 (~m_main_v_state2(s6, c_c2)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[917, 173, 898])).
% 18.87/19.10 tff(919,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(920,plain,
% 18.87/19.10 ((~![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)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(921,plain,
% 18.87/19.10 ((~![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))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[920, 919])).
% 18.87/19.10 tff(922,plain,
% 18.87/19.10 (~m_main_v_state2(s5, c_c2)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[921, 716, 834])).
% 18.87/19.10 tff(923,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(924,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 18.87/19.10 inference(quant_inst,[status(thm)],[])).
% 18.87/19.10 tff(925,plain,
% 18.87/19.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[924, 923])).
% 18.87/19.10 tff(926,plain,
% 18.87/19.10 (~node3(s5)),
% 18.87/19.10 inference(unit_resolution,[status(thm)],[925, 184, 922])).
% 18.87/19.10 tff(927,plain,
% 18.87/19.10 (^[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))))),
% 18.87/19.10 inference(bind,[status(th)],[])).
% 18.87/19.10 tff(928,plain,
% 18.87/19.10 (![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)))),
% 18.87/19.10 inference(quant_intro,[status(thm)],[927])).
% 18.87/19.10 tff(929,plain,
% 18.87/19.10 (![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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(930,plain,
% 18.87/19.10 (^[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))))),
% 18.87/19.10 inference(bind,[status(th)],[])).
% 18.87/19.10 tff(931,plain,
% 18.87/19.10 (![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)))),
% 18.87/19.10 inference(quant_intro,[status(thm)],[930])).
% 18.87/19.10 tff(932,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_26')).
% 18.87/19.10 tff(933,plain,
% 18.87/19.10 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[932, 931])).
% 18.87/19.10 tff(934,plain,
% 18.87/19.10 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[933, 929])).
% 18.87/19.10 tff(935,plain,(
% 18.87/19.10 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 18.87/19.10 inference(skolemize,[status(sab)],[934])).
% 18.87/19.10 tff(936,plain,
% 18.87/19.10 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 18.87/19.10 inference(modus_ponens,[status(thm)],[935, 928])).
% 18.87/19.10 tff(937,plain,
% 18.87/19.10 (((~![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(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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(938,plain,
% 18.87/19.10 (((~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)))),
% 18.87/19.10 inference(rewrite,[status(thm)],[])).
% 18.87/19.10 tff(939,plain,
% 18.87/19.10 (((~![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))))),
% 18.87/19.10 inference(monotonicity,[status(thm)],[938])).
% 18.87/19.10 tff(940,plain,
% 18.87/19.10 (((~![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)))),
% 18.87/19.11 inference(transitivity,[status(thm)],[939, 937])).
% 18.87/19.11 tff(941,plain,
% 18.87/19.11 ((~![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)))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(942,plain,
% 18.87/19.11 ((~![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(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[941, 940])).
% 18.87/19.11 tff(943,plain,
% 18.87/19.11 (~m_main_v_state1(s5, c_n1)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[942, 936, 607, 750])).
% 18.87/19.11 tff(944,plain,
% 18.87/19.11 (((~![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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(945,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(946,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[945, 944])).
% 18.87/19.11 tff(947,plain,
% 18.87/19.11 (~node2(s5)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[946, 652, 943])).
% 18.87/19.11 tff(948,plain,
% 18.87/19.11 (((~![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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(949,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(950,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[949, 948])).
% 18.87/19.11 tff(951,plain,
% 18.87/19.11 (~node1(s5)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[950, 206, 838])).
% 18.87/19.11 tff(952,plain,
% 18.87/19.11 (((~![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))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(953,plain,
% 18.87/19.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(954,plain,
% 18.87/19.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[953, 952])).
% 18.87/19.11 tff(955,plain,
% 18.87/19.11 (node7(s5, s6)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[954, 217, 849])).
% 18.87/19.11 tff(956,plain,
% 18.87/19.11 (^[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)))),
% 18.87/19.11 inference(bind,[status(th)],[])).
% 18.87/19.11 tff(957,plain,
% 18.87/19.11 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 18.87/19.11 inference(quant_intro,[status(thm)],[956])).
% 18.87/19.11 tff(958,plain,
% 18.87/19.11 (![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)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(959,plain,
% 18.87/19.11 (^[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))))),
% 18.87/19.11 inference(bind,[status(th)],[])).
% 18.87/19.11 tff(960,plain,
% 18.87/19.11 (![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))),
% 18.87/19.11 inference(quant_intro,[status(thm)],[959])).
% 18.87/19.11 tff(961,axiom,(![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_30')).
% 18.87/19.11 tff(962,plain,
% 18.87/19.11 (![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))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[961, 960])).
% 18.87/19.11 tff(963,plain,
% 18.87/19.11 (![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))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[962, 958])).
% 18.87/19.11 tff(964,plain,(
% 18.87/19.11 ![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))),
% 18.87/19.11 inference(skolemize,[status(sab)],[963])).
% 18.87/19.11 tff(965,plain,
% 18.87/19.11 (![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))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[964, 957])).
% 18.87/19.11 tff(966,plain,
% 18.87/19.11 (((~![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(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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(967,plain,
% 18.87/19.11 (((~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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(968,plain,
% 18.87/19.11 (((~![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(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))))),
% 18.87/19.11 inference(monotonicity,[status(thm)],[967])).
% 18.87/19.11 tff(969,plain,
% 18.87/19.11 (((~![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(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)))),
% 18.87/19.11 inference(transitivity,[status(thm)],[968, 966])).
% 18.87/19.11 tff(970,plain,
% 18.87/19.11 ((~![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(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))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(971,plain,
% 18.87/19.11 ((~![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(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))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[970, 969])).
% 18.87/19.11 tff(972,plain,
% 18.87/19.11 ((~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)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[971, 965, 955])).
% 18.87/19.11 tff(973,plain,
% 18.87/19.11 (m_main_v_state1(s6, c_c1)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[972, 951, 834, 767, 947, 926])).
% 18.87/19.11 tff(974,plain,
% 18.87/19.11 (((~![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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(975,plain,
% 18.87/19.11 ((~![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)))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(976,plain,
% 18.87/19.11 ((~![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))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[975, 974])).
% 18.87/19.11 tff(977,plain,
% 18.87/19.11 (~m_main_v_state1(s6, c_n1)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[976, 449, 973])).
% 18.87/19.11 tff(978,plain,
% 18.87/19.11 (((~![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)))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(979,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 18.87/19.11 inference(quant_inst,[status(thm)],[])).
% 18.87/19.11 tff(980,plain,
% 18.87/19.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[979, 978])).
% 18.87/19.11 tff(981,plain,
% 18.87/19.11 (~node11(s6)),
% 18.87/19.11 inference(unit_resolution,[status(thm)],[980, 361, 977])).
% 18.87/19.11 tff(982,plain,
% 18.87/19.11 (succ(s6, s7) <=> succ(s6, s7)),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(983,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 18.87/19.11 tff(984,plain,
% 18.87/19.11 (succ(s6, s7)),
% 18.87/19.11 inference(modus_ponens,[status(thm)],[983, 982])).
% 18.87/19.11 tff(985,plain,
% 18.87/19.11 (((~![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))),
% 18.87/19.11 inference(rewrite,[status(thm)],[])).
% 18.87/19.11 tff(986,plain,
% 18.87/19.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(987,plain,
% 18.87/19.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[986, 985])).
% 18.87/19.12 tff(988,plain,
% 18.87/19.12 (trans(s6, s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[987, 984, 57])).
% 18.87/19.12 tff(989,plain,
% 18.87/19.12 (((~![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))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(990,plain,
% 18.87/19.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(991,plain,
% 18.87/19.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[990, 989])).
% 18.87/19.12 tff(992,plain,
% 18.87/19.12 (node14(s6, s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[991, 130, 988])).
% 18.87/19.12 tff(993,plain,
% 18.87/19.12 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(994,plain,
% 18.87/19.12 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(995,plain,
% 18.87/19.12 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[994, 993])).
% 18.87/19.12 tff(996,plain,
% 18.87/19.12 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[995, 401, 992])).
% 18.87/19.12 tff(997,plain,
% 18.87/19.12 (node13(s6, s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[996, 981, 918, 914, 910, 906, 879])).
% 18.87/19.12 tff(998,plain,
% 18.87/19.12 (((~![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(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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(999,plain,
% 18.87/19.12 (((~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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1000,plain,
% 18.87/19.12 (((~![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))))),
% 18.87/19.12 inference(monotonicity,[status(thm)],[999])).
% 18.87/19.12 tff(1001,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(transitivity,[status(thm)],[1000, 998])).
% 18.87/19.12 tff(1002,plain,
% 18.87/19.12 ((~![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)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1003,plain,
% 18.87/19.12 ((~![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(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 18.87/19.12 tff(1004,plain,
% 18.87/19.12 (~m_main_v_state2(s7, c_n2)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1003, 416, 902, 997])).
% 18.87/19.12 tff(1005,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1006,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1007,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 18.87/19.12 tff(1008,plain,
% 18.87/19.12 (~node9(s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1007, 311, 1004])).
% 18.87/19.12 tff(1009,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1010,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1011,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 18.87/19.12 tff(1012,plain,
% 18.87/19.12 (~node10(s7)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1011, 372, 1004])).
% 18.87/19.12 tff(1013,plain,
% 18.87/19.12 (((~![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(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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1014,plain,
% 18.87/19.12 (((~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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1015,plain,
% 18.87/19.12 (((~![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))))),
% 18.87/19.12 inference(monotonicity,[status(thm)],[1014])).
% 18.87/19.12 tff(1016,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(transitivity,[status(thm)],[1015, 1013])).
% 18.87/19.12 tff(1017,plain,
% 18.87/19.12 ((~![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))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1018,plain,
% 18.87/19.12 ((~![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(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 18.87/19.12 tff(1019,plain,
% 18.87/19.12 (m_main_v_state2(s7, c_t2)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1018, 563, 898, 997])).
% 18.87/19.12 tff(1020,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1021,plain,
% 18.87/19.12 ((~![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)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1022,plain,
% 18.87/19.12 ((~![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))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 18.87/19.12 tff(1023,plain,
% 18.87/19.12 (~m_main_v_state1(s6, c_t1)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1022, 289, 973])).
% 18.87/19.12 tff(1024,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1025,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1026,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 18.87/19.12 tff(1027,plain,
% 18.87/19.12 (~node5(s6)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1026, 300, 1023])).
% 18.87/19.12 tff(1028,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1029,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1030,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 18.87/19.12 tff(1031,plain,
% 18.87/19.12 (~node4(s6)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1030, 162, 902])).
% 18.87/19.12 tff(1032,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1033,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1034,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 18.87/19.12 tff(1035,plain,
% 18.87/19.12 (~node3(s6)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1034, 184, 918])).
% 18.87/19.12 tff(1036,plain,
% 18.87/19.12 (((~![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)))),
% 18.87/19.12 inference(rewrite,[status(thm)],[])).
% 18.87/19.12 tff(1037,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 18.87/19.12 inference(quant_inst,[status(thm)],[])).
% 18.87/19.12 tff(1038,plain,
% 18.87/19.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 18.87/19.12 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 18.87/19.12 tff(1039,plain,
% 18.87/19.12 (~node2(s6)),
% 18.87/19.12 inference(unit_resolution,[status(thm)],[1038, 195, 902])).
% 18.87/19.12 tff(1040,plain,
% 18.87/19.12 (((~![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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1041,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1042,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 18.95/19.13 tff(1043,plain,
% 18.95/19.13 (~node1(s6)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1042, 249, 977])).
% 18.95/19.13 tff(1044,plain,
% 18.95/19.13 (((~![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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1045,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1046,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 18.95/19.13 tff(1047,plain,
% 18.95/19.13 (node7(s6, s7)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1046, 217, 988])).
% 18.95/19.13 tff(1048,plain,
% 18.95/19.13 (((~![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(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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1049,plain,
% 18.95/19.13 (((~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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1050,plain,
% 18.95/19.13 (((~![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(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))))),
% 18.95/19.13 inference(monotonicity,[status(thm)],[1049])).
% 18.95/19.13 tff(1051,plain,
% 18.95/19.13 (((~![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(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)))),
% 18.95/19.13 inference(transitivity,[status(thm)],[1050, 1048])).
% 18.95/19.13 tff(1052,plain,
% 18.95/19.13 ((~![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(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1053,plain,
% 18.95/19.13 ((~![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(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 18.95/19.13 tff(1054,plain,
% 18.95/19.13 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1053, 478, 1047])).
% 18.95/19.13 tff(1055,plain,
% 18.95/19.13 (m_main_v_state1(s7, c_n1)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1054, 1043, 973, 1039, 1035, 1031, 1027])).
% 18.95/19.13 tff(1056,plain,
% 18.95/19.13 (((~![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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1057,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1058,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 18.95/19.13 tff(1059,plain,
% 18.95/19.13 (~node8(s7)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1058, 383, 1004])).
% 18.95/19.13 tff(1060,plain,
% 18.95/19.13 (succ(s7, s8) <=> succ(s7, s8)),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1061,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 18.95/19.13 tff(1062,plain,
% 18.95/19.13 (succ(s7, s8)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 18.95/19.13 tff(1063,plain,
% 18.95/19.13 (((~![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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1064,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1065,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 18.95/19.13 tff(1066,plain,
% 18.95/19.13 (trans(s7, s8)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1065, 1062, 57])).
% 18.95/19.13 tff(1067,plain,
% 18.95/19.13 (((~![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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1068,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1069,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 18.95/19.13 tff(1070,plain,
% 18.95/19.13 (node14(s7, s8)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1069, 130, 1066])).
% 18.95/19.13 tff(1071,plain,
% 18.95/19.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1072,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1073,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 18.95/19.13 tff(1074,plain,
% 18.95/19.13 ((~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)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1073, 704, 1070])).
% 18.95/19.13 tff(1075,plain,
% 18.95/19.13 (m_main_v_state2(s8, c_c2)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1074, 1059, 1055, 1019, 1012, 1008])).
% 18.95/19.13 tff(1076,plain,
% 18.95/19.13 (((~![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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1077,plain,
% 18.95/19.13 ((~![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)))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1078,plain,
% 18.95/19.13 ((~![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))),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 18.95/19.13 tff(1079,plain,
% 18.95/19.13 (~m_main_v_state2(s8, c_t2)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1078, 173, 1075])).
% 18.95/19.13 tff(1080,plain,
% 18.95/19.13 (((~![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)))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1081,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1082,plain,
% 18.95/19.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 18.95/19.13 tff(1083,plain,
% 18.95/19.13 (~node12(s8)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1082, 778, 1079])).
% 18.95/19.13 tff(1084,plain,
% 18.95/19.13 (((~![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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1085,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1086,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 18.95/19.13 tff(1087,plain,
% 18.95/19.13 (node7(s7, s8)),
% 18.95/19.13 inference(unit_resolution,[status(thm)],[1086, 217, 1066])).
% 18.95/19.13 tff(1088,plain,
% 18.95/19.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 18.95/19.13 inference(rewrite,[status(thm)],[])).
% 18.95/19.13 tff(1089,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 18.95/19.13 inference(quant_inst,[status(thm)],[])).
% 18.95/19.13 tff(1090,plain,
% 18.95/19.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 18.95/19.13 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 18.95/19.13 tff(1091,plain,
% 18.95/19.13 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1090, 598, 1087])).
% 18.95/19.14 tff(1092,plain,
% 18.95/19.14 (m_main_v_state1(s8, c_t1)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1091, 1019, 1055])).
% 18.95/19.14 tff(1093,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1094,plain,
% 18.95/19.14 ((~![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)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1095,plain,
% 18.95/19.14 ((~![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))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 18.95/19.14 tff(1096,plain,
% 18.95/19.14 (~m_main_v_state1(s8, c_n1)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1095, 35, 1092])).
% 18.95/19.14 tff(1097,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1098,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1099,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 18.95/19.14 tff(1100,plain,
% 18.95/19.14 (~node11(s8)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1099, 361, 1096])).
% 18.95/19.14 tff(1101,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1102,plain,
% 18.95/19.14 ((~![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)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1103,plain,
% 18.95/19.14 ((~![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))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 18.95/19.14 tff(1104,plain,
% 18.95/19.14 (~m_main_v_state1(s8, c_c1)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1103, 289, 1092])).
% 18.95/19.14 tff(1105,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1106,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1107,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 18.95/19.14 tff(1108,plain,
% 18.95/19.14 (~node10(s8)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1107, 793, 1104])).
% 18.95/19.14 tff(1109,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1110,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1111,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 18.95/19.14 tff(1112,plain,
% 18.95/19.14 (~node9(s8)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1111, 804, 1096])).
% 18.95/19.14 tff(1113,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1114,plain,
% 18.95/19.14 ((~![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)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1115,plain,
% 18.95/19.14 ((~![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))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 18.95/19.14 tff(1116,plain,
% 18.95/19.14 (~m_main_v_state2(s8, c_n2)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1115, 716, 1075])).
% 18.95/19.14 tff(1117,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1118,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1119,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 18.95/19.14 tff(1120,plain,
% 18.95/19.14 (~node8(s8)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1119, 383, 1116])).
% 18.95/19.14 tff(1121,plain,
% 18.95/19.14 (succ(s8, s9) <=> succ(s8, s9)),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1122,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 18.95/19.14 tff(1123,plain,
% 18.95/19.14 (succ(s8, s9)),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 18.95/19.14 tff(1124,plain,
% 18.95/19.14 (((~![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))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1125,plain,
% 18.95/19.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1126,plain,
% 18.95/19.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 18.95/19.14 tff(1127,plain,
% 18.95/19.14 (trans(s8, s9)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1126, 1123, 57])).
% 18.95/19.14 tff(1128,plain,
% 18.95/19.14 (((~![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))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1129,plain,
% 18.95/19.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1130,plain,
% 18.95/19.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 18.95/19.14 tff(1131,plain,
% 18.95/19.14 (node14(s8, s9)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1130, 130, 1127])).
% 18.95/19.14 tff(1132,plain,
% 18.95/19.14 (((~![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(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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1133,plain,
% 18.95/19.14 (((~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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1134,plain,
% 18.95/19.14 (((~![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(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))))),
% 18.95/19.14 inference(monotonicity,[status(thm)],[1133])).
% 18.95/19.14 tff(1135,plain,
% 18.95/19.14 (((~![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(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)))),
% 18.95/19.14 inference(transitivity,[status(thm)],[1134, 1132])).
% 18.95/19.14 tff(1136,plain,
% 18.95/19.14 ((~![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(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1137,plain,
% 18.95/19.14 ((~![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(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 18.95/19.14 tff(1138,plain,
% 18.95/19.14 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1137, 826, 1131])).
% 18.95/19.14 tff(1139,plain,
% 18.95/19.14 (m_main_v_state2(s9, c_n2)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1138, 1120, 1075, 1112, 1108, 1100, 1083])).
% 18.95/19.14 tff(1140,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1141,plain,
% 18.95/19.14 ((~![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)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1142,plain,
% 18.95/19.14 ((~![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))),
% 18.95/19.14 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 18.95/19.14 tff(1143,plain,
% 18.95/19.14 (~m_main_v_state2(s9, c_c2)),
% 18.95/19.14 inference(unit_resolution,[status(thm)],[1142, 716, 1139])).
% 18.95/19.14 tff(1144,plain,
% 18.95/19.14 (((~![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)))),
% 18.95/19.14 inference(rewrite,[status(thm)],[])).
% 18.95/19.14 tff(1145,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 18.95/19.14 inference(quant_inst,[status(thm)],[])).
% 18.95/19.14 tff(1146,plain,
% 18.95/19.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 18.95/19.15 tff(1147,plain,
% 18.95/19.15 (~node3(s9)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1146, 184, 1143])).
% 18.95/19.15 tff(1148,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1149,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1150,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 18.95/19.15 tff(1151,plain,
% 18.95/19.15 (~node1(s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1150, 249, 1096])).
% 18.95/19.15 tff(1152,plain,
% 18.95/19.15 (((~![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))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1153,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1154,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 18.95/19.15 tff(1155,plain,
% 18.95/19.15 (node18(s7, s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1154, 71, 1066])).
% 18.95/19.15 tff(1156,plain,
% 18.95/19.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1157,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1158,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 18.95/19.15 tff(1159,plain,
% 18.95/19.15 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1158, 625, 1155])).
% 18.95/19.15 tff(1160,plain,
% 18.95/19.15 (m_main_v_turn(s8, c_2)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1159, 1019, 1055])).
% 18.95/19.15 tff(1161,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1162,plain,
% 18.95/19.15 ((~![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)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1163,plain,
% 18.95/19.15 ((~![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))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 18.95/19.15 tff(1164,plain,
% 18.95/19.15 (~m_main_v_turn(s8, c_1)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1163, 322, 1160])).
% 18.95/19.15 tff(1165,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1166,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1167,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 18.95/19.15 tff(1168,plain,
% 18.95/19.15 (~node5(s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1167, 641, 1164])).
% 18.95/19.15 tff(1169,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1170,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1171,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 18.95/19.15 tff(1172,plain,
% 18.95/19.15 (~node2(s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1171, 652, 1096])).
% 18.95/19.15 tff(1173,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1174,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1175,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 18.95/19.15 tff(1176,plain,
% 18.95/19.15 (~node3(s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1175, 663, 1096])).
% 18.95/19.15 tff(1177,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1178,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1179,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 18.95/19.15 tff(1180,plain,
% 18.95/19.15 (~node4(s8)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1179, 162, 1116])).
% 18.95/19.15 tff(1181,plain,
% 18.95/19.15 (((~![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))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1182,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1183,plain,
% 18.95/19.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 18.95/19.15 tff(1184,plain,
% 18.95/19.15 (node7(s8, s9)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1183, 217, 1127])).
% 18.95/19.15 tff(1185,plain,
% 18.95/19.15 (((~![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(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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1186,plain,
% 18.95/19.15 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1187,plain,
% 18.95/19.15 ((~![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(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 18.95/19.15 tff(1188,plain,
% 18.95/19.15 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1187, 745, 1184])).
% 18.95/19.15 tff(1189,plain,
% 18.95/19.15 (node6(s8, s9)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1188, 1180, 1104, 1176, 1172, 1168, 1151])).
% 18.95/19.15 tff(1190,plain,
% 18.95/19.15 (((~![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(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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1191,plain,
% 18.95/19.15 (((~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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1192,plain,
% 18.95/19.15 (((~![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))))),
% 18.95/19.15 inference(monotonicity,[status(thm)],[1191])).
% 18.95/19.15 tff(1193,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(transitivity,[status(thm)],[1192, 1190])).
% 18.95/19.15 tff(1194,plain,
% 18.95/19.15 ((~![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)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1195,plain,
% 18.95/19.15 ((~![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(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 18.95/19.15 tff(1196,plain,
% 18.95/19.15 (~m_main_v_state1(s9, c_n1)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1195, 936, 1096, 1189])).
% 18.95/19.15 tff(1197,plain,
% 18.95/19.15 (((~![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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1198,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 18.95/19.15 inference(quant_inst,[status(thm)],[])).
% 18.95/19.15 tff(1199,plain,
% 18.95/19.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 18.95/19.15 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 18.95/19.15 tff(1200,plain,
% 18.95/19.15 (~node2(s9)),
% 18.95/19.15 inference(unit_resolution,[status(thm)],[1199, 652, 1196])).
% 18.95/19.15 tff(1201,plain,
% 18.95/19.15 (((~![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(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)))),
% 18.95/19.15 inference(rewrite,[status(thm)],[])).
% 18.95/19.15 tff(1202,plain,
% 18.95/19.15 (((~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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1203,plain,
% 18.95/19.16 (((~![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))))),
% 18.95/19.16 inference(monotonicity,[status(thm)],[1202])).
% 18.95/19.16 tff(1204,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.16 inference(transitivity,[status(thm)],[1203, 1201])).
% 18.95/19.16 tff(1205,plain,
% 18.95/19.16 ((~![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))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1206,plain,
% 18.95/19.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 18.95/19.16 tff(1207,plain,
% 18.95/19.16 (m_main_v_state1(s9, c_t1)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1206, 760, 1092, 1189])).
% 18.95/19.16 tff(1208,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1209,plain,
% 18.95/19.16 ((~![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)))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1210,plain,
% 18.95/19.16 ((~![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))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 18.95/19.16 tff(1211,plain,
% 18.95/19.16 (~m_main_v_state2(s9, c_t2)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1210, 10, 1139])).
% 18.95/19.16 tff(1212,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1213,plain,
% 18.95/19.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1214,plain,
% 18.95/19.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 18.95/19.16 tff(1215,plain,
% 18.95/19.16 (~node1(s9)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1214, 206, 1211])).
% 18.95/19.16 tff(1216,plain,
% 18.95/19.16 (succ(s9, s10) <=> succ(s9, s10)),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1217,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 18.95/19.16 tff(1218,plain,
% 18.95/19.16 (succ(s9, s10)),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 18.95/19.16 tff(1219,plain,
% 18.95/19.16 (((~![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))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1220,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1221,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 18.95/19.16 tff(1222,plain,
% 18.95/19.16 (trans(s9, s10)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1221, 1218, 57])).
% 18.95/19.16 tff(1223,plain,
% 18.95/19.16 (((~![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))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1224,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1225,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 18.95/19.16 tff(1226,plain,
% 18.95/19.16 (node7(s9, s10)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1225, 217, 1222])).
% 18.95/19.16 tff(1227,plain,
% 18.95/19.16 (((~![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(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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1228,plain,
% 18.95/19.16 (((~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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1229,plain,
% 18.95/19.16 (((~![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(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))))),
% 18.95/19.16 inference(monotonicity,[status(thm)],[1228])).
% 18.95/19.16 tff(1230,plain,
% 18.95/19.16 (((~![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(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)))),
% 18.95/19.16 inference(transitivity,[status(thm)],[1229, 1227])).
% 18.95/19.16 tff(1231,plain,
% 18.95/19.16 ((~![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(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))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1232,plain,
% 18.95/19.16 ((~![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(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))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 18.95/19.16 tff(1233,plain,
% 18.95/19.16 ((~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)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1232, 965, 1226])).
% 18.95/19.16 tff(1234,plain,
% 18.95/19.16 (m_main_v_state1(s10, c_c1)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1233, 1215, 1139, 1207, 1200, 1147])).
% 18.95/19.16 tff(1235,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1236,plain,
% 18.95/19.16 ((~![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)))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1237,plain,
% 18.95/19.16 ((~![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))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 18.95/19.16 tff(1238,plain,
% 18.95/19.16 (~m_main_v_state1(s10, c_t1)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1237, 289, 1234])).
% 18.95/19.16 tff(1239,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1240,plain,
% 18.95/19.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1241,plain,
% 18.95/19.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 18.95/19.16 tff(1242,plain,
% 18.95/19.16 (~node5(s10)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1241, 300, 1238])).
% 18.95/19.16 tff(1243,plain,
% 18.95/19.16 (((~![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))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1244,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1245,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 18.95/19.16 tff(1246,plain,
% 18.95/19.16 (node14(s9, s10)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1245, 130, 1222])).
% 18.95/19.16 tff(1247,plain,
% 18.95/19.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 18.95/19.16 inference(rewrite,[status(thm)],[])).
% 18.95/19.16 tff(1248,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 18.95/19.16 inference(quant_inst,[status(thm)],[])).
% 18.95/19.16 tff(1249,plain,
% 18.95/19.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 18.95/19.16 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 18.95/19.16 tff(1250,plain,
% 18.95/19.16 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1249, 893, 1246])).
% 18.95/19.16 tff(1251,plain,
% 18.95/19.16 (m_main_v_state2(s10, c_t2)),
% 18.95/19.16 inference(unit_resolution,[status(thm)],[1250, 1207, 1139])).
% 18.95/19.16 tff(1252,plain,
% 18.95/19.16 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1253,plain,
% 18.95/19.17 ((~![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)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1254,plain,
% 18.95/19.17 ((~![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))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 18.95/19.17 tff(1255,plain,
% 18.95/19.17 (~m_main_v_state2(s10, c_n2)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1254, 10, 1251])).
% 18.95/19.17 tff(1256,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1257,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1258,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 18.95/19.17 tff(1259,plain,
% 18.95/19.17 (~node4(s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1258, 162, 1255])).
% 18.95/19.17 tff(1260,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1261,plain,
% 18.95/19.17 ((~![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)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1262,plain,
% 18.95/19.17 ((~![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))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 18.95/19.17 tff(1263,plain,
% 18.95/19.17 (~m_main_v_state2(s10, c_c2)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1262, 173, 1251])).
% 18.95/19.17 tff(1264,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1265,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1266,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 18.95/19.17 tff(1267,plain,
% 18.95/19.17 (~node3(s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1266, 184, 1263])).
% 18.95/19.17 tff(1268,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1269,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1270,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 18.95/19.17 tff(1271,plain,
% 18.95/19.17 (~node2(s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1270, 195, 1255])).
% 18.95/19.17 tff(1272,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1273,plain,
% 18.95/19.17 ((~![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)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1274,plain,
% 18.95/19.17 ((~![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))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 18.95/19.17 tff(1275,plain,
% 18.95/19.17 (~m_main_v_state1(s10, c_n1)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1274, 449, 1234])).
% 18.95/19.17 tff(1276,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1277,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1278,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 18.95/19.17 tff(1279,plain,
% 18.95/19.17 (~node1(s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1278, 249, 1275])).
% 18.95/19.17 tff(1280,plain,
% 18.95/19.17 (succ(s10, s11) <=> succ(s10, s11)),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1281,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 18.95/19.17 tff(1282,plain,
% 18.95/19.17 (succ(s10, s11)),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 18.95/19.17 tff(1283,plain,
% 18.95/19.17 (((~![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))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1284,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1285,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 18.95/19.17 tff(1286,plain,
% 18.95/19.17 (trans(s10, s11)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1285, 1282, 57])).
% 18.95/19.17 tff(1287,plain,
% 18.95/19.17 (((~![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))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1288,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1289,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 18.95/19.17 tff(1290,plain,
% 18.95/19.17 (node7(s10, s11)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1289, 217, 1286])).
% 18.95/19.17 tff(1291,plain,
% 18.95/19.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1292,plain,
% 18.95/19.17 (((~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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1293,plain,
% 18.95/19.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 18.95/19.17 inference(monotonicity,[status(thm)],[1292])).
% 18.95/19.17 tff(1294,plain,
% 18.95/19.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 18.95/19.17 inference(transitivity,[status(thm)],[1293, 1291])).
% 18.95/19.17 tff(1295,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1296,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 18.95/19.17 tff(1297,plain,
% 18.95/19.17 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1296, 478, 1290])).
% 18.95/19.17 tff(1298,plain,
% 18.95/19.17 (m_main_v_state1(s11, c_n1)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1297, 1279, 1234, 1271, 1267, 1259, 1242])).
% 18.95/19.17 tff(1299,plain,
% 18.95/19.17 (((~![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)))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1300,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1301,plain,
% 18.95/19.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 18.95/19.17 tff(1302,plain,
% 18.95/19.17 (~node15(s9)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1301, 21, 1211])).
% 18.95/19.17 tff(1303,plain,
% 18.95/19.17 (((~![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))),
% 18.95/19.17 inference(rewrite,[status(thm)],[])).
% 18.95/19.17 tff(1304,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 18.95/19.17 inference(quant_inst,[status(thm)],[])).
% 18.95/19.17 tff(1305,plain,
% 18.95/19.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 18.95/19.17 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 18.95/19.17 tff(1306,plain,
% 18.95/19.17 (node18(s9, s10)),
% 18.95/19.17 inference(unit_resolution,[status(thm)],[1305, 71, 1222])).
% 18.95/19.17 tff(1307,plain,
% 18.95/19.17 (((~![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(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))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1308,plain,
% 18.95/19.18 (((~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))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1309,plain,
% 18.95/19.18 (((~![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(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)))),
% 18.95/19.18 inference(monotonicity,[status(thm)],[1308])).
% 18.95/19.18 tff(1310,plain,
% 18.95/19.18 (((~![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(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))),
% 18.95/19.18 inference(transitivity,[status(thm)],[1309, 1307])).
% 18.95/19.18 tff(1311,plain,
% 18.95/19.18 ((~![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(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1312,plain,
% 18.95/19.18 ((~![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(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)),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 18.95/19.18 tff(1313,plain,
% 18.95/19.18 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1312, 863, 1306])).
% 18.95/19.18 tff(1314,plain,
% 18.95/19.18 (m_main_v_turn(s10, c_1)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1313, 1302, 1139, 1207])).
% 18.95/19.18 tff(1315,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1316,plain,
% 18.95/19.18 ((~![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)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1317,plain,
% 18.95/19.18 ((~![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))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 18.95/19.18 tff(1318,plain,
% 18.95/19.18 (~m_main_v_turn(s10, c_2)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1317, 322, 1314])).
% 18.95/19.18 tff(1319,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1320,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1321,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 18.95/19.18 tff(1322,plain,
% 18.95/19.18 (~node12(s10)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1321, 350, 1318])).
% 18.95/19.18 tff(1323,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1324,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1325,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 18.95/19.18 tff(1326,plain,
% 18.95/19.18 (~node8(s10)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1325, 383, 1255])).
% 18.95/19.18 tff(1327,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1328,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1329,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 18.95/19.18 tff(1330,plain,
% 18.95/19.18 (~node9(s10)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1329, 311, 1255])).
% 18.95/19.18 tff(1331,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1332,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1333,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 18.95/19.18 tff(1334,plain,
% 18.95/19.18 (~node10(s10)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1333, 372, 1255])).
% 18.95/19.18 tff(1335,plain,
% 18.95/19.18 (((~![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)))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1336,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1337,plain,
% 18.95/19.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 18.95/19.18 tff(1338,plain,
% 18.95/19.18 (~node11(s10)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1337, 361, 1275])).
% 18.95/19.18 tff(1339,plain,
% 18.95/19.18 (((~![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))),
% 18.95/19.18 inference(rewrite,[status(thm)],[])).
% 18.95/19.18 tff(1340,plain,
% 18.95/19.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 18.95/19.18 inference(quant_inst,[status(thm)],[])).
% 18.95/19.18 tff(1341,plain,
% 18.95/19.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 18.95/19.18 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 18.95/19.18 tff(1342,plain,
% 18.95/19.18 (node14(s10, s11)),
% 18.95/19.18 inference(unit_resolution,[status(thm)],[1341, 130, 1286])).
% 18.95/19.18 tff(1343,plain,
% 18.95/19.18 (((~![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(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)))),
% 19.01/19.18 inference(rewrite,[status(thm)],[])).
% 19.01/19.18 tff(1344,plain,
% 19.01/19.18 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 19.01/19.18 inference(quant_inst,[status(thm)],[])).
% 19.01/19.18 tff(1345,plain,
% 19.01/19.18 ((~![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(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 19.01/19.18 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 19.01/19.18 tff(1346,plain,
% 19.01/19.18 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 19.01/19.18 inference(unit_resolution,[status(thm)],[1345, 401, 1342])).
% 19.01/19.18 tff(1347,plain,
% 19.01/19.18 (node13(s10, s11)),
% 19.01/19.18 inference(unit_resolution,[status(thm)],[1346, 1338, 1263, 1334, 1330, 1326, 1322])).
% 19.01/19.18 tff(1348,plain,
% 19.01/19.18 (((~![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(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)))),
% 19.01/19.18 inference(rewrite,[status(thm)],[])).
% 19.01/19.18 tff(1349,plain,
% 19.01/19.18 (((~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)))),
% 19.01/19.18 inference(rewrite,[status(thm)],[])).
% 19.01/19.18 tff(1350,plain,
% 19.01/19.18 (((~![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))))),
% 19.01/19.18 inference(monotonicity,[status(thm)],[1349])).
% 19.01/19.18 tff(1351,plain,
% 19.01/19.18 (((~![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)))),
% 19.01/19.18 inference(transitivity,[status(thm)],[1350, 1348])).
% 19.01/19.18 tff(1352,plain,
% 19.01/19.18 ((~![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))),
% 19.01/19.18 inference(quant_inst,[status(thm)],[])).
% 19.01/19.18 tff(1353,plain,
% 19.01/19.18 ((~![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(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 19.01/19.18 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 19.01/19.18 tff(1354,plain,
% 19.01/19.18 (m_main_v_state2(s11, c_t2)),
% 19.01/19.18 inference(unit_resolution,[status(thm)],[1353, 563, 1251, 1347])).
% 19.01/19.18 tff(1355,plain,
% 19.01/19.18 (succ(s11, s12) <=> succ(s11, s12)),
% 19.01/19.18 inference(rewrite,[status(thm)],[])).
% 19.01/19.18 tff(1356,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 19.01/19.18 tff(1357,plain,
% 19.01/19.18 (succ(s11, s12)),
% 19.01/19.18 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 19.01/19.18 tff(1358,plain,
% 19.01/19.18 (((~![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))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1359,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1360,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 19.01/19.19 tff(1361,plain,
% 19.01/19.19 (trans(s11, s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1360, 1357, 57])).
% 19.01/19.19 tff(1362,plain,
% 19.01/19.19 (((~![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))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1363,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1364,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 19.01/19.19 tff(1365,plain,
% 19.01/19.19 (node7(s11, s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1364, 217, 1361])).
% 19.01/19.19 tff(1366,plain,
% 19.01/19.19 (((~![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(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))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1367,plain,
% 19.01/19.19 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1368,plain,
% 19.01/19.19 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 19.01/19.19 tff(1369,plain,
% 19.01/19.19 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1368, 598, 1365])).
% 19.01/19.19 tff(1370,plain,
% 19.01/19.19 (m_main_v_state1(s12, c_t1)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1369, 1354, 1298])).
% 19.01/19.19 tff(1371,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1372,plain,
% 19.01/19.19 ((~![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)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1373,plain,
% 19.01/19.19 ((~![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))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 19.01/19.19 tff(1374,plain,
% 19.01/19.19 (~m_main_v_state1(s12, c_n1)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1373, 35, 1370])).
% 19.01/19.19 tff(1375,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1376,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1377,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 19.01/19.19 tff(1378,plain,
% 19.01/19.19 (~node1(s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1377, 249, 1374])).
% 19.01/19.19 tff(1379,plain,
% 19.01/19.19 (((~![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))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1380,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1381,plain,
% 19.01/19.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 19.01/19.19 tff(1382,plain,
% 19.01/19.19 (node18(s11, s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1381, 71, 1361])).
% 19.01/19.19 tff(1383,plain,
% 19.01/19.19 (((~![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(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))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1384,plain,
% 19.01/19.19 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1385,plain,
% 19.01/19.19 ((~![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(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 19.01/19.19 tff(1386,plain,
% 19.01/19.19 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1385, 625, 1382])).
% 19.01/19.19 tff(1387,plain,
% 19.01/19.19 (m_main_v_turn(s12, c_2)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1386, 1354, 1298])).
% 19.01/19.19 tff(1388,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1389,plain,
% 19.01/19.19 ((~![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)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1390,plain,
% 19.01/19.19 ((~![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))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 19.01/19.19 tff(1391,plain,
% 19.01/19.19 (~m_main_v_turn(s12, c_1)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1390, 322, 1387])).
% 19.01/19.19 tff(1392,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1393,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1394,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 19.01/19.19 tff(1395,plain,
% 19.01/19.19 (~node5(s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1394, 641, 1391])).
% 19.01/19.19 tff(1396,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1397,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1398,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 19.01/19.19 tff(1399,plain,
% 19.01/19.19 (~node2(s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1398, 652, 1374])).
% 19.01/19.19 tff(1400,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1401,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1402,plain,
% 19.01/19.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 19.01/19.19 tff(1403,plain,
% 19.01/19.19 (~node3(s12)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1402, 663, 1374])).
% 19.01/19.19 tff(1404,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1405,plain,
% 19.01/19.19 ((~![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)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1406,plain,
% 19.01/19.19 ((~![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))),
% 19.01/19.19 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 19.01/19.19 tff(1407,plain,
% 19.01/19.19 (~m_main_v_state1(s12, c_c1)),
% 19.01/19.19 inference(unit_resolution,[status(thm)],[1406, 289, 1370])).
% 19.01/19.19 tff(1408,plain,
% 19.01/19.19 (((~![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(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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1409,plain,
% 19.01/19.19 (((~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)))),
% 19.01/19.19 inference(rewrite,[status(thm)],[])).
% 19.01/19.19 tff(1410,plain,
% 19.01/19.19 (((~![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))))),
% 19.01/19.19 inference(monotonicity,[status(thm)],[1409])).
% 19.01/19.19 tff(1411,plain,
% 19.01/19.19 (((~![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)))),
% 19.01/19.19 inference(transitivity,[status(thm)],[1410, 1408])).
% 19.01/19.19 tff(1412,plain,
% 19.01/19.19 ((~![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)))),
% 19.01/19.19 inference(quant_inst,[status(thm)],[])).
% 19.01/19.19 tff(1413,plain,
% 19.01/19.19 ((~![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(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 19.01/19.20 tff(1414,plain,
% 19.01/19.20 (~m_main_v_state2(s11, c_n2)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1413, 416, 1255, 1347])).
% 19.01/19.20 tff(1415,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1416,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1417,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 19.01/19.20 tff(1418,plain,
% 19.01/19.20 (~node9(s11)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1417, 311, 1414])).
% 19.01/19.20 tff(1419,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1420,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1421,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 19.01/19.20 tff(1422,plain,
% 19.01/19.20 (~node10(s11)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1421, 372, 1414])).
% 19.01/19.20 tff(1423,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1424,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1425,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 19.01/19.20 tff(1426,plain,
% 19.01/19.20 (~node8(s11)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1425, 383, 1414])).
% 19.01/19.20 tff(1427,plain,
% 19.01/19.20 (((~![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))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1428,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1429,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 19.01/19.20 tff(1430,plain,
% 19.01/19.20 (node14(s11, s12)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1429, 130, 1361])).
% 19.01/19.20 tff(1431,plain,
% 19.01/19.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1432,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1433,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 19.01/19.20 tff(1434,plain,
% 19.01/19.20 ((~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)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1433, 704, 1430])).
% 19.01/19.20 tff(1435,plain,
% 19.01/19.20 (m_main_v_state2(s12, c_c2)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1434, 1426, 1298, 1354, 1422, 1418])).
% 19.01/19.20 tff(1436,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1437,plain,
% 19.01/19.20 ((~![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)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1438,plain,
% 19.01/19.20 ((~![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))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 19.01/19.20 tff(1439,plain,
% 19.01/19.20 (~m_main_v_state2(s12, c_n2)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1438, 716, 1435])).
% 19.01/19.20 tff(1440,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1441,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1442,plain,
% 19.01/19.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 19.01/19.20 tff(1443,plain,
% 19.01/19.20 (~node4(s12)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1442, 162, 1439])).
% 19.01/19.20 tff(1444,plain,
% 19.01/19.20 (succ(s12, s13) <=> succ(s12, s13)),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1445,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 19.01/19.20 tff(1446,plain,
% 19.01/19.20 (succ(s12, s13)),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 19.01/19.20 tff(1447,plain,
% 19.01/19.20 (((~![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))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1448,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1449,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 19.01/19.20 tff(1450,plain,
% 19.01/19.20 (trans(s12, s13)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1449, 1446, 57])).
% 19.01/19.20 tff(1451,plain,
% 19.01/19.20 (((~![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))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1452,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1453,plain,
% 19.01/19.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 19.01/19.20 tff(1454,plain,
% 19.01/19.20 (node7(s12, s13)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1453, 217, 1450])).
% 19.01/19.20 tff(1455,plain,
% 19.01/19.20 (((~![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(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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1456,plain,
% 19.01/19.20 ((~![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(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1457,plain,
% 19.01/19.20 ((~![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(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 19.01/19.20 tff(1458,plain,
% 19.01/19.20 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1457, 745, 1454])).
% 19.01/19.20 tff(1459,plain,
% 19.01/19.20 (node6(s12, s13)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1458, 1443, 1407, 1403, 1399, 1395, 1378])).
% 19.01/19.20 tff(1460,plain,
% 19.01/19.20 (((~![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(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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1461,plain,
% 19.01/19.20 (((~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)))),
% 19.01/19.20 inference(rewrite,[status(thm)],[])).
% 19.01/19.20 tff(1462,plain,
% 19.01/19.20 (((~![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))))),
% 19.01/19.20 inference(monotonicity,[status(thm)],[1461])).
% 19.01/19.20 tff(1463,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.20 inference(transitivity,[status(thm)],[1462, 1460])).
% 19.01/19.20 tff(1464,plain,
% 19.01/19.20 ((~![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))),
% 19.01/19.20 inference(quant_inst,[status(thm)],[])).
% 19.01/19.20 tff(1465,plain,
% 19.01/19.20 ((~![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(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 19.01/19.20 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 19.01/19.20 tff(1466,plain,
% 19.01/19.20 (m_main_v_state1(s13, c_t1)),
% 19.01/19.20 inference(unit_resolution,[status(thm)],[1465, 760, 1370, 1459])).
% 19.01/19.20 tff(1467,plain,
% 19.01/19.20 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1468,plain,
% 19.01/19.21 ((~![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)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1469,plain,
% 19.01/19.21 ((~![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))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 19.01/19.21 tff(1470,plain,
% 19.01/19.21 (~m_main_v_state2(s12, c_t2)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1469, 173, 1435])).
% 19.01/19.21 tff(1471,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1472,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1473,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 19.01/19.21 tff(1474,plain,
% 19.01/19.21 (~node12(s12)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1473, 778, 1470])).
% 19.01/19.21 tff(1475,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1476,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1477,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 19.01/19.21 tff(1478,plain,
% 19.01/19.21 (~node11(s12)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1477, 361, 1374])).
% 19.01/19.21 tff(1479,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1480,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1481,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 19.01/19.21 tff(1482,plain,
% 19.01/19.21 (~node10(s12)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1481, 793, 1407])).
% 19.01/19.21 tff(1483,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1484,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1485,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 19.01/19.21 tff(1486,plain,
% 19.01/19.21 (~node9(s12)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1485, 804, 1374])).
% 19.01/19.21 tff(1487,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1488,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1489,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 19.01/19.21 tff(1490,plain,
% 19.01/19.21 (~node8(s12)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1489, 383, 1439])).
% 19.01/19.21 tff(1491,plain,
% 19.01/19.21 (((~![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))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1492,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1493,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 19.01/19.21 tff(1494,plain,
% 19.01/19.21 (node14(s12, s13)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1493, 130, 1450])).
% 19.01/19.21 tff(1495,plain,
% 19.01/19.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1496,plain,
% 19.01/19.21 (((~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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1497,plain,
% 19.01/19.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.01/19.21 inference(monotonicity,[status(thm)],[1496])).
% 19.01/19.21 tff(1498,plain,
% 19.01/19.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.01/19.21 inference(transitivity,[status(thm)],[1497, 1495])).
% 19.01/19.21 tff(1499,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1500,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 19.01/19.21 tff(1501,plain,
% 19.01/19.21 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1500, 826, 1494])).
% 19.01/19.21 tff(1502,plain,
% 19.01/19.21 (m_main_v_state2(s13, c_n2)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1501, 1490, 1435, 1486, 1482, 1478, 1474])).
% 19.01/19.21 tff(1503,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1504,plain,
% 19.01/19.21 ((~![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)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1505,plain,
% 19.01/19.21 ((~![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))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 19.01/19.21 tff(1506,plain,
% 19.01/19.21 (~m_main_v_state2(s13, c_t2)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1505, 10, 1502])).
% 19.01/19.21 tff(1507,plain,
% 19.01/19.21 (((~![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)))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1508,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1509,plain,
% 19.01/19.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 19.01/19.21 tff(1510,plain,
% 19.01/19.21 (~node15(s13)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1509, 21, 1506])).
% 19.01/19.21 tff(1511,plain,
% 19.01/19.21 (succ(s13, s14) <=> succ(s13, s14)),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1512,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 19.01/19.21 tff(1513,plain,
% 19.01/19.21 (succ(s13, s14)),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 19.01/19.21 tff(1514,plain,
% 19.01/19.21 (((~![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))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1515,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1516,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 19.01/19.21 tff(1517,plain,
% 19.01/19.21 (trans(s13, s14)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1516, 1513, 57])).
% 19.01/19.21 tff(1518,plain,
% 19.01/19.21 (((~![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))),
% 19.01/19.21 inference(rewrite,[status(thm)],[])).
% 19.01/19.21 tff(1519,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 19.01/19.21 inference(quant_inst,[status(thm)],[])).
% 19.01/19.21 tff(1520,plain,
% 19.01/19.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 19.01/19.21 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 19.01/19.21 tff(1521,plain,
% 19.01/19.21 (node18(s13, s14)),
% 19.01/19.21 inference(unit_resolution,[status(thm)],[1520, 71, 1517])).
% 19.01/19.21 tff(1522,plain,
% 19.01/19.21 (((~![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(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))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1523,plain,
% 19.01/19.22 (((~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))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1524,plain,
% 19.01/19.22 (((~![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(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)))),
% 19.01/19.22 inference(monotonicity,[status(thm)],[1523])).
% 19.01/19.22 tff(1525,plain,
% 19.01/19.22 (((~![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(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))),
% 19.01/19.22 inference(transitivity,[status(thm)],[1524, 1522])).
% 19.01/19.22 tff(1526,plain,
% 19.01/19.22 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1527,plain,
% 19.01/19.22 ((~![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(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)),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 19.01/19.22 tff(1528,plain,
% 19.01/19.22 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1527, 863, 1521])).
% 19.01/19.22 tff(1529,plain,
% 19.01/19.22 (m_main_v_turn(s14, c_1)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1528, 1510, 1502, 1466])).
% 19.01/19.22 tff(1530,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1531,plain,
% 19.01/19.22 ((~![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)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1532,plain,
% 19.01/19.22 ((~![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))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 19.01/19.22 tff(1533,plain,
% 19.01/19.22 (~m_main_v_turn(s14, c_2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1532, 322, 1529])).
% 19.01/19.22 tff(1534,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1535,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1536,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 19.01/19.22 tff(1537,plain,
% 19.01/19.22 (~node12(s14)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1536, 350, 1533])).
% 19.01/19.22 tff(1538,plain,
% 19.01/19.22 (((~![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))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1539,plain,
% 19.01/19.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1540,plain,
% 19.01/19.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 19.01/19.22 tff(1541,plain,
% 19.01/19.22 (node14(s13, s14)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1540, 130, 1517])).
% 19.01/19.22 tff(1542,plain,
% 19.01/19.22 (((~![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(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))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1543,plain,
% 19.01/19.22 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1544,plain,
% 19.01/19.22 ((~![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(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 19.01/19.22 tff(1545,plain,
% 19.01/19.22 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1544, 893, 1541])).
% 19.01/19.22 tff(1546,plain,
% 19.01/19.22 (m_main_v_state2(s14, c_t2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1545, 1466, 1502])).
% 19.01/19.22 tff(1547,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1548,plain,
% 19.01/19.22 ((~![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)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1549,plain,
% 19.01/19.22 ((~![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))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 19.01/19.22 tff(1550,plain,
% 19.01/19.22 (~m_main_v_state2(s14, c_n2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1549, 10, 1546])).
% 19.01/19.22 tff(1551,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1552,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1553,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 19.01/19.22 tff(1554,plain,
% 19.01/19.22 (~node8(s14)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1553, 383, 1550])).
% 19.01/19.22 tff(1555,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1556,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1557,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 19.01/19.22 tff(1558,plain,
% 19.01/19.22 (~node9(s14)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1557, 311, 1550])).
% 19.01/19.22 tff(1559,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1560,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1561,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 19.01/19.22 tff(1562,plain,
% 19.01/19.22 (~node10(s14)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1561, 372, 1550])).
% 19.01/19.22 tff(1563,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1564,plain,
% 19.01/19.22 ((~![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)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1565,plain,
% 19.01/19.22 ((~![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))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 19.01/19.22 tff(1566,plain,
% 19.01/19.22 (~m_main_v_state2(s14, c_c2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1565, 173, 1546])).
% 19.01/19.22 tff(1567,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1568,plain,
% 19.01/19.22 ((~![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)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1569,plain,
% 19.01/19.22 ((~![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))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 19.01/19.22 tff(1570,plain,
% 19.01/19.22 (~m_main_v_state2(s13, c_c2)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1569, 716, 1502])).
% 19.01/19.22 tff(1571,plain,
% 19.01/19.22 (((~![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)))),
% 19.01/19.22 inference(rewrite,[status(thm)],[])).
% 19.01/19.22 tff(1572,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 19.01/19.22 inference(quant_inst,[status(thm)],[])).
% 19.01/19.22 tff(1573,plain,
% 19.01/19.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 19.01/19.22 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 19.01/19.22 tff(1574,plain,
% 19.01/19.22 (~node3(s13)),
% 19.01/19.22 inference(unit_resolution,[status(thm)],[1573, 184, 1570])).
% 19.01/19.22 tff(1575,plain,
% 19.01/19.22 (((~![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(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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1576,plain,
% 19.01/19.23 (((~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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1577,plain,
% 19.01/19.23 (((~![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))))),
% 19.01/19.23 inference(monotonicity,[status(thm)],[1576])).
% 19.01/19.23 tff(1578,plain,
% 19.01/19.23 (((~![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)))),
% 19.01/19.23 inference(transitivity,[status(thm)],[1577, 1575])).
% 19.01/19.23 tff(1579,plain,
% 19.01/19.23 ((~![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)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1580,plain,
% 19.01/19.23 ((~![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(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 19.01/19.23 tff(1581,plain,
% 19.01/19.23 (~m_main_v_state1(s13, c_n1)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1580, 936, 1374, 1459])).
% 19.01/19.23 tff(1582,plain,
% 19.01/19.23 (((~![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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1583,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1584,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 19.01/19.23 tff(1585,plain,
% 19.01/19.23 (~node2(s13)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1584, 652, 1581])).
% 19.01/19.23 tff(1586,plain,
% 19.01/19.23 (((~![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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1587,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1588,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 19.01/19.23 tff(1589,plain,
% 19.01/19.23 (~node1(s13)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1588, 206, 1506])).
% 19.01/19.23 tff(1590,plain,
% 19.01/19.23 (((~![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))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1591,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1592,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 19.01/19.23 tff(1593,plain,
% 19.01/19.23 (node7(s13, s14)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1592, 217, 1517])).
% 19.01/19.23 tff(1594,plain,
% 19.01/19.23 (((~![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(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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1595,plain,
% 19.01/19.23 (((~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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1596,plain,
% 19.01/19.23 (((~![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(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))))),
% 19.01/19.23 inference(monotonicity,[status(thm)],[1595])).
% 19.01/19.23 tff(1597,plain,
% 19.01/19.23 (((~![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(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)))),
% 19.01/19.23 inference(transitivity,[status(thm)],[1596, 1594])).
% 19.01/19.23 tff(1598,plain,
% 19.01/19.23 ((~![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(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))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1599,plain,
% 19.01/19.23 ((~![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(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))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 19.01/19.23 tff(1600,plain,
% 19.01/19.23 ((~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)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1599, 965, 1593])).
% 19.01/19.23 tff(1601,plain,
% 19.01/19.23 (m_main_v_state1(s14, c_c1)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1600, 1589, 1502, 1466, 1585, 1574])).
% 19.01/19.23 tff(1602,plain,
% 19.01/19.23 (((~![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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1603,plain,
% 19.01/19.23 ((~![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)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1604,plain,
% 19.01/19.23 ((~![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))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 19.01/19.23 tff(1605,plain,
% 19.01/19.23 (~m_main_v_state1(s14, c_n1)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1604, 449, 1601])).
% 19.01/19.23 tff(1606,plain,
% 19.01/19.23 (((~![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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1607,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1608,plain,
% 19.01/19.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 19.01/19.23 tff(1609,plain,
% 19.01/19.23 (~node11(s14)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1608, 361, 1605])).
% 19.01/19.23 tff(1610,plain,
% 19.01/19.23 (succ(s14, s15) <=> succ(s14, s15)),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1611,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 19.01/19.23 tff(1612,plain,
% 19.01/19.23 (succ(s14, s15)),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 19.01/19.23 tff(1613,plain,
% 19.01/19.23 (((~![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))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1614,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1615,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 19.01/19.23 tff(1616,plain,
% 19.01/19.23 (trans(s14, s15)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1615, 1612, 57])).
% 19.01/19.23 tff(1617,plain,
% 19.01/19.23 (((~![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))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1618,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1619,plain,
% 19.01/19.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 19.01/19.23 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 19.01/19.23 tff(1620,plain,
% 19.01/19.23 (node14(s14, s15)),
% 19.01/19.23 inference(unit_resolution,[status(thm)],[1619, 130, 1616])).
% 19.01/19.23 tff(1621,plain,
% 19.01/19.23 (((~![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(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)))),
% 19.01/19.23 inference(rewrite,[status(thm)],[])).
% 19.01/19.23 tff(1622,plain,
% 19.01/19.23 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 19.01/19.23 inference(quant_inst,[status(thm)],[])).
% 19.01/19.23 tff(1623,plain,
% 19.01/19.23 ((~![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(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 19.01/19.24 tff(1624,plain,
% 19.01/19.24 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1623, 401, 1620])).
% 19.01/19.24 tff(1625,plain,
% 19.01/19.24 (node13(s14, s15)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1624, 1609, 1566, 1562, 1558, 1554, 1537])).
% 19.01/19.24 tff(1626,plain,
% 19.01/19.24 (((~![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(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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1627,plain,
% 19.01/19.24 (((~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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1628,plain,
% 19.01/19.24 (((~![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))))),
% 19.01/19.24 inference(monotonicity,[status(thm)],[1627])).
% 19.01/19.24 tff(1629,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(transitivity,[status(thm)],[1628, 1626])).
% 19.01/19.24 tff(1630,plain,
% 19.01/19.24 ((~![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)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1631,plain,
% 19.01/19.24 ((~![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(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 19.01/19.24 tff(1632,plain,
% 19.01/19.24 (~m_main_v_state2(s15, c_n2)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1631, 416, 1550, 1625])).
% 19.01/19.24 tff(1633,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1634,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1635,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 19.01/19.24 tff(1636,plain,
% 19.01/19.24 (~node9(s15)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1635, 311, 1632])).
% 19.01/19.24 tff(1637,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1638,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1639,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 19.01/19.24 tff(1640,plain,
% 19.01/19.24 (~node10(s15)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1639, 372, 1632])).
% 19.01/19.24 tff(1641,plain,
% 19.01/19.24 (((~![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(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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1642,plain,
% 19.01/19.24 (((~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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1643,plain,
% 19.01/19.24 (((~![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))))),
% 19.01/19.24 inference(monotonicity,[status(thm)],[1642])).
% 19.01/19.24 tff(1644,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(transitivity,[status(thm)],[1643, 1641])).
% 19.01/19.24 tff(1645,plain,
% 19.01/19.24 ((~![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))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1646,plain,
% 19.01/19.24 ((~![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(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 19.01/19.24 tff(1647,plain,
% 19.01/19.24 (m_main_v_state2(s15, c_t2)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1646, 563, 1546, 1625])).
% 19.01/19.24 tff(1648,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1649,plain,
% 19.01/19.24 ((~![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)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1650,plain,
% 19.01/19.24 ((~![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))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 19.01/19.24 tff(1651,plain,
% 19.01/19.24 (~m_main_v_state1(s14, c_t1)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1650, 289, 1601])).
% 19.01/19.24 tff(1652,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1653,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1654,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 19.01/19.24 tff(1655,plain,
% 19.01/19.24 (~node5(s14)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1654, 300, 1651])).
% 19.01/19.24 tff(1656,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1657,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1658,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 19.01/19.24 tff(1659,plain,
% 19.01/19.24 (~node4(s14)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1658, 162, 1550])).
% 19.01/19.24 tff(1660,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1661,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1662,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 19.01/19.24 tff(1663,plain,
% 19.01/19.24 (~node3(s14)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1662, 184, 1566])).
% 19.01/19.24 tff(1664,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1665,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1666,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 19.01/19.24 tff(1667,plain,
% 19.01/19.24 (~node2(s14)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1666, 195, 1550])).
% 19.01/19.24 tff(1668,plain,
% 19.01/19.24 (((~![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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1669,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1670,plain,
% 19.01/19.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 19.01/19.24 tff(1671,plain,
% 19.01/19.24 (~node1(s14)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1670, 249, 1605])).
% 19.01/19.24 tff(1672,plain,
% 19.01/19.24 (((~![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))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1673,plain,
% 19.01/19.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 19.01/19.24 inference(quant_inst,[status(thm)],[])).
% 19.01/19.24 tff(1674,plain,
% 19.01/19.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 19.01/19.24 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 19.01/19.24 tff(1675,plain,
% 19.01/19.24 (node7(s14, s15)),
% 19.01/19.24 inference(unit_resolution,[status(thm)],[1674, 217, 1616])).
% 19.01/19.24 tff(1676,plain,
% 19.01/19.24 (((~![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(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)))),
% 19.01/19.24 inference(rewrite,[status(thm)],[])).
% 19.01/19.24 tff(1677,plain,
% 19.01/19.24 (((~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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1678,plain,
% 19.01/19.25 (((~![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(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))))),
% 19.01/19.25 inference(monotonicity,[status(thm)],[1677])).
% 19.01/19.25 tff(1679,plain,
% 19.01/19.25 (((~![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(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)))),
% 19.01/19.25 inference(transitivity,[status(thm)],[1678, 1676])).
% 19.01/19.25 tff(1680,plain,
% 19.01/19.25 ((~![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(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1681,plain,
% 19.01/19.25 ((~![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(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 19.01/19.25 tff(1682,plain,
% 19.01/19.25 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1681, 478, 1675])).
% 19.01/19.25 tff(1683,plain,
% 19.01/19.25 (m_main_v_state1(s15, c_n1)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1682, 1671, 1601, 1667, 1663, 1659, 1655])).
% 19.01/19.25 tff(1684,plain,
% 19.01/19.25 (((~![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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1685,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1686,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 19.01/19.25 tff(1687,plain,
% 19.01/19.25 (~node8(s15)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1686, 383, 1632])).
% 19.01/19.25 tff(1688,plain,
% 19.01/19.25 (succ(s15, s16) <=> succ(s15, s16)),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1689,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 19.01/19.25 tff(1690,plain,
% 19.01/19.25 (succ(s15, s16)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 19.01/19.25 tff(1691,plain,
% 19.01/19.25 (((~![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))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1692,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1693,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 19.01/19.25 tff(1694,plain,
% 19.01/19.25 (trans(s15, s16)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1693, 1690, 57])).
% 19.01/19.25 tff(1695,plain,
% 19.01/19.25 (((~![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))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1696,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1697,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 19.01/19.25 tff(1698,plain,
% 19.01/19.25 (node14(s15, s16)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1697, 130, 1694])).
% 19.01/19.25 tff(1699,plain,
% 19.01/19.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1700,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1701,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 19.01/19.25 tff(1702,plain,
% 19.01/19.25 ((~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)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1701, 704, 1698])).
% 19.01/19.25 tff(1703,plain,
% 19.01/19.25 (m_main_v_state2(s16, c_c2)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1702, 1687, 1683, 1647, 1640, 1636])).
% 19.01/19.25 tff(1704,plain,
% 19.01/19.25 (((~![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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1705,plain,
% 19.01/19.25 ((~![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)))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1706,plain,
% 19.01/19.25 ((~![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))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 19.01/19.25 tff(1707,plain,
% 19.01/19.25 (~m_main_v_state2(s16, c_t2)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1706, 173, 1703])).
% 19.01/19.25 tff(1708,plain,
% 19.01/19.25 (((~![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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1709,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1710,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 19.01/19.25 tff(1711,plain,
% 19.01/19.25 (~node12(s16)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1710, 778, 1707])).
% 19.01/19.25 tff(1712,plain,
% 19.01/19.25 (((~![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))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1713,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1714,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 19.01/19.25 tff(1715,plain,
% 19.01/19.25 (node7(s15, s16)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1714, 217, 1694])).
% 19.01/19.25 tff(1716,plain,
% 19.01/19.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1717,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1718,plain,
% 19.01/19.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 19.01/19.25 tff(1719,plain,
% 19.01/19.25 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1718, 598, 1715])).
% 19.01/19.25 tff(1720,plain,
% 19.01/19.25 (m_main_v_state1(s16, c_t1)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1719, 1647, 1683])).
% 19.01/19.25 tff(1721,plain,
% 19.01/19.25 (((~![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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1722,plain,
% 19.01/19.25 ((~![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)))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1723,plain,
% 19.01/19.25 ((~![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))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 19.01/19.25 tff(1724,plain,
% 19.01/19.25 (~m_main_v_state1(s16, c_n1)),
% 19.01/19.25 inference(unit_resolution,[status(thm)],[1723, 35, 1720])).
% 19.01/19.25 tff(1725,plain,
% 19.01/19.25 (((~![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)))),
% 19.01/19.25 inference(rewrite,[status(thm)],[])).
% 19.01/19.25 tff(1726,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 19.01/19.25 inference(quant_inst,[status(thm)],[])).
% 19.01/19.25 tff(1727,plain,
% 19.01/19.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 19.01/19.25 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 19.01/19.26 tff(1728,plain,
% 19.01/19.26 (~node11(s16)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1727, 361, 1724])).
% 19.01/19.26 tff(1729,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1730,plain,
% 19.01/19.26 ((~![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)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1731,plain,
% 19.01/19.26 ((~![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))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 19.01/19.26 tff(1732,plain,
% 19.01/19.26 (~m_main_v_state1(s16, c_c1)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1731, 289, 1720])).
% 19.01/19.26 tff(1733,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1734,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1735,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 19.01/19.26 tff(1736,plain,
% 19.01/19.26 (~node10(s16)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1735, 793, 1732])).
% 19.01/19.26 tff(1737,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1738,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1739,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 19.01/19.26 tff(1740,plain,
% 19.01/19.26 (~node9(s16)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1739, 804, 1724])).
% 19.01/19.26 tff(1741,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1742,plain,
% 19.01/19.26 ((~![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)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1743,plain,
% 19.01/19.26 ((~![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))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 19.01/19.26 tff(1744,plain,
% 19.01/19.26 (~m_main_v_state2(s16, c_n2)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1743, 716, 1703])).
% 19.01/19.26 tff(1745,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1746,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1747,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 19.01/19.26 tff(1748,plain,
% 19.01/19.26 (~node8(s16)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1747, 383, 1744])).
% 19.01/19.26 tff(1749,plain,
% 19.01/19.26 (succ(s16, s17) <=> succ(s16, s17)),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1750,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 19.01/19.26 tff(1751,plain,
% 19.01/19.26 (succ(s16, s17)),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 19.01/19.26 tff(1752,plain,
% 19.01/19.26 (((~![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))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1753,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1754,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 19.01/19.26 tff(1755,plain,
% 19.01/19.26 (trans(s16, s17)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1754, 1751, 57])).
% 19.01/19.26 tff(1756,plain,
% 19.01/19.26 (((~![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))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1757,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1758,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 19.01/19.26 tff(1759,plain,
% 19.01/19.26 (node14(s16, s17)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1758, 130, 1755])).
% 19.01/19.26 tff(1760,plain,
% 19.01/19.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1761,plain,
% 19.01/19.26 (((~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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1762,plain,
% 19.01/19.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.01/19.26 inference(monotonicity,[status(thm)],[1761])).
% 19.01/19.26 tff(1763,plain,
% 19.01/19.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.01/19.26 inference(transitivity,[status(thm)],[1762, 1760])).
% 19.01/19.26 tff(1764,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1765,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 19.01/19.26 tff(1766,plain,
% 19.01/19.26 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1765, 826, 1759])).
% 19.01/19.26 tff(1767,plain,
% 19.01/19.26 (m_main_v_state2(s17, c_n2)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1766, 1748, 1703, 1740, 1736, 1728, 1711])).
% 19.01/19.26 tff(1768,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1769,plain,
% 19.01/19.26 ((~![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)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1770,plain,
% 19.01/19.26 ((~![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))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 19.01/19.26 tff(1771,plain,
% 19.01/19.26 (~m_main_v_state2(s17, c_c2)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1770, 716, 1767])).
% 19.01/19.26 tff(1772,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1773,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1774,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 19.01/19.26 tff(1775,plain,
% 19.01/19.26 (~node3(s17)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1774, 184, 1771])).
% 19.01/19.26 tff(1776,plain,
% 19.01/19.26 (((~![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)))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1777,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1778,plain,
% 19.01/19.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 19.01/19.26 tff(1779,plain,
% 19.01/19.26 (~node1(s16)),
% 19.01/19.26 inference(unit_resolution,[status(thm)],[1778, 249, 1724])).
% 19.01/19.26 tff(1780,plain,
% 19.01/19.26 (((~![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))),
% 19.01/19.26 inference(rewrite,[status(thm)],[])).
% 19.01/19.26 tff(1781,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 19.01/19.26 inference(quant_inst,[status(thm)],[])).
% 19.01/19.26 tff(1782,plain,
% 19.01/19.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 19.01/19.26 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 19.01/19.26 tff(1783,plain,
% 19.01/19.27 (node18(s15, s16)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1782, 71, 1694])).
% 19.01/19.27 tff(1784,plain,
% 19.01/19.27 (((~![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(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))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1785,plain,
% 19.01/19.27 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1786,plain,
% 19.01/19.27 ((~![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(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 19.01/19.27 tff(1787,plain,
% 19.01/19.27 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1786, 625, 1783])).
% 19.01/19.27 tff(1788,plain,
% 19.01/19.27 (m_main_v_turn(s16, c_2)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1787, 1647, 1683])).
% 19.01/19.27 tff(1789,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1790,plain,
% 19.01/19.27 ((~![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)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1791,plain,
% 19.01/19.27 ((~![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))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 19.01/19.27 tff(1792,plain,
% 19.01/19.27 (~m_main_v_turn(s16, c_1)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1791, 322, 1788])).
% 19.01/19.27 tff(1793,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1794,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1795,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 19.01/19.27 tff(1796,plain,
% 19.01/19.27 (~node5(s16)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1795, 641, 1792])).
% 19.01/19.27 tff(1797,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1798,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1799,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 19.01/19.27 tff(1800,plain,
% 19.01/19.27 (~node2(s16)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1799, 652, 1724])).
% 19.01/19.27 tff(1801,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1802,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1803,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 19.01/19.27 tff(1804,plain,
% 19.01/19.27 (~node3(s16)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1803, 663, 1724])).
% 19.01/19.27 tff(1805,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1806,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1807,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 19.01/19.27 tff(1808,plain,
% 19.01/19.27 (~node4(s16)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1807, 162, 1744])).
% 19.01/19.27 tff(1809,plain,
% 19.01/19.27 (((~![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))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1810,plain,
% 19.01/19.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1811,plain,
% 19.01/19.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 19.01/19.27 tff(1812,plain,
% 19.01/19.27 (node7(s16, s17)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1811, 217, 1755])).
% 19.01/19.27 tff(1813,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1814,plain,
% 19.01/19.27 ((~![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)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1815,plain,
% 19.01/19.27 ((~![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))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 19.01/19.27 tff(1816,plain,
% 19.01/19.27 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1815, 745, 1812])).
% 19.01/19.27 tff(1817,plain,
% 19.01/19.27 (node6(s16, s17)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1816, 1808, 1732, 1804, 1800, 1796, 1779])).
% 19.01/19.27 tff(1818,plain,
% 19.01/19.27 (((~![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_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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1819,plain,
% 19.01/19.27 (((~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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1820,plain,
% 19.01/19.27 (((~![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_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))))),
% 19.01/19.27 inference(monotonicity,[status(thm)],[1819])).
% 19.01/19.27 tff(1821,plain,
% 19.01/19.27 (((~![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_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)))),
% 19.01/19.27 inference(transitivity,[status(thm)],[1820, 1818])).
% 19.01/19.27 tff(1822,plain,
% 19.01/19.27 ((~![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_n1) | (~m_main_v_state1(s17, c_n1)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1823,plain,
% 19.01/19.27 ((~![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_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 19.01/19.27 tff(1824,plain,
% 19.01/19.27 (~m_main_v_state1(s17, c_n1)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1823, 936, 1724, 1817])).
% 19.01/19.27 tff(1825,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1826,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1827,plain,
% 19.01/19.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 19.01/19.27 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 19.01/19.27 tff(1828,plain,
% 19.01/19.27 (~node2(s17)),
% 19.01/19.27 inference(unit_resolution,[status(thm)],[1827, 652, 1824])).
% 19.01/19.27 tff(1829,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1830,plain,
% 19.01/19.27 (((~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)))),
% 19.01/19.27 inference(rewrite,[status(thm)],[])).
% 19.01/19.27 tff(1831,plain,
% 19.01/19.27 (((~![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))))),
% 19.01/19.27 inference(monotonicity,[status(thm)],[1830])).
% 19.01/19.27 tff(1832,plain,
% 19.01/19.27 (((~![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)))),
% 19.01/19.27 inference(transitivity,[status(thm)],[1831, 1829])).
% 19.01/19.27 tff(1833,plain,
% 19.01/19.27 ((~![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))),
% 19.01/19.27 inference(quant_inst,[status(thm)],[])).
% 19.01/19.27 tff(1834,plain,
% 19.01/19.28 ((~![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_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 19.01/19.28 tff(1835,plain,
% 19.01/19.28 (m_main_v_state1(s17, c_t1)),
% 19.01/19.28 inference(unit_resolution,[status(thm)],[1834, 760, 1720, 1817])).
% 19.01/19.28 tff(1836,plain,
% 19.01/19.28 (((~![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)))),
% 19.01/19.28 inference(rewrite,[status(thm)],[])).
% 19.01/19.28 tff(1837,plain,
% 19.01/19.28 ((~![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)))),
% 19.01/19.28 inference(quant_inst,[status(thm)],[])).
% 19.01/19.28 tff(1838,plain,
% 19.01/19.28 ((~![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))),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 19.01/19.28 tff(1839,plain,
% 19.01/19.28 (~m_main_v_state2(s17, c_t2)),
% 19.01/19.28 inference(unit_resolution,[status(thm)],[1838, 10, 1767])).
% 19.01/19.28 tff(1840,plain,
% 19.01/19.28 (((~![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)))),
% 19.01/19.28 inference(rewrite,[status(thm)],[])).
% 19.01/19.28 tff(1841,plain,
% 19.01/19.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 19.01/19.28 inference(quant_inst,[status(thm)],[])).
% 19.01/19.28 tff(1842,plain,
% 19.01/19.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 19.01/19.28 tff(1843,plain,
% 19.01/19.28 (~node1(s17)),
% 19.01/19.28 inference(unit_resolution,[status(thm)],[1842, 206, 1839])).
% 19.01/19.28 tff(1844,plain,
% 19.01/19.28 (succ(s17, s18) <=> succ(s17, s18)),
% 19.01/19.28 inference(rewrite,[status(thm)],[])).
% 19.01/19.28 tff(1845,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 19.01/19.28 tff(1846,plain,
% 19.01/19.28 (succ(s17, s18)),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 19.01/19.28 tff(1847,plain,
% 19.01/19.28 (((~![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))),
% 19.01/19.28 inference(rewrite,[status(thm)],[])).
% 19.01/19.28 tff(1848,plain,
% 19.01/19.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 19.01/19.28 inference(quant_inst,[status(thm)],[])).
% 19.01/19.28 tff(1849,plain,
% 19.01/19.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 19.01/19.28 tff(1850,plain,
% 19.01/19.28 (trans(s17, s18)),
% 19.01/19.28 inference(unit_resolution,[status(thm)],[1849, 1846, 57])).
% 19.01/19.28 tff(1851,plain,
% 19.01/19.28 (((~![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))),
% 19.01/19.28 inference(rewrite,[status(thm)],[])).
% 19.01/19.28 tff(1852,plain,
% 19.01/19.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 19.01/19.28 inference(quant_inst,[status(thm)],[])).
% 19.01/19.28 tff(1853,plain,
% 19.01/19.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 19.01/19.28 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 19.01/19.28 tff(1854,plain,
% 19.01/19.28 (node7(s17, s18)),
% 19.01/19.28 inference(unit_resolution,[status(thm)],[1853, 217, 1850])).
% 19.01/19.28 tff(1855,plain,
% 19.01/19.28 (((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1856,plain,
% 19.09/19.28 (((~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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1857,plain,
% 19.09/19.28 (((~![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))))),
% 19.09/19.28 inference(monotonicity,[status(thm)],[1856])).
% 19.09/19.28 tff(1858,plain,
% 19.09/19.28 (((~![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)))),
% 19.09/19.28 inference(transitivity,[status(thm)],[1857, 1855])).
% 19.09/19.28 tff(1859,plain,
% 19.09/19.28 ((~![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))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1860,plain,
% 19.09/19.28 ((~![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))),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 19.09/19.28 tff(1861,plain,
% 19.09/19.28 ((~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)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1860, 965, 1854])).
% 19.09/19.28 tff(1862,plain,
% 19.09/19.28 (m_main_v_state1(s18, c_c1)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1861, 1843, 1767, 1835, 1828, 1775])).
% 19.09/19.28 tff(1863,plain,
% 19.09/19.28 (((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1864,plain,
% 19.09/19.28 ((~![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)))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1865,plain,
% 19.09/19.28 ((~![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))),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 19.09/19.28 tff(1866,plain,
% 19.09/19.28 (~m_main_v_state1(s18, c_t1)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1865, 289, 1862])).
% 19.09/19.28 tff(1867,plain,
% 19.09/19.28 (((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1868,plain,
% 19.09/19.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1869,plain,
% 19.09/19.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 19.09/19.28 tff(1870,plain,
% 19.09/19.28 (~node5(s18)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1869, 300, 1866])).
% 19.09/19.28 tff(1871,plain,
% 19.09/19.28 (((~![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))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1872,plain,
% 19.09/19.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1873,plain,
% 19.09/19.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 19.09/19.28 tff(1874,plain,
% 19.09/19.28 (node14(s17, s18)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1873, 130, 1850])).
% 19.09/19.28 tff(1875,plain,
% 19.09/19.28 (((~![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(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))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1876,plain,
% 19.09/19.28 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1877,plain,
% 19.09/19.28 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 19.09/19.28 tff(1878,plain,
% 19.09/19.28 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1877, 893, 1874])).
% 19.09/19.28 tff(1879,plain,
% 19.09/19.28 (m_main_v_state2(s18, c_t2)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1878, 1835, 1767])).
% 19.09/19.28 tff(1880,plain,
% 19.09/19.28 (((~![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)))) <=> ((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1881,plain,
% 19.09/19.28 ((~![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)))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1882,plain,
% 19.09/19.28 ((~![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))),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 19.09/19.28 tff(1883,plain,
% 19.09/19.28 (~m_main_v_state2(s18, c_n2)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1882, 10, 1879])).
% 19.09/19.28 tff(1884,plain,
% 19.09/19.28 (((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1885,plain,
% 19.09/19.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1886,plain,
% 19.09/19.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 19.09/19.28 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 19.09/19.28 tff(1887,plain,
% 19.09/19.28 (~node4(s18)),
% 19.09/19.28 inference(unit_resolution,[status(thm)],[1886, 162, 1883])).
% 19.09/19.28 tff(1888,plain,
% 19.09/19.28 (((~![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)))),
% 19.09/19.28 inference(rewrite,[status(thm)],[])).
% 19.09/19.28 tff(1889,plain,
% 19.09/19.28 ((~![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)))),
% 19.09/19.28 inference(quant_inst,[status(thm)],[])).
% 19.09/19.28 tff(1890,plain,
% 19.09/19.28 ((~![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))),
% 19.09/19.29 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 19.09/19.29 tff(1891,plain,
% 19.09/19.29 (~m_main_v_state2(s18, c_c2)),
% 19.09/19.29 inference(unit_resolution,[status(thm)],[1890, 173, 1879])).
% 19.09/19.29 tff(1892,plain,
% 19.09/19.29 (((~![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)))),
% 19.09/19.29 inference(rewrite,[status(thm)],[])).
% 19.09/19.29 tff(1893,plain,
% 19.09/19.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 19.09/19.29 inference(quant_inst,[status(thm)],[])).
% 19.09/19.29 tff(1894,plain,
% 19.09/19.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 19.09/19.29 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 19.09/19.29 tff(1895,plain,
% 19.09/19.29 (~node3(s18)),
% 19.09/19.29 inference(unit_resolution,[status(thm)],[1894, 184, 1891])).
% 19.09/19.29 tff(1896,plain,
% 19.09/19.29 (((~![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)))),
% 19.09/19.29 inference(rewrite,[status(thm)],[])).
% 19.09/19.29 tff(1897,plain,
% 19.09/19.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 19.09/19.29 inference(quant_inst,[status(thm)],[])).
% 19.09/19.29 tff(1898,plain,
% 19.09/19.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 19.09/19.29 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 19.09/19.29 tff(1899,plain,
% 19.09/19.29 (~node2(s18)),
% 19.09/19.29 inference(unit_resolution,[status(thm)],[1898, 195, 1883])).
% 19.09/19.29 tff(1900,plain,
% 19.09/19.29 (((~![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)))),
% 19.09/19.29 inference(rewrite,[status(thm)],[])).
% 19.09/19.29 tff(1901,plain,
% 19.09/19.29 ((~![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)))),
% 19.09/19.29 inference(quant_inst,[status(thm)],[])).
% 19.09/19.29 tff(1902,plain,
% 19.09/19.29 ((~![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))),
% 19.09/19.29 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 19.09/19.29 tff(1903,plain,
% 19.09/19.29 (~m_main_v_state1(s18, c_n1)),
% 19.09/19.29 inference(unit_resolution,[status(thm)],[1902, 449, 1862])).
% 19.09/19.29 tff(1904,plain,
% 19.09/19.29 (((~![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)))),
% 19.09/19.29 inference(rewrite,[status(thm)],[])).
% 19.09/19.29 tff(1905,plain,
% 19.09/19.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 19.09/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1906,plain,
% 19.11/19.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 19.11/19.29 tff(1907,plain,
% 19.11/19.29 (~node1(s18)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1906, 249, 1903])).
% 19.11/19.29 tff(1908,plain,
% 19.11/19.29 (succ(s18, s19) <=> succ(s18, s19)),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1909,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 19.11/19.29 tff(1910,plain,
% 19.11/19.29 (succ(s18, s19)),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 19.11/19.29 tff(1911,plain,
% 19.11/19.29 (((~![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))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1912,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 19.11/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1913,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 19.11/19.29 tff(1914,plain,
% 19.11/19.29 (trans(s18, s19)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1913, 1910, 57])).
% 19.11/19.29 tff(1915,plain,
% 19.11/19.29 (((~![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))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1916,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 19.11/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1917,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 19.11/19.29 tff(1918,plain,
% 19.11/19.29 (node7(s18, s19)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1917, 217, 1914])).
% 19.11/19.29 tff(1919,plain,
% 19.11/19.29 (((~![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)))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1920,plain,
% 19.11/19.29 (((~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)))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1921,plain,
% 19.11/19.29 (((~![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))))),
% 19.11/19.29 inference(monotonicity,[status(thm)],[1920])).
% 19.11/19.29 tff(1922,plain,
% 19.11/19.29 (((~![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)))),
% 19.11/19.29 inference(transitivity,[status(thm)],[1921, 1919])).
% 19.11/19.29 tff(1923,plain,
% 19.11/19.29 ((~![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))),
% 19.11/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1924,plain,
% 19.11/19.29 ((~![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))),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 19.11/19.29 tff(1925,plain,
% 19.11/19.29 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1924, 478, 1918])).
% 19.11/19.29 tff(1926,plain,
% 19.11/19.29 (m_main_v_state1(s19, c_n1)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1925, 1907, 1862, 1899, 1895, 1887, 1870])).
% 19.11/19.29 tff(1927,plain,
% 19.11/19.29 (((~![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)))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1928,plain,
% 19.11/19.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 19.11/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1929,plain,
% 19.11/19.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 19.11/19.29 tff(1930,plain,
% 19.11/19.29 (~node15(s17)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1929, 21, 1839])).
% 19.11/19.29 tff(1931,plain,
% 19.11/19.29 (((~![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))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1932,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 19.11/19.29 inference(quant_inst,[status(thm)],[])).
% 19.11/19.29 tff(1933,plain,
% 19.11/19.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 19.11/19.29 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 19.11/19.29 tff(1934,plain,
% 19.11/19.29 (node18(s17, s18)),
% 19.11/19.29 inference(unit_resolution,[status(thm)],[1933, 71, 1850])).
% 19.11/19.29 tff(1935,plain,
% 19.11/19.29 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1936,plain,
% 19.11/19.29 (((~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))),
% 19.11/19.29 inference(rewrite,[status(thm)],[])).
% 19.11/19.29 tff(1937,plain,
% 19.11/19.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 19.11/19.30 inference(monotonicity,[status(thm)],[1936])).
% 19.11/19.30 tff(1938,plain,
% 19.11/19.30 (((~![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(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))),
% 19.11/19.30 inference(transitivity,[status(thm)],[1937, 1935])).
% 19.11/19.30 tff(1939,plain,
% 19.11/19.30 ((~![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(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1940,plain,
% 19.11/19.30 ((~![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(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)),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 19.11/19.30 tff(1941,plain,
% 19.11/19.30 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1940, 863, 1934])).
% 19.11/19.30 tff(1942,plain,
% 19.11/19.30 (m_main_v_turn(s18, c_1)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1941, 1930, 1767, 1835])).
% 19.11/19.30 tff(1943,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1944,plain,
% 19.11/19.30 ((~![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)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1945,plain,
% 19.11/19.30 ((~![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))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 19.11/19.30 tff(1946,plain,
% 19.11/19.30 (~m_main_v_turn(s18, c_2)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1945, 322, 1942])).
% 19.11/19.30 tff(1947,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1948,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1949,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 19.11/19.30 tff(1950,plain,
% 19.11/19.30 (~node12(s18)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1949, 350, 1946])).
% 19.11/19.30 tff(1951,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1952,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1953,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 19.11/19.30 tff(1954,plain,
% 19.11/19.30 (~node8(s18)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1953, 383, 1883])).
% 19.11/19.30 tff(1955,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1956,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1957,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 19.11/19.30 tff(1958,plain,
% 19.11/19.30 (~node9(s18)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1957, 311, 1883])).
% 19.11/19.30 tff(1959,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1960,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1961,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 19.11/19.30 tff(1962,plain,
% 19.11/19.30 (~node10(s18)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1961, 372, 1883])).
% 19.11/19.30 tff(1963,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1964,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1965,plain,
% 19.11/19.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 19.11/19.30 tff(1966,plain,
% 19.11/19.30 (~node11(s18)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1965, 361, 1903])).
% 19.11/19.30 tff(1967,plain,
% 19.11/19.30 (((~![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))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1968,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1969,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 19.11/19.30 tff(1970,plain,
% 19.11/19.30 (node14(s18, s19)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1969, 130, 1914])).
% 19.11/19.30 tff(1971,plain,
% 19.11/19.30 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1972,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1973,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 19.11/19.30 tff(1974,plain,
% 19.11/19.30 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1973, 401, 1970])).
% 19.11/19.30 tff(1975,plain,
% 19.11/19.30 (node13(s18, s19)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1974, 1966, 1891, 1962, 1958, 1954, 1950])).
% 19.11/19.30 tff(1976,plain,
% 19.11/19.30 (((~![V: $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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1977,plain,
% 19.11/19.30 (((~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)))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1978,plain,
% 19.11/19.30 (((~![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))))),
% 19.11/19.30 inference(monotonicity,[status(thm)],[1977])).
% 19.11/19.30 tff(1979,plain,
% 19.11/19.30 (((~![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)))),
% 19.11/19.30 inference(transitivity,[status(thm)],[1978, 1976])).
% 19.11/19.30 tff(1980,plain,
% 19.11/19.30 ((~![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))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1981,plain,
% 19.11/19.30 ((~![V: $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))),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 19.11/19.30 tff(1982,plain,
% 19.11/19.30 (m_main_v_state2(s19, c_t2)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1981, 563, 1879, 1975])).
% 19.11/19.30 tff(1983,plain,
% 19.11/19.30 (succ(s19, s20) <=> succ(s19, s20)),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1984,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 19.11/19.30 tff(1985,plain,
% 19.11/19.30 (succ(s19, s20)),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 19.11/19.30 tff(1986,plain,
% 19.11/19.30 (((~![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))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1987,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1988,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 19.11/19.30 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 19.11/19.30 tff(1989,plain,
% 19.11/19.30 (trans(s19, s20)),
% 19.11/19.30 inference(unit_resolution,[status(thm)],[1988, 1985, 57])).
% 19.11/19.30 tff(1990,plain,
% 19.11/19.30 (((~![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))),
% 19.11/19.30 inference(rewrite,[status(thm)],[])).
% 19.11/19.30 tff(1991,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 19.11/19.30 inference(quant_inst,[status(thm)],[])).
% 19.11/19.30 tff(1992,plain,
% 19.11/19.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 19.11/19.31 tff(1993,plain,
% 19.11/19.31 (node7(s19, s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[1992, 217, 1989])).
% 19.11/19.31 tff(1994,plain,
% 19.11/19.31 (((~![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(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))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(1995,plain,
% 19.11/19.31 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(1996,plain,
% 19.11/19.31 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 19.11/19.31 tff(1997,plain,
% 19.11/19.31 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[1996, 598, 1993])).
% 19.11/19.31 tff(1998,plain,
% 19.11/19.31 (m_main_v_state1(s20, c_t1)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[1997, 1982, 1926])).
% 19.11/19.31 tff(1999,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2000,plain,
% 19.11/19.31 ((~![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)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2001,plain,
% 19.11/19.31 ((~![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))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 19.11/19.31 tff(2002,plain,
% 19.11/19.31 (~m_main_v_state1(s20, c_n1)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2001, 35, 1998])).
% 19.11/19.31 tff(2003,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2004,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2005,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 19.11/19.31 tff(2006,plain,
% 19.11/19.31 (~node1(s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2005, 249, 2002])).
% 19.11/19.31 tff(2007,plain,
% 19.11/19.31 (((~![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))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2008,plain,
% 19.11/19.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2009,plain,
% 19.11/19.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 19.11/19.31 tff(2010,plain,
% 19.11/19.31 (node18(s19, s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2009, 71, 1989])).
% 19.11/19.31 tff(2011,plain,
% 19.11/19.31 (((~![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(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))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2012,plain,
% 19.11/19.31 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2013,plain,
% 19.11/19.31 ((~![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(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 19.11/19.31 tff(2014,plain,
% 19.11/19.31 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2013, 625, 2010])).
% 19.11/19.31 tff(2015,plain,
% 19.11/19.31 (m_main_v_turn(s20, c_2)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2014, 1982, 1926])).
% 19.11/19.31 tff(2016,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2017,plain,
% 19.11/19.31 ((~![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)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2018,plain,
% 19.11/19.31 ((~![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))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 19.11/19.31 tff(2019,plain,
% 19.11/19.31 (~m_main_v_turn(s20, c_1)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2018, 322, 2015])).
% 19.11/19.31 tff(2020,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2021,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2022,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 19.11/19.31 tff(2023,plain,
% 19.11/19.31 (~node5(s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2022, 641, 2019])).
% 19.11/19.31 tff(2024,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2025,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2026,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 19.11/19.31 tff(2027,plain,
% 19.11/19.31 (~node2(s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2026, 652, 2002])).
% 19.11/19.31 tff(2028,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2029,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2030,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 19.11/19.31 tff(2031,plain,
% 19.11/19.31 (~node3(s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2030, 663, 2002])).
% 19.11/19.31 tff(2032,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2033,plain,
% 19.11/19.31 ((~![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)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2034,plain,
% 19.11/19.31 ((~![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))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 19.11/19.31 tff(2035,plain,
% 19.11/19.31 (~m_main_v_state1(s20, c_c1)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2034, 289, 1998])).
% 19.11/19.31 tff(2036,plain,
% 19.11/19.31 (((~![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(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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2037,plain,
% 19.11/19.31 (((~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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2038,plain,
% 19.11/19.31 (((~![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))))),
% 19.11/19.31 inference(monotonicity,[status(thm)],[2037])).
% 19.11/19.31 tff(2039,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(transitivity,[status(thm)],[2038, 2036])).
% 19.11/19.31 tff(2040,plain,
% 19.11/19.31 ((~![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)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2041,plain,
% 19.11/19.31 ((~![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(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 19.11/19.31 tff(2042,plain,
% 19.11/19.31 (~m_main_v_state2(s19, c_n2)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2041, 416, 1883, 1975])).
% 19.11/19.31 tff(2043,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2044,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2045,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 19.11/19.31 tff(2046,plain,
% 19.11/19.31 (~node9(s19)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2045, 311, 2042])).
% 19.11/19.31 tff(2047,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2048,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2049,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 19.11/19.31 tff(2050,plain,
% 19.11/19.31 (~node10(s19)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2049, 372, 2042])).
% 19.11/19.31 tff(2051,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2052,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2053,plain,
% 19.11/19.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 19.11/19.31 tff(2054,plain,
% 19.11/19.31 (~node8(s19)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2053, 383, 2042])).
% 19.11/19.31 tff(2055,plain,
% 19.11/19.31 (((~![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))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2056,plain,
% 19.11/19.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2057,plain,
% 19.11/19.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 19.11/19.31 tff(2058,plain,
% 19.11/19.31 (node14(s19, s20)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2057, 130, 1989])).
% 19.11/19.31 tff(2059,plain,
% 19.11/19.31 (((~![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(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))),
% 19.11/19.31 inference(rewrite,[status(thm)],[])).
% 19.11/19.31 tff(2060,plain,
% 19.11/19.31 ((~![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(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))),
% 19.11/19.31 inference(quant_inst,[status(thm)],[])).
% 19.11/19.31 tff(2061,plain,
% 19.11/19.31 ((~![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(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)),
% 19.11/19.31 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 19.11/19.31 tff(2062,plain,
% 19.11/19.31 ((~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)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2061, 704, 2058])).
% 19.11/19.31 tff(2063,plain,
% 19.11/19.31 (m_main_v_state2(s20, c_c2)),
% 19.11/19.31 inference(unit_resolution,[status(thm)],[2062, 2054, 1926, 1982, 2050, 2046])).
% 19.11/19.31 tff(2064,plain,
% 19.11/19.31 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2065,plain,
% 19.11/19.32 ((~![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)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2066,plain,
% 19.11/19.32 ((~![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))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 19.11/19.32 tff(2067,plain,
% 19.11/19.32 (~m_main_v_state2(s20, c_n2)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2066, 716, 2063])).
% 19.11/19.32 tff(2068,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2069,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2070,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 19.11/19.32 tff(2071,plain,
% 19.11/19.32 (~node4(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2070, 162, 2067])).
% 19.11/19.32 tff(2072,plain,
% 19.11/19.32 (succ(s20, s21) <=> succ(s20, s21)),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2073,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 19.11/19.32 tff(2074,plain,
% 19.11/19.32 (succ(s20, s21)),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 19.11/19.32 tff(2075,plain,
% 19.11/19.32 (((~![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))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2076,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2077,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 19.11/19.32 tff(2078,plain,
% 19.11/19.32 (trans(s20, s21)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2077, 2074, 57])).
% 19.11/19.32 tff(2079,plain,
% 19.11/19.32 (((~![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))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2080,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2081,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 19.11/19.32 tff(2082,plain,
% 19.11/19.32 (node7(s20, s21)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2081, 217, 2078])).
% 19.11/19.32 tff(2083,plain,
% 19.11/19.32 (((~![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(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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2084,plain,
% 19.11/19.32 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2085,plain,
% 19.11/19.32 ((~![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(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 19.11/19.32 tff(2086,plain,
% 19.11/19.32 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2085, 745, 2082])).
% 19.11/19.32 tff(2087,plain,
% 19.11/19.32 (node6(s20, s21)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2086, 2071, 2035, 2031, 2027, 2023, 2006])).
% 19.11/19.32 tff(2088,plain,
% 19.11/19.32 (((~![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(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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2089,plain,
% 19.11/19.32 (((~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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2090,plain,
% 19.11/19.32 (((~![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))))),
% 19.11/19.32 inference(monotonicity,[status(thm)],[2089])).
% 19.11/19.32 tff(2091,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(transitivity,[status(thm)],[2090, 2088])).
% 19.11/19.32 tff(2092,plain,
% 19.11/19.32 ((~![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))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2093,plain,
% 19.11/19.32 ((~![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(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 19.11/19.32 tff(2094,plain,
% 19.11/19.32 (m_main_v_state1(s21, c_t1)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2093, 760, 1998, 2087])).
% 19.11/19.32 tff(2095,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2096,plain,
% 19.11/19.32 ((~![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)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2097,plain,
% 19.11/19.32 ((~![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))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 19.11/19.32 tff(2098,plain,
% 19.11/19.32 (~m_main_v_state2(s20, c_t2)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2097, 173, 2063])).
% 19.11/19.32 tff(2099,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2100,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2101,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 19.11/19.32 tff(2102,plain,
% 19.11/19.32 (~node12(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2101, 778, 2098])).
% 19.11/19.32 tff(2103,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2104,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2105,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 19.11/19.32 tff(2106,plain,
% 19.11/19.32 (~node11(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2105, 361, 2002])).
% 19.11/19.32 tff(2107,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2108,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2109,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 19.11/19.32 tff(2110,plain,
% 19.11/19.32 (~node10(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2109, 793, 2035])).
% 19.11/19.32 tff(2111,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2112,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2113,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 19.11/19.32 tff(2114,plain,
% 19.11/19.32 (~node9(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2113, 804, 2002])).
% 19.11/19.32 tff(2115,plain,
% 19.11/19.32 (((~![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)))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2116,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2117,plain,
% 19.11/19.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 19.11/19.32 tff(2118,plain,
% 19.11/19.32 (~node8(s20)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2117, 383, 2067])).
% 19.11/19.32 tff(2119,plain,
% 19.11/19.32 (((~![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))),
% 19.11/19.32 inference(rewrite,[status(thm)],[])).
% 19.11/19.32 tff(2120,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 19.11/19.32 inference(quant_inst,[status(thm)],[])).
% 19.11/19.32 tff(2121,plain,
% 19.11/19.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 19.11/19.32 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 19.11/19.32 tff(2122,plain,
% 19.11/19.32 (node14(s20, s21)),
% 19.11/19.32 inference(unit_resolution,[status(thm)],[2121, 130, 2078])).
% 19.11/19.32 tff(2123,plain,
% 19.11/19.32 (((~![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(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)))),
% 19.11/19.33 inference(rewrite,[status(thm)],[])).
% 19.11/19.33 tff(2124,plain,
% 19.11/19.33 (((~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)))),
% 19.11/19.33 inference(rewrite,[status(thm)],[])).
% 19.11/19.33 tff(2125,plain,
% 19.11/19.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.11/19.33 inference(monotonicity,[status(thm)],[2124])).
% 19.11/19.33 tff(2126,plain,
% 19.11/19.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.11/19.33 inference(transitivity,[status(thm)],[2125, 2123])).
% 19.11/19.33 tff(2127,plain,
% 19.11/19.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))),
% 19.11/19.33 inference(quant_inst,[status(thm)],[])).
% 19.11/19.33 tff(2128,plain,
% 19.11/19.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))),
% 19.11/19.33 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 19.11/19.33 tff(2129,plain,
% 19.11/19.33 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 19.11/19.33 inference(unit_resolution,[status(thm)],[2128, 826, 2122])).
% 19.11/19.33 tff(2130,plain,
% 19.11/19.33 (m_main_v_state2(s21, c_n2)),
% 19.11/19.33 inference(unit_resolution,[status(thm)],[2129, 2118, 2063, 2114, 2110, 2106, 2102])).
% 19.11/19.33 tff(2131,plain,
% 19.11/19.33 (((~![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)))),
% 19.11/19.33 inference(rewrite,[status(thm)],[])).
% 19.11/19.33 tff(2132,plain,
% 19.11/19.33 ((~![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)))),
% 19.11/19.33 inference(quant_inst,[status(thm)],[])).
% 19.11/19.33 tff(2133,plain,
% 19.15/19.33 ((~![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))),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 19.15/19.33 tff(2134,plain,
% 19.15/19.33 (~m_main_v_state2(s21, c_t2)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2133, 10, 2130])).
% 19.15/19.33 tff(2135,plain,
% 19.15/19.33 (((~![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)))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2136,plain,
% 19.15/19.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2137,plain,
% 19.15/19.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 19.15/19.33 tff(2138,plain,
% 19.15/19.33 (~node15(s21)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2137, 21, 2134])).
% 19.15/19.33 tff(2139,plain,
% 19.15/19.33 (succ(s21, s22) <=> succ(s21, s22)),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2140,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 19.15/19.33 tff(2141,plain,
% 19.15/19.33 (succ(s21, s22)),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 19.15/19.33 tff(2142,plain,
% 19.15/19.33 (((~![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))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2143,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2144,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 19.15/19.33 tff(2145,plain,
% 19.15/19.33 (trans(s21, s22)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2144, 2141, 57])).
% 19.15/19.33 tff(2146,plain,
% 19.15/19.33 (((~![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))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2147,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2148,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 19.15/19.33 tff(2149,plain,
% 19.15/19.33 (node18(s21, s22)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2148, 71, 2145])).
% 19.15/19.33 tff(2150,plain,
% 19.15/19.33 (((~![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(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))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2151,plain,
% 19.15/19.33 (((~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))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2152,plain,
% 19.15/19.33 (((~![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(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)))),
% 19.15/19.33 inference(monotonicity,[status(thm)],[2151])).
% 19.15/19.33 tff(2153,plain,
% 19.15/19.33 (((~![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(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))),
% 19.15/19.33 inference(transitivity,[status(thm)],[2152, 2150])).
% 19.15/19.33 tff(2154,plain,
% 19.15/19.33 ((~![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(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2155,plain,
% 19.15/19.33 ((~![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(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)),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 19.15/19.33 tff(2156,plain,
% 19.15/19.33 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2155, 863, 2149])).
% 19.15/19.33 tff(2157,plain,
% 19.15/19.33 (m_main_v_turn(s22, c_1)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2156, 2138, 2130, 2094])).
% 19.15/19.33 tff(2158,plain,
% 19.15/19.33 (((~![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)))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2159,plain,
% 19.15/19.33 ((~![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)))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2160,plain,
% 19.15/19.33 ((~![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))),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 19.15/19.33 tff(2161,plain,
% 19.15/19.33 (~m_main_v_turn(s22, c_2)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2160, 322, 2157])).
% 19.15/19.33 tff(2162,plain,
% 19.15/19.33 (((~![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)))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2163,plain,
% 19.15/19.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2164,plain,
% 19.15/19.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 19.15/19.33 tff(2165,plain,
% 19.15/19.33 (~node12(s22)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2164, 350, 2161])).
% 19.15/19.33 tff(2166,plain,
% 19.15/19.33 (((~![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))),
% 19.15/19.33 inference(rewrite,[status(thm)],[])).
% 19.15/19.33 tff(2167,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 19.15/19.33 inference(quant_inst,[status(thm)],[])).
% 19.15/19.33 tff(2168,plain,
% 19.15/19.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 19.15/19.33 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 19.15/19.33 tff(2169,plain,
% 19.15/19.33 (node14(s21, s22)),
% 19.15/19.33 inference(unit_resolution,[status(thm)],[2168, 130, 2145])).
% 19.15/19.33 tff(2170,plain,
% 19.15/19.33 (((~![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(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))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2171,plain,
% 19.16/19.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2172,plain,
% 19.16/19.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 19.16/19.34 tff(2173,plain,
% 19.16/19.34 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2172, 893, 2169])).
% 19.16/19.34 tff(2174,plain,
% 19.16/19.34 (m_main_v_state2(s22, c_t2)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2173, 2094, 2130])).
% 19.16/19.34 tff(2175,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2176,plain,
% 19.16/19.34 ((~![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)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2177,plain,
% 19.16/19.34 ((~![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))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 19.16/19.34 tff(2178,plain,
% 19.16/19.34 (~m_main_v_state2(s22, c_n2)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2177, 10, 2174])).
% 19.16/19.34 tff(2179,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2180,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2181,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 19.16/19.34 tff(2182,plain,
% 19.16/19.34 (~node8(s22)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2181, 383, 2178])).
% 19.16/19.34 tff(2183,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2184,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2185,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 19.16/19.34 tff(2186,plain,
% 19.16/19.34 (~node9(s22)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2185, 311, 2178])).
% 19.16/19.34 tff(2187,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2188,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2189,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 19.16/19.34 tff(2190,plain,
% 19.16/19.34 (~node10(s22)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2189, 372, 2178])).
% 19.16/19.34 tff(2191,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2192,plain,
% 19.16/19.34 ((~![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)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2193,plain,
% 19.16/19.34 ((~![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))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 19.16/19.34 tff(2194,plain,
% 19.16/19.34 (~m_main_v_state2(s22, c_c2)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2193, 173, 2174])).
% 19.16/19.34 tff(2195,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2196,plain,
% 19.16/19.34 ((~![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)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2197,plain,
% 19.16/19.34 ((~![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))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 19.16/19.34 tff(2198,plain,
% 19.16/19.34 (~m_main_v_state2(s21, c_c2)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2197, 716, 2130])).
% 19.16/19.34 tff(2199,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2200,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2201,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 19.16/19.34 tff(2202,plain,
% 19.16/19.34 (~node3(s21)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2201, 184, 2198])).
% 19.16/19.34 tff(2203,plain,
% 19.16/19.34 (((~![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(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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2204,plain,
% 19.16/19.34 (((~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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2205,plain,
% 19.16/19.34 (((~![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))))),
% 19.16/19.34 inference(monotonicity,[status(thm)],[2204])).
% 19.16/19.34 tff(2206,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(transitivity,[status(thm)],[2205, 2203])).
% 19.16/19.34 tff(2207,plain,
% 19.16/19.34 ((~![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)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2208,plain,
% 19.16/19.34 ((~![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(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 19.16/19.34 tff(2209,plain,
% 19.16/19.34 (~m_main_v_state1(s21, c_n1)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2208, 936, 2002, 2087])).
% 19.16/19.34 tff(2210,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2211,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2212,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 19.16/19.34 tff(2213,plain,
% 19.16/19.34 (~node2(s21)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2212, 652, 2209])).
% 19.16/19.34 tff(2214,plain,
% 19.16/19.34 (((~![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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2215,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2216,plain,
% 19.16/19.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 19.16/19.34 tff(2217,plain,
% 19.16/19.34 (~node1(s21)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2216, 206, 2134])).
% 19.16/19.34 tff(2218,plain,
% 19.16/19.34 (((~![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))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2219,plain,
% 19.16/19.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 19.16/19.34 inference(quant_inst,[status(thm)],[])).
% 19.16/19.34 tff(2220,plain,
% 19.16/19.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 19.16/19.34 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 19.16/19.34 tff(2221,plain,
% 19.16/19.34 (node7(s21, s22)),
% 19.16/19.34 inference(unit_resolution,[status(thm)],[2220, 217, 2145])).
% 19.16/19.34 tff(2222,plain,
% 19.16/19.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.16/19.34 inference(rewrite,[status(thm)],[])).
% 19.16/19.34 tff(2223,plain,
% 19.16/19.34 (((~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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2224,plain,
% 19.16/19.35 (((~![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(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))))),
% 19.16/19.35 inference(monotonicity,[status(thm)],[2223])).
% 19.16/19.35 tff(2225,plain,
% 19.16/19.35 (((~![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(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)))),
% 19.16/19.35 inference(transitivity,[status(thm)],[2224, 2222])).
% 19.16/19.35 tff(2226,plain,
% 19.16/19.35 ((~![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(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))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2227,plain,
% 19.16/19.35 ((~![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(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))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 19.16/19.35 tff(2228,plain,
% 19.16/19.35 ((~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)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2227, 965, 2221])).
% 19.16/19.35 tff(2229,plain,
% 19.16/19.35 (m_main_v_state1(s22, c_c1)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2228, 2217, 2130, 2094, 2213, 2202])).
% 19.16/19.35 tff(2230,plain,
% 19.16/19.35 (((~![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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2231,plain,
% 19.16/19.35 ((~![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)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2232,plain,
% 19.16/19.35 ((~![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))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 19.16/19.35 tff(2233,plain,
% 19.16/19.35 (~m_main_v_state1(s22, c_n1)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2232, 449, 2229])).
% 19.16/19.35 tff(2234,plain,
% 19.16/19.35 (((~![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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2235,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2236,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 19.16/19.35 tff(2237,plain,
% 19.16/19.35 (~node11(s22)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2236, 361, 2233])).
% 19.16/19.35 tff(2238,plain,
% 19.16/19.35 (succ(s22, s23) <=> succ(s22, s23)),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2239,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 19.16/19.35 tff(2240,plain,
% 19.16/19.35 (succ(s22, s23)),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 19.16/19.35 tff(2241,plain,
% 19.16/19.35 (((~![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))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2242,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2243,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 19.16/19.35 tff(2244,plain,
% 19.16/19.35 (trans(s22, s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2243, 2240, 57])).
% 19.16/19.35 tff(2245,plain,
% 19.16/19.35 (((~![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))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2246,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2247,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 19.16/19.35 tff(2248,plain,
% 19.16/19.35 (node14(s22, s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2247, 130, 2244])).
% 19.16/19.35 tff(2249,plain,
% 19.16/19.35 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2250,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2251,plain,
% 19.16/19.35 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 19.16/19.35 tff(2252,plain,
% 19.16/19.35 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2251, 401, 2248])).
% 19.16/19.35 tff(2253,plain,
% 19.16/19.35 (node13(s22, s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2252, 2237, 2194, 2190, 2186, 2182, 2165])).
% 19.16/19.35 tff(2254,plain,
% 19.16/19.35 (((~![V: $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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2255,plain,
% 19.16/19.35 (((~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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2256,plain,
% 19.16/19.35 (((~![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))))),
% 19.16/19.35 inference(monotonicity,[status(thm)],[2255])).
% 19.16/19.35 tff(2257,plain,
% 19.16/19.35 (((~![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)))),
% 19.16/19.35 inference(transitivity,[status(thm)],[2256, 2254])).
% 19.16/19.35 tff(2258,plain,
% 19.16/19.35 ((~![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)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2259,plain,
% 19.16/19.35 ((~![V: $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))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 19.16/19.35 tff(2260,plain,
% 19.16/19.35 (~m_main_v_state2(s23, c_n2)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2259, 416, 2178, 2253])).
% 19.16/19.35 tff(2261,plain,
% 19.16/19.35 (((~![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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2262,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2263,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 19.16/19.35 tff(2264,plain,
% 19.16/19.35 (~node9(s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2263, 311, 2260])).
% 19.16/19.35 tff(2265,plain,
% 19.16/19.35 (((~![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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2266,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 19.16/19.35 inference(quant_inst,[status(thm)],[])).
% 19.16/19.35 tff(2267,plain,
% 19.16/19.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 19.16/19.35 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 19.16/19.35 tff(2268,plain,
% 19.16/19.35 (~node10(s23)),
% 19.16/19.35 inference(unit_resolution,[status(thm)],[2267, 372, 2260])).
% 19.16/19.35 tff(2269,plain,
% 19.16/19.35 (((~![V: $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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2270,plain,
% 19.16/19.35 (((~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)))),
% 19.16/19.35 inference(rewrite,[status(thm)],[])).
% 19.16/19.35 tff(2271,plain,
% 19.16/19.35 (((~![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))))),
% 19.16/19.36 inference(monotonicity,[status(thm)],[2270])).
% 19.16/19.36 tff(2272,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(transitivity,[status(thm)],[2271, 2269])).
% 19.16/19.36 tff(2273,plain,
% 19.16/19.36 ((~![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))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2274,plain,
% 19.16/19.36 ((~![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(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 19.16/19.36 tff(2275,plain,
% 19.16/19.36 (m_main_v_state2(s23, c_t2)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2274, 563, 2174, 2253])).
% 19.16/19.36 tff(2276,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2277,plain,
% 19.16/19.36 ((~![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)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2278,plain,
% 19.16/19.36 ((~![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))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 19.16/19.36 tff(2279,plain,
% 19.16/19.36 (~m_main_v_state1(s22, c_t1)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2278, 289, 2229])).
% 19.16/19.36 tff(2280,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2281,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2282,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 19.16/19.36 tff(2283,plain,
% 19.16/19.36 (~node5(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2282, 300, 2279])).
% 19.16/19.36 tff(2284,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2285,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2286,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 19.16/19.36 tff(2287,plain,
% 19.16/19.36 (~node4(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2286, 162, 2178])).
% 19.16/19.36 tff(2288,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2289,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2290,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 19.16/19.36 tff(2291,plain,
% 19.16/19.36 (~node3(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2290, 184, 2194])).
% 19.16/19.36 tff(2292,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2293,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2294,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 19.16/19.36 tff(2295,plain,
% 19.16/19.36 (~node2(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2294, 195, 2178])).
% 19.16/19.36 tff(2296,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2297,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2298,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 19.16/19.36 tff(2299,plain,
% 19.16/19.36 (~node1(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2298, 249, 2233])).
% 19.16/19.36 tff(2300,plain,
% 19.16/19.36 (((~![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))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2301,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2302,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 19.16/19.36 tff(2303,plain,
% 19.16/19.36 (node7(s22, s23)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2302, 217, 2244])).
% 19.16/19.36 tff(2304,plain,
% 19.16/19.36 (((~![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(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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2305,plain,
% 19.16/19.36 (((~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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2306,plain,
% 19.16/19.36 (((~![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(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))))),
% 19.16/19.36 inference(monotonicity,[status(thm)],[2305])).
% 19.16/19.36 tff(2307,plain,
% 19.16/19.36 (((~![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(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)))),
% 19.16/19.36 inference(transitivity,[status(thm)],[2306, 2304])).
% 19.16/19.36 tff(2308,plain,
% 19.16/19.36 ((~![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(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2309,plain,
% 19.16/19.36 ((~![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(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 19.16/19.36 tff(2310,plain,
% 19.16/19.36 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2309, 478, 2303])).
% 19.16/19.36 tff(2311,plain,
% 19.16/19.36 (m_main_v_state1(s23, c_n1)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2310, 2299, 2229, 2295, 2291, 2287, 2283])).
% 19.16/19.36 tff(2312,plain,
% 19.16/19.36 (((~![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)))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2313,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2314,plain,
% 19.16/19.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 19.16/19.36 tff(2315,plain,
% 19.16/19.36 (~node8(s23)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2314, 383, 2260])).
% 19.16/19.36 tff(2316,plain,
% 19.16/19.36 (succ(s23, s24) <=> succ(s23, s24)),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2317,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 19.16/19.36 tff(2318,plain,
% 19.16/19.36 (succ(s23, s24)),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 19.16/19.36 tff(2319,plain,
% 19.16/19.36 (((~![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))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2320,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2321,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 19.16/19.36 tff(2322,plain,
% 19.16/19.36 (trans(s23, s24)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2321, 2318, 57])).
% 19.16/19.36 tff(2323,plain,
% 19.16/19.36 (((~![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))),
% 19.16/19.36 inference(rewrite,[status(thm)],[])).
% 19.16/19.36 tff(2324,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 19.16/19.36 inference(quant_inst,[status(thm)],[])).
% 19.16/19.36 tff(2325,plain,
% 19.16/19.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 19.16/19.36 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 19.16/19.36 tff(2326,plain,
% 19.16/19.36 (node14(s23, s24)),
% 19.16/19.36 inference(unit_resolution,[status(thm)],[2325, 130, 2322])).
% 19.16/19.37 tff(2327,plain,
% 19.16/19.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2328,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2329,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 19.16/19.37 tff(2330,plain,
% 19.16/19.37 ((~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)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2329, 704, 2326])).
% 19.16/19.37 tff(2331,plain,
% 19.16/19.37 (m_main_v_state2(s24, c_c2)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2330, 2315, 2311, 2275, 2268, 2264])).
% 19.16/19.37 tff(2332,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2333,plain,
% 19.16/19.37 ((~![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)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2334,plain,
% 19.16/19.37 ((~![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))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 19.16/19.37 tff(2335,plain,
% 19.16/19.37 (~m_main_v_state2(s24, c_t2)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2334, 173, 2331])).
% 19.16/19.37 tff(2336,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2337,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2338,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 19.16/19.37 tff(2339,plain,
% 19.16/19.37 (~node12(s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2338, 778, 2335])).
% 19.16/19.37 tff(2340,plain,
% 19.16/19.37 (((~![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))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2341,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2342,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 19.16/19.37 tff(2343,plain,
% 19.16/19.37 (node7(s23, s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2342, 217, 2322])).
% 19.16/19.37 tff(2344,plain,
% 19.16/19.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2345,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2346,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1)),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 19.16/19.37 tff(2347,plain,
% 19.16/19.37 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2346, 598, 2343])).
% 19.16/19.37 tff(2348,plain,
% 19.16/19.37 (m_main_v_state1(s24, c_t1)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2347, 2275, 2311])).
% 19.16/19.37 tff(2349,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2350,plain,
% 19.16/19.37 ((~![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)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2351,plain,
% 19.16/19.37 ((~![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))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 19.16/19.37 tff(2352,plain,
% 19.16/19.37 (~m_main_v_state1(s24, c_n1)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2351, 35, 2348])).
% 19.16/19.37 tff(2353,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2354,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2355,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 19.16/19.37 tff(2356,plain,
% 19.16/19.37 (~node11(s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2355, 361, 2352])).
% 19.16/19.37 tff(2357,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2358,plain,
% 19.16/19.37 ((~![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)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2359,plain,
% 19.16/19.37 ((~![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))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 19.16/19.37 tff(2360,plain,
% 19.16/19.37 (~m_main_v_state1(s24, c_c1)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2359, 289, 2348])).
% 19.16/19.37 tff(2361,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2362,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2363,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 19.16/19.37 tff(2364,plain,
% 19.16/19.37 (~node10(s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2363, 793, 2360])).
% 19.16/19.37 tff(2365,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2366,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2367,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 19.16/19.37 tff(2368,plain,
% 19.16/19.37 (~node9(s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2367, 804, 2352])).
% 19.16/19.37 tff(2369,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2370,plain,
% 19.16/19.37 ((~![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)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2371,plain,
% 19.16/19.37 ((~![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))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 19.16/19.37 tff(2372,plain,
% 19.16/19.37 (~m_main_v_state2(s24, c_n2)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2371, 716, 2331])).
% 19.16/19.37 tff(2373,plain,
% 19.16/19.37 (((~![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)))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2374,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2375,plain,
% 19.16/19.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 19.16/19.37 tff(2376,plain,
% 19.16/19.37 (~node8(s24)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2375, 383, 2372])).
% 19.16/19.37 tff(2377,plain,
% 19.16/19.37 (succ(s24, s25) <=> succ(s24, s25)),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2378,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 19.16/19.37 tff(2379,plain,
% 19.16/19.37 (succ(s24, s25)),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 19.16/19.37 tff(2380,plain,
% 19.16/19.37 (((~![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))),
% 19.16/19.37 inference(rewrite,[status(thm)],[])).
% 19.16/19.37 tff(2381,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 19.16/19.37 inference(quant_inst,[status(thm)],[])).
% 19.16/19.37 tff(2382,plain,
% 19.16/19.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 19.16/19.37 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 19.16/19.37 tff(2383,plain,
% 19.16/19.37 (trans(s24, s25)),
% 19.16/19.37 inference(unit_resolution,[status(thm)],[2382, 2379, 57])).
% 19.16/19.37 tff(2384,plain,
% 19.16/19.37 (((~![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))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2385,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2386,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 19.16/19.38 tff(2387,plain,
% 19.16/19.38 (node14(s24, s25)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2386, 130, 2383])).
% 19.16/19.38 tff(2388,plain,
% 19.16/19.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2389,plain,
% 19.16/19.38 (((~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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2390,plain,
% 19.16/19.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.16/19.38 inference(monotonicity,[status(thm)],[2389])).
% 19.16/19.38 tff(2391,plain,
% 19.16/19.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.16/19.38 inference(transitivity,[status(thm)],[2390, 2388])).
% 19.16/19.38 tff(2392,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2393,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 19.16/19.38 tff(2394,plain,
% 19.16/19.38 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2393, 826, 2387])).
% 19.16/19.38 tff(2395,plain,
% 19.16/19.38 (m_main_v_state2(s25, c_n2)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2394, 2376, 2331, 2368, 2364, 2356, 2339])).
% 19.16/19.38 tff(2396,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2397,plain,
% 19.16/19.38 ((~![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)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2398,plain,
% 19.16/19.38 ((~![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))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 19.16/19.38 tff(2399,plain,
% 19.16/19.38 (~m_main_v_state2(s25, c_c2)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2398, 716, 2395])).
% 19.16/19.38 tff(2400,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2401,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2402,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 19.16/19.38 tff(2403,plain,
% 19.16/19.38 (~node3(s25)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2402, 184, 2399])).
% 19.16/19.38 tff(2404,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2405,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2406,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 19.16/19.38 tff(2407,plain,
% 19.16/19.38 (~node1(s24)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2406, 249, 2352])).
% 19.16/19.38 tff(2408,plain,
% 19.16/19.38 (((~![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))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2409,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2410,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 19.16/19.38 tff(2411,plain,
% 19.16/19.38 (node18(s23, s24)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2410, 71, 2322])).
% 19.16/19.38 tff(2412,plain,
% 19.16/19.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2413,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2414,plain,
% 19.16/19.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2)),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 19.16/19.38 tff(2415,plain,
% 19.16/19.38 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2414, 625, 2411])).
% 19.16/19.38 tff(2416,plain,
% 19.16/19.38 (m_main_v_turn(s24, c_2)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2415, 2275, 2311])).
% 19.16/19.38 tff(2417,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2418,plain,
% 19.16/19.38 ((~![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)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2419,plain,
% 19.16/19.38 ((~![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))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 19.16/19.38 tff(2420,plain,
% 19.16/19.38 (~m_main_v_turn(s24, c_1)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2419, 322, 2416])).
% 19.16/19.38 tff(2421,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2422,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2423,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 19.16/19.38 tff(2424,plain,
% 19.16/19.38 (~node5(s24)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2423, 641, 2420])).
% 19.16/19.38 tff(2425,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2426,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2427,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 19.16/19.38 tff(2428,plain,
% 19.16/19.38 (~node2(s24)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2427, 652, 2352])).
% 19.16/19.38 tff(2429,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2430,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2431,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 19.16/19.38 tff(2432,plain,
% 19.16/19.38 (~node3(s24)),
% 19.16/19.38 inference(unit_resolution,[status(thm)],[2431, 663, 2352])).
% 19.16/19.38 tff(2433,plain,
% 19.16/19.38 (((~![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)))),
% 19.16/19.38 inference(rewrite,[status(thm)],[])).
% 19.16/19.38 tff(2434,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 19.16/19.38 inference(quant_inst,[status(thm)],[])).
% 19.16/19.38 tff(2435,plain,
% 19.16/19.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 19.16/19.38 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 19.16/19.39 tff(2436,plain,
% 19.16/19.39 (~node4(s24)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2435, 162, 2372])).
% 19.16/19.39 tff(2437,plain,
% 19.16/19.39 (((~![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))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2438,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2439,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 19.16/19.39 tff(2440,plain,
% 19.16/19.39 (node7(s24, s25)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2439, 217, 2383])).
% 19.16/19.39 tff(2441,plain,
% 19.16/19.39 (((~![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(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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2442,plain,
% 19.16/19.39 ((~![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(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2443,plain,
% 19.16/19.39 ((~![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(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 19.16/19.39 tff(2444,plain,
% 19.16/19.39 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2443, 745, 2440])).
% 19.16/19.39 tff(2445,plain,
% 19.16/19.39 (node6(s24, s25)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2444, 2436, 2360, 2432, 2428, 2424, 2407])).
% 19.16/19.39 tff(2446,plain,
% 19.16/19.39 (((~![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(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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2447,plain,
% 19.16/19.39 (((~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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2448,plain,
% 19.16/19.39 (((~![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))))),
% 19.16/19.39 inference(monotonicity,[status(thm)],[2447])).
% 19.16/19.39 tff(2449,plain,
% 19.16/19.39 (((~![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)))),
% 19.16/19.39 inference(transitivity,[status(thm)],[2448, 2446])).
% 19.16/19.39 tff(2450,plain,
% 19.16/19.39 ((~![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)))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2451,plain,
% 19.16/19.39 ((~![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(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 19.16/19.39 tff(2452,plain,
% 19.16/19.39 (~m_main_v_state1(s25, c_n1)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2451, 936, 2352, 2445])).
% 19.16/19.39 tff(2453,plain,
% 19.16/19.39 (((~![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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2454,plain,
% 19.16/19.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2455,plain,
% 19.16/19.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 19.16/19.39 tff(2456,plain,
% 19.16/19.39 (~node2(s25)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2455, 652, 2452])).
% 19.16/19.39 tff(2457,plain,
% 19.16/19.39 (((~![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(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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2458,plain,
% 19.16/19.39 (((~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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2459,plain,
% 19.16/19.39 (((~![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))))),
% 19.16/19.39 inference(monotonicity,[status(thm)],[2458])).
% 19.16/19.39 tff(2460,plain,
% 19.16/19.39 (((~![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)))),
% 19.16/19.39 inference(transitivity,[status(thm)],[2459, 2457])).
% 19.16/19.39 tff(2461,plain,
% 19.16/19.39 ((~![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))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2462,plain,
% 19.16/19.39 ((~![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(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 19.16/19.39 tff(2463,plain,
% 19.16/19.39 (m_main_v_state1(s25, c_t1)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2462, 760, 2348, 2445])).
% 19.16/19.39 tff(2464,plain,
% 19.16/19.39 (((~![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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2465,plain,
% 19.16/19.39 ((~![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)))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2466,plain,
% 19.16/19.39 ((~![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))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 19.16/19.39 tff(2467,plain,
% 19.16/19.39 (~m_main_v_state2(s25, c_t2)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2466, 10, 2395])).
% 19.16/19.39 tff(2468,plain,
% 19.16/19.39 (((~![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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2469,plain,
% 19.16/19.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2470,plain,
% 19.16/19.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 19.16/19.39 tff(2471,plain,
% 19.16/19.39 (~node1(s25)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2470, 206, 2467])).
% 19.16/19.39 tff(2472,plain,
% 19.16/19.39 (succ(s25, s26) <=> succ(s25, s26)),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2473,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 19.16/19.39 tff(2474,plain,
% 19.16/19.39 (succ(s25, s26)),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 19.16/19.39 tff(2475,plain,
% 19.16/19.39 (((~![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))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2476,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2477,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 19.16/19.39 tff(2478,plain,
% 19.16/19.39 (trans(s25, s26)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2477, 2474, 57])).
% 19.16/19.39 tff(2479,plain,
% 19.16/19.39 (((~![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))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2480,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 19.16/19.39 inference(quant_inst,[status(thm)],[])).
% 19.16/19.39 tff(2481,plain,
% 19.16/19.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 19.16/19.39 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 19.16/19.39 tff(2482,plain,
% 19.16/19.39 (node7(s25, s26)),
% 19.16/19.39 inference(unit_resolution,[status(thm)],[2481, 217, 2478])).
% 19.16/19.39 tff(2483,plain,
% 19.16/19.39 (((~![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(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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2484,plain,
% 19.16/19.39 (((~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)))),
% 19.16/19.39 inference(rewrite,[status(thm)],[])).
% 19.16/19.39 tff(2485,plain,
% 19.16/19.39 (((~![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(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))))),
% 19.16/19.40 inference(monotonicity,[status(thm)],[2484])).
% 19.16/19.40 tff(2486,plain,
% 19.16/19.40 (((~![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(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)))),
% 19.16/19.40 inference(transitivity,[status(thm)],[2485, 2483])).
% 19.16/19.40 tff(2487,plain,
% 19.16/19.40 ((~![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(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))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2488,plain,
% 19.16/19.40 ((~![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(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))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 19.16/19.40 tff(2489,plain,
% 19.16/19.40 ((~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)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2488, 965, 2482])).
% 19.16/19.40 tff(2490,plain,
% 19.16/19.40 (m_main_v_state1(s26, c_c1)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2489, 2471, 2395, 2463, 2456, 2403])).
% 19.16/19.40 tff(2491,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2492,plain,
% 19.16/19.40 ((~![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)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2493,plain,
% 19.16/19.40 ((~![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))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 19.16/19.40 tff(2494,plain,
% 19.16/19.40 (~m_main_v_state1(s26, c_t1)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2493, 289, 2490])).
% 19.16/19.40 tff(2495,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2496,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2497,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 19.16/19.40 tff(2498,plain,
% 19.16/19.40 (~node5(s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2497, 300, 2494])).
% 19.16/19.40 tff(2499,plain,
% 19.16/19.40 (((~![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))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2500,plain,
% 19.16/19.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2501,plain,
% 19.16/19.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 19.16/19.40 tff(2502,plain,
% 19.16/19.40 (node14(s25, s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2501, 130, 2478])).
% 19.16/19.40 tff(2503,plain,
% 19.16/19.40 (((~![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(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))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2504,plain,
% 19.16/19.40 ((~![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(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2505,plain,
% 19.16/19.40 ((~![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(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2)),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 19.16/19.40 tff(2506,plain,
% 19.16/19.40 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2505, 893, 2502])).
% 19.16/19.40 tff(2507,plain,
% 19.16/19.40 (m_main_v_state2(s26, c_t2)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2506, 2463, 2395])).
% 19.16/19.40 tff(2508,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2509,plain,
% 19.16/19.40 ((~![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)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2510,plain,
% 19.16/19.40 ((~![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))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 19.16/19.40 tff(2511,plain,
% 19.16/19.40 (~m_main_v_state2(s26, c_n2)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2510, 10, 2507])).
% 19.16/19.40 tff(2512,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2513,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2514,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 19.16/19.40 tff(2515,plain,
% 19.16/19.40 (~node4(s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2514, 162, 2511])).
% 19.16/19.40 tff(2516,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2517,plain,
% 19.16/19.40 ((~![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)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2518,plain,
% 19.16/19.40 ((~![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))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 19.16/19.40 tff(2519,plain,
% 19.16/19.40 (~m_main_v_state2(s26, c_c2)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2518, 173, 2507])).
% 19.16/19.40 tff(2520,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2521,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2522,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 19.16/19.40 tff(2523,plain,
% 19.16/19.40 (~node3(s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2522, 184, 2519])).
% 19.16/19.40 tff(2524,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2525,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2526,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 19.16/19.40 tff(2527,plain,
% 19.16/19.40 (~node2(s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2526, 195, 2511])).
% 19.16/19.40 tff(2528,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2529,plain,
% 19.16/19.40 ((~![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)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2530,plain,
% 19.16/19.40 ((~![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))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 19.16/19.40 tff(2531,plain,
% 19.16/19.40 (~m_main_v_state1(s26, c_n1)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2530, 449, 2490])).
% 19.16/19.40 tff(2532,plain,
% 19.16/19.40 (((~![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)))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2533,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2534,plain,
% 19.16/19.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 19.16/19.40 tff(2535,plain,
% 19.16/19.40 (~node1(s26)),
% 19.16/19.40 inference(unit_resolution,[status(thm)],[2534, 249, 2531])).
% 19.16/19.40 tff(2536,plain,
% 19.16/19.40 (succ(s26, s27) <=> succ(s26, s27)),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2537,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 19.16/19.40 tff(2538,plain,
% 19.16/19.40 (succ(s26, s27)),
% 19.16/19.40 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 19.16/19.40 tff(2539,plain,
% 19.16/19.40 (((~![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))),
% 19.16/19.40 inference(rewrite,[status(thm)],[])).
% 19.16/19.40 tff(2540,plain,
% 19.16/19.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 19.16/19.40 inference(quant_inst,[status(thm)],[])).
% 19.16/19.40 tff(2541,plain,
% 19.16/19.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 19.22/19.41 tff(2542,plain,
% 19.22/19.41 (trans(s26, s27)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2541, 2538, 57])).
% 19.22/19.41 tff(2543,plain,
% 19.22/19.41 (((~![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))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2544,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2545,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 19.22/19.41 tff(2546,plain,
% 19.22/19.41 (node7(s26, s27)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2545, 217, 2542])).
% 19.22/19.41 tff(2547,plain,
% 19.22/19.41 (((~![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(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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2548,plain,
% 19.22/19.41 (((~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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2549,plain,
% 19.22/19.41 (((~![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(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))))),
% 19.22/19.41 inference(monotonicity,[status(thm)],[2548])).
% 19.22/19.41 tff(2550,plain,
% 19.22/19.41 (((~![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(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)))),
% 19.22/19.41 inference(transitivity,[status(thm)],[2549, 2547])).
% 19.22/19.41 tff(2551,plain,
% 19.22/19.41 ((~![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(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2552,plain,
% 19.22/19.41 ((~![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(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 19.22/19.41 tff(2553,plain,
% 19.22/19.41 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2552, 478, 2546])).
% 19.22/19.41 tff(2554,plain,
% 19.22/19.41 (m_main_v_state1(s27, c_n1)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2553, 2535, 2490, 2527, 2523, 2515, 2498])).
% 19.22/19.41 tff(2555,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2556,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2557,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 19.22/19.41 tff(2558,plain,
% 19.22/19.41 (~node15(s25)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2557, 21, 2467])).
% 19.22/19.41 tff(2559,plain,
% 19.22/19.41 (((~![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))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2560,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2561,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 19.22/19.41 tff(2562,plain,
% 19.22/19.41 (node18(s25, s26)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2561, 71, 2478])).
% 19.22/19.41 tff(2563,plain,
% 19.22/19.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2564,plain,
% 19.22/19.41 (((~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))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2565,plain,
% 19.22/19.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 19.22/19.41 inference(monotonicity,[status(thm)],[2564])).
% 19.22/19.41 tff(2566,plain,
% 19.22/19.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 19.22/19.41 inference(transitivity,[status(thm)],[2565, 2563])).
% 19.22/19.41 tff(2567,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2568,plain,
% 19.22/19.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 19.22/19.41 tff(2569,plain,
% 19.22/19.41 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2568, 863, 2562])).
% 19.22/19.41 tff(2570,plain,
% 19.22/19.41 (m_main_v_turn(s26, c_1)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2569, 2558, 2395, 2463])).
% 19.22/19.41 tff(2571,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2572,plain,
% 19.22/19.41 ((~![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)))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2573,plain,
% 19.22/19.41 ((~![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))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 19.22/19.41 tff(2574,plain,
% 19.22/19.41 (~m_main_v_turn(s26, c_2)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2573, 322, 2570])).
% 19.22/19.41 tff(2575,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2576,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2577,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 19.22/19.41 tff(2578,plain,
% 19.22/19.41 (~node12(s26)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2577, 350, 2574])).
% 19.22/19.41 tff(2579,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2580,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2581,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 19.22/19.41 tff(2582,plain,
% 19.22/19.41 (~node8(s26)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2581, 383, 2511])).
% 19.22/19.41 tff(2583,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2584,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 19.22/19.41 inference(quant_inst,[status(thm)],[])).
% 19.22/19.41 tff(2585,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 19.22/19.41 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 19.22/19.41 tff(2586,plain,
% 19.22/19.41 (~node9(s26)),
% 19.22/19.41 inference(unit_resolution,[status(thm)],[2585, 311, 2511])).
% 19.22/19.41 tff(2587,plain,
% 19.22/19.41 (((~![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)))),
% 19.22/19.41 inference(rewrite,[status(thm)],[])).
% 19.22/19.41 tff(2588,plain,
% 19.22/19.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2589,plain,
% 19.22/19.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 19.22/19.42 tff(2590,plain,
% 19.22/19.42 (~node10(s26)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2589, 372, 2511])).
% 19.22/19.42 tff(2591,plain,
% 19.22/19.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2592,plain,
% 19.22/19.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2593,plain,
% 19.22/19.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 19.22/19.42 tff(2594,plain,
% 19.22/19.42 (~node11(s26)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2593, 361, 2531])).
% 19.22/19.42 tff(2595,plain,
% 19.22/19.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2596,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2597,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 19.22/19.42 tff(2598,plain,
% 19.22/19.42 (node14(s26, s27)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2597, 130, 2542])).
% 19.22/19.42 tff(2599,plain,
% 19.22/19.42 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2600,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2601,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 19.22/19.42 tff(2602,plain,
% 19.22/19.42 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2601, 401, 2598])).
% 19.22/19.42 tff(2603,plain,
% 19.22/19.42 (node13(s26, s27)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2602, 2594, 2519, 2590, 2586, 2582, 2578])).
% 19.22/19.42 tff(2604,plain,
% 19.22/19.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2605,plain,
% 19.22/19.42 (((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2)) <=> ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2606,plain,
% 19.22/19.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))))),
% 19.22/19.42 inference(monotonicity,[status(thm)],[2605])).
% 19.22/19.42 tff(2607,plain,
% 19.22/19.42 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 19.22/19.42 inference(transitivity,[status(thm)],[2606, 2604])).
% 19.22/19.42 tff(2608,plain,
% 19.22/19.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2609,plain,
% 19.22/19.42 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 19.22/19.42 tff(2610,plain,
% 19.22/19.42 (m_main_v_state2(s27, c_t2)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2609, 563, 2507, 2603])).
% 19.22/19.42 tff(2611,plain,
% 19.22/19.42 (succ(s27, s28) <=> succ(s27, s28)),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2612,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 19.22/19.42 tff(2613,plain,
% 19.22/19.42 (succ(s27, s28)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 19.22/19.42 tff(2614,plain,
% 19.22/19.42 (((~![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))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2615,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2616,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 19.22/19.42 tff(2617,plain,
% 19.22/19.42 (trans(s27, s28)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2616, 2613, 57])).
% 19.22/19.42 tff(2618,plain,
% 19.22/19.42 (((~![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))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2619,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2620,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 19.22/19.42 tff(2621,plain,
% 19.22/19.42 (node7(s27, s28)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2620, 217, 2617])).
% 19.22/19.42 tff(2622,plain,
% 19.22/19.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2623,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2624,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 19.22/19.42 tff(2625,plain,
% 19.22/19.42 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2624, 598, 2621])).
% 19.22/19.42 tff(2626,plain,
% 19.22/19.42 (m_main_v_state1(s28, c_t1)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2625, 2610, 2554])).
% 19.22/19.42 tff(2627,plain,
% 19.22/19.42 (((~![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)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2628,plain,
% 19.22/19.42 ((~![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)))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2629,plain,
% 19.22/19.42 ((~![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))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 19.22/19.42 tff(2630,plain,
% 19.22/19.42 (~m_main_v_state1(s28, c_n1)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2629, 35, 2626])).
% 19.22/19.42 tff(2631,plain,
% 19.22/19.42 (((~![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)))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2632,plain,
% 19.22/19.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2633,plain,
% 19.22/19.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 19.22/19.42 tff(2634,plain,
% 19.22/19.42 (~node1(s28)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2633, 249, 2630])).
% 19.22/19.42 tff(2635,plain,
% 19.22/19.42 (((~![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))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2636,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2637,plain,
% 19.22/19.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 19.22/19.42 tff(2638,plain,
% 19.22/19.42 (node18(s27, s28)),
% 19.22/19.42 inference(unit_resolution,[status(thm)],[2637, 71, 2617])).
% 19.22/19.42 tff(2639,plain,
% 19.22/19.42 (((~![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(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))),
% 19.22/19.42 inference(rewrite,[status(thm)],[])).
% 19.22/19.42 tff(2640,plain,
% 19.22/19.42 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 19.22/19.42 inference(quant_inst,[status(thm)],[])).
% 19.22/19.42 tff(2641,plain,
% 19.22/19.42 ((~![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(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 19.22/19.42 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 19.22/19.43 tff(2642,plain,
% 19.22/19.43 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2641, 625, 2638])).
% 19.22/19.43 tff(2643,plain,
% 19.22/19.43 (m_main_v_turn(s28, c_2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2642, 2610, 2554])).
% 19.22/19.43 tff(2644,plain,
% 19.22/19.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2645,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2646,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 19.22/19.43 tff(2647,plain,
% 19.22/19.43 (~m_main_v_turn(s28, c_1)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2646, 322, 2643])).
% 19.22/19.43 tff(2648,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2649,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2650,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 19.22/19.43 tff(2651,plain,
% 19.22/19.43 (~node5(s28)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2650, 641, 2647])).
% 19.22/19.43 tff(2652,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2653,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2654,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 19.22/19.43 tff(2655,plain,
% 19.22/19.43 (~node2(s28)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2654, 652, 2630])).
% 19.22/19.43 tff(2656,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2657,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2658,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 19.22/19.43 tff(2659,plain,
% 19.22/19.43 (~node3(s28)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2658, 663, 2630])).
% 19.22/19.43 tff(2660,plain,
% 19.22/19.43 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2661,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2662,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 19.22/19.43 tff(2663,plain,
% 19.22/19.43 (~m_main_v_state1(s28, c_c1)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2662, 289, 2626])).
% 19.22/19.43 tff(2664,plain,
% 19.22/19.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2665,plain,
% 19.22/19.43 (((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2))) <=> (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2666,plain,
% 19.22/19.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))))),
% 19.22/19.43 inference(monotonicity,[status(thm)],[2665])).
% 19.22/19.43 tff(2667,plain,
% 19.22/19.43 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 19.22/19.43 inference(transitivity,[status(thm)],[2666, 2664])).
% 19.22/19.43 tff(2668,plain,
% 19.22/19.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2669,plain,
% 19.22/19.43 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 19.22/19.43 tff(2670,plain,
% 19.22/19.43 (~m_main_v_state2(s27, c_n2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2669, 416, 2511, 2603])).
% 19.22/19.43 tff(2671,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2672,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2673,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 19.22/19.43 tff(2674,plain,
% 19.22/19.43 (~node9(s27)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2673, 311, 2670])).
% 19.22/19.43 tff(2675,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2676,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2677,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 19.22/19.43 tff(2678,plain,
% 19.22/19.43 (~node10(s27)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2677, 372, 2670])).
% 19.22/19.43 tff(2679,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2680,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2681,plain,
% 19.22/19.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 19.22/19.43 tff(2682,plain,
% 19.22/19.43 (~node8(s27)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2681, 383, 2670])).
% 19.22/19.43 tff(2683,plain,
% 19.22/19.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2684,plain,
% 19.22/19.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2685,plain,
% 19.22/19.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 19.22/19.43 tff(2686,plain,
% 19.22/19.43 (node14(s27, s28)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2685, 130, 2617])).
% 19.22/19.43 tff(2687,plain,
% 19.22/19.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2688,plain,
% 19.22/19.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2689,plain,
% 19.22/19.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2)),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 19.22/19.43 tff(2690,plain,
% 19.22/19.43 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | m_main_v_state2(s28, c_c2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2689, 704, 2686])).
% 19.22/19.43 tff(2691,plain,
% 19.22/19.43 (m_main_v_state2(s28, c_c2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2690, 2682, 2554, 2610, 2678, 2674])).
% 19.22/19.43 tff(2692,plain,
% 19.22/19.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.43 tff(2693,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.43 inference(quant_inst,[status(thm)],[])).
% 19.22/19.43 tff(2694,plain,
% 19.22/19.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2))),
% 19.22/19.43 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 19.22/19.43 tff(2695,plain,
% 19.22/19.43 (~m_main_v_state2(s28, c_n2)),
% 19.22/19.43 inference(unit_resolution,[status(thm)],[2694, 716, 2691])).
% 19.22/19.43 tff(2696,plain,
% 19.22/19.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 19.22/19.43 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2697,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2698,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 19.22/19.44 tff(2699,plain,
% 19.22/19.44 (~node4(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2698, 162, 2695])).
% 19.22/19.44 tff(2700,plain,
% 19.22/19.44 (succ(s28, s29) <=> succ(s28, s29)),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2701,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 19.22/19.44 tff(2702,plain,
% 19.22/19.44 (succ(s28, s29)),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 19.22/19.44 tff(2703,plain,
% 19.22/19.44 (((~![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))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2704,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2705,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 19.22/19.44 tff(2706,plain,
% 19.22/19.44 (trans(s28, s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2705, 2702, 57])).
% 19.22/19.44 tff(2707,plain,
% 19.22/19.44 (((~![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))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2708,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2709,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 19.22/19.44 tff(2710,plain,
% 19.22/19.44 (node7(s28, s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2709, 217, 2706])).
% 19.22/19.44 tff(2711,plain,
% 19.22/19.44 (((~![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(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)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2712,plain,
% 19.22/19.44 ((~![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(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2713,plain,
% 19.22/19.44 ((~![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(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 19.22/19.44 tff(2714,plain,
% 19.22/19.44 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2713, 745, 2710])).
% 19.22/19.44 tff(2715,plain,
% 19.22/19.44 (node6(s28, s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2714, 2699, 2663, 2659, 2655, 2651, 2634])).
% 19.22/19.44 tff(2716,plain,
% 19.22/19.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))) <=> ((~![V: $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)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2717,plain,
% 19.22/19.44 (((~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)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2718,plain,
% 19.22/19.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))))),
% 19.22/19.44 inference(monotonicity,[status(thm)],[2717])).
% 19.22/19.44 tff(2719,plain,
% 19.22/19.44 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 19.22/19.44 inference(transitivity,[status(thm)],[2718, 2716])).
% 19.22/19.44 tff(2720,plain,
% 19.22/19.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2721,plain,
% 19.22/19.44 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 19.22/19.44 tff(2722,plain,
% 19.22/19.44 (m_main_v_state1(s29, c_t1)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2721, 760, 2626, 2715])).
% 19.22/19.44 tff(2723,plain,
% 19.22/19.44 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2724,plain,
% 19.22/19.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2725,plain,
% 19.22/19.44 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 19.22/19.44 tff(2726,plain,
% 19.22/19.44 (~m_main_v_state2(s28, c_t2)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2725, 173, 2691])).
% 19.22/19.44 tff(2727,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2728,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2729,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 19.22/19.44 tff(2730,plain,
% 19.22/19.44 (~node12(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2729, 778, 2726])).
% 19.22/19.44 tff(2731,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2732,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2733,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 19.22/19.44 tff(2734,plain,
% 19.22/19.44 (~node11(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2733, 361, 2630])).
% 19.22/19.44 tff(2735,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2736,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2737,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 19.22/19.44 tff(2738,plain,
% 19.22/19.44 (~node10(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2737, 793, 2663])).
% 19.22/19.44 tff(2739,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2740,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2741,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 19.22/19.44 tff(2742,plain,
% 19.22/19.44 (~node9(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2741, 804, 2630])).
% 19.22/19.44 tff(2743,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2744,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2745,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 19.22/19.44 tff(2746,plain,
% 19.22/19.44 (~node8(s28)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2745, 383, 2695])).
% 19.22/19.44 tff(2747,plain,
% 19.22/19.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2748,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2749,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 19.22/19.44 tff(2750,plain,
% 19.22/19.44 (node14(s28, s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2749, 130, 2706])).
% 19.22/19.44 tff(2751,plain,
% 19.22/19.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2752,plain,
% 19.22/19.44 (((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2)) <=> (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2753,plain,
% 19.22/19.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))))),
% 19.22/19.44 inference(monotonicity,[status(thm)],[2752])).
% 19.22/19.44 tff(2754,plain,
% 19.22/19.44 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 19.22/19.44 inference(transitivity,[status(thm)],[2753, 2751])).
% 19.22/19.44 tff(2755,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2756,plain,
% 19.22/19.44 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 19.22/19.44 tff(2757,plain,
% 19.22/19.44 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2756, 826, 2750])).
% 19.22/19.44 tff(2758,plain,
% 19.22/19.44 (m_main_v_state2(s29, c_n2)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2757, 2746, 2691, 2742, 2738, 2734, 2730])).
% 19.22/19.44 tff(2759,plain,
% 19.22/19.44 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2760,plain,
% 19.22/19.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2761,plain,
% 19.22/19.44 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 19.22/19.44 tff(2762,plain,
% 19.22/19.44 (~m_main_v_state2(s29, c_t2)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2761, 10, 2758])).
% 19.22/19.44 tff(2763,plain,
% 19.22/19.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 19.22/19.44 inference(rewrite,[status(thm)],[])).
% 19.22/19.44 tff(2764,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 19.22/19.44 inference(quant_inst,[status(thm)],[])).
% 19.22/19.44 tff(2765,plain,
% 19.22/19.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 19.22/19.44 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 19.22/19.44 tff(2766,plain,
% 19.22/19.44 (~node15(s29)),
% 19.22/19.44 inference(unit_resolution,[status(thm)],[2765, 21, 2762])).
% 19.22/19.45 tff(2767,plain,
% 19.22/19.45 (succ(s29, s30) <=> succ(s29, s30)),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2768,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 19.22/19.45 tff(2769,plain,
% 19.22/19.45 (succ(s29, s30)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 19.22/19.45 tff(2770,plain,
% 19.22/19.45 (((~![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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2771,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2772,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 19.22/19.45 tff(2773,plain,
% 19.22/19.45 (trans(s29, s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2772, 2769, 57])).
% 19.22/19.45 tff(2774,plain,
% 19.22/19.45 (((~![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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2775,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2776,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 19.22/19.45 tff(2777,plain,
% 19.22/19.45 (node18(s29, s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2776, 71, 2773])).
% 19.22/19.45 tff(2778,plain,
% 19.22/19.45 (((~![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(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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2779,plain,
% 19.22/19.45 (((~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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2780,plain,
% 19.22/19.45 (((~![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(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)))),
% 19.22/19.45 inference(monotonicity,[status(thm)],[2779])).
% 19.22/19.45 tff(2781,plain,
% 19.22/19.45 (((~![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(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))),
% 19.22/19.45 inference(transitivity,[status(thm)],[2780, 2778])).
% 19.22/19.45 tff(2782,plain,
% 19.22/19.45 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2783,plain,
% 19.22/19.45 ((~![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(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)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 19.22/19.45 tff(2784,plain,
% 19.22/19.45 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2783, 863, 2777])).
% 19.22/19.45 tff(2785,plain,
% 19.22/19.45 (m_main_v_turn(s30, c_1)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2784, 2766, 2758, 2722])).
% 19.22/19.45 tff(2786,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2787,plain,
% 19.22/19.45 ((~![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)))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2788,plain,
% 19.22/19.45 ((~![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))),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 19.22/19.45 tff(2789,plain,
% 19.22/19.45 (~m_main_v_turn(s30, c_2)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2788, 322, 2785])).
% 19.22/19.45 tff(2790,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2791,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2792,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 19.22/19.45 tff(2793,plain,
% 19.22/19.45 (~node12(s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2792, 350, 2789])).
% 19.22/19.45 tff(2794,plain,
% 19.22/19.45 (((~![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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2795,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2796,plain,
% 19.22/19.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 19.22/19.45 tff(2797,plain,
% 19.22/19.45 (node14(s29, s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2796, 130, 2773])).
% 19.22/19.45 tff(2798,plain,
% 19.22/19.45 (((~![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(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))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2799,plain,
% 19.22/19.45 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2800,plain,
% 19.22/19.45 ((~![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(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 19.22/19.45 tff(2801,plain,
% 19.22/19.45 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2800, 893, 2797])).
% 19.22/19.45 tff(2802,plain,
% 19.22/19.45 (m_main_v_state2(s30, c_t2)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2801, 2722, 2758])).
% 19.22/19.45 tff(2803,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2804,plain,
% 19.22/19.45 ((~![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)))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2805,plain,
% 19.22/19.45 ((~![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))),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 19.22/19.45 tff(2806,plain,
% 19.22/19.45 (~m_main_v_state2(s30, c_n2)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2805, 10, 2802])).
% 19.22/19.45 tff(2807,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2808,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2809,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 19.22/19.45 tff(2810,plain,
% 19.22/19.45 (~node8(s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2809, 383, 2806])).
% 19.22/19.45 tff(2811,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2812,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 19.22/19.45 inference(quant_inst,[status(thm)],[])).
% 19.22/19.45 tff(2813,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 19.22/19.45 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 19.22/19.45 tff(2814,plain,
% 19.22/19.45 (~node9(s30)),
% 19.22/19.45 inference(unit_resolution,[status(thm)],[2813, 311, 2806])).
% 19.22/19.45 tff(2815,plain,
% 19.22/19.45 (((~![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)))),
% 19.22/19.45 inference(rewrite,[status(thm)],[])).
% 19.22/19.45 tff(2816,plain,
% 19.22/19.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2817,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 19.22/19.46 tff(2818,plain,
% 19.22/19.46 (~node10(s30)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2817, 372, 2806])).
% 19.22/19.46 tff(2819,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2820,plain,
% 19.22/19.46 ((~![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)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2821,plain,
% 19.22/19.46 ((~![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))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 19.22/19.46 tff(2822,plain,
% 19.22/19.46 (~m_main_v_state2(s30, c_c2)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2821, 173, 2802])).
% 19.22/19.46 tff(2823,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2824,plain,
% 19.22/19.46 ((~![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)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2825,plain,
% 19.22/19.46 ((~![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))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 19.22/19.46 tff(2826,plain,
% 19.22/19.46 (~m_main_v_state2(s29, c_c2)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2825, 716, 2758])).
% 19.22/19.46 tff(2827,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2828,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2829,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 19.22/19.46 tff(2830,plain,
% 19.22/19.46 (~node3(s29)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2829, 184, 2826])).
% 19.22/19.46 tff(2831,plain,
% 19.22/19.46 (((~![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(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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2832,plain,
% 19.22/19.46 (((~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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2833,plain,
% 19.22/19.46 (((~![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))))),
% 19.22/19.46 inference(monotonicity,[status(thm)],[2832])).
% 19.22/19.46 tff(2834,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(transitivity,[status(thm)],[2833, 2831])).
% 19.22/19.46 tff(2835,plain,
% 19.22/19.46 ((~![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)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2836,plain,
% 19.22/19.46 ((~![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(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 19.22/19.46 tff(2837,plain,
% 19.22/19.46 (~m_main_v_state1(s29, c_n1)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2836, 936, 2630, 2715])).
% 19.22/19.46 tff(2838,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2839,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2840,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 19.22/19.46 tff(2841,plain,
% 19.22/19.46 (~node2(s29)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2840, 652, 2837])).
% 19.22/19.46 tff(2842,plain,
% 19.22/19.46 (((~![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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2843,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2844,plain,
% 19.22/19.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 19.22/19.46 tff(2845,plain,
% 19.22/19.46 (~node1(s29)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2844, 206, 2762])).
% 19.22/19.46 tff(2846,plain,
% 19.22/19.46 (((~![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))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2847,plain,
% 19.22/19.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 19.22/19.46 inference(quant_inst,[status(thm)],[])).
% 19.22/19.46 tff(2848,plain,
% 19.22/19.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 19.22/19.46 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 19.22/19.46 tff(2849,plain,
% 19.22/19.46 (node7(s29, s30)),
% 19.22/19.46 inference(unit_resolution,[status(thm)],[2848, 217, 2773])).
% 19.22/19.46 tff(2850,plain,
% 19.22/19.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2851,plain,
% 19.22/19.46 (((~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)))),
% 19.22/19.46 inference(rewrite,[status(thm)],[])).
% 19.22/19.46 tff(2852,plain,
% 19.22/19.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 19.22/19.46 inference(monotonicity,[status(thm)],[2851])).
% 19.22/19.46 tff(2853,plain,
% 19.22/19.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.27/19.46 inference(transitivity,[status(thm)],[2852, 2850])).
% 19.27/19.46 tff(2854,plain,
% 19.27/19.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 19.27/19.46 inference(quant_inst,[status(thm)],[])).
% 19.27/19.46 tff(2855,plain,
% 19.27/19.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 19.27/19.46 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 19.27/19.46 tff(2856,plain,
% 19.27/19.46 ((~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)),
% 19.27/19.46 inference(unit_resolution,[status(thm)],[2855, 965, 2849])).
% 19.27/19.46 tff(2857,plain,
% 19.27/19.46 (m_main_v_state1(s30, c_c1)),
% 19.27/19.46 inference(unit_resolution,[status(thm)],[2856, 2845, 2758, 2722, 2841, 2830])).
% 19.27/19.46 tff(2858,plain,
% 19.27/19.46 (((~![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)))),
% 19.27/19.46 inference(rewrite,[status(thm)],[])).
% 19.27/19.46 tff(2859,plain,
% 19.27/19.46 ((~![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)))),
% 19.27/19.46 inference(quant_inst,[status(thm)],[])).
% 19.27/19.46 tff(2860,plain,
% 19.27/19.46 ((~![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))),
% 19.27/19.46 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 19.27/19.46 tff(2861,plain,
% 19.27/19.46 (~m_main_v_state1(s30, c_n1)),
% 19.27/19.46 inference(unit_resolution,[status(thm)],[2860, 449, 2857])).
% 19.27/19.46 tff(2862,plain,
% 19.27/19.46 (((~![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)))),
% 19.27/19.46 inference(rewrite,[status(thm)],[])).
% 19.27/19.46 tff(2863,plain,
% 19.27/19.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 19.27/19.46 inference(quant_inst,[status(thm)],[])).
% 19.27/19.46 tff(2864,plain,
% 19.27/19.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 19.27/19.46 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 19.27/19.46 tff(2865,plain,
% 19.27/19.46 (~node11(s30)),
% 19.27/19.46 inference(unit_resolution,[status(thm)],[2864, 361, 2861])).
% 19.27/19.46 tff(2866,plain,
% 19.27/19.46 (succ(s30, s31) <=> succ(s30, s31)),
% 19.27/19.46 inference(rewrite,[status(thm)],[])).
% 19.27/19.46 tff(2867,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 19.27/19.46 tff(2868,plain,
% 19.27/19.46 (succ(s30, s31)),
% 19.27/19.46 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 19.27/19.46 tff(2869,plain,
% 19.27/19.46 (((~![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))),
% 19.27/19.46 inference(rewrite,[status(thm)],[])).
% 19.27/19.46 tff(2870,plain,
% 19.27/19.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 19.27/19.46 inference(quant_inst,[status(thm)],[])).
% 19.27/19.46 tff(2871,plain,
% 19.27/19.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 19.27/19.46 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 19.27/19.46 tff(2872,plain,
% 19.27/19.47 (trans(s30, s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2871, 2868, 57])).
% 19.27/19.47 tff(2873,plain,
% 19.27/19.47 (((~![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))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2874,plain,
% 19.27/19.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2875,plain,
% 19.27/19.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 19.27/19.47 tff(2876,plain,
% 19.27/19.47 (node14(s30, s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2875, 130, 2872])).
% 19.27/19.47 tff(2877,plain,
% 19.27/19.47 (((~![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(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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2878,plain,
% 19.27/19.47 ((~![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(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2879,plain,
% 19.27/19.47 ((~![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(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 19.27/19.47 tff(2880,plain,
% 19.27/19.47 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2879, 401, 2876])).
% 19.27/19.47 tff(2881,plain,
% 19.27/19.47 (node13(s30, s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2880, 2865, 2822, 2818, 2814, 2810, 2793])).
% 19.27/19.47 tff(2882,plain,
% 19.27/19.47 (((~![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(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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2883,plain,
% 19.27/19.47 (((~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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2884,plain,
% 19.27/19.47 (((~![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))))),
% 19.27/19.47 inference(monotonicity,[status(thm)],[2883])).
% 19.27/19.47 tff(2885,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(transitivity,[status(thm)],[2884, 2882])).
% 19.27/19.47 tff(2886,plain,
% 19.27/19.47 ((~![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)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2887,plain,
% 19.27/19.47 ((~![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(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 19.27/19.47 tff(2888,plain,
% 19.27/19.47 (~m_main_v_state2(s31, c_n2)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2887, 416, 2806, 2881])).
% 19.27/19.47 tff(2889,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2890,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2891,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 19.27/19.47 tff(2892,plain,
% 19.27/19.47 (~node9(s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2891, 311, 2888])).
% 19.27/19.47 tff(2893,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2894,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2895,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 19.27/19.47 tff(2896,plain,
% 19.27/19.47 (~node10(s31)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2895, 372, 2888])).
% 19.27/19.47 tff(2897,plain,
% 19.27/19.47 (((~![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(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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2898,plain,
% 19.27/19.47 (((~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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2899,plain,
% 19.27/19.47 (((~![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))))),
% 19.27/19.47 inference(monotonicity,[status(thm)],[2898])).
% 19.27/19.47 tff(2900,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(transitivity,[status(thm)],[2899, 2897])).
% 19.27/19.47 tff(2901,plain,
% 19.27/19.47 ((~![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))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2902,plain,
% 19.27/19.47 ((~![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(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 19.27/19.47 tff(2903,plain,
% 19.27/19.47 (m_main_v_state2(s31, c_t2)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2902, 563, 2802, 2881])).
% 19.27/19.47 tff(2904,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2905,plain,
% 19.27/19.47 ((~![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)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2906,plain,
% 19.27/19.47 ((~![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))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 19.27/19.47 tff(2907,plain,
% 19.27/19.47 (~m_main_v_state1(s30, c_t1)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2906, 289, 2857])).
% 19.27/19.47 tff(2908,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2909,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2910,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 19.27/19.47 tff(2911,plain,
% 19.27/19.47 (~node5(s30)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2910, 300, 2907])).
% 19.27/19.47 tff(2912,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2913,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2914,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 19.27/19.47 tff(2915,plain,
% 19.27/19.47 (~node4(s30)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2914, 162, 2806])).
% 19.27/19.47 tff(2916,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2917,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2918,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 19.27/19.47 tff(2919,plain,
% 19.27/19.47 (~node3(s30)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2918, 184, 2822])).
% 19.27/19.47 tff(2920,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.47 inference(rewrite,[status(thm)],[])).
% 19.27/19.47 tff(2921,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 19.27/19.47 inference(quant_inst,[status(thm)],[])).
% 19.27/19.47 tff(2922,plain,
% 19.27/19.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 19.27/19.47 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 19.27/19.47 tff(2923,plain,
% 19.27/19.47 (~node2(s30)),
% 19.27/19.47 inference(unit_resolution,[status(thm)],[2922, 195, 2806])).
% 19.27/19.47 tff(2924,plain,
% 19.27/19.47 (((~![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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2925,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2926,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 19.27/19.48 tff(2927,plain,
% 19.27/19.48 (~node1(s30)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2926, 249, 2861])).
% 19.27/19.48 tff(2928,plain,
% 19.27/19.48 (((~![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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2929,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2930,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 19.27/19.48 tff(2931,plain,
% 19.27/19.48 (node7(s30, s31)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2930, 217, 2872])).
% 19.27/19.48 tff(2932,plain,
% 19.27/19.48 (((~![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(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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2933,plain,
% 19.27/19.48 (((~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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2934,plain,
% 19.27/19.48 (((~![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(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))))),
% 19.27/19.48 inference(monotonicity,[status(thm)],[2933])).
% 19.27/19.48 tff(2935,plain,
% 19.27/19.48 (((~![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(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)))),
% 19.27/19.48 inference(transitivity,[status(thm)],[2934, 2932])).
% 19.27/19.48 tff(2936,plain,
% 19.27/19.48 ((~![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(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2937,plain,
% 19.27/19.48 ((~![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(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 19.27/19.48 tff(2938,plain,
% 19.27/19.48 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2937, 478, 2931])).
% 19.27/19.48 tff(2939,plain,
% 19.27/19.48 (m_main_v_state1(s31, c_n1)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2938, 2927, 2857, 2923, 2919, 2915, 2911])).
% 19.27/19.48 tff(2940,plain,
% 19.27/19.48 (((~![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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2941,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2942,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 19.27/19.48 tff(2943,plain,
% 19.27/19.48 (~node8(s31)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2942, 383, 2888])).
% 19.27/19.48 tff(2944,plain,
% 19.27/19.48 (succ(s31, s32) <=> succ(s31, s32)),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2945,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 19.27/19.48 tff(2946,plain,
% 19.27/19.48 (succ(s31, s32)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 19.27/19.48 tff(2947,plain,
% 19.27/19.48 (((~![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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2948,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2949,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 19.27/19.48 tff(2950,plain,
% 19.27/19.48 (trans(s31, s32)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2949, 2946, 57])).
% 19.27/19.48 tff(2951,plain,
% 19.27/19.48 (((~![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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2952,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2953,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 19.27/19.48 tff(2954,plain,
% 19.27/19.48 (node14(s31, s32)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2953, 130, 2950])).
% 19.27/19.48 tff(2955,plain,
% 19.27/19.48 (((~![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(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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2956,plain,
% 19.27/19.48 ((~![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(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))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2957,plain,
% 19.27/19.48 ((~![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(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)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 19.27/19.48 tff(2958,plain,
% 19.27/19.48 ((~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)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2957, 704, 2954])).
% 19.27/19.48 tff(2959,plain,
% 19.27/19.48 (m_main_v_state2(s32, c_c2)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2958, 2943, 2939, 2903, 2896, 2892])).
% 19.27/19.48 tff(2960,plain,
% 19.27/19.48 (((~![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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2961,plain,
% 19.27/19.48 ((~![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)))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2962,plain,
% 19.27/19.48 ((~![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))),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 19.27/19.48 tff(2963,plain,
% 19.27/19.48 (~m_main_v_state2(s32, c_t2)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2962, 173, 2959])).
% 19.27/19.48 tff(2964,plain,
% 19.27/19.48 (((~![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)))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2965,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2966,plain,
% 19.27/19.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 19.27/19.48 tff(2967,plain,
% 19.27/19.48 (~node12(s32)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2966, 778, 2963])).
% 19.27/19.48 tff(2968,plain,
% 19.27/19.48 (((~![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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2969,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2970,plain,
% 19.27/19.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 19.27/19.48 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 19.27/19.48 tff(2971,plain,
% 19.27/19.48 (node7(s31, s32)),
% 19.27/19.48 inference(unit_resolution,[status(thm)],[2970, 217, 2950])).
% 19.27/19.48 tff(2972,plain,
% 19.27/19.48 (((~![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(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))),
% 19.27/19.48 inference(rewrite,[status(thm)],[])).
% 19.27/19.48 tff(2973,plain,
% 19.27/19.48 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 19.27/19.48 inference(quant_inst,[status(thm)],[])).
% 19.27/19.48 tff(2974,plain,
% 19.27/19.48 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1)),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 19.27/19.49 tff(2975,plain,
% 19.27/19.49 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2974, 598, 2971])).
% 19.27/19.49 tff(2976,plain,
% 19.27/19.49 (m_main_v_state1(s32, c_t1)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2975, 2903, 2939])).
% 19.27/19.49 tff(2977,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2978,plain,
% 19.27/19.49 ((~![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)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2979,plain,
% 19.27/19.49 ((~![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))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 19.27/19.49 tff(2980,plain,
% 19.27/19.49 (~m_main_v_state1(s32, c_n1)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2979, 35, 2976])).
% 19.27/19.49 tff(2981,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2982,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2983,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 19.27/19.49 tff(2984,plain,
% 19.27/19.49 (~node11(s32)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2983, 361, 2980])).
% 19.27/19.49 tff(2985,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2986,plain,
% 19.27/19.49 ((~![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)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2987,plain,
% 19.27/19.49 ((~![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))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 19.27/19.49 tff(2988,plain,
% 19.27/19.49 (~m_main_v_state1(s32, c_c1)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2987, 289, 2976])).
% 19.27/19.49 tff(2989,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2990,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2991,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 19.27/19.49 tff(2992,plain,
% 19.27/19.49 (~node10(s32)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2991, 793, 2988])).
% 19.27/19.49 tff(2993,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2994,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2995,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 19.27/19.49 tff(2996,plain,
% 19.27/19.49 (~node9(s32)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2995, 804, 2980])).
% 19.27/19.49 tff(2997,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(2998,plain,
% 19.27/19.49 ((~![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)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(2999,plain,
% 19.27/19.49 ((~![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))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 19.27/19.49 tff(3000,plain,
% 19.27/19.49 (~m_main_v_state2(s32, c_n2)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[2999, 716, 2959])).
% 19.27/19.49 tff(3001,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3002,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(3003,plain,
% 19.27/19.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 19.27/19.49 tff(3004,plain,
% 19.27/19.49 (~node8(s32)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3003, 383, 3000])).
% 19.27/19.49 tff(3005,plain,
% 19.27/19.49 (succ(s32, s33) <=> succ(s32, s33)),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3006,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 19.27/19.49 tff(3007,plain,
% 19.27/19.49 (succ(s32, s33)),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 19.27/19.49 tff(3008,plain,
% 19.27/19.49 (((~![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))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3009,plain,
% 19.27/19.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(3010,plain,
% 19.27/19.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 19.27/19.49 tff(3011,plain,
% 19.27/19.49 (trans(s32, s33)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3010, 3007, 57])).
% 19.27/19.49 tff(3012,plain,
% 19.27/19.49 (((~![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))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3013,plain,
% 19.27/19.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(3014,plain,
% 19.27/19.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 19.27/19.49 tff(3015,plain,
% 19.27/19.49 (node14(s32, s33)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3014, 130, 3011])).
% 19.27/19.49 tff(3016,plain,
% 19.27/19.49 (((~![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(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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3017,plain,
% 19.27/19.49 (((~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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3018,plain,
% 19.27/19.49 (((~![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(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))))),
% 19.27/19.49 inference(monotonicity,[status(thm)],[3017])).
% 19.27/19.49 tff(3019,plain,
% 19.27/19.49 (((~![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(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)))),
% 19.27/19.49 inference(transitivity,[status(thm)],[3018, 3016])).
% 19.27/19.49 tff(3020,plain,
% 19.27/19.49 ((~![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(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(3021,plain,
% 19.27/19.49 ((~![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(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 19.27/19.49 tff(3022,plain,
% 19.27/19.49 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3021, 826, 3015])).
% 19.27/19.49 tff(3023,plain,
% 19.27/19.49 (m_main_v_state2(s33, c_n2)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3022, 3004, 2959, 2996, 2992, 2984, 2967])).
% 19.27/19.49 tff(3024,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.49 inference(rewrite,[status(thm)],[])).
% 19.27/19.49 tff(3025,plain,
% 19.27/19.49 ((~![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)))),
% 19.27/19.49 inference(quant_inst,[status(thm)],[])).
% 19.27/19.49 tff(3026,plain,
% 19.27/19.49 ((~![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))),
% 19.27/19.49 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 19.27/19.49 tff(3027,plain,
% 19.27/19.49 (~m_main_v_state2(s33, c_c2)),
% 19.27/19.49 inference(unit_resolution,[status(thm)],[3026, 716, 3023])).
% 19.27/19.49 tff(3028,plain,
% 19.27/19.49 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3029,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3030,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 19.27/19.50 tff(3031,plain,
% 19.27/19.50 (~node3(s33)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3030, 184, 3027])).
% 19.27/19.50 tff(3032,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3033,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3034,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 19.27/19.50 tff(3035,plain,
% 19.27/19.50 (~node1(s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3034, 249, 2980])).
% 19.27/19.50 tff(3036,plain,
% 19.27/19.50 (((~![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))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3037,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3038,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 19.27/19.50 tff(3039,plain,
% 19.27/19.50 (node18(s31, s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3038, 71, 2950])).
% 19.27/19.50 tff(3040,plain,
% 19.27/19.50 (((~![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(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))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3041,plain,
% 19.27/19.50 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3042,plain,
% 19.27/19.50 ((~![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(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 19.27/19.50 tff(3043,plain,
% 19.27/19.50 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3042, 625, 3039])).
% 19.27/19.50 tff(3044,plain,
% 19.27/19.50 (m_main_v_turn(s32, c_2)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3043, 2903, 2939])).
% 19.27/19.50 tff(3045,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3046,plain,
% 19.27/19.50 ((~![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)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3047,plain,
% 19.27/19.50 ((~![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))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 19.27/19.50 tff(3048,plain,
% 19.27/19.50 (~m_main_v_turn(s32, c_1)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3047, 322, 3044])).
% 19.27/19.50 tff(3049,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3050,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3051,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 19.27/19.50 tff(3052,plain,
% 19.27/19.50 (~node5(s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3051, 641, 3048])).
% 19.27/19.50 tff(3053,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3054,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3055,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 19.27/19.50 tff(3056,plain,
% 19.27/19.50 (~node2(s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3055, 652, 2980])).
% 19.27/19.50 tff(3057,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3058,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3059,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 19.27/19.50 tff(3060,plain,
% 19.27/19.50 (~node3(s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3059, 663, 2980])).
% 19.27/19.50 tff(3061,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3062,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3063,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 19.27/19.50 tff(3064,plain,
% 19.27/19.50 (~node4(s32)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3063, 162, 3000])).
% 19.27/19.50 tff(3065,plain,
% 19.27/19.50 (((~![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))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3066,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3067,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 19.27/19.50 tff(3068,plain,
% 19.27/19.50 (node7(s32, s33)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3067, 217, 3011])).
% 19.27/19.50 tff(3069,plain,
% 19.27/19.50 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3070,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3071,plain,
% 19.27/19.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 19.27/19.50 tff(3072,plain,
% 19.27/19.50 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3071, 745, 3068])).
% 19.27/19.50 tff(3073,plain,
% 19.27/19.50 (node6(s32, s33)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3072, 3064, 2988, 3060, 3056, 3052, 3035])).
% 19.27/19.50 tff(3074,plain,
% 19.27/19.50 (((~![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(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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3075,plain,
% 19.27/19.50 (((~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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3076,plain,
% 19.27/19.50 (((~![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))))),
% 19.27/19.50 inference(monotonicity,[status(thm)],[3075])).
% 19.27/19.50 tff(3077,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(transitivity,[status(thm)],[3076, 3074])).
% 19.27/19.50 tff(3078,plain,
% 19.27/19.50 ((~![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)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3079,plain,
% 19.27/19.50 ((~![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(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))),
% 19.27/19.50 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 19.27/19.50 tff(3080,plain,
% 19.27/19.50 (~m_main_v_state1(s33, c_n1)),
% 19.27/19.50 inference(unit_resolution,[status(thm)],[3079, 936, 2980, 3073])).
% 19.27/19.50 tff(3081,plain,
% 19.27/19.50 (((~![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)))),
% 19.27/19.50 inference(rewrite,[status(thm)],[])).
% 19.27/19.50 tff(3082,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 19.27/19.50 inference(quant_inst,[status(thm)],[])).
% 19.27/19.50 tff(3083,plain,
% 19.27/19.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 19.27/19.51 tff(3084,plain,
% 19.27/19.51 (~node2(s33)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3083, 652, 3080])).
% 19.27/19.51 tff(3085,plain,
% 19.27/19.51 (((~![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(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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3086,plain,
% 19.27/19.51 (((~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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3087,plain,
% 19.27/19.51 (((~![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))))),
% 19.27/19.51 inference(monotonicity,[status(thm)],[3086])).
% 19.27/19.51 tff(3088,plain,
% 19.27/19.51 (((~![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)))),
% 19.27/19.51 inference(transitivity,[status(thm)],[3087, 3085])).
% 19.27/19.51 tff(3089,plain,
% 19.27/19.51 ((~![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))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3090,plain,
% 19.27/19.51 ((~![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(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 19.27/19.51 tff(3091,plain,
% 19.27/19.51 (m_main_v_state1(s33, c_t1)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3090, 760, 2976, 3073])).
% 19.27/19.51 tff(3092,plain,
% 19.27/19.51 (((~![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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3093,plain,
% 19.27/19.51 ((~![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)))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3094,plain,
% 19.27/19.51 ((~![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))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 19.27/19.51 tff(3095,plain,
% 19.27/19.51 (~m_main_v_state2(s33, c_t2)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3094, 10, 3023])).
% 19.27/19.51 tff(3096,plain,
% 19.27/19.51 (((~![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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3097,plain,
% 19.27/19.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3098,plain,
% 19.27/19.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 19.27/19.51 tff(3099,plain,
% 19.27/19.51 (~node1(s33)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3098, 206, 3095])).
% 19.27/19.51 tff(3100,plain,
% 19.27/19.51 (succ(s33, s34) <=> succ(s33, s34)),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3101,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 19.27/19.51 tff(3102,plain,
% 19.27/19.51 (succ(s33, s34)),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 19.27/19.51 tff(3103,plain,
% 19.27/19.51 (((~![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))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3104,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3105,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 19.27/19.51 tff(3106,plain,
% 19.27/19.51 (trans(s33, s34)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3105, 3102, 57])).
% 19.27/19.51 tff(3107,plain,
% 19.27/19.51 (((~![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))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3108,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3109,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 19.27/19.51 tff(3110,plain,
% 19.27/19.51 (node7(s33, s34)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3109, 217, 3106])).
% 19.27/19.51 tff(3111,plain,
% 19.27/19.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3112,plain,
% 19.27/19.51 (((~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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3113,plain,
% 19.27/19.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 19.27/19.51 inference(monotonicity,[status(thm)],[3112])).
% 19.27/19.51 tff(3114,plain,
% 19.27/19.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.27/19.51 inference(transitivity,[status(thm)],[3113, 3111])).
% 19.27/19.51 tff(3115,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3116,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 19.27/19.51 tff(3117,plain,
% 19.27/19.51 ((~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)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3116, 965, 3110])).
% 19.27/19.51 tff(3118,plain,
% 19.27/19.51 (m_main_v_state1(s34, c_c1)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3117, 3099, 3023, 3091, 3084, 3031])).
% 19.27/19.51 tff(3119,plain,
% 19.27/19.51 (((~![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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3120,plain,
% 19.27/19.51 ((~![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)))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3121,plain,
% 19.27/19.51 ((~![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))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 19.27/19.51 tff(3122,plain,
% 19.27/19.51 (~m_main_v_state1(s34, c_t1)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3121, 289, 3118])).
% 19.27/19.51 tff(3123,plain,
% 19.27/19.51 (((~![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)))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3124,plain,
% 19.27/19.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3125,plain,
% 19.27/19.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 19.27/19.51 tff(3126,plain,
% 19.27/19.51 (~node5(s34)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3125, 300, 3122])).
% 19.27/19.51 tff(3127,plain,
% 19.27/19.51 (((~![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))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3128,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 19.27/19.51 inference(quant_inst,[status(thm)],[])).
% 19.27/19.51 tff(3129,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 19.27/19.51 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 19.27/19.51 tff(3130,plain,
% 19.27/19.51 (node14(s33, s34)),
% 19.27/19.51 inference(unit_resolution,[status(thm)],[3129, 130, 3106])).
% 19.27/19.51 tff(3131,plain,
% 19.27/19.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 19.27/19.51 inference(rewrite,[status(thm)],[])).
% 19.27/19.51 tff(3132,plain,
% 19.27/19.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3133,plain,
% 19.27/19.52 ((~![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(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2)),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 19.27/19.52 tff(3134,plain,
% 19.27/19.52 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3133, 893, 3130])).
% 19.27/19.52 tff(3135,plain,
% 19.27/19.52 (m_main_v_state2(s34, c_t2)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3134, 3091, 3023])).
% 19.27/19.52 tff(3136,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3137,plain,
% 19.27/19.52 ((~![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)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3138,plain,
% 19.27/19.52 ((~![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))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 19.27/19.52 tff(3139,plain,
% 19.27/19.52 (~m_main_v_state2(s34, c_n2)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3138, 10, 3135])).
% 19.27/19.52 tff(3140,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3141,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3142,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 19.27/19.52 tff(3143,plain,
% 19.27/19.52 (~node4(s34)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3142, 162, 3139])).
% 19.27/19.52 tff(3144,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3145,plain,
% 19.27/19.52 ((~![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)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3146,plain,
% 19.27/19.52 ((~![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))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 19.27/19.52 tff(3147,plain,
% 19.27/19.52 (~m_main_v_state2(s34, c_c2)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3146, 173, 3135])).
% 19.27/19.52 tff(3148,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3149,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3150,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 19.27/19.52 tff(3151,plain,
% 19.27/19.52 (~node3(s34)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3150, 184, 3147])).
% 19.27/19.52 tff(3152,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3153,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3154,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 19.27/19.52 tff(3155,plain,
% 19.27/19.52 (~node2(s34)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3154, 195, 3139])).
% 19.27/19.52 tff(3156,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3157,plain,
% 19.27/19.52 ((~![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)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3158,plain,
% 19.27/19.52 ((~![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))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 19.27/19.52 tff(3159,plain,
% 19.27/19.52 (~m_main_v_state1(s34, c_n1)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3158, 449, 3118])).
% 19.27/19.52 tff(3160,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3161,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3162,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 19.27/19.52 tff(3163,plain,
% 19.27/19.52 (~node1(s34)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3162, 249, 3159])).
% 19.27/19.52 tff(3164,plain,
% 19.27/19.52 (succ(s34, s35) <=> succ(s34, s35)),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3165,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 19.27/19.52 tff(3166,plain,
% 19.27/19.52 (succ(s34, s35)),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 19.27/19.52 tff(3167,plain,
% 19.27/19.52 (((~![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))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3168,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3169,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 19.27/19.52 tff(3170,plain,
% 19.27/19.52 (trans(s34, s35)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3169, 3166, 57])).
% 19.27/19.52 tff(3171,plain,
% 19.27/19.52 (((~![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))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3172,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3173,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 19.27/19.52 tff(3174,plain,
% 19.27/19.52 (node7(s34, s35)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3173, 217, 3170])).
% 19.27/19.52 tff(3175,plain,
% 19.27/19.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3176,plain,
% 19.27/19.52 (((~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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3177,plain,
% 19.27/19.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 19.27/19.52 inference(monotonicity,[status(thm)],[3176])).
% 19.27/19.52 tff(3178,plain,
% 19.27/19.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 19.27/19.52 inference(transitivity,[status(thm)],[3177, 3175])).
% 19.27/19.52 tff(3179,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3180,plain,
% 19.27/19.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 19.27/19.52 tff(3181,plain,
% 19.27/19.52 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3180, 478, 3174])).
% 19.27/19.52 tff(3182,plain,
% 19.27/19.52 (m_main_v_state1(s35, c_n1)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3181, 3163, 3118, 3155, 3151, 3143, 3126])).
% 19.27/19.52 tff(3183,plain,
% 19.27/19.52 (((~![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)))),
% 19.27/19.52 inference(rewrite,[status(thm)],[])).
% 19.27/19.52 tff(3184,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 19.27/19.52 inference(quant_inst,[status(thm)],[])).
% 19.27/19.52 tff(3185,plain,
% 19.27/19.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 19.27/19.52 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 19.27/19.52 tff(3186,plain,
% 19.27/19.52 (~node15(s33)),
% 19.27/19.52 inference(unit_resolution,[status(thm)],[3185, 21, 3095])).
% 19.27/19.52 tff(3187,plain,
% 19.27/19.53 (((~![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))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3188,plain,
% 19.27/19.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3189,plain,
% 19.27/19.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 19.27/19.53 tff(3190,plain,
% 19.27/19.53 (node18(s33, s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3189, 71, 3106])).
% 19.27/19.53 tff(3191,plain,
% 19.27/19.53 (((~![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(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))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3192,plain,
% 19.27/19.53 (((~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))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3193,plain,
% 19.27/19.53 (((~![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(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)))),
% 19.27/19.53 inference(monotonicity,[status(thm)],[3192])).
% 19.27/19.53 tff(3194,plain,
% 19.27/19.53 (((~![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(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))),
% 19.27/19.53 inference(transitivity,[status(thm)],[3193, 3191])).
% 19.27/19.53 tff(3195,plain,
% 19.27/19.53 ((~![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(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3196,plain,
% 19.27/19.53 ((~![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(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)),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 19.27/19.53 tff(3197,plain,
% 19.27/19.53 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3196, 863, 3190])).
% 19.27/19.53 tff(3198,plain,
% 19.27/19.53 (m_main_v_turn(s34, c_1)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3197, 3186, 3023, 3091])).
% 19.27/19.53 tff(3199,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3200,plain,
% 19.27/19.53 ((~![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)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3201,plain,
% 19.27/19.53 ((~![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))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 19.27/19.53 tff(3202,plain,
% 19.27/19.53 (~m_main_v_turn(s34, c_2)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3201, 322, 3198])).
% 19.27/19.53 tff(3203,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3204,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3205,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 19.27/19.53 tff(3206,plain,
% 19.27/19.53 (~node12(s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3205, 350, 3202])).
% 19.27/19.53 tff(3207,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3208,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3209,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 19.27/19.53 tff(3210,plain,
% 19.27/19.53 (~node8(s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3209, 383, 3139])).
% 19.27/19.53 tff(3211,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3212,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3213,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 19.27/19.53 tff(3214,plain,
% 19.27/19.53 (~node9(s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3213, 311, 3139])).
% 19.27/19.53 tff(3215,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3216,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3217,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 19.27/19.53 tff(3218,plain,
% 19.27/19.53 (~node10(s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3217, 372, 3139])).
% 19.27/19.53 tff(3219,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3220,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3221,plain,
% 19.27/19.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 19.27/19.53 tff(3222,plain,
% 19.27/19.53 (~node11(s34)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3221, 361, 3159])).
% 19.27/19.53 tff(3223,plain,
% 19.27/19.53 (((~![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))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3224,plain,
% 19.27/19.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3225,plain,
% 19.27/19.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 19.27/19.53 tff(3226,plain,
% 19.27/19.53 (node14(s34, s35)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3225, 130, 3170])).
% 19.27/19.53 tff(3227,plain,
% 19.27/19.53 (((~![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(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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3228,plain,
% 19.27/19.53 ((~![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(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 19.27/19.53 inference(quant_inst,[status(thm)],[])).
% 19.27/19.53 tff(3229,plain,
% 19.27/19.53 ((~![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(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35))),
% 19.27/19.53 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 19.27/19.53 tff(3230,plain,
% 19.27/19.53 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3229, 401, 3226])).
% 19.27/19.53 tff(3231,plain,
% 19.27/19.53 (node13(s34, s35)),
% 19.27/19.53 inference(unit_resolution,[status(thm)],[3230, 3222, 3147, 3218, 3214, 3210, 3206])).
% 19.27/19.53 tff(3232,plain,
% 19.27/19.53 (((~![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(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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3233,plain,
% 19.27/19.53 (((~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)))),
% 19.27/19.53 inference(rewrite,[status(thm)],[])).
% 19.27/19.53 tff(3234,plain,
% 19.27/19.53 (((~![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))))),
% 19.27/19.53 inference(monotonicity,[status(thm)],[3233])).
% 19.27/19.53 tff(3235,plain,
% 19.27/19.53 (((~![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)))),
% 19.27/19.53 inference(transitivity,[status(thm)],[3234, 3232])).
% 19.27/19.53 tff(3236,plain,
% 19.27/19.53 ((~![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))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3237,plain,
% 19.27/19.54 ((~![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(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 19.27/19.54 tff(3238,plain,
% 19.27/19.54 (m_main_v_state2(s35, c_t2)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3237, 563, 3135, 3231])).
% 19.27/19.54 tff(3239,plain,
% 19.27/19.54 (succ(s35, s36) <=> succ(s35, s36)),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3240,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 19.27/19.54 tff(3241,plain,
% 19.27/19.54 (succ(s35, s36)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 19.27/19.54 tff(3242,plain,
% 19.27/19.54 (((~![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))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3243,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3244,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 19.27/19.54 tff(3245,plain,
% 19.27/19.54 (trans(s35, s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3244, 3241, 57])).
% 19.27/19.54 tff(3246,plain,
% 19.27/19.54 (((~![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))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3247,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3248,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 19.27/19.54 tff(3249,plain,
% 19.27/19.54 (node7(s35, s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3248, 217, 3245])).
% 19.27/19.54 tff(3250,plain,
% 19.27/19.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3251,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3252,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 19.27/19.54 tff(3253,plain,
% 19.27/19.54 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3252, 598, 3249])).
% 19.27/19.54 tff(3254,plain,
% 19.27/19.54 (m_main_v_state1(s36, c_t1)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3253, 3238, 3182])).
% 19.27/19.54 tff(3255,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3256,plain,
% 19.27/19.54 ((~![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)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3257,plain,
% 19.27/19.54 ((~![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))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 19.27/19.54 tff(3258,plain,
% 19.27/19.54 (~m_main_v_state1(s36, c_n1)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3257, 35, 3254])).
% 19.27/19.54 tff(3259,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3260,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3261,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 19.27/19.54 tff(3262,plain,
% 19.27/19.54 (~node1(s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3261, 249, 3258])).
% 19.27/19.54 tff(3263,plain,
% 19.27/19.54 (((~![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))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3264,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3265,plain,
% 19.27/19.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 19.27/19.54 tff(3266,plain,
% 19.27/19.54 (node18(s35, s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3265, 71, 3245])).
% 19.27/19.54 tff(3267,plain,
% 19.27/19.54 (((~![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(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))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3268,plain,
% 19.27/19.54 ((~![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(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3269,plain,
% 19.27/19.54 ((~![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(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 19.27/19.54 tff(3270,plain,
% 19.27/19.54 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3269, 625, 3266])).
% 19.27/19.54 tff(3271,plain,
% 19.27/19.54 (m_main_v_turn(s36, c_2)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3270, 3238, 3182])).
% 19.27/19.54 tff(3272,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3273,plain,
% 19.27/19.54 ((~![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)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3274,plain,
% 19.27/19.54 ((~![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))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 19.27/19.54 tff(3275,plain,
% 19.27/19.54 (~m_main_v_turn(s36, c_1)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3274, 322, 3271])).
% 19.27/19.54 tff(3276,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3277,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3278,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 19.27/19.54 tff(3279,plain,
% 19.27/19.54 (~node5(s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3278, 641, 3275])).
% 19.27/19.54 tff(3280,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3281,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3282,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 19.27/19.54 tff(3283,plain,
% 19.27/19.54 (~node2(s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3282, 652, 3258])).
% 19.27/19.54 tff(3284,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3285,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3286,plain,
% 19.27/19.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 19.27/19.54 tff(3287,plain,
% 19.27/19.54 (~node3(s36)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3286, 663, 3258])).
% 19.27/19.54 tff(3288,plain,
% 19.27/19.54 (((~![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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3289,plain,
% 19.27/19.54 ((~![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)))),
% 19.27/19.54 inference(quant_inst,[status(thm)],[])).
% 19.27/19.54 tff(3290,plain,
% 19.27/19.54 ((~![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))),
% 19.27/19.54 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 19.27/19.54 tff(3291,plain,
% 19.27/19.54 (~m_main_v_state1(s36, c_c1)),
% 19.27/19.54 inference(unit_resolution,[status(thm)],[3290, 289, 3254])).
% 19.27/19.54 tff(3292,plain,
% 19.27/19.54 (((~![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(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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3293,plain,
% 19.27/19.54 (((~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)))),
% 19.27/19.54 inference(rewrite,[status(thm)],[])).
% 19.27/19.54 tff(3294,plain,
% 19.27/19.54 (((~![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))))),
% 19.27/19.55 inference(monotonicity,[status(thm)],[3293])).
% 19.27/19.55 tff(3295,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(transitivity,[status(thm)],[3294, 3292])).
% 19.27/19.55 tff(3296,plain,
% 19.27/19.55 ((~![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)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3297,plain,
% 19.27/19.55 ((~![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(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 19.27/19.55 tff(3298,plain,
% 19.27/19.55 (~m_main_v_state2(s35, c_n2)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3297, 416, 3139, 3231])).
% 19.27/19.55 tff(3299,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3300,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3301,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 19.27/19.55 tff(3302,plain,
% 19.27/19.55 (~node9(s35)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3301, 311, 3298])).
% 19.27/19.55 tff(3303,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3304,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3305,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 19.27/19.55 tff(3306,plain,
% 19.27/19.55 (~node10(s35)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3305, 372, 3298])).
% 19.27/19.55 tff(3307,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3308,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3309,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 19.27/19.55 tff(3310,plain,
% 19.27/19.55 (~node8(s35)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3309, 383, 3298])).
% 19.27/19.55 tff(3311,plain,
% 19.27/19.55 (((~![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))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3312,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3313,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 19.27/19.55 tff(3314,plain,
% 19.27/19.55 (node14(s35, s36)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3313, 130, 3245])).
% 19.27/19.55 tff(3315,plain,
% 19.27/19.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3316,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3317,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 19.27/19.55 tff(3318,plain,
% 19.27/19.55 ((~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)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3317, 704, 3314])).
% 19.27/19.55 tff(3319,plain,
% 19.27/19.55 (m_main_v_state2(s36, c_c2)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3318, 3310, 3182, 3238, 3306, 3302])).
% 19.27/19.55 tff(3320,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3321,plain,
% 19.27/19.55 ((~![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)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3322,plain,
% 19.27/19.55 ((~![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))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 19.27/19.55 tff(3323,plain,
% 19.27/19.55 (~m_main_v_state2(s36, c_n2)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3322, 716, 3319])).
% 19.27/19.55 tff(3324,plain,
% 19.27/19.55 (((~![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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3325,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3326,plain,
% 19.27/19.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 19.27/19.55 tff(3327,plain,
% 19.27/19.55 (~node4(s36)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3326, 162, 3323])).
% 19.27/19.55 tff(3328,plain,
% 19.27/19.55 (succ(s36, s37) <=> succ(s36, s37)),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3329,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 19.27/19.55 tff(3330,plain,
% 19.27/19.55 (succ(s36, s37)),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 19.27/19.55 tff(3331,plain,
% 19.27/19.55 (((~![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))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3332,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3333,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 19.27/19.55 tff(3334,plain,
% 19.27/19.55 (trans(s36, s37)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3333, 3330, 57])).
% 19.27/19.55 tff(3335,plain,
% 19.27/19.55 (((~![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))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3336,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3337,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 19.27/19.55 tff(3338,plain,
% 19.27/19.55 (node7(s36, s37)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3337, 217, 3334])).
% 19.27/19.55 tff(3339,plain,
% 19.27/19.55 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3340,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 19.27/19.55 inference(quant_inst,[status(thm)],[])).
% 19.27/19.55 tff(3341,plain,
% 19.27/19.55 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 19.27/19.55 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 19.27/19.55 tff(3342,plain,
% 19.27/19.55 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3341, 745, 3338])).
% 19.27/19.55 tff(3343,plain,
% 19.27/19.55 (node6(s36, s37)),
% 19.27/19.55 inference(unit_resolution,[status(thm)],[3342, 3327, 3291, 3287, 3283, 3279, 3262])).
% 19.27/19.55 tff(3344,plain,
% 19.27/19.55 (((~![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(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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3345,plain,
% 19.27/19.55 (((~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)))),
% 19.27/19.55 inference(rewrite,[status(thm)],[])).
% 19.27/19.55 tff(3346,plain,
% 19.27/19.55 (((~![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))))),
% 19.27/19.55 inference(monotonicity,[status(thm)],[3345])).
% 19.27/19.55 tff(3347,plain,
% 19.27/19.55 (((~![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)))),
% 19.36/19.56 inference(transitivity,[status(thm)],[3346, 3344])).
% 19.36/19.56 tff(3348,plain,
% 19.36/19.56 ((~![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))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3349,plain,
% 19.36/19.56 ((~![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(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 19.36/19.56 tff(3350,plain,
% 19.36/19.56 (m_main_v_state1(s37, c_t1)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3349, 760, 3254, 3343])).
% 19.36/19.56 tff(3351,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3352,plain,
% 19.36/19.56 ((~![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)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3353,plain,
% 19.36/19.56 ((~![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))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 19.36/19.56 tff(3354,plain,
% 19.36/19.56 (~m_main_v_state2(s36, c_t2)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3353, 173, 3319])).
% 19.36/19.56 tff(3355,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3356,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3357,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 19.36/19.56 tff(3358,plain,
% 19.36/19.56 (~node12(s36)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3357, 778, 3354])).
% 19.36/19.56 tff(3359,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3360,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3361,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 19.36/19.56 tff(3362,plain,
% 19.36/19.56 (~node11(s36)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3361, 361, 3258])).
% 19.36/19.56 tff(3363,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3364,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3365,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 19.36/19.56 tff(3366,plain,
% 19.36/19.56 (~node10(s36)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3365, 793, 3291])).
% 19.36/19.56 tff(3367,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3368,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3369,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 19.36/19.56 tff(3370,plain,
% 19.36/19.56 (~node9(s36)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3369, 804, 3258])).
% 19.36/19.56 tff(3371,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3372,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3373,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 19.36/19.56 tff(3374,plain,
% 19.36/19.56 (~node8(s36)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3373, 383, 3323])).
% 19.36/19.56 tff(3375,plain,
% 19.36/19.56 (((~![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))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3376,plain,
% 19.36/19.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3377,plain,
% 19.36/19.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 19.36/19.56 tff(3378,plain,
% 19.36/19.56 (node14(s36, s37)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3377, 130, 3334])).
% 19.36/19.56 tff(3379,plain,
% 19.36/19.56 (((~![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(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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3380,plain,
% 19.36/19.56 (((~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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3381,plain,
% 19.36/19.56 (((~![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(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))))),
% 19.36/19.56 inference(monotonicity,[status(thm)],[3380])).
% 19.36/19.56 tff(3382,plain,
% 19.36/19.56 (((~![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(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)))),
% 19.36/19.56 inference(transitivity,[status(thm)],[3381, 3379])).
% 19.36/19.56 tff(3383,plain,
% 19.36/19.56 ((~![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(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3384,plain,
% 19.36/19.56 ((~![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(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 19.36/19.56 tff(3385,plain,
% 19.36/19.56 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3384, 826, 3378])).
% 19.36/19.56 tff(3386,plain,
% 19.36/19.56 (m_main_v_state2(s37, c_n2)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3385, 3374, 3319, 3370, 3366, 3362, 3358])).
% 19.36/19.56 tff(3387,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3388,plain,
% 19.36/19.56 ((~![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)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3389,plain,
% 19.36/19.56 ((~![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))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 19.36/19.56 tff(3390,plain,
% 19.36/19.56 (~m_main_v_state2(s37, c_t2)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3389, 10, 3386])).
% 19.36/19.56 tff(3391,plain,
% 19.36/19.56 (((~![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)))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3392,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3393,plain,
% 19.36/19.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 19.36/19.56 tff(3394,plain,
% 19.36/19.56 (~node15(s37)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3393, 21, 3390])).
% 19.36/19.56 tff(3395,plain,
% 19.36/19.56 (succ(s37, s38) <=> succ(s37, s38)),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3396,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 19.36/19.56 tff(3397,plain,
% 19.36/19.56 (succ(s37, s38)),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 19.36/19.56 tff(3398,plain,
% 19.36/19.56 (((~![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))),
% 19.36/19.56 inference(rewrite,[status(thm)],[])).
% 19.36/19.56 tff(3399,plain,
% 19.36/19.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 19.36/19.56 inference(quant_inst,[status(thm)],[])).
% 19.36/19.56 tff(3400,plain,
% 19.36/19.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 19.36/19.56 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 19.36/19.56 tff(3401,plain,
% 19.36/19.56 (trans(s37, s38)),
% 19.36/19.56 inference(unit_resolution,[status(thm)],[3400, 3397, 57])).
% 19.36/19.56 tff(3402,plain,
% 19.36/19.56 (((~![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))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3403,plain,
% 19.36/19.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3404,plain,
% 19.36/19.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 19.36/19.57 tff(3405,plain,
% 19.36/19.57 (node18(s37, s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3404, 71, 3401])).
% 19.36/19.57 tff(3406,plain,
% 19.36/19.57 (((~![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(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))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3407,plain,
% 19.36/19.57 (((~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))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3408,plain,
% 19.36/19.57 (((~![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(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)))),
% 19.36/19.57 inference(monotonicity,[status(thm)],[3407])).
% 19.36/19.57 tff(3409,plain,
% 19.36/19.57 (((~![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(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))),
% 19.36/19.57 inference(transitivity,[status(thm)],[3408, 3406])).
% 19.36/19.57 tff(3410,plain,
% 19.36/19.57 ((~![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(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3411,plain,
% 19.36/19.57 ((~![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(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)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 19.36/19.57 tff(3412,plain,
% 19.36/19.57 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3411, 863, 3405])).
% 19.36/19.57 tff(3413,plain,
% 19.36/19.57 (m_main_v_turn(s38, c_1)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3412, 3394, 3386, 3350])).
% 19.36/19.57 tff(3414,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3415,plain,
% 19.36/19.57 ((~![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)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3416,plain,
% 19.36/19.57 ((~![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))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 19.36/19.57 tff(3417,plain,
% 19.36/19.57 (~m_main_v_turn(s38, c_2)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3416, 322, 3413])).
% 19.36/19.57 tff(3418,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3419,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3420,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 19.36/19.57 tff(3421,plain,
% 19.36/19.57 (~node12(s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3420, 350, 3417])).
% 19.36/19.57 tff(3422,plain,
% 19.36/19.57 (((~![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))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3423,plain,
% 19.36/19.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3424,plain,
% 19.36/19.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 19.36/19.57 tff(3425,plain,
% 19.36/19.57 (node14(s37, s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3424, 130, 3401])).
% 19.36/19.57 tff(3426,plain,
% 19.36/19.57 (((~![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(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))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3427,plain,
% 19.36/19.57 ((~![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(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3428,plain,
% 19.36/19.57 ((~![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(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 19.36/19.57 tff(3429,plain,
% 19.36/19.57 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3428, 893, 3425])).
% 19.36/19.57 tff(3430,plain,
% 19.36/19.57 (m_main_v_state2(s38, c_t2)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3429, 3350, 3386])).
% 19.36/19.57 tff(3431,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3432,plain,
% 19.36/19.57 ((~![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)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3433,plain,
% 19.36/19.57 ((~![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))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 19.36/19.57 tff(3434,plain,
% 19.36/19.57 (~m_main_v_state2(s38, c_n2)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3433, 10, 3430])).
% 19.36/19.57 tff(3435,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3436,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3437,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 19.36/19.57 tff(3438,plain,
% 19.36/19.57 (~node8(s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3437, 383, 3434])).
% 19.36/19.57 tff(3439,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3440,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3441,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 19.36/19.57 tff(3442,plain,
% 19.36/19.57 (~node9(s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3441, 311, 3434])).
% 19.36/19.57 tff(3443,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3444,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3445,plain,
% 19.36/19.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 19.36/19.57 tff(3446,plain,
% 19.36/19.57 (~node10(s38)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3445, 372, 3434])).
% 19.36/19.57 tff(3447,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3448,plain,
% 19.36/19.57 ((~![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)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3449,plain,
% 19.36/19.57 ((~![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))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 19.36/19.57 tff(3450,plain,
% 19.36/19.57 (~m_main_v_state2(s38, c_c2)),
% 19.36/19.57 inference(unit_resolution,[status(thm)],[3449, 173, 3430])).
% 19.36/19.57 tff(3451,plain,
% 19.36/19.57 (((~![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)))),
% 19.36/19.57 inference(rewrite,[status(thm)],[])).
% 19.36/19.57 tff(3452,plain,
% 19.36/19.57 ((~![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)))),
% 19.36/19.57 inference(quant_inst,[status(thm)],[])).
% 19.36/19.57 tff(3453,plain,
% 19.36/19.57 ((~![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))),
% 19.36/19.57 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 19.36/19.57 tff(3454,plain,
% 19.36/19.57 (~m_main_v_state2(s37, c_c2)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3453, 716, 3386])).
% 19.36/19.58 tff(3455,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3456,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3457,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 19.36/19.58 tff(3458,plain,
% 19.36/19.58 (~node3(s37)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3457, 184, 3454])).
% 19.36/19.58 tff(3459,plain,
% 19.36/19.58 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3460,plain,
% 19.36/19.58 (((~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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3461,plain,
% 19.36/19.58 (((~![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))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[3460])).
% 19.36/19.58 tff(3462,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(transitivity,[status(thm)],[3461, 3459])).
% 19.36/19.58 tff(3463,plain,
% 19.36/19.58 ((~![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)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3464,plain,
% 19.36/19.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 19.36/19.58 tff(3465,plain,
% 19.36/19.58 (~m_main_v_state1(s37, c_n1)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3464, 936, 3258, 3343])).
% 19.36/19.58 tff(3466,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3467,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3468,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 19.36/19.58 tff(3469,plain,
% 19.36/19.58 (~node2(s37)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3468, 652, 3465])).
% 19.36/19.58 tff(3470,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3471,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3472,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 19.36/19.58 tff(3473,plain,
% 19.36/19.58 (~node1(s37)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3472, 206, 3390])).
% 19.36/19.58 tff(3474,plain,
% 19.36/19.58 (((~![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))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3475,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3476,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 19.36/19.58 tff(3477,plain,
% 19.36/19.58 (node7(s37, s38)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3476, 217, 3401])).
% 19.36/19.58 tff(3478,plain,
% 19.36/19.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3479,plain,
% 19.36/19.58 (((~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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3480,plain,
% 19.36/19.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 19.36/19.58 inference(monotonicity,[status(thm)],[3479])).
% 19.36/19.58 tff(3481,plain,
% 19.36/19.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.36/19.58 inference(transitivity,[status(thm)],[3480, 3478])).
% 19.36/19.58 tff(3482,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3483,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 19.36/19.58 tff(3484,plain,
% 19.36/19.58 ((~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)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3483, 965, 3477])).
% 19.36/19.58 tff(3485,plain,
% 19.36/19.58 (m_main_v_state1(s38, c_c1)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3484, 3473, 3386, 3350, 3469, 3458])).
% 19.36/19.58 tff(3486,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3487,plain,
% 19.36/19.58 ((~![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)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3488,plain,
% 19.36/19.58 ((~![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))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 19.36/19.58 tff(3489,plain,
% 19.36/19.58 (~m_main_v_state1(s38, c_n1)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3488, 449, 3485])).
% 19.36/19.58 tff(3490,plain,
% 19.36/19.58 (((~![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)))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3491,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3492,plain,
% 19.36/19.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 19.36/19.58 tff(3493,plain,
% 19.36/19.58 (~node11(s38)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3492, 361, 3489])).
% 19.36/19.58 tff(3494,plain,
% 19.36/19.58 (succ(s38, s39) <=> succ(s38, s39)),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3495,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 19.36/19.58 tff(3496,plain,
% 19.36/19.58 (succ(s38, s39)),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 19.36/19.58 tff(3497,plain,
% 19.36/19.58 (((~![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))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3498,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3499,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 19.36/19.58 tff(3500,plain,
% 19.36/19.58 (trans(s38, s39)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3499, 3496, 57])).
% 19.36/19.58 tff(3501,plain,
% 19.36/19.58 (((~![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))),
% 19.36/19.58 inference(rewrite,[status(thm)],[])).
% 19.36/19.58 tff(3502,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 19.36/19.58 inference(quant_inst,[status(thm)],[])).
% 19.36/19.58 tff(3503,plain,
% 19.36/19.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 19.36/19.58 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 19.36/19.58 tff(3504,plain,
% 19.36/19.58 (node14(s38, s39)),
% 19.36/19.58 inference(unit_resolution,[status(thm)],[3503, 130, 3500])).
% 19.36/19.58 tff(3505,plain,
% 19.36/19.58 (((~![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(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)))),
% 19.36/19.59 inference(rewrite,[status(thm)],[])).
% 19.36/19.59 tff(3506,plain,
% 19.36/19.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(3507,plain,
% 19.36/19.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39))),
% 19.36/19.59 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 19.36/19.59 tff(3508,plain,
% 19.36/19.59 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[3507, 401, 3504])).
% 19.36/19.59 tff(3509,plain,
% 19.36/19.59 (node13(s38, s39)),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[3508, 3493, 3450, 3446, 3442, 3438, 3421])).
% 19.36/19.59 tff(3510,plain,
% 19.36/19.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 19.36/19.59 inference(rewrite,[status(thm)],[])).
% 19.36/19.59 tff(3511,plain,
% 19.36/19.59 (((~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)))),
% 19.36/19.59 inference(rewrite,[status(thm)],[])).
% 19.36/19.59 tff(3512,plain,
% 19.36/19.59 (((~![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))))),
% 19.36/19.59 inference(monotonicity,[status(thm)],[3511])).
% 19.36/19.59 tff(3513,plain,
% 19.36/19.59 (((~![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)))),
% 19.36/19.59 inference(transitivity,[status(thm)],[3512, 3510])).
% 19.36/19.59 tff(3514,plain,
% 19.36/19.59 ((~![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)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(3515,plain,
% 19.36/19.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 19.36/19.59 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 19.36/19.59 tff(3516,plain,
% 19.36/19.59 (~m_main_v_state2(s39, c_n2)),
% 19.36/19.59 inference(unit_resolution,[status(thm)],[3515, 416, 3434, 3509])).
% 19.36/19.59 tff(3517,plain,
% 19.36/19.59 (((~![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)))),
% 19.36/19.59 inference(rewrite,[status(thm)],[])).
% 19.36/19.59 tff(3518,plain,
% 19.36/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 19.36/19.59 inference(quant_inst,[status(thm)],[])).
% 19.36/19.59 tff(3519,plain,
% 19.36/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 19.39/19.59 tff(3520,plain,
% 19.39/19.59 (~node9(s39)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3519, 311, 3516])).
% 19.39/19.59 tff(3521,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3522,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3523,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 19.39/19.59 tff(3524,plain,
% 19.39/19.59 (~node10(s39)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3523, 372, 3516])).
% 19.39/19.59 tff(3525,plain,
% 19.39/19.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3526,plain,
% 19.39/19.59 (((~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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3527,plain,
% 19.39/19.59 (((~![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))))),
% 19.39/19.59 inference(monotonicity,[status(thm)],[3526])).
% 19.39/19.59 tff(3528,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(transitivity,[status(thm)],[3527, 3525])).
% 19.39/19.59 tff(3529,plain,
% 19.39/19.59 ((~![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))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3530,plain,
% 19.39/19.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 19.39/19.59 tff(3531,plain,
% 19.39/19.59 (m_main_v_state2(s39, c_t2)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3530, 563, 3430, 3509])).
% 19.39/19.59 tff(3532,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3533,plain,
% 19.39/19.59 ((~![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)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3534,plain,
% 19.39/19.59 ((~![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))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 19.39/19.59 tff(3535,plain,
% 19.39/19.59 (~m_main_v_state1(s38, c_t1)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3534, 289, 3485])).
% 19.39/19.59 tff(3536,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3537,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3538,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 19.39/19.59 tff(3539,plain,
% 19.39/19.59 (~node5(s38)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3538, 300, 3535])).
% 19.39/19.59 tff(3540,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3541,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3542,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 19.39/19.59 tff(3543,plain,
% 19.39/19.59 (~node4(s38)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3542, 162, 3434])).
% 19.39/19.59 tff(3544,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3545,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3546,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 19.39/19.59 tff(3547,plain,
% 19.39/19.59 (~node3(s38)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3546, 184, 3450])).
% 19.39/19.59 tff(3548,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3549,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3550,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 19.39/19.59 tff(3551,plain,
% 19.39/19.59 (~node2(s38)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3550, 195, 3434])).
% 19.39/19.59 tff(3552,plain,
% 19.39/19.59 (((~![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)))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3553,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3554,plain,
% 19.39/19.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 19.39/19.59 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 19.39/19.59 tff(3555,plain,
% 19.39/19.59 (~node1(s38)),
% 19.39/19.59 inference(unit_resolution,[status(thm)],[3554, 249, 3489])).
% 19.39/19.59 tff(3556,plain,
% 19.39/19.59 (((~![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))),
% 19.39/19.59 inference(rewrite,[status(thm)],[])).
% 19.39/19.59 tff(3557,plain,
% 19.39/19.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 19.39/19.59 inference(quant_inst,[status(thm)],[])).
% 19.39/19.59 tff(3558,plain,
% 19.39/19.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 19.39/19.60 tff(3559,plain,
% 19.39/19.60 (node7(s38, s39)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3558, 217, 3500])).
% 19.39/19.60 tff(3560,plain,
% 19.39/19.60 (((~![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(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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3561,plain,
% 19.39/19.60 (((~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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3562,plain,
% 19.39/19.60 (((~![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(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))))),
% 19.39/19.60 inference(monotonicity,[status(thm)],[3561])).
% 19.39/19.60 tff(3563,plain,
% 19.39/19.60 (((~![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(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)))),
% 19.39/19.60 inference(transitivity,[status(thm)],[3562, 3560])).
% 19.39/19.60 tff(3564,plain,
% 19.39/19.60 ((~![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(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3565,plain,
% 19.39/19.60 ((~![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(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 19.39/19.60 tff(3566,plain,
% 19.39/19.60 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3565, 478, 3559])).
% 19.39/19.60 tff(3567,plain,
% 19.39/19.60 (m_main_v_state1(s39, c_n1)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3566, 3555, 3485, 3551, 3547, 3543, 3539])).
% 19.39/19.60 tff(3568,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3569,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3570,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 19.39/19.60 tff(3571,plain,
% 19.39/19.60 (~node8(s39)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3570, 383, 3516])).
% 19.39/19.60 tff(3572,plain,
% 19.39/19.60 (succ(s39, s40) <=> succ(s39, s40)),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3573,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 19.39/19.60 tff(3574,plain,
% 19.39/19.60 (succ(s39, s40)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 19.39/19.60 tff(3575,plain,
% 19.39/19.60 (((~![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))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3576,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3577,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 19.39/19.60 tff(3578,plain,
% 19.39/19.60 (trans(s39, s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3577, 3574, 57])).
% 19.39/19.60 tff(3579,plain,
% 19.39/19.60 (((~![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))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3580,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3581,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 19.39/19.60 tff(3582,plain,
% 19.39/19.60 (node14(s39, s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3581, 130, 3578])).
% 19.39/19.60 tff(3583,plain,
% 19.39/19.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3584,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3585,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 19.39/19.60 tff(3586,plain,
% 19.39/19.60 ((~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)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3585, 704, 3582])).
% 19.39/19.60 tff(3587,plain,
% 19.39/19.60 (m_main_v_state2(s40, c_c2)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3586, 3571, 3567, 3531, 3524, 3520])).
% 19.39/19.60 tff(3588,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3589,plain,
% 19.39/19.60 ((~![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)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3590,plain,
% 19.39/19.60 ((~![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))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 19.39/19.60 tff(3591,plain,
% 19.39/19.60 (~m_main_v_state2(s40, c_t2)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3590, 173, 3587])).
% 19.39/19.60 tff(3592,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3593,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3594,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 19.39/19.60 tff(3595,plain,
% 19.39/19.60 (~node12(s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3594, 778, 3591])).
% 19.39/19.60 tff(3596,plain,
% 19.39/19.60 (((~![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))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3597,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3598,plain,
% 19.39/19.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 19.39/19.60 tff(3599,plain,
% 19.39/19.60 (node7(s39, s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3598, 217, 3578])).
% 19.39/19.60 tff(3600,plain,
% 19.39/19.60 (((~![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(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))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3601,plain,
% 19.39/19.60 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3602,plain,
% 19.39/19.60 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1)),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 19.39/19.60 tff(3603,plain,
% 19.39/19.60 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3602, 598, 3599])).
% 19.39/19.60 tff(3604,plain,
% 19.39/19.60 (m_main_v_state1(s40, c_t1)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3603, 3531, 3567])).
% 19.39/19.60 tff(3605,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3606,plain,
% 19.39/19.60 ((~![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)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3607,plain,
% 19.39/19.60 ((~![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))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 19.39/19.60 tff(3608,plain,
% 19.39/19.60 (~m_main_v_state1(s40, c_n1)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3607, 35, 3604])).
% 19.39/19.60 tff(3609,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3610,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3611,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 19.39/19.60 tff(3612,plain,
% 19.39/19.60 (~node11(s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3611, 361, 3608])).
% 19.39/19.60 tff(3613,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3614,plain,
% 19.39/19.60 ((~![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)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3615,plain,
% 19.39/19.60 ((~![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))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 19.39/19.60 tff(3616,plain,
% 19.39/19.60 (~m_main_v_state1(s40, c_c1)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3615, 289, 3604])).
% 19.39/19.60 tff(3617,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3618,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3619,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 19.39/19.60 tff(3620,plain,
% 19.39/19.60 (~node10(s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3619, 793, 3616])).
% 19.39/19.60 tff(3621,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3622,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3623,plain,
% 19.39/19.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 19.39/19.60 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 19.39/19.60 tff(3624,plain,
% 19.39/19.60 (~node9(s40)),
% 19.39/19.60 inference(unit_resolution,[status(thm)],[3623, 804, 3608])).
% 19.39/19.60 tff(3625,plain,
% 19.39/19.60 (((~![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)))),
% 19.39/19.60 inference(rewrite,[status(thm)],[])).
% 19.39/19.60 tff(3626,plain,
% 19.39/19.60 ((~![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)))),
% 19.39/19.60 inference(quant_inst,[status(thm)],[])).
% 19.39/19.60 tff(3627,plain,
% 19.39/19.60 ((~![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))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 19.39/19.61 tff(3628,plain,
% 19.39/19.61 (~m_main_v_state2(s40, c_n2)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3627, 716, 3587])).
% 19.39/19.61 tff(3629,plain,
% 19.39/19.61 (((~![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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3630,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3631,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 19.39/19.61 tff(3632,plain,
% 19.39/19.61 (~node8(s40)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3631, 383, 3628])).
% 19.39/19.61 tff(3633,plain,
% 19.39/19.61 (succ(s40, s41) <=> succ(s40, s41)),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3634,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 19.39/19.61 tff(3635,plain,
% 19.39/19.61 (succ(s40, s41)),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 19.39/19.61 tff(3636,plain,
% 19.39/19.61 (((~![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))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3637,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3638,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 19.39/19.61 tff(3639,plain,
% 19.39/19.61 (trans(s40, s41)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3638, 3635, 57])).
% 19.39/19.61 tff(3640,plain,
% 19.39/19.61 (((~![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))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3641,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3642,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 19.39/19.61 tff(3643,plain,
% 19.39/19.61 (node14(s40, s41)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3642, 130, 3639])).
% 19.39/19.61 tff(3644,plain,
% 19.39/19.61 (((~![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(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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3645,plain,
% 19.39/19.61 (((~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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3646,plain,
% 19.39/19.61 (((~![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(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))))),
% 19.39/19.61 inference(monotonicity,[status(thm)],[3645])).
% 19.39/19.61 tff(3647,plain,
% 19.39/19.61 (((~![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(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)))),
% 19.39/19.61 inference(transitivity,[status(thm)],[3646, 3644])).
% 19.39/19.61 tff(3648,plain,
% 19.39/19.61 ((~![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(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3649,plain,
% 19.39/19.61 ((~![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(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 19.39/19.61 tff(3650,plain,
% 19.39/19.61 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3649, 826, 3643])).
% 19.39/19.61 tff(3651,plain,
% 19.39/19.61 (m_main_v_state2(s41, c_n2)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3650, 3632, 3587, 3624, 3620, 3612, 3595])).
% 19.39/19.61 tff(3652,plain,
% 19.39/19.61 (((~![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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3653,plain,
% 19.39/19.61 ((~![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)))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3654,plain,
% 19.39/19.61 ((~![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))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 19.39/19.61 tff(3655,plain,
% 19.39/19.61 (~m_main_v_state2(s41, c_c2)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3654, 716, 3651])).
% 19.39/19.61 tff(3656,plain,
% 19.39/19.61 (((~![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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3657,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3658,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 19.39/19.61 tff(3659,plain,
% 19.39/19.61 (~node3(s41)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3658, 184, 3655])).
% 19.39/19.61 tff(3660,plain,
% 19.39/19.61 (((~![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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3661,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3662,plain,
% 19.39/19.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 19.39/19.61 tff(3663,plain,
% 19.39/19.61 (~node1(s40)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3662, 249, 3608])).
% 19.39/19.61 tff(3664,plain,
% 19.39/19.61 (((~![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))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3665,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3666,plain,
% 19.39/19.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 19.39/19.61 tff(3667,plain,
% 19.39/19.61 (node18(s39, s40)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3666, 71, 3578])).
% 19.39/19.61 tff(3668,plain,
% 19.39/19.61 (((~![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(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))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3669,plain,
% 19.39/19.61 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3670,plain,
% 19.39/19.61 ((~![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(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 19.39/19.61 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 19.39/19.61 tff(3671,plain,
% 19.39/19.61 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3670, 625, 3667])).
% 19.39/19.61 tff(3672,plain,
% 19.39/19.61 (m_main_v_turn(s40, c_2)),
% 19.39/19.61 inference(unit_resolution,[status(thm)],[3671, 3531, 3567])).
% 19.39/19.61 tff(3673,plain,
% 19.39/19.61 (((~![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)))),
% 19.39/19.61 inference(rewrite,[status(thm)],[])).
% 19.39/19.61 tff(3674,plain,
% 19.39/19.61 ((~![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)))),
% 19.39/19.61 inference(quant_inst,[status(thm)],[])).
% 19.39/19.61 tff(3675,plain,
% 19.39/19.61 ((~![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))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 19.39/19.62 tff(3676,plain,
% 19.39/19.62 (~m_main_v_turn(s40, c_1)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3675, 322, 3672])).
% 19.39/19.62 tff(3677,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3678,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3679,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 19.39/19.62 tff(3680,plain,
% 19.39/19.62 (~node5(s40)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3679, 641, 3676])).
% 19.39/19.62 tff(3681,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3682,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3683,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 19.39/19.62 tff(3684,plain,
% 19.39/19.62 (~node2(s40)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3683, 652, 3608])).
% 19.39/19.62 tff(3685,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3686,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3687,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 19.39/19.62 tff(3688,plain,
% 19.39/19.62 (~node3(s40)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3687, 663, 3608])).
% 19.39/19.62 tff(3689,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3690,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3691,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 19.39/19.62 tff(3692,plain,
% 19.39/19.62 (~node4(s40)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3691, 162, 3628])).
% 19.39/19.62 tff(3693,plain,
% 19.39/19.62 (((~![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))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3694,plain,
% 19.39/19.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3695,plain,
% 19.39/19.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 19.39/19.62 tff(3696,plain,
% 19.39/19.62 (node7(s40, s41)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3695, 217, 3639])).
% 19.39/19.62 tff(3697,plain,
% 19.39/19.62 (((~![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(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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3698,plain,
% 19.39/19.62 ((~![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(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3699,plain,
% 19.39/19.62 ((~![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(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 19.39/19.62 tff(3700,plain,
% 19.39/19.62 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3699, 745, 3696])).
% 19.39/19.62 tff(3701,plain,
% 19.39/19.62 (node6(s40, s41)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3700, 3692, 3616, 3688, 3684, 3680, 3663])).
% 19.39/19.62 tff(3702,plain,
% 19.39/19.62 (((~![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(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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3703,plain,
% 19.39/19.62 (((~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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3704,plain,
% 19.39/19.62 (((~![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))))),
% 19.39/19.62 inference(monotonicity,[status(thm)],[3703])).
% 19.39/19.62 tff(3705,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(transitivity,[status(thm)],[3704, 3702])).
% 19.39/19.62 tff(3706,plain,
% 19.39/19.62 ((~![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)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3707,plain,
% 19.39/19.62 ((~![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(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 19.39/19.62 tff(3708,plain,
% 19.39/19.62 (~m_main_v_state1(s41, c_n1)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3707, 936, 3608, 3701])).
% 19.39/19.62 tff(3709,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3710,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3711,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 19.39/19.62 tff(3712,plain,
% 19.39/19.62 (~node2(s41)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3711, 652, 3708])).
% 19.39/19.62 tff(3713,plain,
% 19.39/19.62 (((~![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(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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3714,plain,
% 19.39/19.62 (((~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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3715,plain,
% 19.39/19.62 (((~![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))))),
% 19.39/19.62 inference(monotonicity,[status(thm)],[3714])).
% 19.39/19.62 tff(3716,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(transitivity,[status(thm)],[3715, 3713])).
% 19.39/19.62 tff(3717,plain,
% 19.39/19.62 ((~![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))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3718,plain,
% 19.39/19.62 ((~![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(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 19.39/19.62 tff(3719,plain,
% 19.39/19.62 (m_main_v_state1(s41, c_t1)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3718, 760, 3604, 3701])).
% 19.39/19.62 tff(3720,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3721,plain,
% 19.39/19.62 ((~![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)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3722,plain,
% 19.39/19.62 ((~![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))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 19.39/19.62 tff(3723,plain,
% 19.39/19.62 (~m_main_v_state2(s41, c_t2)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3722, 10, 3651])).
% 19.39/19.62 tff(3724,plain,
% 19.39/19.62 (((~![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)))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3725,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3726,plain,
% 19.39/19.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 19.39/19.62 tff(3727,plain,
% 19.39/19.62 (~node1(s41)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3726, 206, 3723])).
% 19.39/19.62 tff(3728,plain,
% 19.39/19.62 (succ(s41, s42) <=> succ(s41, s42)),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3729,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 19.39/19.62 tff(3730,plain,
% 19.39/19.62 (succ(s41, s42)),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 19.39/19.62 tff(3731,plain,
% 19.39/19.62 (((~![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))),
% 19.39/19.62 inference(rewrite,[status(thm)],[])).
% 19.39/19.62 tff(3732,plain,
% 19.39/19.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 19.39/19.62 inference(quant_inst,[status(thm)],[])).
% 19.39/19.62 tff(3733,plain,
% 19.39/19.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 19.39/19.62 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 19.39/19.62 tff(3734,plain,
% 19.39/19.62 (trans(s41, s42)),
% 19.39/19.62 inference(unit_resolution,[status(thm)],[3733, 3730, 57])).
% 19.39/19.62 tff(3735,plain,
% 19.39/19.62 (((~![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))),
% 19.39/19.63 inference(rewrite,[status(thm)],[])).
% 19.39/19.63 tff(3736,plain,
% 19.39/19.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 19.39/19.63 inference(quant_inst,[status(thm)],[])).
% 19.39/19.63 tff(3737,plain,
% 19.39/19.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 19.39/19.63 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 19.39/19.63 tff(3738,plain,
% 19.39/19.63 (node7(s41, s42)),
% 19.39/19.63 inference(unit_resolution,[status(thm)],[3737, 217, 3734])).
% 19.39/19.63 tff(3739,plain,
% 19.39/19.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.39/19.63 inference(rewrite,[status(thm)],[])).
% 19.39/19.63 tff(3740,plain,
% 19.39/19.63 (((~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)))),
% 19.39/19.63 inference(rewrite,[status(thm)],[])).
% 19.39/19.63 tff(3741,plain,
% 19.39/19.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 19.39/19.63 inference(monotonicity,[status(thm)],[3740])).
% 19.39/19.63 tff(3742,plain,
% 19.39/19.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 19.39/19.63 inference(transitivity,[status(thm)],[3741, 3739])).
% 19.39/19.63 tff(3743,plain,
% 19.39/19.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 19.39/19.63 inference(quant_inst,[status(thm)],[])).
% 19.39/19.63 tff(3744,plain,
% 19.39/19.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 19.39/19.63 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 19.39/19.63 tff(3745,plain,
% 19.39/19.63 ((~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)),
% 19.39/19.63 inference(unit_resolution,[status(thm)],[3744, 965, 3738])).
% 19.39/19.63 tff(3746,plain,
% 19.39/19.63 (m_main_v_state1(s42, c_c1)),
% 19.39/19.63 inference(unit_resolution,[status(thm)],[3745, 3727, 3651, 3719, 3712, 3659])).
% 19.43/19.63 tff(3747,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3748,plain,
% 19.43/19.63 ((~![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)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3749,plain,
% 19.43/19.63 ((~![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))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 19.43/19.63 tff(3750,plain,
% 19.43/19.63 (~m_main_v_state1(s42, c_t1)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3749, 289, 3746])).
% 19.43/19.63 tff(3751,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3752,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3753,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 19.43/19.63 tff(3754,plain,
% 19.43/19.63 (~node5(s42)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3753, 300, 3750])).
% 19.43/19.63 tff(3755,plain,
% 19.43/19.63 (((~![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))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3756,plain,
% 19.43/19.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3757,plain,
% 19.43/19.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 19.43/19.63 tff(3758,plain,
% 19.43/19.63 (node14(s41, s42)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3757, 130, 3734])).
% 19.43/19.63 tff(3759,plain,
% 19.43/19.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3760,plain,
% 19.43/19.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3761,plain,
% 19.43/19.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 19.43/19.63 tff(3762,plain,
% 19.43/19.63 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3761, 893, 3758])).
% 19.43/19.63 tff(3763,plain,
% 19.43/19.63 (m_main_v_state2(s42, c_t2)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3762, 3719, 3651])).
% 19.43/19.63 tff(3764,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3765,plain,
% 19.43/19.63 ((~![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)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3766,plain,
% 19.43/19.63 ((~![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))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 19.43/19.63 tff(3767,plain,
% 19.43/19.63 (~m_main_v_state2(s42, c_n2)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3766, 10, 3763])).
% 19.43/19.63 tff(3768,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3769,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3770,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 19.43/19.63 tff(3771,plain,
% 19.43/19.63 (~node4(s42)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3770, 162, 3767])).
% 19.43/19.63 tff(3772,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3773,plain,
% 19.43/19.63 ((~![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)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3774,plain,
% 19.43/19.63 ((~![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))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 19.43/19.63 tff(3775,plain,
% 19.43/19.63 (~m_main_v_state2(s42, c_c2)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3774, 173, 3763])).
% 19.43/19.63 tff(3776,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3777,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3778,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 19.43/19.63 tff(3779,plain,
% 19.43/19.63 (~node3(s42)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3778, 184, 3775])).
% 19.43/19.63 tff(3780,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3781,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 19.43/19.63 inference(quant_inst,[status(thm)],[])).
% 19.43/19.63 tff(3782,plain,
% 19.43/19.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 19.43/19.63 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 19.43/19.63 tff(3783,plain,
% 19.43/19.63 (~node2(s42)),
% 19.43/19.63 inference(unit_resolution,[status(thm)],[3782, 195, 3767])).
% 19.43/19.63 tff(3784,plain,
% 19.43/19.63 (((~![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)))),
% 19.43/19.63 inference(rewrite,[status(thm)],[])).
% 19.43/19.63 tff(3785,plain,
% 19.43/19.63 ((~![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)))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3786,plain,
% 19.44/19.64 ((~![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))),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 19.44/19.64 tff(3787,plain,
% 19.44/19.64 (~m_main_v_state1(s42, c_n1)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3786, 449, 3746])).
% 19.44/19.64 tff(3788,plain,
% 19.44/19.64 (((~![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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3789,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3790,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 19.44/19.64 tff(3791,plain,
% 19.44/19.64 (~node1(s42)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3790, 249, 3787])).
% 19.44/19.64 tff(3792,plain,
% 19.44/19.64 (succ(s42, s43) <=> succ(s42, s43)),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3793,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 19.44/19.64 tff(3794,plain,
% 19.44/19.64 (succ(s42, s43)),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 19.44/19.64 tff(3795,plain,
% 19.44/19.64 (((~![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))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3796,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3797,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 19.44/19.64 tff(3798,plain,
% 19.44/19.64 (trans(s42, s43)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3797, 3794, 57])).
% 19.44/19.64 tff(3799,plain,
% 19.44/19.64 (((~![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))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3800,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3801,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 19.44/19.64 tff(3802,plain,
% 19.44/19.64 (node7(s42, s43)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3801, 217, 3798])).
% 19.44/19.64 tff(3803,plain,
% 19.44/19.64 (((~![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(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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3804,plain,
% 19.44/19.64 (((~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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3805,plain,
% 19.44/19.64 (((~![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(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))))),
% 19.44/19.64 inference(monotonicity,[status(thm)],[3804])).
% 19.44/19.64 tff(3806,plain,
% 19.44/19.64 (((~![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(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)))),
% 19.44/19.64 inference(transitivity,[status(thm)],[3805, 3803])).
% 19.44/19.64 tff(3807,plain,
% 19.44/19.64 ((~![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(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3808,plain,
% 19.44/19.64 ((~![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(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 19.44/19.64 tff(3809,plain,
% 19.44/19.64 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3808, 478, 3802])).
% 19.44/19.64 tff(3810,plain,
% 19.44/19.64 (m_main_v_state1(s43, c_n1)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3809, 3791, 3746, 3783, 3779, 3771, 3754])).
% 19.44/19.64 tff(3811,plain,
% 19.44/19.64 (((~![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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3812,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3813,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 19.44/19.64 tff(3814,plain,
% 19.44/19.64 (~node15(s41)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3813, 21, 3723])).
% 19.44/19.64 tff(3815,plain,
% 19.44/19.64 (((~![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))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3816,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3817,plain,
% 19.44/19.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 19.44/19.64 tff(3818,plain,
% 19.44/19.64 (node18(s41, s42)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3817, 71, 3734])).
% 19.44/19.64 tff(3819,plain,
% 19.44/19.64 (((~![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(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))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3820,plain,
% 19.44/19.64 (((~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))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3821,plain,
% 19.44/19.64 (((~![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(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)))),
% 19.44/19.64 inference(monotonicity,[status(thm)],[3820])).
% 19.44/19.64 tff(3822,plain,
% 19.44/19.64 (((~![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(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))),
% 19.44/19.64 inference(transitivity,[status(thm)],[3821, 3819])).
% 19.44/19.64 tff(3823,plain,
% 19.44/19.64 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3824,plain,
% 19.44/19.64 ((~![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(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)),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 19.44/19.64 tff(3825,plain,
% 19.44/19.64 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3824, 863, 3818])).
% 19.44/19.64 tff(3826,plain,
% 19.44/19.64 (m_main_v_turn(s42, c_1)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3825, 3814, 3651, 3719])).
% 19.44/19.64 tff(3827,plain,
% 19.44/19.64 (((~![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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3828,plain,
% 19.44/19.64 ((~![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)))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3829,plain,
% 19.44/19.64 ((~![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))),
% 19.44/19.64 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 19.44/19.64 tff(3830,plain,
% 19.44/19.64 (~m_main_v_turn(s42, c_2)),
% 19.44/19.64 inference(unit_resolution,[status(thm)],[3829, 322, 3826])).
% 19.44/19.64 tff(3831,plain,
% 19.44/19.64 (((~![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)))),
% 19.44/19.64 inference(rewrite,[status(thm)],[])).
% 19.44/19.64 tff(3832,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 19.44/19.64 inference(quant_inst,[status(thm)],[])).
% 19.44/19.64 tff(3833,plain,
% 19.44/19.64 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 19.44/19.65 tff(3834,plain,
% 19.44/19.65 (~node12(s42)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3833, 350, 3830])).
% 19.44/19.65 tff(3835,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3836,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3837,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 19.44/19.65 tff(3838,plain,
% 19.44/19.65 (~node8(s42)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3837, 383, 3767])).
% 19.44/19.65 tff(3839,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3840,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3841,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 19.44/19.65 tff(3842,plain,
% 19.44/19.65 (~node9(s42)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3841, 311, 3767])).
% 19.44/19.65 tff(3843,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3844,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3845,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 19.44/19.65 tff(3846,plain,
% 19.44/19.65 (~node10(s42)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3845, 372, 3767])).
% 19.44/19.65 tff(3847,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3848,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3849,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 19.44/19.65 tff(3850,plain,
% 19.44/19.65 (~node11(s42)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3849, 361, 3787])).
% 19.44/19.65 tff(3851,plain,
% 19.44/19.65 (((~![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))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3852,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3853,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 19.44/19.65 tff(3854,plain,
% 19.44/19.65 (node14(s42, s43)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3853, 130, 3798])).
% 19.44/19.65 tff(3855,plain,
% 19.44/19.65 (((~![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(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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3856,plain,
% 19.44/19.65 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3857,plain,
% 19.44/19.65 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 19.44/19.65 tff(3858,plain,
% 19.44/19.65 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3857, 401, 3854])).
% 19.44/19.65 tff(3859,plain,
% 19.44/19.65 (node13(s42, s43)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3858, 3850, 3775, 3846, 3842, 3838, 3834])).
% 19.44/19.65 tff(3860,plain,
% 19.44/19.65 (((~![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(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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3861,plain,
% 19.44/19.65 (((~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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3862,plain,
% 19.44/19.65 (((~![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))))),
% 19.44/19.65 inference(monotonicity,[status(thm)],[3861])).
% 19.44/19.65 tff(3863,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(transitivity,[status(thm)],[3862, 3860])).
% 19.44/19.65 tff(3864,plain,
% 19.44/19.65 ((~![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))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3865,plain,
% 19.44/19.65 ((~![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(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 19.44/19.65 tff(3866,plain,
% 19.44/19.65 (m_main_v_state2(s43, c_t2)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3865, 563, 3763, 3859])).
% 19.44/19.65 tff(3867,plain,
% 19.44/19.65 (succ(s43, s44) <=> succ(s43, s44)),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3868,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 19.44/19.65 tff(3869,plain,
% 19.44/19.65 (succ(s43, s44)),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 19.44/19.65 tff(3870,plain,
% 19.44/19.65 (((~![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))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3871,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3872,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 19.44/19.65 tff(3873,plain,
% 19.44/19.65 (trans(s43, s44)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3872, 3869, 57])).
% 19.44/19.65 tff(3874,plain,
% 19.44/19.65 (((~![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))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3875,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3876,plain,
% 19.44/19.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 19.44/19.65 tff(3877,plain,
% 19.44/19.65 (node7(s43, s44)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3876, 217, 3873])).
% 19.44/19.65 tff(3878,plain,
% 19.44/19.65 (((~![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(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))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3879,plain,
% 19.44/19.65 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3880,plain,
% 19.44/19.65 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 19.44/19.65 tff(3881,plain,
% 19.44/19.65 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3880, 598, 3877])).
% 19.44/19.65 tff(3882,plain,
% 19.44/19.65 (m_main_v_state1(s44, c_t1)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3881, 3866, 3810])).
% 19.44/19.65 tff(3883,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3884,plain,
% 19.44/19.65 ((~![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)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3885,plain,
% 19.44/19.65 ((~![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))),
% 19.44/19.65 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 19.44/19.65 tff(3886,plain,
% 19.44/19.65 (~m_main_v_state1(s44, c_n1)),
% 19.44/19.65 inference(unit_resolution,[status(thm)],[3885, 35, 3882])).
% 19.44/19.65 tff(3887,plain,
% 19.44/19.65 (((~![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)))),
% 19.44/19.65 inference(rewrite,[status(thm)],[])).
% 19.44/19.65 tff(3888,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 19.44/19.65 inference(quant_inst,[status(thm)],[])).
% 19.44/19.65 tff(3889,plain,
% 19.44/19.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 19.44/19.66 tff(3890,plain,
% 19.44/19.66 (~node1(s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3889, 249, 3886])).
% 19.44/19.66 tff(3891,plain,
% 19.44/19.66 (((~![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))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3892,plain,
% 19.44/19.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3893,plain,
% 19.44/19.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 19.44/19.66 tff(3894,plain,
% 19.44/19.66 (node18(s43, s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3893, 71, 3873])).
% 19.44/19.66 tff(3895,plain,
% 19.44/19.66 (((~![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(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))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3896,plain,
% 19.44/19.66 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3897,plain,
% 19.44/19.66 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2)),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 19.44/19.66 tff(3898,plain,
% 19.44/19.66 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3897, 625, 3894])).
% 19.44/19.66 tff(3899,plain,
% 19.44/19.66 (m_main_v_turn(s44, c_2)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3898, 3866, 3810])).
% 19.44/19.66 tff(3900,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3901,plain,
% 19.44/19.66 ((~![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)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3902,plain,
% 19.44/19.66 ((~![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))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 19.44/19.66 tff(3903,plain,
% 19.44/19.66 (~m_main_v_turn(s44, c_1)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3902, 322, 3899])).
% 19.44/19.66 tff(3904,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3905,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3906,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 19.44/19.66 tff(3907,plain,
% 19.44/19.66 (~node5(s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3906, 641, 3903])).
% 19.44/19.66 tff(3908,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3909,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3910,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 19.44/19.66 tff(3911,plain,
% 19.44/19.66 (~node2(s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3910, 652, 3886])).
% 19.44/19.66 tff(3912,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3913,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3914,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 19.44/19.66 tff(3915,plain,
% 19.44/19.66 (~node3(s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3914, 663, 3886])).
% 19.44/19.66 tff(3916,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3917,plain,
% 19.44/19.66 ((~![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)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3918,plain,
% 19.44/19.66 ((~![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))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 19.44/19.66 tff(3919,plain,
% 19.44/19.66 (~m_main_v_state1(s44, c_c1)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3918, 289, 3882])).
% 19.44/19.66 tff(3920,plain,
% 19.44/19.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3921,plain,
% 19.44/19.66 (((~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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3922,plain,
% 19.44/19.66 (((~![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))))),
% 19.44/19.66 inference(monotonicity,[status(thm)],[3921])).
% 19.44/19.66 tff(3923,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(transitivity,[status(thm)],[3922, 3920])).
% 19.44/19.66 tff(3924,plain,
% 19.44/19.66 ((~![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)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3925,plain,
% 19.44/19.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 19.44/19.66 tff(3926,plain,
% 19.44/19.66 (~m_main_v_state2(s43, c_n2)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3925, 416, 3767, 3859])).
% 19.44/19.66 tff(3927,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3928,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3929,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 19.44/19.66 tff(3930,plain,
% 19.44/19.66 (~node9(s43)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3929, 311, 3926])).
% 19.44/19.66 tff(3931,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3932,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3933,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 19.44/19.66 tff(3934,plain,
% 19.44/19.66 (~node10(s43)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3933, 372, 3926])).
% 19.44/19.66 tff(3935,plain,
% 19.44/19.66 (((~![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)))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3936,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3937,plain,
% 19.44/19.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 19.44/19.66 tff(3938,plain,
% 19.44/19.66 (~node8(s43)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3937, 383, 3926])).
% 19.44/19.66 tff(3939,plain,
% 19.44/19.66 (((~![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))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3940,plain,
% 19.44/19.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 19.44/19.66 inference(quant_inst,[status(thm)],[])).
% 19.44/19.66 tff(3941,plain,
% 19.44/19.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 19.44/19.66 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 19.44/19.66 tff(3942,plain,
% 19.44/19.66 (node14(s43, s44)),
% 19.44/19.66 inference(unit_resolution,[status(thm)],[3941, 130, 3873])).
% 19.44/19.66 tff(3943,plain,
% 19.44/19.66 (((~![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(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))),
% 19.44/19.66 inference(rewrite,[status(thm)],[])).
% 19.44/19.66 tff(3944,plain,
% 19.44/19.66 ((~![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(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))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3945,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 19.44/19.67 tff(3946,plain,
% 19.44/19.67 ((~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)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3945, 704, 3942])).
% 19.44/19.67 tff(3947,plain,
% 19.44/19.67 (m_main_v_state2(s44, c_c2)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3946, 3938, 3810, 3866, 3934, 3930])).
% 19.44/19.67 tff(3948,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3949,plain,
% 19.44/19.67 ((~![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)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3950,plain,
% 19.44/19.67 ((~![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))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 19.44/19.67 tff(3951,plain,
% 19.44/19.67 (~m_main_v_state2(s44, c_n2)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3950, 716, 3947])).
% 19.44/19.67 tff(3952,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3953,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3954,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 19.44/19.67 tff(3955,plain,
% 19.44/19.67 (~node4(s44)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3954, 162, 3951])).
% 19.44/19.67 tff(3956,plain,
% 19.44/19.67 (succ(s44, s45) <=> succ(s44, s45)),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3957,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 19.44/19.67 tff(3958,plain,
% 19.44/19.67 (succ(s44, s45)),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 19.44/19.67 tff(3959,plain,
% 19.44/19.67 (((~![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))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3960,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3961,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 19.44/19.67 tff(3962,plain,
% 19.44/19.67 (trans(s44, s45)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3961, 3958, 57])).
% 19.44/19.67 tff(3963,plain,
% 19.44/19.67 (((~![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))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3964,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3965,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 19.44/19.67 tff(3966,plain,
% 19.44/19.67 (node7(s44, s45)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3965, 217, 3962])).
% 19.44/19.67 tff(3967,plain,
% 19.44/19.67 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3968,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3969,plain,
% 19.44/19.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 19.44/19.67 tff(3970,plain,
% 19.44/19.67 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3969, 745, 3966])).
% 19.44/19.67 tff(3971,plain,
% 19.44/19.67 (node6(s44, s45)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3970, 3955, 3919, 3915, 3911, 3907, 3890])).
% 19.44/19.67 tff(3972,plain,
% 19.44/19.67 (((~![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(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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3973,plain,
% 19.44/19.67 (((~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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3974,plain,
% 19.44/19.67 (((~![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))))),
% 19.44/19.67 inference(monotonicity,[status(thm)],[3973])).
% 19.44/19.67 tff(3975,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(transitivity,[status(thm)],[3974, 3972])).
% 19.44/19.67 tff(3976,plain,
% 19.44/19.67 ((~![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))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3977,plain,
% 19.44/19.67 ((~![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(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 19.44/19.67 tff(3978,plain,
% 19.44/19.67 (m_main_v_state1(s45, c_t1)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3977, 760, 3882, 3971])).
% 19.44/19.67 tff(3979,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3980,plain,
% 19.44/19.67 ((~![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)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3981,plain,
% 19.44/19.67 ((~![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))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 19.44/19.67 tff(3982,plain,
% 19.44/19.67 (~m_main_v_state2(s44, c_t2)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3981, 173, 3947])).
% 19.44/19.67 tff(3983,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3984,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3985,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 19.44/19.67 tff(3986,plain,
% 19.44/19.67 (~node12(s44)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3985, 778, 3982])).
% 19.44/19.67 tff(3987,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3988,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3989,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 19.44/19.67 tff(3990,plain,
% 19.44/19.67 (~node11(s44)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3989, 361, 3886])).
% 19.44/19.67 tff(3991,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3992,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3993,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 19.44/19.67 tff(3994,plain,
% 19.44/19.67 (~node10(s44)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3993, 793, 3919])).
% 19.44/19.67 tff(3995,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(3996,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(3997,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 19.44/19.67 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 19.44/19.67 tff(3998,plain,
% 19.44/19.67 (~node9(s44)),
% 19.44/19.67 inference(unit_resolution,[status(thm)],[3997, 804, 3886])).
% 19.44/19.67 tff(3999,plain,
% 19.44/19.67 (((~![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)))),
% 19.44/19.67 inference(rewrite,[status(thm)],[])).
% 19.44/19.67 tff(4000,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 19.44/19.67 inference(quant_inst,[status(thm)],[])).
% 19.44/19.67 tff(4001,plain,
% 19.44/19.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 19.44/19.68 tff(4002,plain,
% 19.44/19.68 (~node8(s44)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4001, 383, 3951])).
% 19.44/19.68 tff(4003,plain,
% 19.44/19.68 (((~![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))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4004,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4005,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 19.44/19.68 tff(4006,plain,
% 19.44/19.68 (node14(s44, s45)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4005, 130, 3962])).
% 19.44/19.68 tff(4007,plain,
% 19.44/19.68 (((~![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(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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4008,plain,
% 19.44/19.68 (((~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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4009,plain,
% 19.44/19.68 (((~![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(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))))),
% 19.44/19.68 inference(monotonicity,[status(thm)],[4008])).
% 19.44/19.68 tff(4010,plain,
% 19.44/19.68 (((~![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(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)))),
% 19.44/19.68 inference(transitivity,[status(thm)],[4009, 4007])).
% 19.44/19.68 tff(4011,plain,
% 19.44/19.68 ((~![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(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4012,plain,
% 19.44/19.68 ((~![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(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 19.44/19.68 tff(4013,plain,
% 19.44/19.68 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4012, 826, 4006])).
% 19.44/19.68 tff(4014,plain,
% 19.44/19.68 (m_main_v_state2(s45, c_n2)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4013, 4002, 3947, 3998, 3994, 3990, 3986])).
% 19.44/19.68 tff(4015,plain,
% 19.44/19.68 (((~![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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4016,plain,
% 19.44/19.68 ((~![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)))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4017,plain,
% 19.44/19.68 ((~![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))),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 19.44/19.68 tff(4018,plain,
% 19.44/19.68 (~m_main_v_state2(s45, c_t2)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4017, 10, 4014])).
% 19.44/19.68 tff(4019,plain,
% 19.44/19.68 (((~![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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4020,plain,
% 19.44/19.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4021,plain,
% 19.44/19.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 19.44/19.68 tff(4022,plain,
% 19.44/19.68 (~node15(s45)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4021, 21, 4018])).
% 19.44/19.68 tff(4023,plain,
% 19.44/19.68 (succ(s45, s46) <=> succ(s45, s46)),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4024,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 19.44/19.68 tff(4025,plain,
% 19.44/19.68 (succ(s45, s46)),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 19.44/19.68 tff(4026,plain,
% 19.44/19.68 (((~![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))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4027,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4028,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 19.44/19.68 tff(4029,plain,
% 19.44/19.68 (trans(s45, s46)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4028, 4025, 57])).
% 19.44/19.68 tff(4030,plain,
% 19.44/19.68 (((~![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))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4031,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4032,plain,
% 19.44/19.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 19.44/19.68 tff(4033,plain,
% 19.44/19.68 (node18(s45, s46)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4032, 71, 4029])).
% 19.44/19.68 tff(4034,plain,
% 19.44/19.68 (((~![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(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))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4035,plain,
% 19.44/19.68 (((~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))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4036,plain,
% 19.44/19.68 (((~![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(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)))),
% 19.44/19.68 inference(monotonicity,[status(thm)],[4035])).
% 19.44/19.68 tff(4037,plain,
% 19.44/19.68 (((~![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(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))),
% 19.44/19.68 inference(transitivity,[status(thm)],[4036, 4034])).
% 19.44/19.68 tff(4038,plain,
% 19.44/19.68 ((~![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(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4039,plain,
% 19.44/19.68 ((~![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(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)),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 19.44/19.68 tff(4040,plain,
% 19.44/19.68 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4039, 863, 4033])).
% 19.44/19.68 tff(4041,plain,
% 19.44/19.68 (m_main_v_turn(s46, c_1)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4040, 4022, 4014, 3978])).
% 19.44/19.68 tff(4042,plain,
% 19.44/19.68 (((~![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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4043,plain,
% 19.44/19.68 ((~![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)))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4044,plain,
% 19.44/19.68 ((~![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))),
% 19.44/19.68 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 19.44/19.68 tff(4045,plain,
% 19.44/19.68 (~m_main_v_turn(s46, c_2)),
% 19.44/19.68 inference(unit_resolution,[status(thm)],[4044, 322, 4041])).
% 19.44/19.68 tff(4046,plain,
% 19.44/19.68 (((~![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)))),
% 19.44/19.68 inference(rewrite,[status(thm)],[])).
% 19.44/19.68 tff(4047,plain,
% 19.44/19.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 19.44/19.68 inference(quant_inst,[status(thm)],[])).
% 19.44/19.68 tff(4048,plain,
% 19.44/19.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 19.44/19.69 tff(4049,plain,
% 19.44/19.69 (~node12(s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4048, 350, 4045])).
% 19.44/19.69 tff(4050,plain,
% 19.44/19.69 (((~![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))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4051,plain,
% 19.44/19.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4052,plain,
% 19.44/19.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 19.44/19.69 tff(4053,plain,
% 19.44/19.69 (node14(s45, s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4052, 130, 4029])).
% 19.44/19.69 tff(4054,plain,
% 19.44/19.69 (((~![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(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))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4055,plain,
% 19.44/19.69 ((~![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(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4056,plain,
% 19.44/19.69 ((~![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(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2)),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 19.44/19.69 tff(4057,plain,
% 19.44/19.69 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4056, 893, 4053])).
% 19.44/19.69 tff(4058,plain,
% 19.44/19.69 (m_main_v_state2(s46, c_t2)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4057, 3978, 4014])).
% 19.44/19.69 tff(4059,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4060,plain,
% 19.44/19.69 ((~![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)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4061,plain,
% 19.44/19.69 ((~![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))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 19.44/19.69 tff(4062,plain,
% 19.44/19.69 (~m_main_v_state2(s46, c_n2)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4061, 10, 4058])).
% 19.44/19.69 tff(4063,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4064,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4065,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 19.44/19.69 tff(4066,plain,
% 19.44/19.69 (~node8(s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4065, 383, 4062])).
% 19.44/19.69 tff(4067,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4068,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4069,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 19.44/19.69 tff(4070,plain,
% 19.44/19.69 (~node9(s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4069, 311, 4062])).
% 19.44/19.69 tff(4071,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4072,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4073,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 19.44/19.69 tff(4074,plain,
% 19.44/19.69 (~node10(s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4073, 372, 4062])).
% 19.44/19.69 tff(4075,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4076,plain,
% 19.44/19.69 ((~![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)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4077,plain,
% 19.44/19.69 ((~![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))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 19.44/19.69 tff(4078,plain,
% 19.44/19.69 (~m_main_v_state2(s46, c_c2)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4077, 173, 4058])).
% 19.44/19.69 tff(4079,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4080,plain,
% 19.44/19.69 ((~![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)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4081,plain,
% 19.44/19.69 ((~![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))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 19.44/19.69 tff(4082,plain,
% 19.44/19.69 (~m_main_v_state2(s45, c_c2)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4081, 716, 4014])).
% 19.44/19.69 tff(4083,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4084,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4085,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 19.44/19.69 tff(4086,plain,
% 19.44/19.69 (~node3(s45)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4085, 184, 4082])).
% 19.44/19.69 tff(4087,plain,
% 19.44/19.69 (((~![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(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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4088,plain,
% 19.44/19.69 (((~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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4089,plain,
% 19.44/19.69 (((~![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))))),
% 19.44/19.69 inference(monotonicity,[status(thm)],[4088])).
% 19.44/19.69 tff(4090,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(transitivity,[status(thm)],[4089, 4087])).
% 19.44/19.69 tff(4091,plain,
% 19.44/19.69 ((~![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)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4092,plain,
% 19.44/19.69 ((~![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(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 19.44/19.69 tff(4093,plain,
% 19.44/19.69 (~m_main_v_state1(s45, c_n1)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4092, 936, 3886, 3971])).
% 19.44/19.69 tff(4094,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4095,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4096,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 19.44/19.69 tff(4097,plain,
% 19.44/19.69 (~node2(s45)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4096, 652, 4093])).
% 19.44/19.69 tff(4098,plain,
% 19.44/19.69 (((~![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)))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4099,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4100,plain,
% 19.44/19.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 19.44/19.69 tff(4101,plain,
% 19.44/19.69 (~node1(s45)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4100, 206, 4018])).
% 19.44/19.69 tff(4102,plain,
% 19.44/19.69 (((~![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))),
% 19.44/19.69 inference(rewrite,[status(thm)],[])).
% 19.44/19.69 tff(4103,plain,
% 19.44/19.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 19.44/19.69 inference(quant_inst,[status(thm)],[])).
% 19.44/19.69 tff(4104,plain,
% 19.44/19.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 19.44/19.69 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 19.44/19.69 tff(4105,plain,
% 19.44/19.69 (node7(s45, s46)),
% 19.44/19.69 inference(unit_resolution,[status(thm)],[4104, 217, 4029])).
% 19.44/19.69 tff(4106,plain,
% 19.44/19.69 (((~![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(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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4107,plain,
% 19.44/19.70 (((~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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4108,plain,
% 19.44/19.70 (((~![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(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))))),
% 19.44/19.70 inference(monotonicity,[status(thm)],[4107])).
% 19.44/19.70 tff(4109,plain,
% 19.44/19.70 (((~![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(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)))),
% 19.44/19.70 inference(transitivity,[status(thm)],[4108, 4106])).
% 19.44/19.70 tff(4110,plain,
% 19.44/19.70 ((~![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(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))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4111,plain,
% 19.44/19.70 ((~![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(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))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 19.44/19.70 tff(4112,plain,
% 19.44/19.70 ((~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)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4111, 965, 4105])).
% 19.44/19.70 tff(4113,plain,
% 19.44/19.70 (m_main_v_state1(s46, c_c1)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4112, 4101, 4014, 3978, 4097, 4086])).
% 19.44/19.70 tff(4114,plain,
% 19.44/19.70 (((~![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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4115,plain,
% 19.44/19.70 ((~![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)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4116,plain,
% 19.44/19.70 ((~![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))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 19.44/19.70 tff(4117,plain,
% 19.44/19.70 (~m_main_v_state1(s46, c_n1)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4116, 449, 4113])).
% 19.44/19.70 tff(4118,plain,
% 19.44/19.70 (((~![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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4119,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4120,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 19.44/19.70 tff(4121,plain,
% 19.44/19.70 (~node11(s46)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4120, 361, 4117])).
% 19.44/19.70 tff(4122,plain,
% 19.44/19.70 (succ(s46, s47) <=> succ(s46, s47)),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4123,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 19.44/19.70 tff(4124,plain,
% 19.44/19.70 (succ(s46, s47)),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 19.44/19.70 tff(4125,plain,
% 19.44/19.70 (((~![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))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4126,plain,
% 19.44/19.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4127,plain,
% 19.44/19.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 19.44/19.70 tff(4128,plain,
% 19.44/19.70 (trans(s46, s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4127, 4124, 57])).
% 19.44/19.70 tff(4129,plain,
% 19.44/19.70 (((~![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))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4130,plain,
% 19.44/19.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4131,plain,
% 19.44/19.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 19.44/19.70 tff(4132,plain,
% 19.44/19.70 (node14(s46, s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4131, 130, 4128])).
% 19.44/19.70 tff(4133,plain,
% 19.44/19.70 (((~![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(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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4134,plain,
% 19.44/19.70 ((~![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(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4135,plain,
% 19.44/19.70 ((~![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(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 19.44/19.70 tff(4136,plain,
% 19.44/19.70 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4135, 401, 4132])).
% 19.44/19.70 tff(4137,plain,
% 19.44/19.70 (node13(s46, s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4136, 4121, 4078, 4074, 4070, 4066, 4049])).
% 19.44/19.70 tff(4138,plain,
% 19.44/19.70 (((~![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(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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4139,plain,
% 19.44/19.70 (((~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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4140,plain,
% 19.44/19.70 (((~![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))))),
% 19.44/19.70 inference(monotonicity,[status(thm)],[4139])).
% 19.44/19.70 tff(4141,plain,
% 19.44/19.70 (((~![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)))),
% 19.44/19.70 inference(transitivity,[status(thm)],[4140, 4138])).
% 19.44/19.70 tff(4142,plain,
% 19.44/19.70 ((~![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)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4143,plain,
% 19.44/19.70 ((~![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(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 19.44/19.70 tff(4144,plain,
% 19.44/19.70 (~m_main_v_state2(s47, c_n2)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4143, 416, 4062, 4137])).
% 19.44/19.70 tff(4145,plain,
% 19.44/19.70 (((~![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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4146,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4147,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 19.44/19.70 tff(4148,plain,
% 19.44/19.70 (~node9(s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4147, 311, 4144])).
% 19.44/19.70 tff(4149,plain,
% 19.44/19.70 (((~![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)))),
% 19.44/19.70 inference(rewrite,[status(thm)],[])).
% 19.44/19.70 tff(4150,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 19.44/19.70 inference(quant_inst,[status(thm)],[])).
% 19.44/19.70 tff(4151,plain,
% 19.44/19.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 19.44/19.70 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 19.44/19.70 tff(4152,plain,
% 19.44/19.70 (~node10(s47)),
% 19.44/19.70 inference(unit_resolution,[status(thm)],[4151, 372, 4144])).
% 19.44/19.70 tff(4153,plain,
% 19.44/19.70 (((~![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(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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4154,plain,
% 19.50/19.71 (((~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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4155,plain,
% 19.50/19.71 (((~![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))))),
% 19.50/19.71 inference(monotonicity,[status(thm)],[4154])).
% 19.50/19.71 tff(4156,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(transitivity,[status(thm)],[4155, 4153])).
% 19.50/19.71 tff(4157,plain,
% 19.50/19.71 ((~![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))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4158,plain,
% 19.50/19.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 19.50/19.71 tff(4159,plain,
% 19.50/19.71 (m_main_v_state2(s47, c_t2)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4158, 563, 4058, 4137])).
% 19.50/19.71 tff(4160,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4161,plain,
% 19.50/19.71 ((~![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)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4162,plain,
% 19.50/19.71 ((~![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))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 19.50/19.71 tff(4163,plain,
% 19.50/19.71 (~m_main_v_state1(s46, c_t1)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4162, 289, 4113])).
% 19.50/19.71 tff(4164,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4165,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4166,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 19.50/19.71 tff(4167,plain,
% 19.50/19.71 (~node5(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4166, 300, 4163])).
% 19.50/19.71 tff(4168,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4169,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4170,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 19.50/19.71 tff(4171,plain,
% 19.50/19.71 (~node4(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4170, 162, 4062])).
% 19.50/19.71 tff(4172,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4173,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4174,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 19.50/19.71 tff(4175,plain,
% 19.50/19.71 (~node3(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4174, 184, 4078])).
% 19.50/19.71 tff(4176,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4177,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4178,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 19.50/19.71 tff(4179,plain,
% 19.50/19.71 (~node2(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4178, 195, 4062])).
% 19.50/19.71 tff(4180,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4181,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4182,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 19.50/19.71 tff(4183,plain,
% 19.50/19.71 (~node1(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4182, 249, 4117])).
% 19.50/19.71 tff(4184,plain,
% 19.50/19.71 (((~![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))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4185,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4186,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 19.50/19.71 tff(4187,plain,
% 19.50/19.71 (node7(s46, s47)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4186, 217, 4128])).
% 19.50/19.71 tff(4188,plain,
% 19.50/19.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4189,plain,
% 19.50/19.71 (((~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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4190,plain,
% 19.50/19.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 19.50/19.71 inference(monotonicity,[status(thm)],[4189])).
% 19.50/19.71 tff(4191,plain,
% 19.50/19.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 19.50/19.71 inference(transitivity,[status(thm)],[4190, 4188])).
% 19.50/19.71 tff(4192,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4193,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 19.50/19.71 tff(4194,plain,
% 19.50/19.71 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4193, 478, 4187])).
% 19.50/19.71 tff(4195,plain,
% 19.50/19.71 (m_main_v_state1(s47, c_n1)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4194, 4183, 4113, 4179, 4175, 4171, 4167])).
% 19.50/19.71 tff(4196,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4197,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4198,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 19.50/19.71 tff(4199,plain,
% 19.50/19.71 (~node8(s47)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4198, 383, 4144])).
% 19.50/19.71 tff(4200,plain,
% 19.50/19.71 (succ(s47, s48) <=> succ(s47, s48)),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4201,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 19.50/19.71 tff(4202,plain,
% 19.50/19.71 (succ(s47, s48)),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 19.50/19.71 tff(4203,plain,
% 19.50/19.71 (((~![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))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4204,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4205,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 19.50/19.71 tff(4206,plain,
% 19.50/19.71 (trans(s47, s48)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4205, 4202, 57])).
% 19.50/19.71 tff(4207,plain,
% 19.50/19.71 (((~![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))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4208,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4209,plain,
% 19.50/19.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 19.50/19.71 tff(4210,plain,
% 19.50/19.71 (node14(s47, s48)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4209, 130, 4206])).
% 19.50/19.71 tff(4211,plain,
% 19.50/19.71 (((~![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(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))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4212,plain,
% 19.50/19.71 ((~![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(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))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4213,plain,
% 19.50/19.71 ((~![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(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)),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 19.50/19.71 tff(4214,plain,
% 19.50/19.71 ((~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)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4213, 704, 4210])).
% 19.50/19.71 tff(4215,plain,
% 19.50/19.71 (m_main_v_state2(s48, c_c2)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4214, 4199, 4195, 4159, 4152, 4148])).
% 19.50/19.71 tff(4216,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4217,plain,
% 19.50/19.71 ((~![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)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.71 tff(4218,plain,
% 19.50/19.71 ((~![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))),
% 19.50/19.71 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 19.50/19.71 tff(4219,plain,
% 19.50/19.71 (~m_main_v_state2(s48, c_t2)),
% 19.50/19.71 inference(unit_resolution,[status(thm)],[4218, 173, 4215])).
% 19.50/19.71 tff(4220,plain,
% 19.50/19.71 (((~![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)))),
% 19.50/19.71 inference(rewrite,[status(thm)],[])).
% 19.50/19.71 tff(4221,plain,
% 19.50/19.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 19.50/19.71 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4222,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 19.50/19.72 tff(4223,plain,
% 19.50/19.72 (~node12(s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4222, 778, 4219])).
% 19.50/19.72 tff(4224,plain,
% 19.50/19.72 (((~![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))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4225,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4226,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 19.50/19.72 tff(4227,plain,
% 19.50/19.72 (node7(s47, s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4226, 217, 4206])).
% 19.50/19.72 tff(4228,plain,
% 19.50/19.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4229,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4230,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 19.50/19.72 tff(4231,plain,
% 19.50/19.72 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4230, 598, 4227])).
% 19.50/19.72 tff(4232,plain,
% 19.50/19.72 (m_main_v_state1(s48, c_t1)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4231, 4159, 4195])).
% 19.50/19.72 tff(4233,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4234,plain,
% 19.50/19.72 ((~![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)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4235,plain,
% 19.50/19.72 ((~![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))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 19.50/19.72 tff(4236,plain,
% 19.50/19.72 (~m_main_v_state1(s48, c_n1)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4235, 35, 4232])).
% 19.50/19.72 tff(4237,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4238,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4239,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 19.50/19.72 tff(4240,plain,
% 19.50/19.72 (~node11(s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4239, 361, 4236])).
% 19.50/19.72 tff(4241,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4242,plain,
% 19.50/19.72 ((~![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)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4243,plain,
% 19.50/19.72 ((~![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))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 19.50/19.72 tff(4244,plain,
% 19.50/19.72 (~m_main_v_state1(s48, c_c1)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4243, 289, 4232])).
% 19.50/19.72 tff(4245,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4246,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4247,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 19.50/19.72 tff(4248,plain,
% 19.50/19.72 (~node10(s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4247, 793, 4244])).
% 19.50/19.72 tff(4249,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4250,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4251,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 19.50/19.72 tff(4252,plain,
% 19.50/19.72 (~node9(s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4251, 804, 4236])).
% 19.50/19.72 tff(4253,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4254,plain,
% 19.50/19.72 ((~![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)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4255,plain,
% 19.50/19.72 ((~![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))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 19.50/19.72 tff(4256,plain,
% 19.50/19.72 (~m_main_v_state2(s48, c_n2)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4255, 716, 4215])).
% 19.50/19.72 tff(4257,plain,
% 19.50/19.72 (((~![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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4258,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4259,plain,
% 19.50/19.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 19.50/19.72 tff(4260,plain,
% 19.50/19.72 (~node8(s48)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4259, 383, 4256])).
% 19.50/19.72 tff(4261,plain,
% 19.50/19.72 (succ(s48, s49) <=> succ(s48, s49)),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4262,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 19.50/19.72 tff(4263,plain,
% 19.50/19.72 (succ(s48, s49)),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 19.50/19.72 tff(4264,plain,
% 19.50/19.72 (((~![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))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4265,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4266,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 19.50/19.72 tff(4267,plain,
% 19.50/19.72 (trans(s48, s49)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4266, 4263, 57])).
% 19.50/19.72 tff(4268,plain,
% 19.50/19.72 (((~![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))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4269,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 19.50/19.72 inference(quant_inst,[status(thm)],[])).
% 19.50/19.72 tff(4270,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 19.50/19.72 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 19.50/19.72 tff(4271,plain,
% 19.50/19.72 (node14(s48, s49)),
% 19.50/19.72 inference(unit_resolution,[status(thm)],[4270, 130, 4267])).
% 19.50/19.72 tff(4272,plain,
% 19.50/19.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4273,plain,
% 19.50/19.72 (((~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)))),
% 19.50/19.72 inference(rewrite,[status(thm)],[])).
% 19.50/19.72 tff(4274,plain,
% 19.50/19.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.50/19.72 inference(monotonicity,[status(thm)],[4273])).
% 19.50/19.72 tff(4275,plain,
% 19.50/19.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.50/19.72 inference(transitivity,[status(thm)],[4274, 4272])).
% 19.50/19.72 tff(4276,plain,
% 19.50/19.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4277,plain,
% 19.50/19.73 ((~![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(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 19.50/19.73 tff(4278,plain,
% 19.50/19.73 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4277, 826, 4271])).
% 19.50/19.73 tff(4279,plain,
% 19.50/19.73 (m_main_v_state2(s49, c_n2)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4278, 4260, 4215, 4252, 4248, 4240, 4223])).
% 19.50/19.73 tff(4280,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4281,plain,
% 19.50/19.73 ((~![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)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4282,plain,
% 19.50/19.73 ((~![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))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 19.50/19.73 tff(4283,plain,
% 19.50/19.73 (~m_main_v_state2(s49, c_c2)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4282, 716, 4279])).
% 19.50/19.73 tff(4284,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4285,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4286,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 19.50/19.73 tff(4287,plain,
% 19.50/19.73 (~node3(s49)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4286, 184, 4283])).
% 19.50/19.73 tff(4288,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4289,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4290,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 19.50/19.73 tff(4291,plain,
% 19.50/19.73 (~node1(s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4290, 249, 4236])).
% 19.50/19.73 tff(4292,plain,
% 19.50/19.73 (((~![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))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4293,plain,
% 19.50/19.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4294,plain,
% 19.50/19.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 19.50/19.73 tff(4295,plain,
% 19.50/19.73 (node18(s47, s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4294, 71, 4206])).
% 19.50/19.73 tff(4296,plain,
% 19.50/19.73 (((~![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(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))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4297,plain,
% 19.50/19.73 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4298,plain,
% 19.50/19.73 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 19.50/19.73 tff(4299,plain,
% 19.50/19.73 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4298, 625, 4295])).
% 19.50/19.73 tff(4300,plain,
% 19.50/19.73 (m_main_v_turn(s48, c_2)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4299, 4159, 4195])).
% 19.50/19.73 tff(4301,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4302,plain,
% 19.50/19.73 ((~![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)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4303,plain,
% 19.50/19.73 ((~![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))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 19.50/19.73 tff(4304,plain,
% 19.50/19.73 (~m_main_v_turn(s48, c_1)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4303, 322, 4300])).
% 19.50/19.73 tff(4305,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4306,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4307,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 19.50/19.73 tff(4308,plain,
% 19.50/19.73 (~node5(s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4307, 641, 4304])).
% 19.50/19.73 tff(4309,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4310,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4311,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 19.50/19.73 tff(4312,plain,
% 19.50/19.73 (~node2(s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4311, 652, 4236])).
% 19.50/19.73 tff(4313,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4314,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4315,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 19.50/19.73 tff(4316,plain,
% 19.50/19.73 (~node3(s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4315, 663, 4236])).
% 19.50/19.73 tff(4317,plain,
% 19.50/19.73 (((~![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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4318,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4319,plain,
% 19.50/19.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 19.50/19.73 tff(4320,plain,
% 19.50/19.73 (~node4(s48)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4319, 162, 4256])).
% 19.50/19.73 tff(4321,plain,
% 19.50/19.73 (((~![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))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4322,plain,
% 19.50/19.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4323,plain,
% 19.50/19.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 19.50/19.73 tff(4324,plain,
% 19.50/19.73 (node7(s48, s49)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4323, 217, 4267])).
% 19.50/19.73 tff(4325,plain,
% 19.50/19.73 (((~![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(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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4326,plain,
% 19.50/19.73 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 19.50/19.73 inference(quant_inst,[status(thm)],[])).
% 19.50/19.73 tff(4327,plain,
% 19.50/19.73 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 19.50/19.73 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 19.50/19.73 tff(4328,plain,
% 19.50/19.73 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4327, 745, 4324])).
% 19.50/19.73 tff(4329,plain,
% 19.50/19.73 (node6(s48, s49)),
% 19.50/19.73 inference(unit_resolution,[status(thm)],[4328, 4320, 4244, 4316, 4312, 4308, 4291])).
% 19.50/19.73 tff(4330,plain,
% 19.50/19.73 (((~![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(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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4331,plain,
% 19.50/19.73 (((~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)))),
% 19.50/19.73 inference(rewrite,[status(thm)],[])).
% 19.50/19.73 tff(4332,plain,
% 19.50/19.73 (((~![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))))),
% 19.50/19.74 inference(monotonicity,[status(thm)],[4331])).
% 19.50/19.74 tff(4333,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(transitivity,[status(thm)],[4332, 4330])).
% 19.50/19.74 tff(4334,plain,
% 19.50/19.74 ((~![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)))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4335,plain,
% 19.50/19.74 ((~![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(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 19.50/19.74 tff(4336,plain,
% 19.50/19.74 (~m_main_v_state1(s49, c_n1)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4335, 936, 4236, 4329])).
% 19.50/19.74 tff(4337,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4338,plain,
% 19.50/19.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4339,plain,
% 19.50/19.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 19.50/19.74 tff(4340,plain,
% 19.50/19.74 (~node2(s49)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4339, 652, 4336])).
% 19.50/19.74 tff(4341,plain,
% 19.50/19.74 (((~![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(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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4342,plain,
% 19.50/19.74 (((~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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4343,plain,
% 19.50/19.74 (((~![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))))),
% 19.50/19.74 inference(monotonicity,[status(thm)],[4342])).
% 19.50/19.74 tff(4344,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(transitivity,[status(thm)],[4343, 4341])).
% 19.50/19.74 tff(4345,plain,
% 19.50/19.74 ((~![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))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4346,plain,
% 19.50/19.74 ((~![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(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 19.50/19.74 tff(4347,plain,
% 19.50/19.74 (m_main_v_state1(s49, c_t1)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4346, 760, 4232, 4329])).
% 19.50/19.74 tff(4348,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4349,plain,
% 19.50/19.74 ((~![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)))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4350,plain,
% 19.50/19.74 ((~![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))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 19.50/19.74 tff(4351,plain,
% 19.50/19.74 (~m_main_v_state2(s49, c_t2)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4350, 10, 4279])).
% 19.50/19.74 tff(4352,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4353,plain,
% 19.50/19.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4354,plain,
% 19.50/19.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 19.50/19.74 tff(4355,plain,
% 19.50/19.74 (~node1(s49)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4354, 206, 4351])).
% 19.50/19.74 tff(4356,plain,
% 19.50/19.74 (succ(s49, s50) <=> succ(s49, s50)),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4357,axiom,(succ(s49, s50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 19.50/19.74 tff(4358,plain,
% 19.50/19.74 (succ(s49, s50)),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 19.50/19.74 tff(4359,plain,
% 19.50/19.74 (((~![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))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4360,plain,
% 19.50/19.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4361,plain,
% 19.50/19.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 19.50/19.74 tff(4362,plain,
% 19.50/19.74 (trans(s49, s50)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4361, 4358, 57])).
% 19.50/19.74 tff(4363,plain,
% 19.50/19.74 (((~![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))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4364,plain,
% 19.50/19.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4365,plain,
% 19.50/19.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 19.50/19.74 tff(4366,plain,
% 19.50/19.74 (node7(s49, s50)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4365, 217, 4362])).
% 19.50/19.74 tff(4367,plain,
% 19.50/19.74 (((~![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(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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4368,plain,
% 19.50/19.74 (((~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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4369,plain,
% 19.50/19.74 (((~![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(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))))),
% 19.50/19.74 inference(monotonicity,[status(thm)],[4368])).
% 19.50/19.74 tff(4370,plain,
% 19.50/19.74 (((~![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(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)))),
% 19.50/19.74 inference(transitivity,[status(thm)],[4369, 4367])).
% 19.50/19.74 tff(4371,plain,
% 19.50/19.74 ((~![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(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))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4372,plain,
% 19.50/19.74 ((~![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(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))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 19.50/19.74 tff(4373,plain,
% 19.50/19.74 ((~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)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4372, 965, 4366])).
% 19.50/19.74 tff(4374,plain,
% 19.50/19.74 (m_main_v_state1(s50, c_c1)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4373, 4355, 4279, 4347, 4340, 4287])).
% 19.50/19.74 tff(4375,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.74 inference(rewrite,[status(thm)],[])).
% 19.50/19.74 tff(4376,plain,
% 19.50/19.74 ((~![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)))),
% 19.50/19.74 inference(quant_inst,[status(thm)],[])).
% 19.50/19.74 tff(4377,plain,
% 19.50/19.74 ((~![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))),
% 19.50/19.74 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 19.50/19.74 tff(4378,plain,
% 19.50/19.74 (~m_main_v_state1(s50, c_t1)),
% 19.50/19.74 inference(unit_resolution,[status(thm)],[4377, 289, 4374])).
% 19.50/19.74 tff(4379,plain,
% 19.50/19.74 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4380,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4381,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 19.50/19.75 tff(4382,plain,
% 19.50/19.75 (~node5(s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4381, 300, 4378])).
% 19.50/19.75 tff(4383,plain,
% 19.50/19.75 (((~![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))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4384,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4385,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 19.50/19.75 tff(4386,plain,
% 19.50/19.75 (node14(s49, s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4385, 130, 4362])).
% 19.50/19.75 tff(4387,plain,
% 19.50/19.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4388,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4389,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 19.50/19.75 tff(4390,plain,
% 19.50/19.75 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4389, 893, 4386])).
% 19.50/19.75 tff(4391,plain,
% 19.50/19.75 (m_main_v_state2(s50, c_t2)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4390, 4347, 4279])).
% 19.50/19.75 tff(4392,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4393,plain,
% 19.50/19.75 ((~![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)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4394,plain,
% 19.50/19.75 ((~![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))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 19.50/19.75 tff(4395,plain,
% 19.50/19.75 (~m_main_v_state2(s50, c_n2)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4394, 10, 4391])).
% 19.50/19.75 tff(4396,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4397,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4398,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 19.50/19.75 tff(4399,plain,
% 19.50/19.75 (~node4(s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4398, 162, 4395])).
% 19.50/19.75 tff(4400,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4401,plain,
% 19.50/19.75 ((~![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)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4402,plain,
% 19.50/19.75 ((~![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))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 19.50/19.75 tff(4403,plain,
% 19.50/19.75 (~m_main_v_state2(s50, c_c2)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4402, 173, 4391])).
% 19.50/19.75 tff(4404,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4405,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4406,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 19.50/19.75 tff(4407,plain,
% 19.50/19.75 (~node3(s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4406, 184, 4403])).
% 19.50/19.75 tff(4408,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4409,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4410,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 19.50/19.75 tff(4411,plain,
% 19.50/19.75 (~node2(s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4410, 195, 4395])).
% 19.50/19.75 tff(4412,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4413,plain,
% 19.50/19.75 ((~![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)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4414,plain,
% 19.50/19.75 ((~![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))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 19.50/19.75 tff(4415,plain,
% 19.50/19.75 (~m_main_v_state1(s50, c_n1)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4414, 449, 4374])).
% 19.50/19.75 tff(4416,plain,
% 19.50/19.75 (((~![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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4417,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4418,plain,
% 19.50/19.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 19.50/19.75 tff(4419,plain,
% 19.50/19.75 (~node1(s50)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4418, 249, 4415])).
% 19.50/19.75 tff(4420,plain,
% 19.50/19.75 (succ(s50, s51) <=> succ(s50, s51)),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4421,axiom,(succ(s50, s51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 19.50/19.75 tff(4422,plain,
% 19.50/19.75 (succ(s50, s51)),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 19.50/19.75 tff(4423,plain,
% 19.50/19.75 (((~![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))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4424,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4425,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 19.50/19.75 tff(4426,plain,
% 19.50/19.75 (trans(s50, s51)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4425, 4422, 57])).
% 19.50/19.75 tff(4427,plain,
% 19.50/19.75 (((~![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))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4428,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 19.50/19.75 inference(quant_inst,[status(thm)],[])).
% 19.50/19.75 tff(4429,plain,
% 19.50/19.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 19.50/19.75 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 19.50/19.75 tff(4430,plain,
% 19.50/19.75 (node7(s50, s51)),
% 19.50/19.75 inference(unit_resolution,[status(thm)],[4429, 217, 4426])).
% 19.50/19.75 tff(4431,plain,
% 19.50/19.75 (((~![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(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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4432,plain,
% 19.50/19.75 (((~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)))),
% 19.50/19.75 inference(rewrite,[status(thm)],[])).
% 19.50/19.75 tff(4433,plain,
% 19.50/19.75 (((~![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(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))))),
% 19.50/19.75 inference(monotonicity,[status(thm)],[4432])).
% 19.50/19.75 tff(4434,plain,
% 19.50/19.75 (((~![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(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)))),
% 19.50/19.76 inference(transitivity,[status(thm)],[4433, 4431])).
% 19.50/19.76 tff(4435,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4436,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 19.50/19.76 tff(4437,plain,
% 19.50/19.76 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4436, 478, 4430])).
% 19.50/19.76 tff(4438,plain,
% 19.50/19.76 (m_main_v_state1(s51, c_n1)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4437, 4419, 4374, 4411, 4407, 4399, 4382])).
% 19.50/19.76 tff(4439,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4440,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4441,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 19.50/19.76 tff(4442,plain,
% 19.50/19.76 (~node15(s49)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4441, 21, 4351])).
% 19.50/19.76 tff(4443,plain,
% 19.50/19.76 (((~![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))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4444,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4445,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 19.50/19.76 tff(4446,plain,
% 19.50/19.76 (node18(s49, s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4445, 71, 4362])).
% 19.50/19.76 tff(4447,plain,
% 19.50/19.76 (((~![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(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))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4448,plain,
% 19.50/19.76 (((~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))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4449,plain,
% 19.50/19.76 (((~![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(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)))),
% 19.50/19.76 inference(monotonicity,[status(thm)],[4448])).
% 19.50/19.76 tff(4450,plain,
% 19.50/19.76 (((~![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(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))),
% 19.50/19.76 inference(transitivity,[status(thm)],[4449, 4447])).
% 19.50/19.76 tff(4451,plain,
% 19.50/19.76 ((~![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(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4452,plain,
% 19.50/19.76 ((~![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(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)),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 19.50/19.76 tff(4453,plain,
% 19.50/19.76 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4452, 863, 4446])).
% 19.50/19.76 tff(4454,plain,
% 19.50/19.76 (m_main_v_turn(s50, c_1)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4453, 4442, 4279, 4347])).
% 19.50/19.76 tff(4455,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4456,plain,
% 19.50/19.76 ((~![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)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4457,plain,
% 19.50/19.76 ((~![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))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 19.50/19.76 tff(4458,plain,
% 19.50/19.76 (~m_main_v_turn(s50, c_2)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4457, 322, 4454])).
% 19.50/19.76 tff(4459,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4460,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4461,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 19.50/19.76 tff(4462,plain,
% 19.50/19.76 (~node12(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4461, 350, 4458])).
% 19.50/19.76 tff(4463,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4464,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4465,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 19.50/19.76 tff(4466,plain,
% 19.50/19.76 (~node8(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4465, 383, 4395])).
% 19.50/19.76 tff(4467,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4468,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4469,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 19.50/19.76 tff(4470,plain,
% 19.50/19.76 (~node9(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4469, 311, 4395])).
% 19.50/19.76 tff(4471,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4472,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4473,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 19.50/19.76 tff(4474,plain,
% 19.50/19.76 (~node10(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4473, 372, 4395])).
% 19.50/19.76 tff(4475,plain,
% 19.50/19.76 (((~![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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4476,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4477,plain,
% 19.50/19.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 19.50/19.76 tff(4478,plain,
% 19.50/19.76 (~node11(s50)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4477, 361, 4415])).
% 19.50/19.76 tff(4479,plain,
% 19.50/19.76 (((~![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))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4480,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4481,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 19.50/19.76 tff(4482,plain,
% 19.50/19.76 (node14(s50, s51)),
% 19.50/19.76 inference(unit_resolution,[status(thm)],[4481, 130, 4426])).
% 19.50/19.76 tff(4483,plain,
% 19.50/19.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 19.50/19.76 inference(rewrite,[status(thm)],[])).
% 19.50/19.76 tff(4484,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 19.50/19.76 inference(quant_inst,[status(thm)],[])).
% 19.50/19.76 tff(4485,plain,
% 19.50/19.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 19.50/19.76 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 19.50/19.77 tff(4486,plain,
% 19.50/19.77 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4485, 401, 4482])).
% 19.50/19.77 tff(4487,plain,
% 19.50/19.77 (node13(s50, s51)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4486, 4478, 4403, 4474, 4470, 4466, 4462])).
% 19.50/19.77 tff(4488,plain,
% 19.50/19.77 (((~![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(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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4489,plain,
% 19.50/19.77 (((~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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4490,plain,
% 19.50/19.77 (((~![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))))),
% 19.50/19.77 inference(monotonicity,[status(thm)],[4489])).
% 19.50/19.77 tff(4491,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(transitivity,[status(thm)],[4490, 4488])).
% 19.50/19.77 tff(4492,plain,
% 19.50/19.77 ((~![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))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4493,plain,
% 19.50/19.77 ((~![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(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 19.50/19.77 tff(4494,plain,
% 19.50/19.77 (m_main_v_state2(s51, c_t2)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4493, 563, 4391, 4487])).
% 19.50/19.77 tff(4495,plain,
% 19.50/19.77 (succ(s51, s52) <=> succ(s51, s52)),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4496,axiom,(succ(s51, s52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 19.50/19.77 tff(4497,plain,
% 19.50/19.77 (succ(s51, s52)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 19.50/19.77 tff(4498,plain,
% 19.50/19.77 (((~![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))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4499,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4500,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 19.50/19.77 tff(4501,plain,
% 19.50/19.77 (trans(s51, s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4500, 4497, 57])).
% 19.50/19.77 tff(4502,plain,
% 19.50/19.77 (((~![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))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4503,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4504,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 19.50/19.77 tff(4505,plain,
% 19.50/19.77 (node7(s51, s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4504, 217, 4501])).
% 19.50/19.77 tff(4506,plain,
% 19.50/19.77 (((~![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(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))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4507,plain,
% 19.50/19.77 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4508,plain,
% 19.50/19.77 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 19.50/19.77 tff(4509,plain,
% 19.50/19.77 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4508, 598, 4505])).
% 19.50/19.77 tff(4510,plain,
% 19.50/19.77 (m_main_v_state1(s52, c_t1)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4509, 4494, 4438])).
% 19.50/19.77 tff(4511,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4512,plain,
% 19.50/19.77 ((~![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)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4513,plain,
% 19.50/19.77 ((~![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))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 19.50/19.77 tff(4514,plain,
% 19.50/19.77 (~m_main_v_state1(s52, c_n1)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4513, 35, 4510])).
% 19.50/19.77 tff(4515,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4516,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4517,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 19.50/19.77 tff(4518,plain,
% 19.50/19.77 (~node1(s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4517, 249, 4514])).
% 19.50/19.77 tff(4519,plain,
% 19.50/19.77 (((~![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))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4520,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4521,plain,
% 19.50/19.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 19.50/19.77 tff(4522,plain,
% 19.50/19.77 (node18(s51, s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4521, 71, 4501])).
% 19.50/19.77 tff(4523,plain,
% 19.50/19.77 (((~![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(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))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4524,plain,
% 19.50/19.77 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4525,plain,
% 19.50/19.77 ((~![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(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2)),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 19.50/19.77 tff(4526,plain,
% 19.50/19.77 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4525, 625, 4522])).
% 19.50/19.77 tff(4527,plain,
% 19.50/19.77 (m_main_v_turn(s52, c_2)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4526, 4494, 4438])).
% 19.50/19.77 tff(4528,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4529,plain,
% 19.50/19.77 ((~![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)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4530,plain,
% 19.50/19.77 ((~![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))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 19.50/19.77 tff(4531,plain,
% 19.50/19.77 (~m_main_v_turn(s52, c_1)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4530, 322, 4527])).
% 19.50/19.77 tff(4532,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4533,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4534,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 19.50/19.77 tff(4535,plain,
% 19.50/19.77 (~node5(s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4534, 641, 4531])).
% 19.50/19.77 tff(4536,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4537,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4538,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 19.50/19.77 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 19.50/19.77 tff(4539,plain,
% 19.50/19.77 (~node2(s52)),
% 19.50/19.77 inference(unit_resolution,[status(thm)],[4538, 652, 4514])).
% 19.50/19.77 tff(4540,plain,
% 19.50/19.77 (((~![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)))),
% 19.50/19.77 inference(rewrite,[status(thm)],[])).
% 19.50/19.77 tff(4541,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 19.50/19.77 inference(quant_inst,[status(thm)],[])).
% 19.50/19.77 tff(4542,plain,
% 19.50/19.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 19.50/19.78 tff(4543,plain,
% 19.50/19.78 (~node3(s52)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4542, 663, 4514])).
% 19.50/19.78 tff(4544,plain,
% 19.50/19.78 (((~![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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4545,plain,
% 19.50/19.78 ((~![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)))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4546,plain,
% 19.50/19.78 ((~![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))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 19.50/19.78 tff(4547,plain,
% 19.50/19.78 (~m_main_v_state1(s52, c_c1)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4546, 289, 4510])).
% 19.50/19.78 tff(4548,plain,
% 19.50/19.78 (((~![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(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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4549,plain,
% 19.50/19.78 (((~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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4550,plain,
% 19.50/19.78 (((~![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))))),
% 19.50/19.78 inference(monotonicity,[status(thm)],[4549])).
% 19.50/19.78 tff(4551,plain,
% 19.50/19.78 (((~![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)))),
% 19.50/19.78 inference(transitivity,[status(thm)],[4550, 4548])).
% 19.50/19.78 tff(4552,plain,
% 19.50/19.78 ((~![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)))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4553,plain,
% 19.50/19.78 ((~![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(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 19.50/19.78 tff(4554,plain,
% 19.50/19.78 (~m_main_v_state2(s51, c_n2)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4553, 416, 4395, 4487])).
% 19.50/19.78 tff(4555,plain,
% 19.50/19.78 (((~![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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4556,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4557,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 19.50/19.78 tff(4558,plain,
% 19.50/19.78 (~node9(s51)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4557, 311, 4554])).
% 19.50/19.78 tff(4559,plain,
% 19.50/19.78 (((~![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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4560,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4561,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 19.50/19.78 tff(4562,plain,
% 19.50/19.78 (~node10(s51)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4561, 372, 4554])).
% 19.50/19.78 tff(4563,plain,
% 19.50/19.78 (((~![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)))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4564,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4565,plain,
% 19.50/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 19.50/19.78 tff(4566,plain,
% 19.50/19.78 (~node8(s51)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4565, 383, 4554])).
% 19.50/19.78 tff(4567,plain,
% 19.50/19.78 (((~![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))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4568,plain,
% 19.50/19.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4569,plain,
% 19.50/19.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 19.50/19.78 tff(4570,plain,
% 19.50/19.78 (node14(s51, s52)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4569, 130, 4501])).
% 19.50/19.78 tff(4571,plain,
% 19.50/19.78 (((~![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(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))),
% 19.50/19.78 inference(rewrite,[status(thm)],[])).
% 19.50/19.78 tff(4572,plain,
% 19.50/19.78 ((~![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(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))),
% 19.50/19.78 inference(quant_inst,[status(thm)],[])).
% 19.50/19.78 tff(4573,plain,
% 19.50/19.78 ((~![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(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)),
% 19.50/19.78 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 19.50/19.78 tff(4574,plain,
% 19.50/19.78 ((~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)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4573, 704, 4570])).
% 19.50/19.78 tff(4575,plain,
% 19.50/19.78 (m_main_v_state2(s52, c_c2)),
% 19.50/19.78 inference(unit_resolution,[status(thm)],[4574, 4566, 4438, 4494, 4562, 4558])).
% 19.50/19.78 tff(4576,plain,
% 19.50/19.78 (((~![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)))),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4577,plain,
% 19.57/19.78 ((~![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)))),
% 19.57/19.78 inference(quant_inst,[status(thm)],[])).
% 19.57/19.78 tff(4578,plain,
% 19.57/19.78 ((~![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))),
% 19.57/19.78 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 19.57/19.78 tff(4579,plain,
% 19.57/19.78 (~m_main_v_state2(s52, c_n2)),
% 19.57/19.78 inference(unit_resolution,[status(thm)],[4578, 716, 4575])).
% 19.57/19.78 tff(4580,plain,
% 19.57/19.78 (((~![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)))),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4581,plain,
% 19.57/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 19.57/19.78 inference(quant_inst,[status(thm)],[])).
% 19.57/19.78 tff(4582,plain,
% 19.57/19.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 19.57/19.78 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 19.57/19.78 tff(4583,plain,
% 19.57/19.78 (~node4(s52)),
% 19.57/19.78 inference(unit_resolution,[status(thm)],[4582, 162, 4579])).
% 19.57/19.78 tff(4584,plain,
% 19.57/19.78 (succ(s52, s53) <=> succ(s52, s53)),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4585,axiom,(succ(s52, s53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound53')).
% 19.57/19.78 tff(4586,plain,
% 19.57/19.78 (succ(s52, s53)),
% 19.57/19.78 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 19.57/19.78 tff(4587,plain,
% 19.57/19.78 (((~![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))),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4588,plain,
% 19.57/19.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 19.57/19.78 inference(quant_inst,[status(thm)],[])).
% 19.57/19.78 tff(4589,plain,
% 19.57/19.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 19.57/19.78 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 19.57/19.78 tff(4590,plain,
% 19.57/19.78 (trans(s52, s53)),
% 19.57/19.78 inference(unit_resolution,[status(thm)],[4589, 4586, 57])).
% 19.57/19.78 tff(4591,plain,
% 19.57/19.78 (((~![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))),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4592,plain,
% 19.57/19.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 19.57/19.78 inference(quant_inst,[status(thm)],[])).
% 19.57/19.78 tff(4593,plain,
% 19.57/19.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 19.57/19.78 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 19.57/19.78 tff(4594,plain,
% 19.57/19.78 (node7(s52, s53)),
% 19.57/19.78 inference(unit_resolution,[status(thm)],[4593, 217, 4590])).
% 19.57/19.78 tff(4595,plain,
% 19.57/19.78 (((~![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(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)))),
% 19.57/19.78 inference(rewrite,[status(thm)],[])).
% 19.57/19.78 tff(4596,plain,
% 19.57/19.78 ((~![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(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 19.57/19.78 inference(quant_inst,[status(thm)],[])).
% 19.57/19.78 tff(4597,plain,
% 19.57/19.78 ((~![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(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 19.57/19.79 tff(4598,plain,
% 19.57/19.79 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4597, 745, 4594])).
% 19.57/19.79 tff(4599,plain,
% 19.57/19.79 (node6(s52, s53)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4598, 4583, 4547, 4543, 4539, 4535, 4518])).
% 19.57/19.79 tff(4600,plain,
% 19.57/19.79 (((~![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(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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4601,plain,
% 19.57/19.79 (((~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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4602,plain,
% 19.57/19.79 (((~![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))))),
% 19.57/19.79 inference(monotonicity,[status(thm)],[4601])).
% 19.57/19.79 tff(4603,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(transitivity,[status(thm)],[4602, 4600])).
% 19.57/19.79 tff(4604,plain,
% 19.57/19.79 ((~![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))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4605,plain,
% 19.57/19.79 ((~![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(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 19.57/19.79 tff(4606,plain,
% 19.57/19.79 (m_main_v_state1(s53, c_t1)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4605, 760, 4510, 4599])).
% 19.57/19.79 tff(4607,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4608,plain,
% 19.57/19.79 ((~![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)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4609,plain,
% 19.57/19.79 ((~![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))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 19.57/19.79 tff(4610,plain,
% 19.57/19.79 (~m_main_v_state2(s52, c_t2)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4609, 173, 4575])).
% 19.57/19.79 tff(4611,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4612,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4613,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 19.57/19.79 tff(4614,plain,
% 19.57/19.79 (~node12(s52)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4613, 778, 4610])).
% 19.57/19.79 tff(4615,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4616,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4617,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 19.57/19.79 tff(4618,plain,
% 19.57/19.79 (~node11(s52)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4617, 361, 4514])).
% 19.57/19.79 tff(4619,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4620,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4621,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 19.57/19.79 tff(4622,plain,
% 19.57/19.79 (~node10(s52)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4621, 793, 4547])).
% 19.57/19.79 tff(4623,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4624,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4625,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 19.57/19.79 tff(4626,plain,
% 19.57/19.79 (~node9(s52)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4625, 804, 4514])).
% 19.57/19.79 tff(4627,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4628,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4629,plain,
% 19.57/19.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 19.57/19.79 tff(4630,plain,
% 19.57/19.79 (~node8(s52)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4629, 383, 4579])).
% 19.57/19.79 tff(4631,plain,
% 19.57/19.79 (((~![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))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4632,plain,
% 19.57/19.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4633,plain,
% 19.57/19.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 19.57/19.79 tff(4634,plain,
% 19.57/19.79 (node14(s52, s53)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4633, 130, 4590])).
% 19.57/19.79 tff(4635,plain,
% 19.57/19.79 (((~![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(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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4636,plain,
% 19.57/19.79 (((~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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4637,plain,
% 19.57/19.79 (((~![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(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))))),
% 19.57/19.79 inference(monotonicity,[status(thm)],[4636])).
% 19.57/19.79 tff(4638,plain,
% 19.57/19.79 (((~![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(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)))),
% 19.57/19.79 inference(transitivity,[status(thm)],[4637, 4635])).
% 19.57/19.79 tff(4639,plain,
% 19.57/19.79 ((~![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(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4640,plain,
% 19.57/19.79 ((~![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(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 19.57/19.79 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 19.57/19.79 tff(4641,plain,
% 19.57/19.79 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4640, 826, 4634])).
% 19.57/19.79 tff(4642,plain,
% 19.57/19.79 (m_main_v_state2(s53, c_n2)),
% 19.57/19.79 inference(unit_resolution,[status(thm)],[4641, 4630, 4575, 4626, 4622, 4618, 4614])).
% 19.57/19.79 tff(4643,plain,
% 19.57/19.79 (((~![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)))),
% 19.57/19.79 inference(rewrite,[status(thm)],[])).
% 19.57/19.79 tff(4644,plain,
% 19.57/19.79 ((~![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)))),
% 19.57/19.79 inference(quant_inst,[status(thm)],[])).
% 19.57/19.79 tff(4645,plain,
% 19.57/19.79 ((~![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))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 19.57/19.80 tff(4646,plain,
% 19.57/19.80 (~m_main_v_state2(s53, c_t2)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4645, 10, 4642])).
% 19.57/19.80 tff(4647,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4648,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4649,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 19.57/19.80 tff(4650,plain,
% 19.57/19.80 (~node15(s53)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4649, 21, 4646])).
% 19.57/19.80 tff(4651,plain,
% 19.57/19.80 (succ(s53, s54) <=> succ(s53, s54)),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4652,axiom,(succ(s53, s54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound54')).
% 19.57/19.80 tff(4653,plain,
% 19.57/19.80 (succ(s53, s54)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 19.57/19.80 tff(4654,plain,
% 19.57/19.80 (((~![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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4655,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4656,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 19.57/19.80 tff(4657,plain,
% 19.57/19.80 (trans(s53, s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4656, 4653, 57])).
% 19.57/19.80 tff(4658,plain,
% 19.57/19.80 (((~![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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4659,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4660,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 19.57/19.80 tff(4661,plain,
% 19.57/19.80 (node18(s53, s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4660, 71, 4657])).
% 19.57/19.80 tff(4662,plain,
% 19.57/19.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4663,plain,
% 19.57/19.80 (((~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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4664,plain,
% 19.57/19.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 19.57/19.80 inference(monotonicity,[status(thm)],[4663])).
% 19.57/19.80 tff(4665,plain,
% 19.57/19.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 19.57/19.80 inference(transitivity,[status(thm)],[4664, 4662])).
% 19.57/19.80 tff(4666,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4667,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 19.57/19.80 tff(4668,plain,
% 19.57/19.80 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4667, 863, 4661])).
% 19.57/19.80 tff(4669,plain,
% 19.57/19.80 (m_main_v_turn(s54, c_1)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4668, 4650, 4642, 4606])).
% 19.57/19.80 tff(4670,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4671,plain,
% 19.57/19.80 ((~![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)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4672,plain,
% 19.57/19.80 ((~![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))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 19.57/19.80 tff(4673,plain,
% 19.57/19.80 (~m_main_v_turn(s54, c_2)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4672, 322, 4669])).
% 19.57/19.80 tff(4674,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4675,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4676,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 19.57/19.80 tff(4677,plain,
% 19.57/19.80 (~node12(s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4676, 350, 4673])).
% 19.57/19.80 tff(4678,plain,
% 19.57/19.80 (((~![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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4679,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4680,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 19.57/19.80 tff(4681,plain,
% 19.57/19.80 (node14(s53, s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4680, 130, 4657])).
% 19.57/19.80 tff(4682,plain,
% 19.57/19.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~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))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4683,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4684,plain,
% 19.57/19.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 19.57/19.80 tff(4685,plain,
% 19.57/19.80 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4684, 893, 4681])).
% 19.57/19.80 tff(4686,plain,
% 19.57/19.80 (m_main_v_state2(s54, c_t2)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4685, 4606, 4642])).
% 19.57/19.80 tff(4687,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4688,plain,
% 19.57/19.80 ((~![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)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4689,plain,
% 19.57/19.80 ((~![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))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 19.57/19.80 tff(4690,plain,
% 19.57/19.80 (~m_main_v_state2(s54, c_n2)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4689, 10, 4686])).
% 19.57/19.80 tff(4691,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4692,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4693,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 19.57/19.80 tff(4694,plain,
% 19.57/19.80 (~node8(s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4693, 383, 4690])).
% 19.57/19.80 tff(4695,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4696,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.80 tff(4697,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 19.57/19.80 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 19.57/19.80 tff(4698,plain,
% 19.57/19.80 (~node9(s54)),
% 19.57/19.80 inference(unit_resolution,[status(thm)],[4697, 311, 4690])).
% 19.57/19.80 tff(4699,plain,
% 19.57/19.80 (((~![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)))),
% 19.57/19.80 inference(rewrite,[status(thm)],[])).
% 19.57/19.80 tff(4700,plain,
% 19.57/19.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 19.57/19.80 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4701,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 19.57/19.81 tff(4702,plain,
% 19.57/19.81 (~node10(s54)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4701, 372, 4690])).
% 19.57/19.81 tff(4703,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4704,plain,
% 19.57/19.81 ((~![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)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4705,plain,
% 19.57/19.81 ((~![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))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 19.57/19.81 tff(4706,plain,
% 19.57/19.81 (~m_main_v_state2(s54, c_c2)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4705, 173, 4686])).
% 19.57/19.81 tff(4707,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4708,plain,
% 19.57/19.81 ((~![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)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4709,plain,
% 19.57/19.81 ((~![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))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 19.57/19.81 tff(4710,plain,
% 19.57/19.81 (~m_main_v_state2(s53, c_c2)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4709, 716, 4642])).
% 19.57/19.81 tff(4711,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4712,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4713,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 19.57/19.81 tff(4714,plain,
% 19.57/19.81 (~node3(s53)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4713, 184, 4710])).
% 19.57/19.81 tff(4715,plain,
% 19.57/19.81 (((~![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(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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4716,plain,
% 19.57/19.81 (((~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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4717,plain,
% 19.57/19.81 (((~![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))))),
% 19.57/19.81 inference(monotonicity,[status(thm)],[4716])).
% 19.57/19.81 tff(4718,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(transitivity,[status(thm)],[4717, 4715])).
% 19.57/19.81 tff(4719,plain,
% 19.57/19.81 ((~![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)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4720,plain,
% 19.57/19.81 ((~![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(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 19.57/19.81 tff(4721,plain,
% 19.57/19.81 (~m_main_v_state1(s53, c_n1)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4720, 936, 4514, 4599])).
% 19.57/19.81 tff(4722,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4723,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4724,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 19.57/19.81 tff(4725,plain,
% 19.57/19.81 (~node2(s53)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4724, 652, 4721])).
% 19.57/19.81 tff(4726,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4727,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4728,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 19.57/19.81 tff(4729,plain,
% 19.57/19.81 (~node1(s53)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4728, 206, 4646])).
% 19.57/19.81 tff(4730,plain,
% 19.57/19.81 (((~![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))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4731,plain,
% 19.57/19.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4732,plain,
% 19.57/19.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 19.57/19.81 tff(4733,plain,
% 19.57/19.81 (node7(s53, s54)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4732, 217, 4657])).
% 19.57/19.81 tff(4734,plain,
% 19.57/19.81 (((~![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(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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4735,plain,
% 19.57/19.81 (((~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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4736,plain,
% 19.57/19.81 (((~![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(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))))),
% 19.57/19.81 inference(monotonicity,[status(thm)],[4735])).
% 19.57/19.81 tff(4737,plain,
% 19.57/19.81 (((~![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(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)))),
% 19.57/19.81 inference(transitivity,[status(thm)],[4736, 4734])).
% 19.57/19.81 tff(4738,plain,
% 19.57/19.81 ((~![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(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))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4739,plain,
% 19.57/19.81 ((~![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(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))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 19.57/19.81 tff(4740,plain,
% 19.57/19.81 ((~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)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4739, 965, 4733])).
% 19.57/19.81 tff(4741,plain,
% 19.57/19.81 (m_main_v_state1(s54, c_c1)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4740, 4729, 4642, 4606, 4725, 4714])).
% 19.57/19.81 tff(4742,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4743,plain,
% 19.57/19.81 ((~![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)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4744,plain,
% 19.57/19.81 ((~![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))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 19.57/19.81 tff(4745,plain,
% 19.57/19.81 (~m_main_v_state1(s54, c_n1)),
% 19.57/19.81 inference(unit_resolution,[status(thm)],[4744, 449, 4741])).
% 19.57/19.81 tff(4746,plain,
% 19.57/19.81 (((~![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)))),
% 19.57/19.81 inference(rewrite,[status(thm)],[])).
% 19.57/19.81 tff(4747,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 19.57/19.81 inference(quant_inst,[status(thm)],[])).
% 19.57/19.81 tff(4748,plain,
% 19.57/19.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 19.57/19.81 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 19.57/19.81 tff(4749,plain,
% 19.57/19.81 (~node11(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4748, 361, 4745])).
% 19.57/19.82 tff(4750,plain,
% 19.57/19.82 (succ(s54, s55) <=> succ(s54, s55)),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4751,axiom,(succ(s54, s55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound55')).
% 19.57/19.82 tff(4752,plain,
% 19.57/19.82 (succ(s54, s55)),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 19.57/19.82 tff(4753,plain,
% 19.57/19.82 (((~![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))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4754,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4755,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 19.57/19.82 tff(4756,plain,
% 19.57/19.82 (trans(s54, s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4755, 4752, 57])).
% 19.57/19.82 tff(4757,plain,
% 19.57/19.82 (((~![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))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4758,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4759,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 19.57/19.82 tff(4760,plain,
% 19.57/19.82 (node14(s54, s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4759, 130, 4756])).
% 19.57/19.82 tff(4761,plain,
% 19.57/19.82 (((~![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(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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4762,plain,
% 19.57/19.82 ((~![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(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4763,plain,
% 19.57/19.82 ((~![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(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 19.57/19.82 tff(4764,plain,
% 19.57/19.82 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4763, 401, 4760])).
% 19.57/19.82 tff(4765,plain,
% 19.57/19.82 (node13(s54, s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4764, 4749, 4706, 4702, 4698, 4694, 4677])).
% 19.57/19.82 tff(4766,plain,
% 19.57/19.82 (((~![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(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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4767,plain,
% 19.57/19.82 (((~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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4768,plain,
% 19.57/19.82 (((~![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))))),
% 19.57/19.82 inference(monotonicity,[status(thm)],[4767])).
% 19.57/19.82 tff(4769,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(transitivity,[status(thm)],[4768, 4766])).
% 19.57/19.82 tff(4770,plain,
% 19.57/19.82 ((~![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)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4771,plain,
% 19.57/19.82 ((~![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(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 19.57/19.82 tff(4772,plain,
% 19.57/19.82 (~m_main_v_state2(s55, c_n2)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4771, 416, 4690, 4765])).
% 19.57/19.82 tff(4773,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4774,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4775,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 19.57/19.82 tff(4776,plain,
% 19.57/19.82 (~node9(s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4775, 311, 4772])).
% 19.57/19.82 tff(4777,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4778,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4779,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 19.57/19.82 tff(4780,plain,
% 19.57/19.82 (~node10(s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4779, 372, 4772])).
% 19.57/19.82 tff(4781,plain,
% 19.57/19.82 (((~![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(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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4782,plain,
% 19.57/19.82 (((~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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4783,plain,
% 19.57/19.82 (((~![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))))),
% 19.57/19.82 inference(monotonicity,[status(thm)],[4782])).
% 19.57/19.82 tff(4784,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(transitivity,[status(thm)],[4783, 4781])).
% 19.57/19.82 tff(4785,plain,
% 19.57/19.82 ((~![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))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4786,plain,
% 19.57/19.82 ((~![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(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 19.57/19.82 tff(4787,plain,
% 19.57/19.82 (m_main_v_state2(s55, c_t2)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4786, 563, 4686, 4765])).
% 19.57/19.82 tff(4788,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4789,plain,
% 19.57/19.82 ((~![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)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4790,plain,
% 19.57/19.82 ((~![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))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 19.57/19.82 tff(4791,plain,
% 19.57/19.82 (~m_main_v_state1(s54, c_t1)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4790, 289, 4741])).
% 19.57/19.82 tff(4792,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4793,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4794,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 19.57/19.82 tff(4795,plain,
% 19.57/19.82 (~node5(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4794, 300, 4791])).
% 19.57/19.82 tff(4796,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4797,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4798,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 19.57/19.82 tff(4799,plain,
% 19.57/19.82 (~node4(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4798, 162, 4690])).
% 19.57/19.82 tff(4800,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4801,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4802,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 19.57/19.82 tff(4803,plain,
% 19.57/19.82 (~node3(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4802, 184, 4706])).
% 19.57/19.82 tff(4804,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4805,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4806,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 19.57/19.82 tff(4807,plain,
% 19.57/19.82 (~node2(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4806, 195, 4690])).
% 19.57/19.82 tff(4808,plain,
% 19.57/19.82 (((~![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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4809,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4810,plain,
% 19.57/19.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 19.57/19.82 tff(4811,plain,
% 19.57/19.82 (~node1(s54)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4810, 249, 4745])).
% 19.57/19.82 tff(4812,plain,
% 19.57/19.82 (((~![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))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4813,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 19.57/19.82 inference(quant_inst,[status(thm)],[])).
% 19.57/19.82 tff(4814,plain,
% 19.57/19.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 19.57/19.82 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 19.57/19.82 tff(4815,plain,
% 19.57/19.82 (node7(s54, s55)),
% 19.57/19.82 inference(unit_resolution,[status(thm)],[4814, 217, 4756])).
% 19.57/19.82 tff(4816,plain,
% 19.57/19.82 (((~![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(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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4817,plain,
% 19.57/19.82 (((~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)))),
% 19.57/19.82 inference(rewrite,[status(thm)],[])).
% 19.57/19.82 tff(4818,plain,
% 19.57/19.82 (((~![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(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))))),
% 19.57/19.82 inference(monotonicity,[status(thm)],[4817])).
% 19.57/19.82 tff(4819,plain,
% 19.57/19.82 (((~![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(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)))),
% 19.57/19.83 inference(transitivity,[status(thm)],[4818, 4816])).
% 19.57/19.83 tff(4820,plain,
% 19.57/19.83 ((~![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(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4821,plain,
% 19.57/19.83 ((~![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(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 19.57/19.83 tff(4822,plain,
% 19.57/19.83 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4821, 478, 4815])).
% 19.57/19.83 tff(4823,plain,
% 19.57/19.83 (m_main_v_state1(s55, c_n1)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4822, 4811, 4741, 4807, 4803, 4799, 4795])).
% 19.57/19.83 tff(4824,plain,
% 19.57/19.83 (((~![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)))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4825,plain,
% 19.57/19.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4826,plain,
% 19.57/19.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 19.57/19.83 tff(4827,plain,
% 19.57/19.83 (~node8(s55)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4826, 383, 4772])).
% 19.57/19.83 tff(4828,plain,
% 19.57/19.83 (succ(s55, s56) <=> succ(s55, s56)),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4829,axiom,(succ(s55, s56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound56')).
% 19.57/19.83 tff(4830,plain,
% 19.57/19.83 (succ(s55, s56)),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 19.57/19.83 tff(4831,plain,
% 19.57/19.83 (((~![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))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4832,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4833,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 19.57/19.83 tff(4834,plain,
% 19.57/19.83 (trans(s55, s56)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4833, 4830, 57])).
% 19.57/19.83 tff(4835,plain,
% 19.57/19.83 (((~![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))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4836,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4837,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 19.57/19.83 tff(4838,plain,
% 19.57/19.83 (node14(s55, s56)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4837, 130, 4834])).
% 19.57/19.83 tff(4839,plain,
% 19.57/19.83 (((~![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(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))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4840,plain,
% 19.57/19.83 ((~![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(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))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4841,plain,
% 19.57/19.83 ((~![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(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)),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 19.57/19.83 tff(4842,plain,
% 19.57/19.83 ((~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)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4841, 704, 4838])).
% 19.57/19.83 tff(4843,plain,
% 19.57/19.83 (m_main_v_state2(s56, c_c2)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4842, 4827, 4823, 4787, 4780, 4776])).
% 19.57/19.83 tff(4844,plain,
% 19.57/19.83 (((~![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)))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4845,plain,
% 19.57/19.83 ((~![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)))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4846,plain,
% 19.57/19.83 ((~![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))),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 19.57/19.83 tff(4847,plain,
% 19.57/19.83 (~m_main_v_state2(s56, c_t2)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4846, 173, 4843])).
% 19.57/19.83 tff(4848,plain,
% 19.57/19.83 (((~![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)))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4849,plain,
% 19.57/19.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4850,plain,
% 19.57/19.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 19.57/19.83 tff(4851,plain,
% 19.57/19.83 (~node12(s56)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4850, 778, 4847])).
% 19.57/19.83 tff(4852,plain,
% 19.57/19.83 (((~![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))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(4853,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 19.57/19.83 inference(quant_inst,[status(thm)],[])).
% 19.57/19.83 tff(4854,plain,
% 19.57/19.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 19.57/19.83 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 19.57/19.83 tff(4855,plain,
% 19.57/19.83 (node7(s55, s56)),
% 19.57/19.83 inference(unit_resolution,[status(thm)],[4854, 217, 4834])).
% 19.57/19.83 tff(4856,plain,
% 19.57/19.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4857,plain,
% 19.57/19.84 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4858,plain,
% 19.57/19.84 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 19.57/19.84 tff(4859,plain,
% 19.57/19.84 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4858, 598, 4855])).
% 19.57/19.84 tff(4860,plain,
% 19.57/19.84 (m_main_v_state1(s56, c_t1)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4859, 4787, 4823])).
% 19.57/19.84 tff(4861,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4862,plain,
% 19.57/19.84 ((~![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)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4863,plain,
% 19.57/19.84 ((~![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))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 19.57/19.84 tff(4864,plain,
% 19.57/19.84 (~m_main_v_state1(s56, c_n1)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4863, 35, 4860])).
% 19.57/19.84 tff(4865,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4866,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4867,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 19.57/19.84 tff(4868,plain,
% 19.57/19.84 (~node11(s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4867, 361, 4864])).
% 19.57/19.84 tff(4869,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4870,plain,
% 19.57/19.84 ((~![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)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4871,plain,
% 19.57/19.84 ((~![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))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 19.57/19.84 tff(4872,plain,
% 19.57/19.84 (~m_main_v_state1(s56, c_c1)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4871, 289, 4860])).
% 19.57/19.84 tff(4873,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4874,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4875,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 19.57/19.84 tff(4876,plain,
% 19.57/19.84 (~node10(s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4875, 793, 4872])).
% 19.57/19.84 tff(4877,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4878,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4879,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 19.57/19.84 tff(4880,plain,
% 19.57/19.84 (~node9(s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4879, 804, 4864])).
% 19.57/19.84 tff(4881,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4882,plain,
% 19.57/19.84 ((~![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)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4883,plain,
% 19.57/19.84 ((~![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))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 19.57/19.84 tff(4884,plain,
% 19.57/19.84 (~m_main_v_state2(s56, c_n2)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4883, 716, 4843])).
% 19.57/19.84 tff(4885,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4886,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4887,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 19.57/19.84 tff(4888,plain,
% 19.57/19.84 (~node8(s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4887, 383, 4884])).
% 19.57/19.84 tff(4889,plain,
% 19.57/19.84 (succ(s56, s57) <=> succ(s56, s57)),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4890,axiom,(succ(s56, s57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound57')).
% 19.57/19.84 tff(4891,plain,
% 19.57/19.84 (succ(s56, s57)),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 19.57/19.84 tff(4892,plain,
% 19.57/19.84 (((~![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))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4893,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4894,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 19.57/19.84 tff(4895,plain,
% 19.57/19.84 (trans(s56, s57)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4894, 4891, 57])).
% 19.57/19.84 tff(4896,plain,
% 19.57/19.84 (((~![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))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4897,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4898,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 19.57/19.84 tff(4899,plain,
% 19.57/19.84 (node14(s56, s57)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4898, 130, 4895])).
% 19.57/19.84 tff(4900,plain,
% 19.57/19.84 (((~![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(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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4901,plain,
% 19.57/19.84 (((~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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4902,plain,
% 19.57/19.84 (((~![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(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))))),
% 19.57/19.84 inference(monotonicity,[status(thm)],[4901])).
% 19.57/19.84 tff(4903,plain,
% 19.57/19.84 (((~![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(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)))),
% 19.57/19.84 inference(transitivity,[status(thm)],[4902, 4900])).
% 19.57/19.84 tff(4904,plain,
% 19.57/19.84 ((~![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(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4905,plain,
% 19.57/19.84 ((~![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(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 19.57/19.84 tff(4906,plain,
% 19.57/19.84 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4905, 826, 4899])).
% 19.57/19.84 tff(4907,plain,
% 19.57/19.84 (m_main_v_state2(s57, c_n2)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4906, 4888, 4843, 4880, 4876, 4868, 4851])).
% 19.57/19.84 tff(4908,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4909,plain,
% 19.57/19.84 ((~![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)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4910,plain,
% 19.57/19.84 ((~![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))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 19.57/19.84 tff(4911,plain,
% 19.57/19.84 (~m_main_v_state2(s57, c_c2)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4910, 716, 4907])).
% 19.57/19.84 tff(4912,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4913,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4914,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 19.57/19.84 tff(4915,plain,
% 19.57/19.84 (~node3(s57)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4914, 184, 4911])).
% 19.57/19.84 tff(4916,plain,
% 19.57/19.84 (((~![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)))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4917,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4918,plain,
% 19.57/19.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 19.57/19.84 tff(4919,plain,
% 19.57/19.84 (~node1(s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4918, 249, 4864])).
% 19.57/19.84 tff(4920,plain,
% 19.57/19.84 (((~![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))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4921,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4922,plain,
% 19.57/19.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 19.57/19.84 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 19.57/19.84 tff(4923,plain,
% 19.57/19.84 (node18(s55, s56)),
% 19.57/19.84 inference(unit_resolution,[status(thm)],[4922, 71, 4834])).
% 19.57/19.84 tff(4924,plain,
% 19.57/19.84 (((~![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(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))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(4925,plain,
% 19.57/19.84 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 19.57/19.84 inference(quant_inst,[status(thm)],[])).
% 19.57/19.84 tff(4926,plain,
% 19.57/19.84 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 19.57/19.85 tff(4927,plain,
% 19.57/19.85 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4926, 625, 4923])).
% 19.57/19.85 tff(4928,plain,
% 19.57/19.85 (m_main_v_turn(s56, c_2)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4927, 4787, 4823])).
% 19.57/19.85 tff(4929,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4930,plain,
% 19.57/19.85 ((~![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)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4931,plain,
% 19.57/19.85 ((~![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))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 19.57/19.85 tff(4932,plain,
% 19.57/19.85 (~m_main_v_turn(s56, c_1)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4931, 322, 4928])).
% 19.57/19.85 tff(4933,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4934,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4935,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 19.57/19.85 tff(4936,plain,
% 19.57/19.85 (~node5(s56)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4935, 641, 4932])).
% 19.57/19.85 tff(4937,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4938,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4939,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 19.57/19.85 tff(4940,plain,
% 19.57/19.85 (~node2(s56)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4939, 652, 4864])).
% 19.57/19.85 tff(4941,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4942,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4943,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 19.57/19.85 tff(4944,plain,
% 19.57/19.85 (~node3(s56)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4943, 663, 4864])).
% 19.57/19.85 tff(4945,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4946,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4947,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 19.57/19.85 tff(4948,plain,
% 19.57/19.85 (~node4(s56)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4947, 162, 4884])).
% 19.57/19.85 tff(4949,plain,
% 19.57/19.85 (((~![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))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4950,plain,
% 19.57/19.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4951,plain,
% 19.57/19.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 19.57/19.85 tff(4952,plain,
% 19.57/19.85 (node7(s56, s57)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4951, 217, 4895])).
% 19.57/19.85 tff(4953,plain,
% 19.57/19.85 (((~![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(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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4954,plain,
% 19.57/19.85 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4955,plain,
% 19.57/19.85 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 19.57/19.85 tff(4956,plain,
% 19.57/19.85 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4955, 745, 4952])).
% 19.57/19.85 tff(4957,plain,
% 19.57/19.85 (node6(s56, s57)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4956, 4948, 4872, 4944, 4940, 4936, 4919])).
% 19.57/19.85 tff(4958,plain,
% 19.57/19.85 (((~![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(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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4959,plain,
% 19.57/19.85 (((~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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4960,plain,
% 19.57/19.85 (((~![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))))),
% 19.57/19.85 inference(monotonicity,[status(thm)],[4959])).
% 19.57/19.85 tff(4961,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(transitivity,[status(thm)],[4960, 4958])).
% 19.57/19.85 tff(4962,plain,
% 19.57/19.85 ((~![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)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4963,plain,
% 19.57/19.85 ((~![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(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 19.57/19.85 tff(4964,plain,
% 19.57/19.85 (~m_main_v_state1(s57, c_n1)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4963, 936, 4864, 4957])).
% 19.57/19.85 tff(4965,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4966,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4967,plain,
% 19.57/19.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 19.57/19.85 tff(4968,plain,
% 19.57/19.85 (~node2(s57)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4967, 652, 4964])).
% 19.57/19.85 tff(4969,plain,
% 19.57/19.85 (((~![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(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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4970,plain,
% 19.57/19.85 (((~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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4971,plain,
% 19.57/19.85 (((~![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))))),
% 19.57/19.85 inference(monotonicity,[status(thm)],[4970])).
% 19.57/19.85 tff(4972,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(transitivity,[status(thm)],[4971, 4969])).
% 19.57/19.85 tff(4973,plain,
% 19.57/19.85 ((~![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))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4974,plain,
% 19.57/19.85 ((~![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(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 19.57/19.85 tff(4975,plain,
% 19.57/19.85 (m_main_v_state1(s57, c_t1)),
% 19.57/19.85 inference(unit_resolution,[status(thm)],[4974, 760, 4860, 4957])).
% 19.57/19.85 tff(4976,plain,
% 19.57/19.85 (((~![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)))),
% 19.57/19.85 inference(rewrite,[status(thm)],[])).
% 19.57/19.85 tff(4977,plain,
% 19.57/19.85 ((~![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)))),
% 19.57/19.85 inference(quant_inst,[status(thm)],[])).
% 19.57/19.85 tff(4978,plain,
% 19.57/19.85 ((~![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))),
% 19.57/19.85 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 19.57/19.86 tff(4979,plain,
% 19.57/19.86 (~m_main_v_state2(s57, c_t2)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[4978, 10, 4907])).
% 19.57/19.86 tff(4980,plain,
% 19.57/19.86 (((~![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)))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4981,plain,
% 19.57/19.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(4982,plain,
% 19.57/19.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 19.57/19.86 tff(4983,plain,
% 19.57/19.86 (~node1(s57)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[4982, 206, 4979])).
% 19.57/19.86 tff(4984,plain,
% 19.57/19.86 (succ(s57, s58) <=> succ(s57, s58)),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4985,axiom,(succ(s57, s58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound58')).
% 19.57/19.86 tff(4986,plain,
% 19.57/19.86 (succ(s57, s58)),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 19.57/19.86 tff(4987,plain,
% 19.57/19.86 (((~![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))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4988,plain,
% 19.57/19.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(4989,plain,
% 19.57/19.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 19.57/19.86 tff(4990,plain,
% 19.57/19.86 (trans(s57, s58)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[4989, 4986, 57])).
% 19.57/19.86 tff(4991,plain,
% 19.57/19.86 (((~![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))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4992,plain,
% 19.57/19.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(4993,plain,
% 19.57/19.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 19.57/19.86 tff(4994,plain,
% 19.57/19.86 (node7(s57, s58)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[4993, 217, 4990])).
% 19.57/19.86 tff(4995,plain,
% 19.57/19.86 (((~![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(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)))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4996,plain,
% 19.57/19.86 (((~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)))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(4997,plain,
% 19.57/19.86 (((~![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(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))))),
% 19.57/19.86 inference(monotonicity,[status(thm)],[4996])).
% 19.57/19.86 tff(4998,plain,
% 19.57/19.86 (((~![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(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)))),
% 19.57/19.86 inference(transitivity,[status(thm)],[4997, 4995])).
% 19.57/19.86 tff(4999,plain,
% 19.57/19.86 ((~![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(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))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(5000,plain,
% 19.57/19.86 ((~![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(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))),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 19.57/19.86 tff(5001,plain,
% 19.57/19.86 ((~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)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[5000, 965, 4994])).
% 19.57/19.86 tff(5002,plain,
% 19.57/19.86 (m_main_v_state1(s58, c_c1)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[5001, 4983, 4907, 4975, 4968, 4915])).
% 19.57/19.86 tff(5003,plain,
% 19.57/19.86 (((~![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)))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(5004,plain,
% 19.57/19.86 ((~![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)))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(5005,plain,
% 19.57/19.86 ((~![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))),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 19.57/19.86 tff(5006,plain,
% 19.57/19.86 (~m_main_v_state1(s58, c_t1)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[5005, 289, 5002])).
% 19.57/19.86 tff(5007,plain,
% 19.57/19.86 (((~![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)))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(5008,plain,
% 19.57/19.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(5009,plain,
% 19.57/19.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 19.57/19.86 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 19.57/19.86 tff(5010,plain,
% 19.57/19.86 (~node5(s58)),
% 19.57/19.86 inference(unit_resolution,[status(thm)],[5009, 300, 5006])).
% 19.57/19.86 tff(5011,plain,
% 19.57/19.86 (((~![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))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(5012,plain,
% 19.57/19.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 19.57/19.86 inference(quant_inst,[status(thm)],[])).
% 19.57/19.86 tff(5013,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 19.57/19.87 tff(5014,plain,
% 19.57/19.87 (node14(s57, s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5013, 130, 4990])).
% 19.57/19.87 tff(5015,plain,
% 19.57/19.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5016,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5017,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2)),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 19.57/19.87 tff(5018,plain,
% 19.57/19.87 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5017, 893, 5014])).
% 19.57/19.87 tff(5019,plain,
% 19.57/19.87 (m_main_v_state2(s58, c_t2)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5018, 4975, 4907])).
% 19.57/19.87 tff(5020,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5021,plain,
% 19.57/19.87 ((~![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)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5022,plain,
% 19.57/19.87 ((~![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))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 19.57/19.87 tff(5023,plain,
% 19.57/19.87 (~m_main_v_state2(s58, c_n2)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5022, 10, 5019])).
% 19.57/19.87 tff(5024,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5025,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5026,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 19.57/19.87 tff(5027,plain,
% 19.57/19.87 (~node4(s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5026, 162, 5023])).
% 19.57/19.87 tff(5028,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5029,plain,
% 19.57/19.87 ((~![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)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5030,plain,
% 19.57/19.87 ((~![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))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 19.57/19.87 tff(5031,plain,
% 19.57/19.87 (~m_main_v_state2(s58, c_c2)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5030, 173, 5019])).
% 19.57/19.87 tff(5032,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5033,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5034,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 19.57/19.87 tff(5035,plain,
% 19.57/19.87 (~node3(s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5034, 184, 5031])).
% 19.57/19.87 tff(5036,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5037,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5038,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 19.57/19.87 tff(5039,plain,
% 19.57/19.87 (~node2(s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5038, 195, 5023])).
% 19.57/19.87 tff(5040,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5041,plain,
% 19.57/19.87 ((~![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)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5042,plain,
% 19.57/19.87 ((~![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))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 19.57/19.87 tff(5043,plain,
% 19.57/19.87 (~m_main_v_state1(s58, c_n1)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5042, 449, 5002])).
% 19.57/19.87 tff(5044,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5045,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5046,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 19.57/19.87 tff(5047,plain,
% 19.57/19.87 (~node1(s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5046, 249, 5043])).
% 19.57/19.87 tff(5048,plain,
% 19.57/19.87 (succ(s58, s59) <=> succ(s58, s59)),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5049,axiom,(succ(s58, s59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound59')).
% 19.57/19.87 tff(5050,plain,
% 19.57/19.87 (succ(s58, s59)),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 19.57/19.87 tff(5051,plain,
% 19.57/19.87 (((~![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))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5052,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5053,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 19.57/19.87 tff(5054,plain,
% 19.57/19.87 (trans(s58, s59)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5053, 5050, 57])).
% 19.57/19.87 tff(5055,plain,
% 19.57/19.87 (((~![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))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5056,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5057,plain,
% 19.57/19.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 19.57/19.87 tff(5058,plain,
% 19.57/19.87 (node7(s58, s59)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5057, 217, 5054])).
% 19.57/19.87 tff(5059,plain,
% 19.57/19.87 (((~![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(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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5060,plain,
% 19.57/19.87 (((~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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5061,plain,
% 19.57/19.87 (((~![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(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))))),
% 19.57/19.87 inference(monotonicity,[status(thm)],[5060])).
% 19.57/19.87 tff(5062,plain,
% 19.57/19.87 (((~![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(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)))),
% 19.57/19.87 inference(transitivity,[status(thm)],[5061, 5059])).
% 19.57/19.87 tff(5063,plain,
% 19.57/19.87 ((~![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(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5064,plain,
% 19.57/19.87 ((~![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(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 19.57/19.87 tff(5065,plain,
% 19.57/19.87 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5064, 478, 5058])).
% 19.57/19.87 tff(5066,plain,
% 19.57/19.87 (m_main_v_state1(s59, c_n1)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5065, 5047, 5002, 5039, 5035, 5027, 5010])).
% 19.57/19.87 tff(5067,plain,
% 19.57/19.87 (((~![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)))),
% 19.57/19.87 inference(rewrite,[status(thm)],[])).
% 19.57/19.87 tff(5068,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 19.57/19.87 inference(quant_inst,[status(thm)],[])).
% 19.57/19.87 tff(5069,plain,
% 19.57/19.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 19.57/19.87 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 19.57/19.87 tff(5070,plain,
% 19.57/19.87 (~node15(s57)),
% 19.57/19.87 inference(unit_resolution,[status(thm)],[5069, 21, 4979])).
% 19.57/19.87 tff(5071,plain,
% 19.57/19.87 (((~![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))),
% 19.57/19.88 inference(rewrite,[status(thm)],[])).
% 19.57/19.88 tff(5072,plain,
% 19.57/19.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 19.57/19.88 inference(quant_inst,[status(thm)],[])).
% 19.57/19.88 tff(5073,plain,
% 19.57/19.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 19.57/19.88 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 19.57/19.88 tff(5074,plain,
% 19.57/19.88 (node18(s57, s58)),
% 19.57/19.88 inference(unit_resolution,[status(thm)],[5073, 71, 4990])).
% 19.57/19.88 tff(5075,plain,
% 19.57/19.88 (((~![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(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))),
% 19.57/19.88 inference(rewrite,[status(thm)],[])).
% 19.57/19.88 tff(5076,plain,
% 19.57/19.88 (((~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))),
% 19.57/19.88 inference(rewrite,[status(thm)],[])).
% 19.57/19.88 tff(5077,plain,
% 19.57/19.88 (((~![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(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)))),
% 19.57/19.88 inference(monotonicity,[status(thm)],[5076])).
% 19.57/19.88 tff(5078,plain,
% 19.57/19.88 (((~![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(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))),
% 19.57/19.88 inference(transitivity,[status(thm)],[5077, 5075])).
% 19.57/19.88 tff(5079,plain,
% 19.57/19.88 ((~![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(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))),
% 19.57/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5080,plain,
% 19.67/19.88 ((~![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(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)),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 19.67/19.88 tff(5081,plain,
% 19.67/19.88 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5080, 863, 5074])).
% 19.67/19.88 tff(5082,plain,
% 19.67/19.88 (m_main_v_turn(s58, c_1)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5081, 5070, 4907, 4975])).
% 19.67/19.88 tff(5083,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5084,plain,
% 19.67/19.88 ((~![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)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5085,plain,
% 19.67/19.88 ((~![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))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 19.67/19.88 tff(5086,plain,
% 19.67/19.88 (~m_main_v_turn(s58, c_2)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5085, 322, 5082])).
% 19.67/19.88 tff(5087,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5088,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5089,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 19.67/19.88 tff(5090,plain,
% 19.67/19.88 (~node12(s58)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5089, 350, 5086])).
% 19.67/19.88 tff(5091,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5092,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5093,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 19.67/19.88 tff(5094,plain,
% 19.67/19.88 (~node8(s58)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5093, 383, 5023])).
% 19.67/19.88 tff(5095,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5096,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5097,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 19.67/19.88 tff(5098,plain,
% 19.67/19.88 (~node9(s58)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5097, 311, 5023])).
% 19.67/19.88 tff(5099,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5100,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5101,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 19.67/19.88 tff(5102,plain,
% 19.67/19.88 (~node10(s58)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5101, 372, 5023])).
% 19.67/19.88 tff(5103,plain,
% 19.67/19.88 (((~![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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5104,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5105,plain,
% 19.67/19.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 19.67/19.88 tff(5106,plain,
% 19.67/19.88 (~node11(s58)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5105, 361, 5043])).
% 19.67/19.88 tff(5107,plain,
% 19.67/19.88 (((~![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))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5108,plain,
% 19.67/19.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5109,plain,
% 19.67/19.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 19.67/19.88 tff(5110,plain,
% 19.67/19.88 (node14(s58, s59)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5109, 130, 5054])).
% 19.67/19.88 tff(5111,plain,
% 19.67/19.88 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5112,plain,
% 19.67/19.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 19.67/19.88 inference(quant_inst,[status(thm)],[])).
% 19.67/19.88 tff(5113,plain,
% 19.67/19.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59))),
% 19.67/19.88 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 19.67/19.88 tff(5114,plain,
% 19.67/19.88 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5113, 401, 5110])).
% 19.67/19.88 tff(5115,plain,
% 19.67/19.88 (node13(s58, s59)),
% 19.67/19.88 inference(unit_resolution,[status(thm)],[5114, 5106, 5031, 5102, 5098, 5094, 5090])).
% 19.67/19.88 tff(5116,plain,
% 19.67/19.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5117,plain,
% 19.67/19.88 (((~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)))),
% 19.67/19.88 inference(rewrite,[status(thm)],[])).
% 19.67/19.88 tff(5118,plain,
% 19.67/19.88 (((~![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))))),
% 19.67/19.89 inference(monotonicity,[status(thm)],[5117])).
% 19.67/19.89 tff(5119,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(transitivity,[status(thm)],[5118, 5116])).
% 19.67/19.89 tff(5120,plain,
% 19.67/19.89 ((~![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))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5121,plain,
% 19.67/19.89 ((~![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(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 19.67/19.89 tff(5122,plain,
% 19.67/19.89 (m_main_v_state2(s59, c_t2)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5121, 563, 5019, 5115])).
% 19.67/19.89 tff(5123,plain,
% 19.67/19.89 (succ(s59, s60) <=> succ(s59, s60)),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5124,axiom,(succ(s59, s60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound60')).
% 19.67/19.89 tff(5125,plain,
% 19.67/19.89 (succ(s59, s60)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 19.67/19.89 tff(5126,plain,
% 19.67/19.89 (((~![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))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5127,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5128,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 19.67/19.89 tff(5129,plain,
% 19.67/19.89 (trans(s59, s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5128, 5125, 57])).
% 19.67/19.89 tff(5130,plain,
% 19.67/19.89 (((~![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))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5131,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5132,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 19.67/19.89 tff(5133,plain,
% 19.67/19.89 (node7(s59, s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5132, 217, 5129])).
% 19.67/19.89 tff(5134,plain,
% 19.67/19.89 (((~![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(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))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5135,plain,
% 19.67/19.89 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5136,plain,
% 19.67/19.89 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 19.67/19.89 tff(5137,plain,
% 19.67/19.89 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5136, 598, 5133])).
% 19.67/19.89 tff(5138,plain,
% 19.67/19.89 (m_main_v_state1(s60, c_t1)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5137, 5122, 5066])).
% 19.67/19.89 tff(5139,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5140,plain,
% 19.67/19.89 ((~![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)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5141,plain,
% 19.67/19.89 ((~![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))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 19.67/19.89 tff(5142,plain,
% 19.67/19.89 (~m_main_v_state1(s60, c_n1)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5141, 35, 5138])).
% 19.67/19.89 tff(5143,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5144,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5145,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 19.67/19.89 tff(5146,plain,
% 19.67/19.89 (~node1(s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5145, 249, 5142])).
% 19.67/19.89 tff(5147,plain,
% 19.67/19.89 (((~![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))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5148,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5149,plain,
% 19.67/19.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 19.67/19.89 tff(5150,plain,
% 19.67/19.89 (node18(s59, s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5149, 71, 5129])).
% 19.67/19.89 tff(5151,plain,
% 19.67/19.89 (((~![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(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))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5152,plain,
% 19.67/19.89 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5153,plain,
% 19.67/19.89 ((~![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(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 19.67/19.89 tff(5154,plain,
% 19.67/19.89 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5153, 625, 5150])).
% 19.67/19.89 tff(5155,plain,
% 19.67/19.89 (m_main_v_turn(s60, c_2)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5154, 5122, 5066])).
% 19.67/19.89 tff(5156,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5157,plain,
% 19.67/19.89 ((~![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)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5158,plain,
% 19.67/19.89 ((~![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))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 19.67/19.89 tff(5159,plain,
% 19.67/19.89 (~m_main_v_turn(s60, c_1)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5158, 322, 5155])).
% 19.67/19.89 tff(5160,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5161,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5162,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 19.67/19.89 tff(5163,plain,
% 19.67/19.89 (~node5(s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5162, 641, 5159])).
% 19.67/19.89 tff(5164,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5165,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5166,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 19.67/19.89 tff(5167,plain,
% 19.67/19.89 (~node2(s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5166, 652, 5142])).
% 19.67/19.89 tff(5168,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5169,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5170,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 19.67/19.89 tff(5171,plain,
% 19.67/19.89 (~node3(s60)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5170, 663, 5142])).
% 19.67/19.89 tff(5172,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5173,plain,
% 19.67/19.89 ((~![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)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5174,plain,
% 19.67/19.89 ((~![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))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 19.67/19.89 tff(5175,plain,
% 19.67/19.89 (~m_main_v_state1(s60, c_c1)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5174, 289, 5138])).
% 19.67/19.89 tff(5176,plain,
% 19.67/19.89 (((~![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(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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5177,plain,
% 19.67/19.89 (((~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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5178,plain,
% 19.67/19.89 (((~![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))))),
% 19.67/19.89 inference(monotonicity,[status(thm)],[5177])).
% 19.67/19.89 tff(5179,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(transitivity,[status(thm)],[5178, 5176])).
% 19.67/19.89 tff(5180,plain,
% 19.67/19.89 ((~![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)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5181,plain,
% 19.67/19.89 ((~![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(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 19.67/19.89 tff(5182,plain,
% 19.67/19.89 (~m_main_v_state2(s59, c_n2)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5181, 416, 5023, 5115])).
% 19.67/19.89 tff(5183,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5184,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5185,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 19.67/19.89 tff(5186,plain,
% 19.67/19.89 (~node9(s59)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5185, 311, 5182])).
% 19.67/19.89 tff(5187,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5188,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.89 tff(5189,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 19.67/19.89 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 19.67/19.89 tff(5190,plain,
% 19.67/19.89 (~node10(s59)),
% 19.67/19.89 inference(unit_resolution,[status(thm)],[5189, 372, 5182])).
% 19.67/19.89 tff(5191,plain,
% 19.67/19.89 (((~![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)))),
% 19.67/19.89 inference(rewrite,[status(thm)],[])).
% 19.67/19.89 tff(5192,plain,
% 19.67/19.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 19.67/19.89 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5193,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 19.67/19.90 tff(5194,plain,
% 19.67/19.90 (~node8(s59)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5193, 383, 5182])).
% 19.67/19.90 tff(5195,plain,
% 19.67/19.90 (((~![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))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5196,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5197,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 19.67/19.90 tff(5198,plain,
% 19.67/19.90 (node14(s59, s60)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5197, 130, 5129])).
% 19.67/19.90 tff(5199,plain,
% 19.67/19.90 (((~![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(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))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5200,plain,
% 19.67/19.90 ((~![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(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))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5201,plain,
% 19.67/19.90 ((~![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(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)),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 19.67/19.90 tff(5202,plain,
% 19.67/19.90 ((~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)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5201, 704, 5198])).
% 19.67/19.90 tff(5203,plain,
% 19.67/19.90 (m_main_v_state2(s60, c_c2)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5202, 5194, 5066, 5122, 5190, 5186])).
% 19.67/19.90 tff(5204,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5205,plain,
% 19.67/19.90 ((~![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)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5206,plain,
% 19.67/19.90 ((~![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))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 19.67/19.90 tff(5207,plain,
% 19.67/19.90 (~m_main_v_state2(s60, c_n2)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5206, 716, 5203])).
% 19.67/19.90 tff(5208,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5209,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5210,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 19.67/19.90 tff(5211,plain,
% 19.67/19.90 (~node4(s60)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5210, 162, 5207])).
% 19.67/19.90 tff(5212,plain,
% 19.67/19.90 (succ(s60, s61) <=> succ(s60, s61)),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5213,axiom,(succ(s60, s61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound61')).
% 19.67/19.90 tff(5214,plain,
% 19.67/19.90 (succ(s60, s61)),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 19.67/19.90 tff(5215,plain,
% 19.67/19.90 (((~![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))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5216,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5217,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 19.67/19.90 tff(5218,plain,
% 19.67/19.90 (trans(s60, s61)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5217, 5214, 57])).
% 19.67/19.90 tff(5219,plain,
% 19.67/19.90 (((~![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))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5220,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5221,plain,
% 19.67/19.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 19.67/19.90 tff(5222,plain,
% 19.67/19.90 (node7(s60, s61)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5221, 217, 5218])).
% 19.67/19.90 tff(5223,plain,
% 19.67/19.90 (((~![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(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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5224,plain,
% 19.67/19.90 ((~![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(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5225,plain,
% 19.67/19.90 ((~![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(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 19.67/19.90 tff(5226,plain,
% 19.67/19.90 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5225, 745, 5222])).
% 19.67/19.90 tff(5227,plain,
% 19.67/19.90 (node6(s60, s61)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5226, 5211, 5175, 5171, 5167, 5163, 5146])).
% 19.67/19.90 tff(5228,plain,
% 19.67/19.90 (((~![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(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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5229,plain,
% 19.67/19.90 (((~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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5230,plain,
% 19.67/19.90 (((~![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))))),
% 19.67/19.90 inference(monotonicity,[status(thm)],[5229])).
% 19.67/19.90 tff(5231,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(transitivity,[status(thm)],[5230, 5228])).
% 19.67/19.90 tff(5232,plain,
% 19.67/19.90 ((~![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))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5233,plain,
% 19.67/19.90 ((~![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(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 19.67/19.90 tff(5234,plain,
% 19.67/19.90 (m_main_v_state1(s61, c_t1)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5233, 760, 5138, 5227])).
% 19.67/19.90 tff(5235,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5236,plain,
% 19.67/19.90 ((~![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)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5237,plain,
% 19.67/19.90 ((~![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))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 19.67/19.90 tff(5238,plain,
% 19.67/19.90 (~m_main_v_state2(s60, c_t2)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5237, 173, 5203])).
% 19.67/19.90 tff(5239,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5240,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5241,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 19.67/19.90 tff(5242,plain,
% 19.67/19.90 (~node12(s60)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5241, 778, 5238])).
% 19.67/19.90 tff(5243,plain,
% 19.67/19.90 (((~![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)))),
% 19.67/19.90 inference(rewrite,[status(thm)],[])).
% 19.67/19.90 tff(5244,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 19.67/19.90 inference(quant_inst,[status(thm)],[])).
% 19.67/19.90 tff(5245,plain,
% 19.67/19.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 19.67/19.90 tff(5246,plain,
% 19.67/19.90 (~node11(s60)),
% 19.67/19.90 inference(unit_resolution,[status(thm)],[5245, 361, 5142])).
% 19.67/19.91 tff(5247,plain,
% 19.67/19.91 (((~![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)))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5248,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 19.67/19.91 inference(quant_inst,[status(thm)],[])).
% 19.67/19.91 tff(5249,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 19.67/19.91 tff(5250,plain,
% 19.67/19.91 (~node10(s60)),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[5249, 793, 5175])).
% 19.67/19.91 tff(5251,plain,
% 19.67/19.91 (((~![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)))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5252,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 19.67/19.91 inference(quant_inst,[status(thm)],[])).
% 19.67/19.91 tff(5253,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 19.67/19.91 tff(5254,plain,
% 19.67/19.91 (~node9(s60)),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[5253, 804, 5142])).
% 19.67/19.91 tff(5255,plain,
% 19.67/19.91 (((~![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)))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5256,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 19.67/19.91 inference(quant_inst,[status(thm)],[])).
% 19.67/19.91 tff(5257,plain,
% 19.67/19.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 19.67/19.91 tff(5258,plain,
% 19.67/19.91 (~node8(s60)),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[5257, 383, 5207])).
% 19.67/19.91 tff(5259,plain,
% 19.67/19.91 (((~![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))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5260,plain,
% 19.67/19.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 19.67/19.91 inference(quant_inst,[status(thm)],[])).
% 19.67/19.91 tff(5261,plain,
% 19.67/19.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 19.67/19.91 tff(5262,plain,
% 19.67/19.91 (node14(s60, s61)),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[5261, 130, 5218])).
% 19.67/19.91 tff(5263,plain,
% 19.67/19.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5264,plain,
% 19.67/19.91 (((~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)))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(5265,plain,
% 19.67/19.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 19.70/19.91 inference(monotonicity,[status(thm)],[5264])).
% 19.70/19.91 tff(5266,plain,
% 19.70/19.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 19.70/19.91 inference(transitivity,[status(thm)],[5265, 5263])).
% 19.70/19.91 tff(5267,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5268,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 19.70/19.91 tff(5269,plain,
% 19.70/19.91 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5268, 826, 5262])).
% 19.70/19.91 tff(5270,plain,
% 19.70/19.91 (m_main_v_state2(s61, c_n2)),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5269, 5258, 5203, 5254, 5250, 5246, 5242])).
% 19.70/19.91 tff(5271,plain,
% 19.70/19.91 (((~![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)))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5272,plain,
% 19.70/19.91 ((~![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)))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5273,plain,
% 19.70/19.91 ((~![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))),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 19.70/19.91 tff(5274,plain,
% 19.70/19.91 (~m_main_v_state2(s61, c_t2)),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5273, 10, 5270])).
% 19.70/19.91 tff(5275,plain,
% 19.70/19.91 (((~![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)))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5276,plain,
% 19.70/19.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5277,plain,
% 19.70/19.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 19.70/19.91 tff(5278,plain,
% 19.70/19.91 (~node15(s61)),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5277, 21, 5274])).
% 19.70/19.91 tff(5279,plain,
% 19.70/19.91 (succ(s61, s62) <=> succ(s61, s62)),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5280,axiom,(succ(s61, s62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound62')).
% 19.70/19.91 tff(5281,plain,
% 19.70/19.91 (succ(s61, s62)),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 19.70/19.91 tff(5282,plain,
% 19.70/19.91 (((~![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))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5283,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5284,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 19.70/19.91 tff(5285,plain,
% 19.70/19.91 (trans(s61, s62)),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5284, 5281, 57])).
% 19.70/19.91 tff(5286,plain,
% 19.70/19.91 (((~![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))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5287,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5288,plain,
% 19.70/19.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 19.70/19.91 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 19.70/19.91 tff(5289,plain,
% 19.70/19.91 (node18(s61, s62)),
% 19.70/19.91 inference(unit_resolution,[status(thm)],[5288, 71, 5285])).
% 19.70/19.91 tff(5290,plain,
% 19.70/19.91 (((~![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(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))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5291,plain,
% 19.70/19.91 (((~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))),
% 19.70/19.91 inference(rewrite,[status(thm)],[])).
% 19.70/19.91 tff(5292,plain,
% 19.70/19.91 (((~![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(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)))),
% 19.70/19.91 inference(monotonicity,[status(thm)],[5291])).
% 19.70/19.91 tff(5293,plain,
% 19.70/19.91 (((~![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(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))),
% 19.70/19.91 inference(transitivity,[status(thm)],[5292, 5290])).
% 19.70/19.91 tff(5294,plain,
% 19.70/19.91 ((~![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(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))),
% 19.70/19.91 inference(quant_inst,[status(thm)],[])).
% 19.70/19.91 tff(5295,plain,
% 19.70/19.91 ((~![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(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)),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 19.70/19.92 tff(5296,plain,
% 19.70/19.92 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5295, 863, 5289])).
% 19.70/19.92 tff(5297,plain,
% 19.70/19.92 (m_main_v_turn(s62, c_1)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5296, 5278, 5270, 5234])).
% 19.70/19.92 tff(5298,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5299,plain,
% 19.70/19.92 ((~![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)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5300,plain,
% 19.70/19.92 ((~![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))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 19.70/19.92 tff(5301,plain,
% 19.70/19.92 (~m_main_v_turn(s62, c_2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5300, 322, 5297])).
% 19.70/19.92 tff(5302,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5303,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5304,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 19.70/19.92 tff(5305,plain,
% 19.70/19.92 (~node12(s62)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5304, 350, 5301])).
% 19.70/19.92 tff(5306,plain,
% 19.70/19.92 (((~![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))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5307,plain,
% 19.70/19.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5308,plain,
% 19.70/19.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 19.70/19.92 tff(5309,plain,
% 19.70/19.92 (node14(s61, s62)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5308, 130, 5285])).
% 19.70/19.92 tff(5310,plain,
% 19.70/19.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5311,plain,
% 19.70/19.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5312,plain,
% 19.70/19.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 19.70/19.92 tff(5313,plain,
% 19.70/19.92 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5312, 893, 5309])).
% 19.70/19.92 tff(5314,plain,
% 19.70/19.92 (m_main_v_state2(s62, c_t2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5313, 5234, 5270])).
% 19.70/19.92 tff(5315,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5316,plain,
% 19.70/19.92 ((~![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)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5317,plain,
% 19.70/19.92 ((~![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))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 19.70/19.92 tff(5318,plain,
% 19.70/19.92 (~m_main_v_state2(s62, c_n2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5317, 10, 5314])).
% 19.70/19.92 tff(5319,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5320,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5321,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 19.70/19.92 tff(5322,plain,
% 19.70/19.92 (~node8(s62)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5321, 383, 5318])).
% 19.70/19.92 tff(5323,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5324,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5325,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 19.70/19.92 tff(5326,plain,
% 19.70/19.92 (~node9(s62)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5325, 311, 5318])).
% 19.70/19.92 tff(5327,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5328,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5329,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 19.70/19.92 tff(5330,plain,
% 19.70/19.92 (~node10(s62)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5329, 372, 5318])).
% 19.70/19.92 tff(5331,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5332,plain,
% 19.70/19.92 ((~![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)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5333,plain,
% 19.70/19.92 ((~![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))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 19.70/19.92 tff(5334,plain,
% 19.70/19.92 (~m_main_v_state2(s62, c_c2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5333, 173, 5314])).
% 19.70/19.92 tff(5335,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5336,plain,
% 19.70/19.92 ((~![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)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5337,plain,
% 19.70/19.92 ((~![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))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 19.70/19.92 tff(5338,plain,
% 19.70/19.92 (~m_main_v_state2(s61, c_c2)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5337, 716, 5270])).
% 19.70/19.92 tff(5339,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5340,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5341,plain,
% 19.70/19.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 19.70/19.92 tff(5342,plain,
% 19.70/19.92 (~node3(s61)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5341, 184, 5338])).
% 19.70/19.92 tff(5343,plain,
% 19.70/19.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5344,plain,
% 19.70/19.92 (((~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)))),
% 19.70/19.92 inference(rewrite,[status(thm)],[])).
% 19.70/19.92 tff(5345,plain,
% 19.70/19.92 (((~![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))))),
% 19.70/19.92 inference(monotonicity,[status(thm)],[5344])).
% 19.70/19.92 tff(5346,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.92 inference(transitivity,[status(thm)],[5345, 5343])).
% 19.70/19.92 tff(5347,plain,
% 19.70/19.92 ((~![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)))),
% 19.70/19.92 inference(quant_inst,[status(thm)],[])).
% 19.70/19.92 tff(5348,plain,
% 19.70/19.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 19.70/19.92 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 19.70/19.92 tff(5349,plain,
% 19.70/19.92 (~m_main_v_state1(s61, c_n1)),
% 19.70/19.92 inference(unit_resolution,[status(thm)],[5348, 936, 5142, 5227])).
% 19.70/19.92 tff(5350,plain,
% 19.70/19.92 (((~![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)))),
% 19.70/19.93 inference(rewrite,[status(thm)],[])).
% 19.70/19.93 tff(5351,plain,
% 19.70/19.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 19.70/19.93 inference(quant_inst,[status(thm)],[])).
% 19.70/19.93 tff(5352,plain,
% 19.70/19.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 19.70/19.93 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 19.70/19.93 tff(5353,plain,
% 19.70/19.93 (~node2(s61)),
% 19.70/19.93 inference(unit_resolution,[status(thm)],[5352, 652, 5349])).
% 19.70/19.93 tff(5354,plain,
% 19.70/19.93 (((~![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)))),
% 19.70/19.93 inference(rewrite,[status(thm)],[])).
% 19.70/19.93 tff(5355,plain,
% 19.70/19.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 19.70/19.93 inference(quant_inst,[status(thm)],[])).
% 19.70/19.93 tff(5356,plain,
% 19.70/19.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 19.70/19.93 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 19.70/19.93 tff(5357,plain,
% 19.70/19.93 (~node1(s61)),
% 19.70/19.93 inference(unit_resolution,[status(thm)],[5356, 206, 5274])).
% 19.70/19.93 tff(5358,plain,
% 19.70/19.93 (((~![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))),
% 19.70/19.93 inference(rewrite,[status(thm)],[])).
% 19.70/19.93 tff(5359,plain,
% 19.70/19.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 19.70/19.93 inference(quant_inst,[status(thm)],[])).
% 19.70/19.93 tff(5360,plain,
% 19.70/19.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 19.70/19.93 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 19.70/19.93 tff(5361,plain,
% 19.70/19.93 (node7(s61, s62)),
% 19.70/19.93 inference(unit_resolution,[status(thm)],[5360, 217, 5285])).
% 19.70/19.93 tff(5362,plain,
% 19.70/19.93 (((~![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(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)))),
% 19.70/19.93 inference(rewrite,[status(thm)],[])).
% 19.70/19.93 tff(5363,plain,
% 19.70/19.93 (((~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)))),
% 19.70/19.93 inference(rewrite,[status(thm)],[])).
% 19.70/19.93 tff(5364,plain,
% 19.70/19.93 (((~![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(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))))),
% 19.70/19.93 inference(monotonicity,[status(thm)],[5363])).
% 19.70/19.93 tff(5365,plain,
% 19.70/19.93 (((~![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(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)))),
% 19.72/19.93 inference(transitivity,[status(thm)],[5364, 5362])).
% 19.72/19.93 tff(5366,plain,
% 19.72/19.93 ((~![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(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))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5367,plain,
% 19.72/19.93 ((~![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(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))),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 19.72/19.93 tff(5368,plain,
% 19.72/19.93 ((~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)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5367, 965, 5361])).
% 19.72/19.93 tff(5369,plain,
% 19.72/19.93 (m_main_v_state1(s62, c_c1)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5368, 5357, 5270, 5234, 5353, 5342])).
% 19.72/19.93 tff(5370,plain,
% 19.72/19.93 (((~![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)))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5371,plain,
% 19.72/19.93 ((~![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)))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5372,plain,
% 19.72/19.93 ((~![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))),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 19.72/19.93 tff(5373,plain,
% 19.72/19.93 (~m_main_v_state1(s62, c_n1)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5372, 449, 5369])).
% 19.72/19.93 tff(5374,plain,
% 19.72/19.93 (((~![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)))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5375,plain,
% 19.72/19.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5376,plain,
% 19.72/19.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 19.72/19.93 tff(5377,plain,
% 19.72/19.93 (~node11(s62)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5376, 361, 5373])).
% 19.72/19.93 tff(5378,plain,
% 19.72/19.93 (succ(s62, s63) <=> succ(s62, s63)),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5379,axiom,(succ(s62, s63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound63')).
% 19.72/19.93 tff(5380,plain,
% 19.72/19.93 (succ(s62, s63)),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 19.72/19.93 tff(5381,plain,
% 19.72/19.93 (((~![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))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5382,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5383,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 19.72/19.93 tff(5384,plain,
% 19.72/19.93 (trans(s62, s63)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5383, 5380, 57])).
% 19.72/19.93 tff(5385,plain,
% 19.72/19.93 (((~![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))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5386,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5387,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 19.72/19.93 tff(5388,plain,
% 19.72/19.93 (node14(s62, s63)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5387, 130, 5384])).
% 19.72/19.93 tff(5389,plain,
% 19.72/19.93 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5390,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 19.72/19.93 inference(quant_inst,[status(thm)],[])).
% 19.72/19.93 tff(5391,plain,
% 19.72/19.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63))),
% 19.72/19.93 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 19.72/19.93 tff(5392,plain,
% 19.72/19.93 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5391, 401, 5388])).
% 19.72/19.93 tff(5393,plain,
% 19.72/19.93 (node13(s62, s63)),
% 19.72/19.93 inference(unit_resolution,[status(thm)],[5392, 5377, 5334, 5330, 5326, 5322, 5305])).
% 19.72/19.93 tff(5394,plain,
% 19.72/19.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5395,plain,
% 19.72/19.93 (((~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)))),
% 19.72/19.93 inference(rewrite,[status(thm)],[])).
% 19.72/19.93 tff(5396,plain,
% 19.72/19.93 (((~![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))))),
% 19.72/19.93 inference(monotonicity,[status(thm)],[5395])).
% 19.72/19.93 tff(5397,plain,
% 19.72/19.93 (((~![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)))),
% 19.72/19.93 inference(transitivity,[status(thm)],[5396, 5394])).
% 19.72/19.93 tff(5398,plain,
% 19.72/19.93 ((~![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)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5399,plain,
% 19.72/19.94 ((~![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(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 19.72/19.94 tff(5400,plain,
% 19.72/19.94 (~m_main_v_state2(s63, c_n2)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5399, 416, 5318, 5393])).
% 19.72/19.94 tff(5401,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5402,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5403,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 19.72/19.94 tff(5404,plain,
% 19.72/19.94 (~node9(s63)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5403, 311, 5400])).
% 19.72/19.94 tff(5405,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5406,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5407,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 19.72/19.94 tff(5408,plain,
% 19.72/19.94 (~node10(s63)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5407, 372, 5400])).
% 19.72/19.94 tff(5409,plain,
% 19.72/19.94 (((~![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(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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5410,plain,
% 19.72/19.94 (((~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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5411,plain,
% 19.72/19.94 (((~![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))))),
% 19.72/19.94 inference(monotonicity,[status(thm)],[5410])).
% 19.72/19.94 tff(5412,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(transitivity,[status(thm)],[5411, 5409])).
% 19.72/19.94 tff(5413,plain,
% 19.72/19.94 ((~![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))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5414,plain,
% 19.72/19.94 ((~![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(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 19.72/19.94 tff(5415,plain,
% 19.72/19.94 (m_main_v_state2(s63, c_t2)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5414, 563, 5314, 5393])).
% 19.72/19.94 tff(5416,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5417,plain,
% 19.72/19.94 ((~![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)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5418,plain,
% 19.72/19.94 ((~![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))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 19.72/19.94 tff(5419,plain,
% 19.72/19.94 (~m_main_v_state1(s62, c_t1)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5418, 289, 5369])).
% 19.72/19.94 tff(5420,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5421,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5422,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 19.72/19.94 tff(5423,plain,
% 19.72/19.94 (~node5(s62)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5422, 300, 5419])).
% 19.72/19.94 tff(5424,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5425,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5426,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 19.72/19.94 tff(5427,plain,
% 19.72/19.94 (~node4(s62)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5426, 162, 5318])).
% 19.72/19.94 tff(5428,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5429,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5430,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5429, 5428])).
% 19.72/19.94 tff(5431,plain,
% 19.72/19.94 (~node3(s62)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5430, 184, 5334])).
% 19.72/19.94 tff(5432,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5433,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5434,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 19.72/19.94 tff(5435,plain,
% 19.72/19.94 (~node2(s62)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5434, 195, 5318])).
% 19.72/19.94 tff(5436,plain,
% 19.72/19.94 (((~![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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5437,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5438,plain,
% 19.72/19.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 19.72/19.94 tff(5439,plain,
% 19.72/19.94 (~node1(s62)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5438, 249, 5373])).
% 19.72/19.94 tff(5440,plain,
% 19.72/19.94 (((~![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))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5441,plain,
% 19.72/19.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5442,plain,
% 19.72/19.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 19.72/19.94 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 19.72/19.94 tff(5443,plain,
% 19.72/19.94 (node7(s62, s63)),
% 19.72/19.94 inference(unit_resolution,[status(thm)],[5442, 217, 5384])).
% 19.72/19.94 tff(5444,plain,
% 19.72/19.94 (((~![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(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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5445,plain,
% 19.72/19.94 (((~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)))),
% 19.72/19.94 inference(rewrite,[status(thm)],[])).
% 19.72/19.94 tff(5446,plain,
% 19.72/19.94 (((~![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(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))))),
% 19.72/19.94 inference(monotonicity,[status(thm)],[5445])).
% 19.72/19.94 tff(5447,plain,
% 19.72/19.94 (((~![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(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)))),
% 19.72/19.94 inference(transitivity,[status(thm)],[5446, 5444])).
% 19.72/19.94 tff(5448,plain,
% 19.72/19.94 ((~![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(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 19.72/19.94 inference(quant_inst,[status(thm)],[])).
% 19.72/19.94 tff(5449,plain,
% 19.72/19.94 ((~![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(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 19.72/19.95 tff(5450,plain,
% 19.72/19.95 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5449, 478, 5443])).
% 19.72/19.95 tff(5451,plain,
% 19.72/19.95 (m_main_v_state1(s63, c_n1)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5450, 5439, 5369, 5435, 5431, 5427, 5423])).
% 19.72/19.95 tff(5452,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5453,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5454,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 19.72/19.95 tff(5455,plain,
% 19.72/19.95 (~node8(s63)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5454, 383, 5400])).
% 19.72/19.95 tff(5456,plain,
% 19.72/19.95 (succ(s63, s64) <=> succ(s63, s64)),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5457,axiom,(succ(s63, s64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound64')).
% 19.72/19.95 tff(5458,plain,
% 19.72/19.95 (succ(s63, s64)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 19.72/19.95 tff(5459,plain,
% 19.72/19.95 (((~![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))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5460,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5461,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 19.72/19.95 tff(5462,plain,
% 19.72/19.95 (trans(s63, s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5461, 5458, 57])).
% 19.72/19.95 tff(5463,plain,
% 19.72/19.95 (((~![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))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5464,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5465,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 19.72/19.95 tff(5466,plain,
% 19.72/19.95 (node14(s63, s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5465, 130, 5462])).
% 19.72/19.95 tff(5467,plain,
% 19.72/19.95 (((~![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(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))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5468,plain,
% 19.72/19.95 ((~![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(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))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5469,plain,
% 19.72/19.95 ((~![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(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)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 19.72/19.95 tff(5470,plain,
% 19.72/19.95 ((~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)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5469, 704, 5466])).
% 19.72/19.95 tff(5471,plain,
% 19.72/19.95 (m_main_v_state2(s64, c_c2)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5470, 5455, 5451, 5415, 5408, 5404])).
% 19.72/19.95 tff(5472,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5473,plain,
% 19.72/19.95 ((~![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)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5474,plain,
% 19.72/19.95 ((~![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))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 19.72/19.95 tff(5475,plain,
% 19.72/19.95 (~m_main_v_state2(s64, c_t2)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5474, 173, 5471])).
% 19.72/19.95 tff(5476,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5477,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5478,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 19.72/19.95 tff(5479,plain,
% 19.72/19.95 (~node12(s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5478, 778, 5475])).
% 19.72/19.95 tff(5480,plain,
% 19.72/19.95 (((~![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))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5481,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5482,plain,
% 19.72/19.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 19.72/19.95 tff(5483,plain,
% 19.72/19.95 (node7(s63, s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5482, 217, 5462])).
% 19.72/19.95 tff(5484,plain,
% 19.72/19.95 (((~![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(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))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5485,plain,
% 19.72/19.95 ((~![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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5486,plain,
% 19.72/19.95 ((~![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(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1)),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5485, 5484])).
% 19.72/19.95 tff(5487,plain,
% 19.72/19.95 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5486, 598, 5483])).
% 19.72/19.95 tff(5488,plain,
% 19.72/19.95 (m_main_v_state1(s64, c_t1)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5487, 5415, 5451])).
% 19.72/19.95 tff(5489,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5490,plain,
% 19.72/19.95 ((~![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)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5491,plain,
% 19.72/19.95 ((~![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))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 19.72/19.95 tff(5492,plain,
% 19.72/19.95 (~m_main_v_state1(s64, c_n1)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5491, 35, 5488])).
% 19.72/19.95 tff(5493,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5494,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5495,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 19.72/19.95 tff(5496,plain,
% 19.72/19.95 (~node11(s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5495, 361, 5492])).
% 19.72/19.95 tff(5497,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5498,plain,
% 19.72/19.95 ((~![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)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5499,plain,
% 19.72/19.95 ((~![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))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 19.72/19.95 tff(5500,plain,
% 19.72/19.95 (~m_main_v_state1(s64, c_c1)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5499, 289, 5488])).
% 19.72/19.95 tff(5501,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5502,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5503,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 19.72/19.95 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 19.72/19.95 tff(5504,plain,
% 19.72/19.95 (~node10(s64)),
% 19.72/19.95 inference(unit_resolution,[status(thm)],[5503, 793, 5500])).
% 19.72/19.95 tff(5505,plain,
% 19.72/19.95 (((~![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)))),
% 19.72/19.95 inference(rewrite,[status(thm)],[])).
% 19.72/19.95 tff(5506,plain,
% 19.72/19.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 19.72/19.95 inference(quant_inst,[status(thm)],[])).
% 19.72/19.95 tff(5507,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 19.72/19.96 tff(5508,plain,
% 19.72/19.96 (~node9(s64)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5507, 804, 5492])).
% 19.72/19.96 tff(5509,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5510,plain,
% 19.72/19.96 ((~![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)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5511,plain,
% 19.72/19.96 ((~![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))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 19.72/19.96 tff(5512,plain,
% 19.72/19.96 (~m_main_v_state2(s64, c_n2)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5511, 716, 5471])).
% 19.72/19.96 tff(5513,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5514,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5515,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 19.72/19.96 tff(5516,plain,
% 19.72/19.96 (~node8(s64)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5515, 383, 5512])).
% 19.72/19.96 tff(5517,plain,
% 19.72/19.96 (succ(s64, s65) <=> succ(s64, s65)),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5518,axiom,(succ(s64, s65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound65')).
% 19.72/19.96 tff(5519,plain,
% 19.72/19.96 (succ(s64, s65)),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5518, 5517])).
% 19.72/19.96 tff(5520,plain,
% 19.72/19.96 (((~![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))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5521,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5522,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 19.72/19.96 tff(5523,plain,
% 19.72/19.96 (trans(s64, s65)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5522, 5519, 57])).
% 19.72/19.96 tff(5524,plain,
% 19.72/19.96 (((~![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))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5525,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5526,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 19.72/19.96 tff(5527,plain,
% 19.72/19.96 (node14(s64, s65)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5526, 130, 5523])).
% 19.72/19.96 tff(5528,plain,
% 19.72/19.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5529,plain,
% 19.72/19.96 (((~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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5530,plain,
% 19.72/19.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.72/19.96 inference(monotonicity,[status(thm)],[5529])).
% 19.72/19.96 tff(5531,plain,
% 19.72/19.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.72/19.96 inference(transitivity,[status(thm)],[5530, 5528])).
% 19.72/19.96 tff(5532,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5533,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 19.72/19.96 tff(5534,plain,
% 19.72/19.96 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5533, 826, 5527])).
% 19.72/19.96 tff(5535,plain,
% 19.72/19.96 (m_main_v_state2(s65, c_n2)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5534, 5516, 5471, 5508, 5504, 5496, 5479])).
% 19.72/19.96 tff(5536,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5537,plain,
% 19.72/19.96 ((~![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)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5538,plain,
% 19.72/19.96 ((~![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))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5537, 5536])).
% 19.72/19.96 tff(5539,plain,
% 19.72/19.96 (~m_main_v_state2(s65, c_c2)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5538, 716, 5535])).
% 19.72/19.96 tff(5540,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5541,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5542,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 19.72/19.96 tff(5543,plain,
% 19.72/19.96 (~node3(s65)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5542, 184, 5539])).
% 19.72/19.96 tff(5544,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5545,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5546,plain,
% 19.72/19.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5545, 5544])).
% 19.72/19.96 tff(5547,plain,
% 19.72/19.96 (~node1(s64)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5546, 249, 5492])).
% 19.72/19.96 tff(5548,plain,
% 19.72/19.96 (((~![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))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5549,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5550,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 19.72/19.96 tff(5551,plain,
% 19.72/19.96 (node18(s63, s64)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5550, 71, 5462])).
% 19.72/19.96 tff(5552,plain,
% 19.72/19.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5553,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5554,plain,
% 19.72/19.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2)),
% 19.72/19.96 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 19.72/19.96 tff(5555,plain,
% 19.72/19.96 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5554, 625, 5551])).
% 19.72/19.96 tff(5556,plain,
% 19.72/19.96 (m_main_v_turn(s64, c_2)),
% 19.72/19.96 inference(unit_resolution,[status(thm)],[5555, 5415, 5451])).
% 19.72/19.96 tff(5557,plain,
% 19.72/19.96 (((~![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)))),
% 19.72/19.96 inference(rewrite,[status(thm)],[])).
% 19.72/19.96 tff(5558,plain,
% 19.72/19.96 ((~![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)))),
% 19.72/19.96 inference(quant_inst,[status(thm)],[])).
% 19.72/19.96 tff(5559,plain,
% 19.72/19.96 ((~![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))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 19.72/19.97 tff(5560,plain,
% 19.72/19.97 (~m_main_v_turn(s64, c_1)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5559, 322, 5556])).
% 19.72/19.97 tff(5561,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5562,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5563,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 19.72/19.97 tff(5564,plain,
% 19.72/19.97 (~node5(s64)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5563, 641, 5560])).
% 19.72/19.97 tff(5565,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5566,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5567,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 19.72/19.97 tff(5568,plain,
% 19.72/19.97 (~node2(s64)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5567, 652, 5492])).
% 19.72/19.97 tff(5569,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5570,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5571,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 19.72/19.97 tff(5572,plain,
% 19.72/19.97 (~node3(s64)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5571, 663, 5492])).
% 19.72/19.97 tff(5573,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5574,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5575,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 19.72/19.97 tff(5576,plain,
% 19.72/19.97 (~node4(s64)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5575, 162, 5512])).
% 19.72/19.97 tff(5577,plain,
% 19.72/19.97 (((~![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))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5578,plain,
% 19.72/19.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5579,plain,
% 19.72/19.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 19.72/19.97 tff(5580,plain,
% 19.72/19.97 (node7(s64, s65)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5579, 217, 5523])).
% 19.72/19.97 tff(5581,plain,
% 19.72/19.97 (((~![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(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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5582,plain,
% 19.72/19.97 ((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5583,plain,
% 19.72/19.97 ((~![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(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 19.72/19.97 tff(5584,plain,
% 19.72/19.97 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5583, 745, 5580])).
% 19.72/19.97 tff(5585,plain,
% 19.72/19.97 (node6(s64, s65)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5584, 5576, 5500, 5572, 5568, 5564, 5547])).
% 19.72/19.97 tff(5586,plain,
% 19.72/19.97 (((~![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(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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5587,plain,
% 19.72/19.97 (((~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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5588,plain,
% 19.72/19.97 (((~![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))))),
% 19.72/19.97 inference(monotonicity,[status(thm)],[5587])).
% 19.72/19.97 tff(5589,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(transitivity,[status(thm)],[5588, 5586])).
% 19.72/19.97 tff(5590,plain,
% 19.72/19.97 ((~![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)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5591,plain,
% 19.72/19.97 ((~![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(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 19.72/19.97 tff(5592,plain,
% 19.72/19.97 (~m_main_v_state1(s65, c_n1)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5591, 936, 5492, 5585])).
% 19.72/19.97 tff(5593,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5594,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5595,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 19.72/19.97 tff(5596,plain,
% 19.72/19.97 (~node2(s65)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5595, 652, 5592])).
% 19.72/19.97 tff(5597,plain,
% 19.72/19.97 (((~![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(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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5598,plain,
% 19.72/19.97 (((~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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5599,plain,
% 19.72/19.97 (((~![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))))),
% 19.72/19.97 inference(monotonicity,[status(thm)],[5598])).
% 19.72/19.97 tff(5600,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(transitivity,[status(thm)],[5599, 5597])).
% 19.72/19.97 tff(5601,plain,
% 19.72/19.97 ((~![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))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5602,plain,
% 19.72/19.97 ((~![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(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 19.72/19.97 tff(5603,plain,
% 19.72/19.97 (m_main_v_state1(s65, c_t1)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5602, 760, 5488, 5585])).
% 19.72/19.97 tff(5604,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5605,plain,
% 19.72/19.97 ((~![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)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5606,plain,
% 19.72/19.97 ((~![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))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 19.72/19.97 tff(5607,plain,
% 19.72/19.97 (~m_main_v_state2(s65, c_t2)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5606, 10, 5535])).
% 19.72/19.97 tff(5608,plain,
% 19.72/19.97 (((~![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)))),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5609,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 19.72/19.97 inference(quant_inst,[status(thm)],[])).
% 19.72/19.97 tff(5610,plain,
% 19.72/19.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 19.72/19.97 inference(modus_ponens,[status(thm)],[5609, 5608])).
% 19.72/19.97 tff(5611,plain,
% 19.72/19.97 (~node1(s65)),
% 19.72/19.97 inference(unit_resolution,[status(thm)],[5610, 206, 5607])).
% 19.72/19.97 tff(5612,plain,
% 19.72/19.97 (succ(s65, s66) <=> succ(s65, s66)),
% 19.72/19.97 inference(rewrite,[status(thm)],[])).
% 19.72/19.97 tff(5613,axiom,(succ(s65, s66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound66')).
% 19.72/19.98 tff(5614,plain,
% 19.72/19.98 (succ(s65, s66)),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 19.72/19.98 tff(5615,plain,
% 19.72/19.98 (((~![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))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5616,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5617,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 19.72/19.98 tff(5618,plain,
% 19.72/19.98 (trans(s65, s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5617, 5614, 57])).
% 19.72/19.98 tff(5619,plain,
% 19.72/19.98 (((~![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))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5620,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5621,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 19.72/19.98 tff(5622,plain,
% 19.72/19.98 (node7(s65, s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5621, 217, 5618])).
% 19.72/19.98 tff(5623,plain,
% 19.72/19.98 (((~![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(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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5624,plain,
% 19.72/19.98 (((~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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5625,plain,
% 19.72/19.98 (((~![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(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))))),
% 19.72/19.98 inference(monotonicity,[status(thm)],[5624])).
% 19.72/19.98 tff(5626,plain,
% 19.72/19.98 (((~![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(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)))),
% 19.72/19.98 inference(transitivity,[status(thm)],[5625, 5623])).
% 19.72/19.98 tff(5627,plain,
% 19.72/19.98 ((~![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(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))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5628,plain,
% 19.72/19.98 ((~![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(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))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 19.72/19.98 tff(5629,plain,
% 19.72/19.98 ((~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)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5628, 965, 5622])).
% 19.72/19.98 tff(5630,plain,
% 19.72/19.98 (m_main_v_state1(s66, c_c1)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5629, 5611, 5535, 5603, 5596, 5543])).
% 19.72/19.98 tff(5631,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5632,plain,
% 19.72/19.98 ((~![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)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5633,plain,
% 19.72/19.98 ((~![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))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5632, 5631])).
% 19.72/19.98 tff(5634,plain,
% 19.72/19.98 (~m_main_v_state1(s66, c_t1)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5633, 289, 5630])).
% 19.72/19.98 tff(5635,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5636,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5637,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 19.72/19.98 tff(5638,plain,
% 19.72/19.98 (~node5(s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5637, 300, 5634])).
% 19.72/19.98 tff(5639,plain,
% 19.72/19.98 (((~![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))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5640,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5641,plain,
% 19.72/19.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 19.72/19.98 tff(5642,plain,
% 19.72/19.98 (node14(s65, s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5641, 130, 5618])).
% 19.72/19.98 tff(5643,plain,
% 19.72/19.98 (((~![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(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))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5644,plain,
% 19.72/19.98 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5645,plain,
% 19.72/19.98 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2)),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 19.72/19.98 tff(5646,plain,
% 19.72/19.98 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5645, 893, 5642])).
% 19.72/19.98 tff(5647,plain,
% 19.72/19.98 (m_main_v_state2(s66, c_t2)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5646, 5603, 5535])).
% 19.72/19.98 tff(5648,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5649,plain,
% 19.72/19.98 ((~![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)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5650,plain,
% 19.72/19.98 ((~![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))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 19.72/19.98 tff(5651,plain,
% 19.72/19.98 (~m_main_v_state2(s66, c_n2)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5650, 10, 5647])).
% 19.72/19.98 tff(5652,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5653,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5654,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5653, 5652])).
% 19.72/19.98 tff(5655,plain,
% 19.72/19.98 (~node4(s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5654, 162, 5651])).
% 19.72/19.98 tff(5656,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5657,plain,
% 19.72/19.98 ((~![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)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5658,plain,
% 19.72/19.98 ((~![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))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5657, 5656])).
% 19.72/19.98 tff(5659,plain,
% 19.72/19.98 (~m_main_v_state2(s66, c_c2)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5658, 173, 5647])).
% 19.72/19.98 tff(5660,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.98 inference(rewrite,[status(thm)],[])).
% 19.72/19.98 tff(5661,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 19.72/19.98 inference(quant_inst,[status(thm)],[])).
% 19.72/19.98 tff(5662,plain,
% 19.72/19.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 19.72/19.98 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 19.72/19.98 tff(5663,plain,
% 19.72/19.98 (~node3(s66)),
% 19.72/19.98 inference(unit_resolution,[status(thm)],[5662, 184, 5659])).
% 19.72/19.98 tff(5664,plain,
% 19.72/19.98 (((~![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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5665,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5666,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 19.72/19.99 tff(5667,plain,
% 19.72/19.99 (~node2(s66)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5666, 195, 5651])).
% 19.72/19.99 tff(5668,plain,
% 19.72/19.99 (((~![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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5669,plain,
% 19.72/19.99 ((~![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)))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5670,plain,
% 19.72/19.99 ((~![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))),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 19.72/19.99 tff(5671,plain,
% 19.72/19.99 (~m_main_v_state1(s66, c_n1)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5670, 449, 5630])).
% 19.72/19.99 tff(5672,plain,
% 19.72/19.99 (((~![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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5673,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5674,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 19.72/19.99 tff(5675,plain,
% 19.72/19.99 (~node1(s66)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5674, 249, 5671])).
% 19.72/19.99 tff(5676,plain,
% 19.72/19.99 (succ(s66, s67) <=> succ(s66, s67)),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5677,axiom,(succ(s66, s67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound67')).
% 19.72/19.99 tff(5678,plain,
% 19.72/19.99 (succ(s66, s67)),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 19.72/19.99 tff(5679,plain,
% 19.72/19.99 (((~![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))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5680,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5681,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 19.72/19.99 tff(5682,plain,
% 19.72/19.99 (trans(s66, s67)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5681, 5678, 57])).
% 19.72/19.99 tff(5683,plain,
% 19.72/19.99 (((~![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))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5684,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5685,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 19.72/19.99 tff(5686,plain,
% 19.72/19.99 (node7(s66, s67)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5685, 217, 5682])).
% 19.72/19.99 tff(5687,plain,
% 19.72/19.99 (((~![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(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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5688,plain,
% 19.72/19.99 (((~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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5689,plain,
% 19.72/19.99 (((~![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(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))))),
% 19.72/19.99 inference(monotonicity,[status(thm)],[5688])).
% 19.72/19.99 tff(5690,plain,
% 19.72/19.99 (((~![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(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)))),
% 19.72/19.99 inference(transitivity,[status(thm)],[5689, 5687])).
% 19.72/19.99 tff(5691,plain,
% 19.72/19.99 ((~![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(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5692,plain,
% 19.72/19.99 ((~![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(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 19.72/19.99 tff(5693,plain,
% 19.72/19.99 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5692, 478, 5686])).
% 19.72/19.99 tff(5694,plain,
% 19.72/19.99 (m_main_v_state1(s67, c_n1)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5693, 5675, 5630, 5667, 5663, 5655, 5638])).
% 19.72/19.99 tff(5695,plain,
% 19.72/19.99 (((~![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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5696,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5697,plain,
% 19.72/19.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 19.72/19.99 tff(5698,plain,
% 19.72/19.99 (~node15(s65)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5697, 21, 5607])).
% 19.72/19.99 tff(5699,plain,
% 19.72/19.99 (((~![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))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5700,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5701,plain,
% 19.72/19.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 19.72/19.99 tff(5702,plain,
% 19.72/19.99 (node18(s65, s66)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5701, 71, 5618])).
% 19.72/19.99 tff(5703,plain,
% 19.72/19.99 (((~![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(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))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5704,plain,
% 19.72/19.99 (((~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))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5705,plain,
% 19.72/19.99 (((~![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(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)))),
% 19.72/19.99 inference(monotonicity,[status(thm)],[5704])).
% 19.72/19.99 tff(5706,plain,
% 19.72/19.99 (((~![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(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))),
% 19.72/19.99 inference(transitivity,[status(thm)],[5705, 5703])).
% 19.72/19.99 tff(5707,plain,
% 19.72/19.99 ((~![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(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))),
% 19.72/19.99 inference(quant_inst,[status(thm)],[])).
% 19.72/19.99 tff(5708,plain,
% 19.72/19.99 ((~![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(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)),
% 19.72/19.99 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 19.72/19.99 tff(5709,plain,
% 19.72/19.99 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5708, 863, 5702])).
% 19.72/19.99 tff(5710,plain,
% 19.72/19.99 (m_main_v_turn(s66, c_1)),
% 19.72/19.99 inference(unit_resolution,[status(thm)],[5709, 5698, 5535, 5603])).
% 19.72/19.99 tff(5711,plain,
% 19.72/19.99 (((~![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)))),
% 19.72/19.99 inference(rewrite,[status(thm)],[])).
% 19.72/19.99 tff(5712,plain,
% 19.72/19.99 ((~![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)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5713,plain,
% 19.72/20.00 ((~![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))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 19.72/20.00 tff(5714,plain,
% 19.72/20.00 (~m_main_v_turn(s66, c_2)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5713, 322, 5710])).
% 19.72/20.00 tff(5715,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5716,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5717,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 19.72/20.00 tff(5718,plain,
% 19.72/20.00 (~node12(s66)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5717, 350, 5714])).
% 19.72/20.00 tff(5719,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5720,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5721,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 19.72/20.00 tff(5722,plain,
% 19.72/20.00 (~node8(s66)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5721, 383, 5651])).
% 19.72/20.00 tff(5723,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5724,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5725,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 19.72/20.00 tff(5726,plain,
% 19.72/20.00 (~node9(s66)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5725, 311, 5651])).
% 19.72/20.00 tff(5727,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5728,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5729,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 19.72/20.00 tff(5730,plain,
% 19.72/20.00 (~node10(s66)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5729, 372, 5651])).
% 19.72/20.00 tff(5731,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5732,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5733,plain,
% 19.72/20.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 19.72/20.00 tff(5734,plain,
% 19.72/20.00 (~node11(s66)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5733, 361, 5671])).
% 19.72/20.00 tff(5735,plain,
% 19.72/20.00 (((~![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))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5736,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5737,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 19.72/20.00 tff(5738,plain,
% 19.72/20.00 (node14(s66, s67)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5737, 130, 5682])).
% 19.72/20.00 tff(5739,plain,
% 19.72/20.00 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5740,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5741,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 19.72/20.00 tff(5742,plain,
% 19.72/20.00 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5741, 401, 5738])).
% 19.72/20.00 tff(5743,plain,
% 19.72/20.00 (node13(s66, s67)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5742, 5734, 5659, 5730, 5726, 5722, 5718])).
% 19.72/20.00 tff(5744,plain,
% 19.72/20.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5745,plain,
% 19.72/20.00 (((~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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5746,plain,
% 19.72/20.00 (((~![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))))),
% 19.72/20.00 inference(monotonicity,[status(thm)],[5745])).
% 19.72/20.00 tff(5747,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(transitivity,[status(thm)],[5746, 5744])).
% 19.72/20.00 tff(5748,plain,
% 19.72/20.00 ((~![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))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5749,plain,
% 19.72/20.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 19.72/20.00 tff(5750,plain,
% 19.72/20.00 (m_main_v_state2(s67, c_t2)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5749, 563, 5647, 5743])).
% 19.72/20.00 tff(5751,plain,
% 19.72/20.00 (succ(s67, s68) <=> succ(s67, s68)),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5752,axiom,(succ(s67, s68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound68')).
% 19.72/20.00 tff(5753,plain,
% 19.72/20.00 (succ(s67, s68)),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 19.72/20.00 tff(5754,plain,
% 19.72/20.00 (((~![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))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5755,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5756,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 19.72/20.00 tff(5757,plain,
% 19.72/20.00 (trans(s67, s68)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5756, 5753, 57])).
% 19.72/20.00 tff(5758,plain,
% 19.72/20.00 (((~![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))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5759,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5760,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 19.72/20.00 tff(5761,plain,
% 19.72/20.00 (node7(s67, s68)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5760, 217, 5757])).
% 19.72/20.00 tff(5762,plain,
% 19.72/20.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5763,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 19.72/20.00 inference(quant_inst,[status(thm)],[])).
% 19.72/20.00 tff(5764,plain,
% 19.72/20.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1)),
% 19.72/20.00 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 19.72/20.00 tff(5765,plain,
% 19.72/20.00 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5764, 598, 5761])).
% 19.72/20.00 tff(5766,plain,
% 19.72/20.00 (m_main_v_state1(s68, c_t1)),
% 19.72/20.00 inference(unit_resolution,[status(thm)],[5765, 5750, 5694])).
% 19.72/20.00 tff(5767,plain,
% 19.72/20.00 (((~![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)))),
% 19.72/20.00 inference(rewrite,[status(thm)],[])).
% 19.72/20.00 tff(5768,plain,
% 19.72/20.00 ((~![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)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5769,plain,
% 19.72/20.01 ((~![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))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 19.72/20.01 tff(5770,plain,
% 19.72/20.01 (~m_main_v_state1(s68, c_n1)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5769, 35, 5766])).
% 19.72/20.01 tff(5771,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5772,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5773,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 19.72/20.01 tff(5774,plain,
% 19.72/20.01 (~node1(s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5773, 249, 5770])).
% 19.72/20.01 tff(5775,plain,
% 19.72/20.01 (((~![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))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5776,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5777,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5776, 5775])).
% 19.72/20.01 tff(5778,plain,
% 19.72/20.01 (node18(s67, s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5777, 71, 5757])).
% 19.72/20.01 tff(5779,plain,
% 19.72/20.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5780,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5781,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2)),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 19.72/20.01 tff(5782,plain,
% 19.72/20.01 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5781, 625, 5778])).
% 19.72/20.01 tff(5783,plain,
% 19.72/20.01 (m_main_v_turn(s68, c_2)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5782, 5750, 5694])).
% 19.72/20.01 tff(5784,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5785,plain,
% 19.72/20.01 ((~![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)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5786,plain,
% 19.72/20.01 ((~![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))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 19.72/20.01 tff(5787,plain,
% 19.72/20.01 (~m_main_v_turn(s68, c_1)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5786, 322, 5783])).
% 19.72/20.01 tff(5788,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5789,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5790,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 19.72/20.01 tff(5791,plain,
% 19.72/20.01 (~node5(s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5790, 641, 5787])).
% 19.72/20.01 tff(5792,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5793,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5794,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 19.72/20.01 tff(5795,plain,
% 19.72/20.01 (~node2(s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5794, 652, 5770])).
% 19.72/20.01 tff(5796,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5797,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5798,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5797, 5796])).
% 19.72/20.01 tff(5799,plain,
% 19.72/20.01 (~node3(s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5798, 663, 5770])).
% 19.72/20.01 tff(5800,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5801,plain,
% 19.72/20.01 ((~![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)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5802,plain,
% 19.72/20.01 ((~![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))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 19.72/20.01 tff(5803,plain,
% 19.72/20.01 (~m_main_v_state1(s68, c_c1)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5802, 289, 5766])).
% 19.72/20.01 tff(5804,plain,
% 19.72/20.01 (((~![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(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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5805,plain,
% 19.72/20.01 (((~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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5806,plain,
% 19.72/20.01 (((~![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))))),
% 19.72/20.01 inference(monotonicity,[status(thm)],[5805])).
% 19.72/20.01 tff(5807,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(transitivity,[status(thm)],[5806, 5804])).
% 19.72/20.01 tff(5808,plain,
% 19.72/20.01 ((~![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)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5809,plain,
% 19.72/20.01 ((~![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(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 19.72/20.01 tff(5810,plain,
% 19.72/20.01 (~m_main_v_state2(s67, c_n2)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5809, 416, 5651, 5743])).
% 19.72/20.01 tff(5811,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5812,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5813,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 19.72/20.01 tff(5814,plain,
% 19.72/20.01 (~node9(s67)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5813, 311, 5810])).
% 19.72/20.01 tff(5815,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5816,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5817,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 19.72/20.01 tff(5818,plain,
% 19.72/20.01 (~node10(s67)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5817, 372, 5810])).
% 19.72/20.01 tff(5819,plain,
% 19.72/20.01 (((~![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)))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5820,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5821,plain,
% 19.72/20.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 19.72/20.01 tff(5822,plain,
% 19.72/20.01 (~node8(s67)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5821, 383, 5810])).
% 19.72/20.01 tff(5823,plain,
% 19.72/20.01 (((~![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))),
% 19.72/20.01 inference(rewrite,[status(thm)],[])).
% 19.72/20.01 tff(5824,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 19.72/20.01 inference(quant_inst,[status(thm)],[])).
% 19.72/20.01 tff(5825,plain,
% 19.72/20.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 19.72/20.01 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 19.72/20.01 tff(5826,plain,
% 19.72/20.01 (node14(s67, s68)),
% 19.72/20.01 inference(unit_resolution,[status(thm)],[5825, 130, 5757])).
% 19.72/20.01 tff(5827,plain,
% 19.72/20.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 19.72/20.02 inference(rewrite,[status(thm)],[])).
% 19.72/20.02 tff(5828,plain,
% 19.72/20.02 ((~![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(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))),
% 19.72/20.02 inference(quant_inst,[status(thm)],[])).
% 19.72/20.02 tff(5829,plain,
% 19.72/20.02 ((~![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(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)),
% 19.72/20.02 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 19.72/20.02 tff(5830,plain,
% 19.72/20.02 ((~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)),
% 19.72/20.02 inference(unit_resolution,[status(thm)],[5829, 704, 5826])).
% 19.72/20.02 tff(5831,plain,
% 19.72/20.02 (m_main_v_state2(s68, c_c2)),
% 19.72/20.02 inference(unit_resolution,[status(thm)],[5830, 5822, 5694, 5750, 5818, 5814])).
% 19.72/20.02 tff(5832,plain,
% 19.72/20.02 (((~![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)))),
% 19.72/20.02 inference(rewrite,[status(thm)],[])).
% 19.72/20.02 tff(5833,plain,
% 19.72/20.02 ((~![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)))),
% 19.72/20.02 inference(quant_inst,[status(thm)],[])).
% 19.72/20.02 tff(5834,plain,
% 19.72/20.02 ((~![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))),
% 19.72/20.02 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 19.72/20.02 tff(5835,plain,
% 19.72/20.02 (~m_main_v_state2(s68, c_n2)),
% 19.72/20.02 inference(unit_resolution,[status(thm)],[5834, 716, 5831])).
% 19.72/20.02 tff(5836,plain,
% 19.72/20.02 (((~![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)))),
% 19.72/20.02 inference(rewrite,[status(thm)],[])).
% 19.72/20.02 tff(5837,plain,
% 19.72/20.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 19.72/20.02 inference(quant_inst,[status(thm)],[])).
% 19.72/20.02 tff(5838,plain,
% 19.72/20.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 19.72/20.02 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 19.72/20.02 tff(5839,plain,
% 19.72/20.02 (~node4(s68)),
% 19.72/20.02 inference(unit_resolution,[status(thm)],[5838, 162, 5835])).
% 19.72/20.02 tff(5840,plain,
% 19.72/20.02 (succ(s68, s69) <=> succ(s68, s69)),
% 19.72/20.02 inference(rewrite,[status(thm)],[])).
% 19.72/20.02 tff(5841,axiom,(succ(s68, s69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound69')).
% 19.72/20.02 tff(5842,plain,
% 19.72/20.02 (succ(s68, s69)),
% 19.72/20.02 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 19.72/20.02 tff(5843,plain,
% 19.72/20.02 (((~![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))),
% 19.72/20.02 inference(rewrite,[status(thm)],[])).
% 19.72/20.02 tff(5844,plain,
% 19.72/20.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 19.72/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5845,plain,
% 19.80/20.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 19.80/20.02 tff(5846,plain,
% 19.80/20.02 (trans(s68, s69)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5845, 5842, 57])).
% 19.80/20.02 tff(5847,plain,
% 19.80/20.02 (((~![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))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5848,plain,
% 19.80/20.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5849,plain,
% 19.80/20.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 19.80/20.02 tff(5850,plain,
% 19.80/20.02 (node7(s68, s69)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5849, 217, 5846])).
% 19.80/20.02 tff(5851,plain,
% 19.80/20.02 (((~![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(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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5852,plain,
% 19.80/20.02 ((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5853,plain,
% 19.80/20.02 ((~![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(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 19.80/20.02 tff(5854,plain,
% 19.80/20.02 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5853, 745, 5850])).
% 19.80/20.02 tff(5855,plain,
% 19.80/20.02 (node6(s68, s69)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5854, 5839, 5803, 5799, 5795, 5791, 5774])).
% 19.80/20.02 tff(5856,plain,
% 19.80/20.02 (((~![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(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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5857,plain,
% 19.80/20.02 (((~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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5858,plain,
% 19.80/20.02 (((~![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))))),
% 19.80/20.02 inference(monotonicity,[status(thm)],[5857])).
% 19.80/20.02 tff(5859,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(transitivity,[status(thm)],[5858, 5856])).
% 19.80/20.02 tff(5860,plain,
% 19.80/20.02 ((~![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))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5861,plain,
% 19.80/20.02 ((~![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(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5860, 5859])).
% 19.80/20.02 tff(5862,plain,
% 19.80/20.02 (m_main_v_state1(s69, c_t1)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5861, 760, 5766, 5855])).
% 19.80/20.02 tff(5863,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5864,plain,
% 19.80/20.02 ((~![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)))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5865,plain,
% 19.80/20.02 ((~![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))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5864, 5863])).
% 19.80/20.02 tff(5866,plain,
% 19.80/20.02 (~m_main_v_state2(s68, c_t2)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5865, 173, 5831])).
% 19.80/20.02 tff(5867,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5868,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5869,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 19.80/20.02 tff(5870,plain,
% 19.80/20.02 (~node12(s68)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5869, 778, 5866])).
% 19.80/20.02 tff(5871,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5872,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5873,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 19.80/20.02 tff(5874,plain,
% 19.80/20.02 (~node11(s68)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5873, 361, 5770])).
% 19.80/20.02 tff(5875,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5876,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 19.80/20.02 inference(quant_inst,[status(thm)],[])).
% 19.80/20.02 tff(5877,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 19.80/20.02 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 19.80/20.02 tff(5878,plain,
% 19.80/20.02 (~node10(s68)),
% 19.80/20.02 inference(unit_resolution,[status(thm)],[5877, 793, 5803])).
% 19.80/20.02 tff(5879,plain,
% 19.80/20.02 (((~![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)))),
% 19.80/20.02 inference(rewrite,[status(thm)],[])).
% 19.80/20.02 tff(5880,plain,
% 19.80/20.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5881,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 19.80/20.03 tff(5882,plain,
% 19.80/20.03 (~node9(s68)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5881, 804, 5770])).
% 19.80/20.03 tff(5883,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5884,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5885,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 19.80/20.03 tff(5886,plain,
% 19.80/20.03 (~node8(s68)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5885, 383, 5835])).
% 19.80/20.03 tff(5887,plain,
% 19.80/20.03 (((~![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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5888,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5889,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 19.80/20.03 tff(5890,plain,
% 19.80/20.03 (node14(s68, s69)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5889, 130, 5846])).
% 19.80/20.03 tff(5891,plain,
% 19.80/20.03 (((~![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(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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5892,plain,
% 19.80/20.03 (((~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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5893,plain,
% 19.80/20.03 (((~![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(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))))),
% 19.80/20.03 inference(monotonicity,[status(thm)],[5892])).
% 19.80/20.03 tff(5894,plain,
% 19.80/20.03 (((~![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(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)))),
% 19.80/20.03 inference(transitivity,[status(thm)],[5893, 5891])).
% 19.80/20.03 tff(5895,plain,
% 19.80/20.03 ((~![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(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5896,plain,
% 19.80/20.03 ((~![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(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 19.80/20.03 tff(5897,plain,
% 19.80/20.03 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5896, 826, 5890])).
% 19.80/20.03 tff(5898,plain,
% 19.80/20.03 (m_main_v_state2(s69, c_n2)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5897, 5886, 5831, 5882, 5878, 5874, 5870])).
% 19.80/20.03 tff(5899,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5900,plain,
% 19.80/20.03 ((~![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)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5901,plain,
% 19.80/20.03 ((~![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))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 19.80/20.03 tff(5902,plain,
% 19.80/20.03 (~m_main_v_state2(s69, c_t2)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5901, 10, 5898])).
% 19.80/20.03 tff(5903,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5904,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5905,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 19.80/20.03 tff(5906,plain,
% 19.80/20.03 (~node15(s69)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5905, 21, 5902])).
% 19.80/20.03 tff(5907,plain,
% 19.80/20.03 (succ(s69, s70) <=> succ(s69, s70)),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5908,axiom,(succ(s69, s70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound70')).
% 19.80/20.03 tff(5909,plain,
% 19.80/20.03 (succ(s69, s70)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 19.80/20.03 tff(5910,plain,
% 19.80/20.03 (((~![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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5911,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5912,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 19.80/20.03 tff(5913,plain,
% 19.80/20.03 (trans(s69, s70)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5912, 5909, 57])).
% 19.80/20.03 tff(5914,plain,
% 19.80/20.03 (((~![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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5915,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5916,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 19.80/20.03 tff(5917,plain,
% 19.80/20.03 (node18(s69, s70)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5916, 71, 5913])).
% 19.80/20.03 tff(5918,plain,
% 19.80/20.03 (((~![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(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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5919,plain,
% 19.80/20.03 (((~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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5920,plain,
% 19.80/20.03 (((~![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(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)))),
% 19.80/20.03 inference(monotonicity,[status(thm)],[5919])).
% 19.80/20.03 tff(5921,plain,
% 19.80/20.03 (((~![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(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))),
% 19.80/20.03 inference(transitivity,[status(thm)],[5920, 5918])).
% 19.80/20.03 tff(5922,plain,
% 19.80/20.03 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5923,plain,
% 19.80/20.03 ((~![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(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)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 19.80/20.03 tff(5924,plain,
% 19.80/20.03 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5923, 863, 5917])).
% 19.80/20.03 tff(5925,plain,
% 19.80/20.03 (m_main_v_turn(s70, c_1)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5924, 5906, 5898, 5862])).
% 19.80/20.03 tff(5926,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5927,plain,
% 19.80/20.03 ((~![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)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5928,plain,
% 19.80/20.03 ((~![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))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 19.80/20.03 tff(5929,plain,
% 19.80/20.03 (~m_main_v_turn(s70, c_2)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5928, 322, 5925])).
% 19.80/20.03 tff(5930,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5931,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5932,plain,
% 19.80/20.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 19.80/20.03 tff(5933,plain,
% 19.80/20.03 (~node12(s70)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5932, 350, 5929])).
% 19.80/20.03 tff(5934,plain,
% 19.80/20.03 (((~![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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5935,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5936,plain,
% 19.80/20.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 19.80/20.03 tff(5937,plain,
% 19.80/20.03 (node14(s69, s70)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5936, 130, 5913])).
% 19.80/20.03 tff(5938,plain,
% 19.80/20.03 (((~![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(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))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5939,plain,
% 19.80/20.03 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5940,plain,
% 19.80/20.03 ((~![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(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2)),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 19.80/20.03 tff(5941,plain,
% 19.80/20.03 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5940, 893, 5937])).
% 19.80/20.03 tff(5942,plain,
% 19.80/20.03 (m_main_v_state2(s70, c_t2)),
% 19.80/20.03 inference(unit_resolution,[status(thm)],[5941, 5862, 5898])).
% 19.80/20.03 tff(5943,plain,
% 19.80/20.03 (((~![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)))),
% 19.80/20.03 inference(rewrite,[status(thm)],[])).
% 19.80/20.03 tff(5944,plain,
% 19.80/20.03 ((~![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)))),
% 19.80/20.03 inference(quant_inst,[status(thm)],[])).
% 19.80/20.03 tff(5945,plain,
% 19.80/20.03 ((~![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))),
% 19.80/20.03 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 19.80/20.03 tff(5946,plain,
% 19.80/20.04 (~m_main_v_state2(s70, c_n2)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5945, 10, 5942])).
% 19.80/20.04 tff(5947,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5948,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5949,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 19.80/20.04 tff(5950,plain,
% 19.80/20.04 (~node8(s70)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5949, 383, 5946])).
% 19.80/20.04 tff(5951,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5952,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5953,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 19.80/20.04 tff(5954,plain,
% 19.80/20.04 (~node9(s70)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5953, 311, 5946])).
% 19.80/20.04 tff(5955,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5956,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5957,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5956, 5955])).
% 19.80/20.04 tff(5958,plain,
% 19.80/20.04 (~node10(s70)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5957, 372, 5946])).
% 19.80/20.04 tff(5959,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5960,plain,
% 19.80/20.04 ((~![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)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5961,plain,
% 19.80/20.04 ((~![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))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 19.80/20.04 tff(5962,plain,
% 19.80/20.04 (~m_main_v_state2(s70, c_c2)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5961, 173, 5942])).
% 19.80/20.04 tff(5963,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5964,plain,
% 19.80/20.04 ((~![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)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5965,plain,
% 19.80/20.04 ((~![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))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 19.80/20.04 tff(5966,plain,
% 19.80/20.04 (~m_main_v_state2(s69, c_c2)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5965, 716, 5898])).
% 19.80/20.04 tff(5967,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5968,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5969,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 19.80/20.04 tff(5970,plain,
% 19.80/20.04 (~node3(s69)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5969, 184, 5966])).
% 19.80/20.04 tff(5971,plain,
% 19.80/20.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5972,plain,
% 19.80/20.04 (((~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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5973,plain,
% 19.80/20.04 (((~![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))))),
% 19.80/20.04 inference(monotonicity,[status(thm)],[5972])).
% 19.80/20.04 tff(5974,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(transitivity,[status(thm)],[5973, 5971])).
% 19.80/20.04 tff(5975,plain,
% 19.80/20.04 ((~![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)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5976,plain,
% 19.80/20.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 19.80/20.04 tff(5977,plain,
% 19.80/20.04 (~m_main_v_state1(s69, c_n1)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5976, 936, 5770, 5855])).
% 19.80/20.04 tff(5978,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5979,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5980,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 19.80/20.04 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 19.80/20.04 tff(5981,plain,
% 19.80/20.04 (~node2(s69)),
% 19.80/20.04 inference(unit_resolution,[status(thm)],[5980, 652, 5977])).
% 19.80/20.04 tff(5982,plain,
% 19.80/20.04 (((~![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)))),
% 19.80/20.04 inference(rewrite,[status(thm)],[])).
% 19.80/20.04 tff(5983,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 19.80/20.04 inference(quant_inst,[status(thm)],[])).
% 19.80/20.04 tff(5984,plain,
% 19.80/20.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 19.80/20.05 tff(5985,plain,
% 19.80/20.05 (~node1(s69)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[5984, 206, 5902])).
% 19.80/20.05 tff(5986,plain,
% 19.80/20.05 (((~![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))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(5987,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(5988,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 19.80/20.05 tff(5989,plain,
% 19.80/20.05 (node7(s69, s70)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[5988, 217, 5913])).
% 19.80/20.05 tff(5990,plain,
% 19.80/20.05 (((~![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(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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(5991,plain,
% 19.80/20.05 (((~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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(5992,plain,
% 19.80/20.05 (((~![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(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))))),
% 19.80/20.05 inference(monotonicity,[status(thm)],[5991])).
% 19.80/20.05 tff(5993,plain,
% 19.80/20.05 (((~![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(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)))),
% 19.80/20.05 inference(transitivity,[status(thm)],[5992, 5990])).
% 19.80/20.05 tff(5994,plain,
% 19.80/20.05 ((~![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(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))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(5995,plain,
% 19.80/20.05 ((~![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(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))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 19.80/20.05 tff(5996,plain,
% 19.80/20.05 ((~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)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[5995, 965, 5989])).
% 19.80/20.05 tff(5997,plain,
% 19.80/20.05 (m_main_v_state1(s70, c_c1)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[5996, 5985, 5898, 5862, 5981, 5970])).
% 19.80/20.05 tff(5998,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(5999,plain,
% 19.80/20.05 ((~![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)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6000,plain,
% 19.80/20.05 ((~![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))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 19.80/20.05 tff(6001,plain,
% 19.80/20.05 (~m_main_v_state1(s70, c_n1)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6000, 449, 5997])).
% 19.80/20.05 tff(6002,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6003,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6004,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 19.80/20.05 tff(6005,plain,
% 19.80/20.05 (~node11(s70)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6004, 361, 6001])).
% 19.80/20.05 tff(6006,plain,
% 19.80/20.05 (succ(s70, s71) <=> succ(s70, s71)),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6007,axiom,(succ(s70, s71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound71')).
% 19.80/20.05 tff(6008,plain,
% 19.80/20.05 (succ(s70, s71)),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 19.80/20.05 tff(6009,plain,
% 19.80/20.05 (((~![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))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6010,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6011,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 19.80/20.05 tff(6012,plain,
% 19.80/20.05 (trans(s70, s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6011, 6008, 57])).
% 19.80/20.05 tff(6013,plain,
% 19.80/20.05 (((~![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))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6014,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6015,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 19.80/20.05 tff(6016,plain,
% 19.80/20.05 (node14(s70, s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6015, 130, 6012])).
% 19.80/20.05 tff(6017,plain,
% 19.80/20.05 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6018,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6019,plain,
% 19.80/20.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 19.80/20.05 tff(6020,plain,
% 19.80/20.05 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6019, 401, 6016])).
% 19.80/20.05 tff(6021,plain,
% 19.80/20.05 (node13(s70, s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6020, 6005, 5962, 5958, 5954, 5950, 5933])).
% 19.80/20.05 tff(6022,plain,
% 19.80/20.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6023,plain,
% 19.80/20.05 (((~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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6024,plain,
% 19.80/20.05 (((~![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))))),
% 19.80/20.05 inference(monotonicity,[status(thm)],[6023])).
% 19.80/20.05 tff(6025,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(transitivity,[status(thm)],[6024, 6022])).
% 19.80/20.05 tff(6026,plain,
% 19.80/20.05 ((~![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)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6027,plain,
% 19.80/20.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 19.80/20.05 tff(6028,plain,
% 19.80/20.05 (~m_main_v_state2(s71, c_n2)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6027, 416, 5946, 6021])).
% 19.80/20.05 tff(6029,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6030,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6031,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 19.80/20.05 tff(6032,plain,
% 19.80/20.05 (~node9(s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6031, 311, 6028])).
% 19.80/20.05 tff(6033,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6034,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6035,plain,
% 19.80/20.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 19.80/20.05 tff(6036,plain,
% 19.80/20.05 (~node10(s71)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6035, 372, 6028])).
% 19.80/20.05 tff(6037,plain,
% 19.80/20.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6038,plain,
% 19.80/20.05 (((~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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6039,plain,
% 19.80/20.05 (((~![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))))),
% 19.80/20.05 inference(monotonicity,[status(thm)],[6038])).
% 19.80/20.05 tff(6040,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(transitivity,[status(thm)],[6039, 6037])).
% 19.80/20.05 tff(6041,plain,
% 19.80/20.05 ((~![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))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6042,plain,
% 19.80/20.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6041, 6040])).
% 19.80/20.05 tff(6043,plain,
% 19.80/20.05 (m_main_v_state2(s71, c_t2)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6042, 563, 5942, 6021])).
% 19.80/20.05 tff(6044,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.05 inference(rewrite,[status(thm)],[])).
% 19.80/20.05 tff(6045,plain,
% 19.80/20.05 ((~![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)))),
% 19.80/20.05 inference(quant_inst,[status(thm)],[])).
% 19.80/20.05 tff(6046,plain,
% 19.80/20.05 ((~![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))),
% 19.80/20.05 inference(modus_ponens,[status(thm)],[6045, 6044])).
% 19.80/20.05 tff(6047,plain,
% 19.80/20.05 (~m_main_v_state1(s70, c_t1)),
% 19.80/20.05 inference(unit_resolution,[status(thm)],[6046, 289, 5997])).
% 19.80/20.05 tff(6048,plain,
% 19.80/20.05 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6049,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6050,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 19.80/20.06 tff(6051,plain,
% 19.80/20.06 (~node5(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6050, 300, 6047])).
% 19.80/20.06 tff(6052,plain,
% 19.80/20.06 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6053,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6054,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 19.80/20.06 tff(6055,plain,
% 19.80/20.06 (~node4(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6054, 162, 5946])).
% 19.80/20.06 tff(6056,plain,
% 19.80/20.06 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6057,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6058,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 19.80/20.06 tff(6059,plain,
% 19.80/20.06 (~node3(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6058, 184, 5962])).
% 19.80/20.06 tff(6060,plain,
% 19.80/20.06 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6061,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6062,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 19.80/20.06 tff(6063,plain,
% 19.80/20.06 (~node2(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6062, 195, 5946])).
% 19.80/20.06 tff(6064,plain,
% 19.80/20.06 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6065,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6066,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 19.80/20.06 tff(6067,plain,
% 19.80/20.06 (~node1(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6066, 249, 6001])).
% 19.80/20.06 tff(6068,plain,
% 19.80/20.06 (((~![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))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6069,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6070,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 19.80/20.06 tff(6071,plain,
% 19.80/20.06 (node7(s70, s71)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6070, 217, 6012])).
% 19.80/20.06 tff(6072,plain,
% 19.80/20.06 (((~![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(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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6073,plain,
% 19.80/20.06 (((~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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6074,plain,
% 19.80/20.06 (((~![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(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))))),
% 19.80/20.06 inference(monotonicity,[status(thm)],[6073])).
% 19.80/20.06 tff(6075,plain,
% 19.80/20.06 (((~![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(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)))),
% 19.80/20.06 inference(transitivity,[status(thm)],[6074, 6072])).
% 19.80/20.06 tff(6076,plain,
% 19.80/20.06 ((~![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(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6077,plain,
% 19.80/20.06 ((~![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(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 19.80/20.06 tff(6078,plain,
% 19.80/20.06 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6077, 478, 6071])).
% 19.80/20.06 tff(6079,plain,
% 19.80/20.06 (m_main_v_state1(s71, c_n1)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6078, 6067, 5997, 6063, 6059, 6055, 6051])).
% 19.80/20.06 tff(6080,plain,
% 19.80/20.06 (((~![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)))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6081,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6082,plain,
% 19.80/20.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6081, 6080])).
% 19.80/20.06 tff(6083,plain,
% 19.80/20.06 (~node8(s71)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6082, 383, 6028])).
% 19.80/20.06 tff(6084,plain,
% 19.80/20.06 (succ(s71, s72) <=> succ(s71, s72)),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6085,axiom,(succ(s71, s72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound72')).
% 19.80/20.06 tff(6086,plain,
% 19.80/20.06 (succ(s71, s72)),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6085, 6084])).
% 19.80/20.06 tff(6087,plain,
% 19.80/20.06 (((~![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))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6088,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6089,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 19.80/20.06 tff(6090,plain,
% 19.80/20.06 (trans(s71, s72)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6089, 6086, 57])).
% 19.80/20.06 tff(6091,plain,
% 19.80/20.06 (((~![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))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6092,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6093,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 19.80/20.06 tff(6094,plain,
% 19.80/20.06 (node14(s71, s72)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6093, 130, 6090])).
% 19.80/20.06 tff(6095,plain,
% 19.80/20.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.80/20.06 inference(rewrite,[status(thm)],[])).
% 19.80/20.06 tff(6096,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.80/20.06 inference(quant_inst,[status(thm)],[])).
% 19.80/20.06 tff(6097,plain,
% 19.80/20.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.80/20.06 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 19.80/20.06 tff(6098,plain,
% 19.80/20.06 ((~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)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6097, 704, 6094])).
% 19.80/20.06 tff(6099,plain,
% 19.80/20.06 (m_main_v_state2(s72, c_c2)),
% 19.80/20.06 inference(unit_resolution,[status(thm)],[6098, 6083, 6079, 6043, 6036, 6032])).
% 19.80/20.06 tff(6100,plain,
% 19.80/20.06 (^[X: $i] : refl(((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ((~m_main_v_state2(X, c_c2)) | (~always25(X))))),
% 19.80/20.06 inference(bind,[status(th)],[])).
% 19.80/20.06 tff(6101,plain,
% 19.80/20.06 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 19.80/20.06 inference(quant_intro,[status(thm)],[6100])).
% 19.80/20.07 tff(6102,plain,
% 19.80/20.07 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6103,axiom,(![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty14')).
% 19.80/20.07 tff(6104,plain,
% 19.80/20.07 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 19.80/20.07 tff(6105,plain,(
% 19.80/20.07 ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 19.80/20.07 inference(skolemize,[status(sab)],[6104])).
% 19.80/20.07 tff(6106,plain,
% 19.80/20.07 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6105, 6101])).
% 19.80/20.07 tff(6107,plain,
% 19.80/20.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s72)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6108,plain,
% 19.80/20.07 (((~m_main_v_state2(s72, c_c2)) | (~always25(s72))) <=> ((~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6109,plain,
% 19.80/20.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s72)) | (~m_main_v_state2(s72, c_c2))))),
% 19.80/20.07 inference(monotonicity,[status(thm)],[6108])).
% 19.80/20.07 tff(6110,plain,
% 19.80/20.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 19.80/20.07 inference(transitivity,[status(thm)],[6109, 6107])).
% 19.80/20.07 tff(6111,plain,
% 19.80/20.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6112,plain,
% 19.80/20.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 19.80/20.07 tff(6113,plain,
% 19.80/20.07 (~always25(s72)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6112, 6106, 6099])).
% 19.80/20.07 tff(6114,assumption,(~always25(s199)), introduced(assumption)).
% 19.80/20.07 tff(6115,assumption,(node26(s199)), introduced(assumption)).
% 19.80/20.07 tff(6116,plain,
% 19.80/20.07 (^[X: $i] : refl((always25(X) | (~node26(X))) <=> (always25(X) | (~node26(X))))),
% 19.80/20.07 inference(bind,[status(th)],[])).
% 19.80/20.07 tff(6117,plain,
% 19.80/20.07 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 19.80/20.07 inference(quant_intro,[status(thm)],[6116])).
% 19.80/20.07 tff(6118,plain,
% 19.80/20.07 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6119,axiom,(![X: $i] : (always25(X) | (~node26(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty18')).
% 19.80/20.07 tff(6120,plain,
% 19.80/20.07 (![X: $i] : (always25(X) | (~node26(X)))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 19.80/20.07 tff(6121,plain,(
% 19.80/20.07 ![X: $i] : (always25(X) | (~node26(X)))),
% 19.80/20.07 inference(skolemize,[status(sab)],[6120])).
% 19.80/20.07 tff(6122,plain,
% 19.80/20.07 (![X: $i] : (always25(X) | (~node26(X)))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6121, 6117])).
% 19.80/20.07 tff(6123,plain,
% 19.80/20.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6124,plain,
% 19.80/20.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6125,plain,
% 19.80/20.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6124, 6123])).
% 19.80/20.07 tff(6126,plain,
% 19.80/20.07 ($false),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6125, 6122, 6114, 6115])).
% 19.80/20.07 tff(6127,plain,((~node26(s199)) | always25(s199)), inference(lemma,lemma(discharge,[]))).
% 19.80/20.07 tff(6128,plain,
% 19.80/20.07 (~node26(s199)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6127, 6114])).
% 19.80/20.07 tff(6129,assumption,(~xuntil28(s199)), introduced(assumption)).
% 19.80/20.07 tff(6130,plain,
% 19.80/20.07 (succ(s198, s199) <=> succ(s198, s199)),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6131,axiom,(succ(s198, s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound199')).
% 19.80/20.07 tff(6132,plain,
% 19.80/20.07 (succ(s198, s199)),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 19.80/20.07 tff(6133,plain,
% 19.80/20.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6134,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6135,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 19.80/20.07 tff(6136,plain,
% 19.80/20.07 (trans(s198, s199)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6135, 6132, 57])).
% 19.80/20.07 tff(6137,plain,
% 19.80/20.07 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 19.80/20.07 inference(bind,[status(th)],[])).
% 19.80/20.07 tff(6138,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(quant_intro,[status(thm)],[6137])).
% 19.80/20.07 tff(6139,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6140,plain,
% 19.80/20.07 (^[Y: $i, X: $i] : rewrite(((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 19.80/20.07 inference(bind,[status(th)],[])).
% 19.80/20.07 tff(6141,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(quant_intro,[status(thm)],[6140])).
% 19.80/20.07 tff(6142,axiom,(![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty15')).
% 19.80/20.07 tff(6143,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 19.80/20.07 tff(6144,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6143, 6139])).
% 19.80/20.07 tff(6145,plain,(
% 19.80/20.07 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(skolemize,[status(sab)],[6144])).
% 19.80/20.07 tff(6146,plain,
% 19.80/20.07 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6145, 6138])).
% 19.80/20.07 tff(6147,plain,
% 19.80/20.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s199) | (~trans(s198, s199)) | (~always25(s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s199) | (~trans(s198, s199)) | (~always25(s198)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6148,plain,
% 19.80/20.07 (((~trans(s198, s199)) | (~always25(s198)) | always25(s199)) <=> (always25(s199) | (~trans(s198, s199)) | (~always25(s198)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6149,plain,
% 19.80/20.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s199) | (~trans(s198, s199)) | (~always25(s198))))),
% 19.80/20.07 inference(monotonicity,[status(thm)],[6148])).
% 19.80/20.07 tff(6150,plain,
% 19.80/20.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s199) | (~trans(s198, s199)) | (~always25(s198)))),
% 19.80/20.07 inference(transitivity,[status(thm)],[6149, 6147])).
% 19.80/20.07 tff(6151,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6152,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s199) | (~trans(s198, s199)) | (~always25(s198))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 19.80/20.07 tff(6153,plain,
% 19.80/20.07 (always25(s199) | (~always25(s198))),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6152, 6146, 6136])).
% 19.80/20.07 tff(6154,plain,
% 19.80/20.07 (~always25(s198)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6153, 6114])).
% 19.80/20.07 tff(6155,plain,
% 19.80/20.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6156,plain,
% 19.80/20.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6157,plain,
% 19.80/20.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198))),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 19.80/20.07 tff(6158,plain,
% 19.80/20.07 (~node26(s198)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6157, 6122, 6154])).
% 19.80/20.07 tff(6159,plain,
% 19.80/20.07 (((~![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))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6160,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6161,plain,
% 19.80/20.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 19.80/20.07 tff(6162,plain,
% 19.80/20.07 (node7(s71, s72)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6161, 217, 6090])).
% 19.80/20.07 tff(6163,plain,
% 19.80/20.07 (((~![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(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))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6164,plain,
% 19.80/20.07 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6165,plain,
% 19.80/20.07 ((~![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(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1)),
% 19.80/20.07 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 19.80/20.07 tff(6166,plain,
% 19.80/20.07 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6165, 598, 6162])).
% 19.80/20.07 tff(6167,plain,
% 19.80/20.07 (m_main_v_state1(s72, c_t1)),
% 19.80/20.07 inference(unit_resolution,[status(thm)],[6166, 6043, 6079])).
% 19.80/20.07 tff(6168,plain,
% 19.80/20.07 (((~![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)))),
% 19.80/20.07 inference(rewrite,[status(thm)],[])).
% 19.80/20.07 tff(6169,plain,
% 19.80/20.07 ((~![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)))),
% 19.80/20.07 inference(quant_inst,[status(thm)],[])).
% 19.80/20.07 tff(6170,plain,
% 19.80/20.07 ((~![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))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 19.80/20.08 tff(6171,plain,
% 19.80/20.08 (~m_main_v_state1(s72, c_n1)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6170, 35, 6167])).
% 19.80/20.08 tff(6172,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6173,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6174,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 19.80/20.08 tff(6175,plain,
% 19.80/20.08 (~node1(s72)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6174, 249, 6171])).
% 19.80/20.08 tff(6176,plain,
% 19.80/20.08 (((~![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))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6177,plain,
% 19.80/20.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6178,plain,
% 19.80/20.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 19.80/20.08 tff(6179,plain,
% 19.80/20.08 (node18(s71, s72)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6178, 71, 6090])).
% 19.80/20.08 tff(6180,plain,
% 19.80/20.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6181,plain,
% 19.80/20.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6182,plain,
% 19.80/20.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2)),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 19.80/20.08 tff(6183,plain,
% 19.80/20.08 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6182, 625, 6179])).
% 19.80/20.08 tff(6184,plain,
% 19.80/20.08 (m_main_v_turn(s72, c_2)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6183, 6043, 6079])).
% 19.80/20.08 tff(6185,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6186,plain,
% 19.80/20.08 ((~![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)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6187,plain,
% 19.80/20.08 ((~![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))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 19.80/20.08 tff(6188,plain,
% 19.80/20.08 (~m_main_v_turn(s72, c_1)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6187, 322, 6184])).
% 19.80/20.08 tff(6189,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6190,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6191,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 19.80/20.08 tff(6192,plain,
% 19.80/20.08 (~node5(s72)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6191, 641, 6188])).
% 19.80/20.08 tff(6193,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6194,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6195,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 19.80/20.08 tff(6196,plain,
% 19.80/20.08 (~node2(s72)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6195, 652, 6171])).
% 19.80/20.08 tff(6197,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6198,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6199,plain,
% 19.80/20.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 19.80/20.08 tff(6200,plain,
% 19.80/20.08 (~node3(s72)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6199, 663, 6171])).
% 19.80/20.08 tff(6201,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6202,plain,
% 19.80/20.08 ((~![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)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6203,plain,
% 19.80/20.08 ((~![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))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 19.80/20.08 tff(6204,plain,
% 19.80/20.08 (~m_main_v_state1(s72, c_c1)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6203, 289, 6167])).
% 19.80/20.08 tff(6205,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.80/20.08 tff(6206,plain,
% 19.80/20.08 ((~![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)))),
% 19.80/20.08 inference(quant_inst,[status(thm)],[])).
% 19.80/20.08 tff(6207,plain,
% 19.80/20.08 ((~![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))),
% 19.80/20.08 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 19.80/20.08 tff(6208,plain,
% 19.80/20.08 (~m_main_v_state2(s72, c_n2)),
% 19.80/20.08 inference(unit_resolution,[status(thm)],[6207, 716, 6099])).
% 19.80/20.08 tff(6209,plain,
% 19.80/20.08 (((~![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)))),
% 19.80/20.08 inference(rewrite,[status(thm)],[])).
% 19.86/20.08 tff(6210,plain,
% 19.86/20.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 19.86/20.08 inference(quant_inst,[status(thm)],[])).
% 19.86/20.08 tff(6211,plain,
% 19.86/20.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 19.86/20.08 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 19.86/20.08 tff(6212,plain,
% 19.86/20.08 (~node4(s72)),
% 19.86/20.08 inference(unit_resolution,[status(thm)],[6211, 162, 6208])).
% 19.86/20.08 tff(6213,plain,
% 19.86/20.08 (succ(s72, s73) <=> succ(s72, s73)),
% 19.86/20.08 inference(rewrite,[status(thm)],[])).
% 19.86/20.08 tff(6214,axiom,(succ(s72, s73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound73')).
% 19.86/20.08 tff(6215,plain,
% 19.86/20.08 (succ(s72, s73)),
% 19.86/20.08 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 19.86/20.08 tff(6216,plain,
% 19.86/20.08 (((~![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))),
% 19.86/20.08 inference(rewrite,[status(thm)],[])).
% 19.86/20.08 tff(6217,plain,
% 19.86/20.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 19.86/20.08 inference(quant_inst,[status(thm)],[])).
% 19.86/20.08 tff(6218,plain,
% 19.86/20.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 19.86/20.08 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 19.86/20.08 tff(6219,plain,
% 19.86/20.08 (trans(s72, s73)),
% 19.86/20.08 inference(unit_resolution,[status(thm)],[6218, 6215, 57])).
% 19.86/20.08 tff(6220,plain,
% 19.86/20.08 (((~![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))),
% 19.86/20.08 inference(rewrite,[status(thm)],[])).
% 19.86/20.08 tff(6221,plain,
% 19.86/20.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 19.86/20.08 inference(quant_inst,[status(thm)],[])).
% 19.86/20.08 tff(6222,plain,
% 19.86/20.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 19.86/20.08 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 19.86/20.08 tff(6223,plain,
% 19.86/20.08 (node7(s72, s73)),
% 19.86/20.08 inference(unit_resolution,[status(thm)],[6222, 217, 6219])).
% 19.86/20.08 tff(6224,plain,
% 19.86/20.08 (((~![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(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)))),
% 19.86/20.08 inference(rewrite,[status(thm)],[])).
% 19.86/20.08 tff(6225,plain,
% 19.86/20.08 ((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 19.86/20.08 inference(quant_inst,[status(thm)],[])).
% 19.86/20.08 tff(6226,plain,
% 19.86/20.08 ((~![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(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73))),
% 19.86/20.08 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 19.86/20.08 tff(6227,plain,
% 19.86/20.08 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 19.86/20.08 inference(unit_resolution,[status(thm)],[6226, 745, 6223])).
% 19.86/20.08 tff(6228,plain,
% 19.86/20.08 (node6(s72, s73)),
% 19.86/20.08 inference(unit_resolution,[status(thm)],[6227, 6212, 6204, 6200, 6196, 6192, 6175])).
% 19.86/20.08 tff(6229,plain,
% 19.86/20.08 (((~![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(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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6230,plain,
% 19.86/20.09 (((~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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6231,plain,
% 19.86/20.09 (((~![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))))),
% 19.86/20.09 inference(monotonicity,[status(thm)],[6230])).
% 19.86/20.09 tff(6232,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(transitivity,[status(thm)],[6231, 6229])).
% 19.86/20.09 tff(6233,plain,
% 19.86/20.09 ((~![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))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6234,plain,
% 19.86/20.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 19.86/20.09 tff(6235,plain,
% 19.86/20.09 (m_main_v_state1(s73, c_t1)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6234, 760, 6167, 6228])).
% 19.86/20.09 tff(6236,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6237,plain,
% 19.86/20.09 ((~![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)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6238,plain,
% 19.86/20.09 ((~![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))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 19.86/20.09 tff(6239,plain,
% 19.86/20.09 (~m_main_v_state2(s72, c_t2)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6238, 173, 6099])).
% 19.86/20.09 tff(6240,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6241,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6242,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 19.86/20.09 tff(6243,plain,
% 19.86/20.09 (~node12(s72)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6242, 778, 6239])).
% 19.86/20.09 tff(6244,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6245,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6246,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 19.86/20.09 tff(6247,plain,
% 19.86/20.09 (~node11(s72)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6246, 361, 6171])).
% 19.86/20.09 tff(6248,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6249,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6250,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 19.86/20.09 tff(6251,plain,
% 19.86/20.09 (~node10(s72)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6250, 793, 6204])).
% 19.86/20.09 tff(6252,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6253,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6254,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 19.86/20.09 tff(6255,plain,
% 19.86/20.09 (~node9(s72)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6254, 804, 6171])).
% 19.86/20.09 tff(6256,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6257,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6258,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6257, 6256])).
% 19.86/20.09 tff(6259,plain,
% 19.86/20.09 (~node8(s72)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6258, 383, 6208])).
% 19.86/20.09 tff(6260,plain,
% 19.86/20.09 (((~![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))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6261,plain,
% 19.86/20.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6262,plain,
% 19.86/20.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 19.86/20.09 tff(6263,plain,
% 19.86/20.09 (node14(s72, s73)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6262, 130, 6219])).
% 19.86/20.09 tff(6264,plain,
% 19.86/20.09 (((~![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(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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6265,plain,
% 19.86/20.09 (((~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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6266,plain,
% 19.86/20.09 (((~![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(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))))),
% 19.86/20.09 inference(monotonicity,[status(thm)],[6265])).
% 19.86/20.09 tff(6267,plain,
% 19.86/20.09 (((~![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(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)))),
% 19.86/20.09 inference(transitivity,[status(thm)],[6266, 6264])).
% 19.86/20.09 tff(6268,plain,
% 19.86/20.09 ((~![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(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6269,plain,
% 19.86/20.09 ((~![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(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6268, 6267])).
% 19.86/20.09 tff(6270,plain,
% 19.86/20.09 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6269, 826, 6263])).
% 19.86/20.09 tff(6271,plain,
% 19.86/20.09 (m_main_v_state2(s73, c_n2)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6270, 6259, 6099, 6255, 6251, 6247, 6243])).
% 19.86/20.09 tff(6272,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6273,plain,
% 19.86/20.09 ((~![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)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6274,plain,
% 19.86/20.09 ((~![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))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 19.86/20.09 tff(6275,plain,
% 19.86/20.09 (~m_main_v_state2(s73, c_t2)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6274, 10, 6271])).
% 19.86/20.09 tff(6276,plain,
% 19.86/20.09 (((~![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)))),
% 19.86/20.09 inference(rewrite,[status(thm)],[])).
% 19.86/20.09 tff(6277,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 19.86/20.09 inference(quant_inst,[status(thm)],[])).
% 19.86/20.09 tff(6278,plain,
% 19.86/20.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 19.86/20.09 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 19.86/20.09 tff(6279,plain,
% 19.86/20.09 (~node15(s73)),
% 19.86/20.09 inference(unit_resolution,[status(thm)],[6278, 21, 6275])).
% 19.86/20.09 tff(6280,plain,
% 19.86/20.10 (succ(s73, s74) <=> succ(s73, s74)),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6281,axiom,(succ(s73, s74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound74')).
% 19.86/20.10 tff(6282,plain,
% 19.86/20.10 (succ(s73, s74)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 19.86/20.10 tff(6283,plain,
% 19.86/20.10 (((~![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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6284,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6285,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 19.86/20.10 tff(6286,plain,
% 19.86/20.10 (trans(s73, s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6285, 6282, 57])).
% 19.86/20.10 tff(6287,plain,
% 19.86/20.10 (((~![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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6288,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6289,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6288, 6287])).
% 19.86/20.10 tff(6290,plain,
% 19.86/20.10 (node18(s73, s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6289, 71, 6286])).
% 19.86/20.10 tff(6291,plain,
% 19.86/20.10 (((~![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(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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6292,plain,
% 19.86/20.10 (((~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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6293,plain,
% 19.86/20.10 (((~![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(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)))),
% 19.86/20.10 inference(monotonicity,[status(thm)],[6292])).
% 19.86/20.10 tff(6294,plain,
% 19.86/20.10 (((~![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(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))),
% 19.86/20.10 inference(transitivity,[status(thm)],[6293, 6291])).
% 19.86/20.10 tff(6295,plain,
% 19.86/20.10 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6296,plain,
% 19.86/20.10 ((~![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(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)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6295, 6294])).
% 19.86/20.10 tff(6297,plain,
% 19.86/20.10 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6296, 863, 6290])).
% 19.86/20.10 tff(6298,plain,
% 19.86/20.10 (m_main_v_turn(s74, c_1)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6297, 6279, 6271, 6235])).
% 19.86/20.10 tff(6299,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6300,plain,
% 19.86/20.10 ((~![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)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6301,plain,
% 19.86/20.10 ((~![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))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 19.86/20.10 tff(6302,plain,
% 19.86/20.10 (~m_main_v_turn(s74, c_2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6301, 322, 6298])).
% 19.86/20.10 tff(6303,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6304,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6305,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 19.86/20.10 tff(6306,plain,
% 19.86/20.10 (~node12(s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6305, 350, 6302])).
% 19.86/20.10 tff(6307,plain,
% 19.86/20.10 (((~![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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6308,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6309,plain,
% 19.86/20.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 19.86/20.10 tff(6310,plain,
% 19.86/20.10 (node14(s73, s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6309, 130, 6286])).
% 19.86/20.10 tff(6311,plain,
% 19.86/20.10 (((~![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(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))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6312,plain,
% 19.86/20.10 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6313,plain,
% 19.86/20.10 ((~![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(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2)),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 19.86/20.10 tff(6314,plain,
% 19.86/20.10 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6313, 893, 6310])).
% 19.86/20.10 tff(6315,plain,
% 19.86/20.10 (m_main_v_state2(s74, c_t2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6314, 6235, 6271])).
% 19.86/20.10 tff(6316,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6317,plain,
% 19.86/20.10 ((~![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)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6318,plain,
% 19.86/20.10 ((~![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))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 19.86/20.10 tff(6319,plain,
% 19.86/20.10 (~m_main_v_state2(s74, c_n2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6318, 10, 6315])).
% 19.86/20.10 tff(6320,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6321,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6322,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 19.86/20.10 tff(6323,plain,
% 19.86/20.10 (~node8(s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6322, 383, 6319])).
% 19.86/20.10 tff(6324,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6325,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6326,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 19.86/20.10 tff(6327,plain,
% 19.86/20.10 (~node9(s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6326, 311, 6319])).
% 19.86/20.10 tff(6328,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6329,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6330,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 19.86/20.10 tff(6331,plain,
% 19.86/20.10 (~node10(s74)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6330, 372, 6319])).
% 19.86/20.10 tff(6332,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6333,plain,
% 19.86/20.10 ((~![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)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6334,plain,
% 19.86/20.10 ((~![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))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 19.86/20.10 tff(6335,plain,
% 19.86/20.10 (~m_main_v_state2(s74, c_c2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6334, 173, 6315])).
% 19.86/20.10 tff(6336,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6337,plain,
% 19.86/20.10 ((~![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)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6338,plain,
% 19.86/20.10 ((~![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))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 19.86/20.10 tff(6339,plain,
% 19.86/20.10 (~m_main_v_state2(s73, c_c2)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6338, 716, 6271])).
% 19.86/20.10 tff(6340,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6341,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6342,plain,
% 19.86/20.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 19.86/20.10 tff(6343,plain,
% 19.86/20.10 (~node3(s73)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6342, 184, 6339])).
% 19.86/20.10 tff(6344,plain,
% 19.86/20.10 (((~![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(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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6345,plain,
% 19.86/20.10 (((~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)))),
% 19.86/20.10 inference(rewrite,[status(thm)],[])).
% 19.86/20.10 tff(6346,plain,
% 19.86/20.10 (((~![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))))),
% 19.86/20.10 inference(monotonicity,[status(thm)],[6345])).
% 19.86/20.10 tff(6347,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.10 inference(transitivity,[status(thm)],[6346, 6344])).
% 19.86/20.10 tff(6348,plain,
% 19.86/20.10 ((~![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)))),
% 19.86/20.10 inference(quant_inst,[status(thm)],[])).
% 19.86/20.10 tff(6349,plain,
% 19.86/20.10 ((~![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(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 19.86/20.10 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 19.86/20.10 tff(6350,plain,
% 19.86/20.10 (~m_main_v_state1(s73, c_n1)),
% 19.86/20.10 inference(unit_resolution,[status(thm)],[6349, 936, 6171, 6228])).
% 19.86/20.10 tff(6351,plain,
% 19.86/20.10 (((~![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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6352,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6353,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 19.86/20.11 tff(6354,plain,
% 19.86/20.11 (~node2(s73)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6353, 652, 6350])).
% 19.86/20.11 tff(6355,plain,
% 19.86/20.11 (((~![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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6356,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6357,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 19.86/20.11 tff(6358,plain,
% 19.86/20.11 (~node1(s73)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6357, 206, 6275])).
% 19.86/20.11 tff(6359,plain,
% 19.86/20.11 (((~![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))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6360,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6361,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 19.86/20.11 tff(6362,plain,
% 19.86/20.11 (node7(s73, s74)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6361, 217, 6286])).
% 19.86/20.11 tff(6363,plain,
% 19.86/20.11 (((~![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(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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6364,plain,
% 19.86/20.11 (((~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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6365,plain,
% 19.86/20.11 (((~![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(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))))),
% 19.86/20.11 inference(monotonicity,[status(thm)],[6364])).
% 19.86/20.11 tff(6366,plain,
% 19.86/20.11 (((~![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(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)))),
% 19.86/20.11 inference(transitivity,[status(thm)],[6365, 6363])).
% 19.86/20.11 tff(6367,plain,
% 19.86/20.11 ((~![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(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))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6368,plain,
% 19.86/20.11 ((~![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(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))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 19.86/20.11 tff(6369,plain,
% 19.86/20.11 ((~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)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6368, 965, 6362])).
% 19.86/20.11 tff(6370,plain,
% 19.86/20.11 (m_main_v_state1(s74, c_c1)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6369, 6358, 6271, 6235, 6354, 6343])).
% 19.86/20.11 tff(6371,plain,
% 19.86/20.11 (((~![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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6372,plain,
% 19.86/20.11 ((~![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)))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6373,plain,
% 19.86/20.11 ((~![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))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 19.86/20.11 tff(6374,plain,
% 19.86/20.11 (~m_main_v_state1(s74, c_n1)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6373, 449, 6370])).
% 19.86/20.11 tff(6375,plain,
% 19.86/20.11 (((~![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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6376,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6377,plain,
% 19.86/20.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 19.86/20.11 tff(6378,plain,
% 19.86/20.11 (~node11(s74)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6377, 361, 6374])).
% 19.86/20.11 tff(6379,plain,
% 19.86/20.11 (succ(s74, s75) <=> succ(s74, s75)),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6380,axiom,(succ(s74, s75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound75')).
% 19.86/20.11 tff(6381,plain,
% 19.86/20.11 (succ(s74, s75)),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6380, 6379])).
% 19.86/20.11 tff(6382,plain,
% 19.86/20.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6383,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6384,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 19.86/20.11 tff(6385,plain,
% 19.86/20.11 (trans(s74, s75)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6384, 6381, 57])).
% 19.86/20.11 tff(6386,plain,
% 19.86/20.11 (((~![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))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6387,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6388,plain,
% 19.86/20.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 19.86/20.11 tff(6389,plain,
% 19.86/20.11 (node14(s74, s75)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6388, 130, 6385])).
% 19.86/20.11 tff(6390,plain,
% 19.86/20.11 (((~![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(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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6391,plain,
% 19.86/20.11 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 19.86/20.11 inference(quant_inst,[status(thm)],[])).
% 19.86/20.11 tff(6392,plain,
% 19.86/20.11 ((~![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(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 19.86/20.11 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 19.86/20.11 tff(6393,plain,
% 19.86/20.11 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6392, 401, 6389])).
% 19.86/20.11 tff(6394,plain,
% 19.86/20.11 (node13(s74, s75)),
% 19.86/20.11 inference(unit_resolution,[status(thm)],[6393, 6378, 6335, 6331, 6327, 6323, 6306])).
% 19.86/20.11 tff(6395,plain,
% 19.86/20.11 (((~![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(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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6396,plain,
% 19.86/20.11 (((~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)))),
% 19.86/20.11 inference(rewrite,[status(thm)],[])).
% 19.86/20.11 tff(6397,plain,
% 19.86/20.11 (((~![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))))),
% 19.86/20.11 inference(monotonicity,[status(thm)],[6396])).
% 19.86/20.11 tff(6398,plain,
% 19.86/20.11 (((~![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)))),
% 19.86/20.11 inference(transitivity,[status(thm)],[6397, 6395])).
% 19.86/20.11 tff(6399,plain,
% 19.86/20.11 ((~![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)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6400,plain,
% 19.86/20.12 ((~![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(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 19.86/20.12 tff(6401,plain,
% 19.86/20.12 (~m_main_v_state2(s75, c_n2)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6400, 416, 6319, 6394])).
% 19.86/20.12 tff(6402,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6403,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6404,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 19.86/20.12 tff(6405,plain,
% 19.86/20.12 (~node9(s75)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6404, 311, 6401])).
% 19.86/20.12 tff(6406,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6407,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6408,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6407, 6406])).
% 19.86/20.12 tff(6409,plain,
% 19.86/20.12 (~node10(s75)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6408, 372, 6401])).
% 19.86/20.12 tff(6410,plain,
% 19.86/20.12 (((~![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(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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6411,plain,
% 19.86/20.12 (((~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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6412,plain,
% 19.86/20.12 (((~![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))))),
% 19.86/20.12 inference(monotonicity,[status(thm)],[6411])).
% 19.86/20.12 tff(6413,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(transitivity,[status(thm)],[6412, 6410])).
% 19.86/20.12 tff(6414,plain,
% 19.86/20.12 ((~![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))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6415,plain,
% 19.86/20.12 ((~![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(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 19.86/20.12 tff(6416,plain,
% 19.86/20.12 (m_main_v_state2(s75, c_t2)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6415, 563, 6315, 6394])).
% 19.86/20.12 tff(6417,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6418,plain,
% 19.86/20.12 ((~![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)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6419,plain,
% 19.86/20.12 ((~![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))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 19.86/20.12 tff(6420,plain,
% 19.86/20.12 (~m_main_v_state1(s74, c_t1)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6419, 289, 6370])).
% 19.86/20.12 tff(6421,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6422,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6423,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 19.86/20.12 tff(6424,plain,
% 19.86/20.12 (~node5(s74)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6423, 300, 6420])).
% 19.86/20.12 tff(6425,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6426,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6427,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6426, 6425])).
% 19.86/20.12 tff(6428,plain,
% 19.86/20.12 (~node4(s74)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6427, 162, 6319])).
% 19.86/20.12 tff(6429,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6430,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6431,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 19.86/20.12 tff(6432,plain,
% 19.86/20.12 (~node3(s74)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6431, 184, 6335])).
% 19.86/20.12 tff(6433,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6434,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6435,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6434, 6433])).
% 19.86/20.12 tff(6436,plain,
% 19.86/20.12 (~node2(s74)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6435, 195, 6319])).
% 19.86/20.12 tff(6437,plain,
% 19.86/20.12 (((~![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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6438,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6439,plain,
% 19.86/20.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 19.86/20.12 tff(6440,plain,
% 19.86/20.12 (~node1(s74)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6439, 249, 6374])).
% 19.86/20.12 tff(6441,plain,
% 19.86/20.12 (((~![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))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6442,plain,
% 19.86/20.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 19.86/20.12 inference(quant_inst,[status(thm)],[])).
% 19.86/20.12 tff(6443,plain,
% 19.86/20.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 19.86/20.12 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 19.86/20.12 tff(6444,plain,
% 19.86/20.12 (node7(s74, s75)),
% 19.86/20.12 inference(unit_resolution,[status(thm)],[6443, 217, 6385])).
% 19.86/20.12 tff(6445,plain,
% 19.86/20.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 19.86/20.12 inference(rewrite,[status(thm)],[])).
% 19.86/20.12 tff(6446,plain,
% 19.86/20.12 (((~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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6447,plain,
% 19.86/20.13 (((~![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(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))))),
% 19.86/20.13 inference(monotonicity,[status(thm)],[6446])).
% 19.86/20.13 tff(6448,plain,
% 19.86/20.13 (((~![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(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)))),
% 19.86/20.13 inference(transitivity,[status(thm)],[6447, 6445])).
% 19.86/20.13 tff(6449,plain,
% 19.86/20.13 ((~![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(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6450,plain,
% 19.86/20.13 ((~![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(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 19.86/20.13 tff(6451,plain,
% 19.86/20.13 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6450, 478, 6444])).
% 19.86/20.13 tff(6452,plain,
% 19.86/20.13 (m_main_v_state1(s75, c_n1)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6451, 6440, 6370, 6436, 6432, 6428, 6424])).
% 19.86/20.13 tff(6453,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6454,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6455,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 19.86/20.13 tff(6456,plain,
% 19.86/20.13 (~node8(s75)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6455, 383, 6401])).
% 19.86/20.13 tff(6457,plain,
% 19.86/20.13 (succ(s75, s76) <=> succ(s75, s76)),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6458,axiom,(succ(s75, s76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound76')).
% 19.86/20.13 tff(6459,plain,
% 19.86/20.13 (succ(s75, s76)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 19.86/20.13 tff(6460,plain,
% 19.86/20.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6461,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6462,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 19.86/20.13 tff(6463,plain,
% 19.86/20.13 (trans(s75, s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6462, 6459, 57])).
% 19.86/20.13 tff(6464,plain,
% 19.86/20.13 (((~![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))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6465,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6466,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 19.86/20.13 tff(6467,plain,
% 19.86/20.13 (node14(s75, s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6466, 130, 6463])).
% 19.86/20.13 tff(6468,plain,
% 19.86/20.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6469,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6470,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 19.86/20.13 tff(6471,plain,
% 19.86/20.13 ((~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)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6470, 704, 6467])).
% 19.86/20.13 tff(6472,plain,
% 19.86/20.13 (m_main_v_state2(s76, c_c2)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6471, 6456, 6452, 6416, 6409, 6405])).
% 19.86/20.13 tff(6473,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6474,plain,
% 19.86/20.13 ((~![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)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6475,plain,
% 19.86/20.13 ((~![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))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 19.86/20.13 tff(6476,plain,
% 19.86/20.13 (~m_main_v_state2(s76, c_t2)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6475, 173, 6472])).
% 19.86/20.13 tff(6477,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6478,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6479,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 19.86/20.13 tff(6480,plain,
% 19.86/20.13 (~node12(s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6479, 778, 6476])).
% 19.86/20.13 tff(6481,plain,
% 19.86/20.13 (((~![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))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6482,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6483,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6482, 6481])).
% 19.86/20.13 tff(6484,plain,
% 19.86/20.13 (node7(s75, s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6483, 217, 6463])).
% 19.86/20.13 tff(6485,plain,
% 19.86/20.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6486,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6487,plain,
% 19.86/20.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1)),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 19.86/20.13 tff(6488,plain,
% 19.86/20.13 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6487, 598, 6484])).
% 19.86/20.13 tff(6489,plain,
% 19.86/20.13 (m_main_v_state1(s76, c_t1)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6488, 6416, 6452])).
% 19.86/20.13 tff(6490,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6491,plain,
% 19.86/20.13 ((~![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)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6492,plain,
% 19.86/20.13 ((~![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))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 19.86/20.13 tff(6493,plain,
% 19.86/20.13 (~m_main_v_state1(s76, c_n1)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6492, 35, 6489])).
% 19.86/20.13 tff(6494,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6495,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6496,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 19.86/20.13 tff(6497,plain,
% 19.86/20.13 (~node11(s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6496, 361, 6493])).
% 19.86/20.13 tff(6498,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6499,plain,
% 19.86/20.13 ((~![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)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6500,plain,
% 19.86/20.13 ((~![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))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 19.86/20.13 tff(6501,plain,
% 19.86/20.13 (~m_main_v_state1(s76, c_c1)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6500, 289, 6489])).
% 19.86/20.13 tff(6502,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6503,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 19.86/20.13 inference(quant_inst,[status(thm)],[])).
% 19.86/20.13 tff(6504,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 19.86/20.13 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 19.86/20.13 tff(6505,plain,
% 19.86/20.13 (~node10(s76)),
% 19.86/20.13 inference(unit_resolution,[status(thm)],[6504, 793, 6501])).
% 19.86/20.13 tff(6506,plain,
% 19.86/20.13 (((~![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)))),
% 19.86/20.13 inference(rewrite,[status(thm)],[])).
% 19.86/20.13 tff(6507,plain,
% 19.86/20.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6508,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 19.86/20.14 tff(6509,plain,
% 19.86/20.14 (~node9(s76)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6508, 804, 6493])).
% 19.86/20.14 tff(6510,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6511,plain,
% 19.86/20.14 ((~![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)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6512,plain,
% 19.86/20.14 ((~![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))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 19.86/20.14 tff(6513,plain,
% 19.86/20.14 (~m_main_v_state2(s76, c_n2)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6512, 716, 6472])).
% 19.86/20.14 tff(6514,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6515,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6516,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6515, 6514])).
% 19.86/20.14 tff(6517,plain,
% 19.86/20.14 (~node8(s76)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6516, 383, 6513])).
% 19.86/20.14 tff(6518,plain,
% 19.86/20.14 (succ(s76, s77) <=> succ(s76, s77)),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6519,axiom,(succ(s76, s77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound77')).
% 19.86/20.14 tff(6520,plain,
% 19.86/20.14 (succ(s76, s77)),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 19.86/20.14 tff(6521,plain,
% 19.86/20.14 (((~![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))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6522,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6523,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 19.86/20.14 tff(6524,plain,
% 19.86/20.14 (trans(s76, s77)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6523, 6520, 57])).
% 19.86/20.14 tff(6525,plain,
% 19.86/20.14 (((~![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))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6526,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6527,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 19.86/20.14 tff(6528,plain,
% 19.86/20.14 (node14(s76, s77)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6527, 130, 6524])).
% 19.86/20.14 tff(6529,plain,
% 19.86/20.14 (((~![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(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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6530,plain,
% 19.86/20.14 (((~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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6531,plain,
% 19.86/20.14 (((~![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(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))))),
% 19.86/20.14 inference(monotonicity,[status(thm)],[6530])).
% 19.86/20.14 tff(6532,plain,
% 19.86/20.14 (((~![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(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)))),
% 19.86/20.14 inference(transitivity,[status(thm)],[6531, 6529])).
% 19.86/20.14 tff(6533,plain,
% 19.86/20.14 ((~![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(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6534,plain,
% 19.86/20.14 ((~![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(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6533, 6532])).
% 19.86/20.14 tff(6535,plain,
% 19.86/20.14 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6534, 826, 6528])).
% 19.86/20.14 tff(6536,plain,
% 19.86/20.14 (m_main_v_state2(s77, c_n2)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6535, 6517, 6472, 6509, 6505, 6497, 6480])).
% 19.86/20.14 tff(6537,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6538,plain,
% 19.86/20.14 ((~![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)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6539,plain,
% 19.86/20.14 ((~![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))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 19.86/20.14 tff(6540,plain,
% 19.86/20.14 (~m_main_v_state2(s77, c_c2)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6539, 716, 6536])).
% 19.86/20.14 tff(6541,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6542,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6543,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 19.86/20.14 tff(6544,plain,
% 19.86/20.14 (~node3(s77)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6543, 184, 6540])).
% 19.86/20.14 tff(6545,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6546,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6547,plain,
% 19.86/20.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 19.86/20.14 tff(6548,plain,
% 19.86/20.14 (~node1(s76)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6547, 249, 6493])).
% 19.86/20.14 tff(6549,plain,
% 19.86/20.14 (((~![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))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6550,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6551,plain,
% 19.86/20.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6550, 6549])).
% 19.86/20.14 tff(6552,plain,
% 19.86/20.14 (node18(s75, s76)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6551, 71, 6463])).
% 19.86/20.14 tff(6553,plain,
% 19.86/20.14 (((~![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(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))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6554,plain,
% 19.86/20.14 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6555,plain,
% 19.86/20.14 ((~![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(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 19.86/20.14 inference(modus_ponens,[status(thm)],[6554, 6553])).
% 19.86/20.14 tff(6556,plain,
% 19.86/20.14 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6555, 625, 6552])).
% 19.86/20.14 tff(6557,plain,
% 19.86/20.14 (m_main_v_turn(s76, c_2)),
% 19.86/20.14 inference(unit_resolution,[status(thm)],[6556, 6416, 6452])).
% 19.86/20.14 tff(6558,plain,
% 19.86/20.14 (((~![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)))),
% 19.86/20.14 inference(rewrite,[status(thm)],[])).
% 19.86/20.14 tff(6559,plain,
% 19.86/20.14 ((~![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)))),
% 19.86/20.14 inference(quant_inst,[status(thm)],[])).
% 19.86/20.14 tff(6560,plain,
% 19.86/20.14 ((~![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))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 19.86/20.15 tff(6561,plain,
% 19.86/20.15 (~m_main_v_turn(s76, c_1)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6560, 322, 6557])).
% 19.86/20.15 tff(6562,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6563,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6564,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 19.86/20.15 tff(6565,plain,
% 19.86/20.15 (~node5(s76)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6564, 641, 6561])).
% 19.86/20.15 tff(6566,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6567,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6568,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 19.86/20.15 tff(6569,plain,
% 19.86/20.15 (~node2(s76)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6568, 652, 6493])).
% 19.86/20.15 tff(6570,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6571,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6572,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 19.86/20.15 tff(6573,plain,
% 19.86/20.15 (~node3(s76)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6572, 663, 6493])).
% 19.86/20.15 tff(6574,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6575,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6576,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 19.86/20.15 tff(6577,plain,
% 19.86/20.15 (~node4(s76)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6576, 162, 6513])).
% 19.86/20.15 tff(6578,plain,
% 19.86/20.15 (((~![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))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6579,plain,
% 19.86/20.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6580,plain,
% 19.86/20.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 19.86/20.15 tff(6581,plain,
% 19.86/20.15 (node7(s76, s77)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6580, 217, 6524])).
% 19.86/20.15 tff(6582,plain,
% 19.86/20.15 (((~![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(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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6583,plain,
% 19.86/20.15 ((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6584,plain,
% 19.86/20.15 ((~![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(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 19.86/20.15 tff(6585,plain,
% 19.86/20.15 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6584, 745, 6581])).
% 19.86/20.15 tff(6586,plain,
% 19.86/20.15 (node6(s76, s77)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6585, 6577, 6501, 6573, 6569, 6565, 6548])).
% 19.86/20.15 tff(6587,plain,
% 19.86/20.15 (((~![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(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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6588,plain,
% 19.86/20.15 (((~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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6589,plain,
% 19.86/20.15 (((~![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))))),
% 19.86/20.15 inference(monotonicity,[status(thm)],[6588])).
% 19.86/20.15 tff(6590,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(transitivity,[status(thm)],[6589, 6587])).
% 19.86/20.15 tff(6591,plain,
% 19.86/20.15 ((~![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)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6592,plain,
% 19.86/20.15 ((~![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(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 19.86/20.15 tff(6593,plain,
% 19.86/20.15 (~m_main_v_state1(s77, c_n1)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6592, 936, 6493, 6586])).
% 19.86/20.15 tff(6594,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6595,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6596,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 19.86/20.15 tff(6597,plain,
% 19.86/20.15 (~node2(s77)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6596, 652, 6593])).
% 19.86/20.15 tff(6598,plain,
% 19.86/20.15 (((~![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(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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6599,plain,
% 19.86/20.15 (((~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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6600,plain,
% 19.86/20.15 (((~![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))))),
% 19.86/20.15 inference(monotonicity,[status(thm)],[6599])).
% 19.86/20.15 tff(6601,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(transitivity,[status(thm)],[6600, 6598])).
% 19.86/20.15 tff(6602,plain,
% 19.86/20.15 ((~![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))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6603,plain,
% 19.86/20.15 ((~![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(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 19.86/20.15 tff(6604,plain,
% 19.86/20.15 (m_main_v_state1(s77, c_t1)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6603, 760, 6489, 6586])).
% 19.86/20.15 tff(6605,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6606,plain,
% 19.86/20.15 ((~![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)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6607,plain,
% 19.86/20.15 ((~![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))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 19.86/20.15 tff(6608,plain,
% 19.86/20.15 (~m_main_v_state2(s77, c_t2)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6607, 10, 6536])).
% 19.86/20.15 tff(6609,plain,
% 19.86/20.15 (((~![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)))),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6610,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 19.86/20.15 inference(quant_inst,[status(thm)],[])).
% 19.86/20.15 tff(6611,plain,
% 19.86/20.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 19.86/20.15 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 19.86/20.15 tff(6612,plain,
% 19.86/20.15 (~node1(s77)),
% 19.86/20.15 inference(unit_resolution,[status(thm)],[6611, 206, 6608])).
% 19.86/20.15 tff(6613,plain,
% 19.86/20.15 (succ(s77, s78) <=> succ(s77, s78)),
% 19.86/20.15 inference(rewrite,[status(thm)],[])).
% 19.86/20.15 tff(6614,axiom,(succ(s77, s78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound78')).
% 19.86/20.16 tff(6615,plain,
% 19.86/20.16 (succ(s77, s78)),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 19.86/20.16 tff(6616,plain,
% 19.86/20.16 (((~![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))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6617,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6618,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6617, 6616])).
% 19.86/20.16 tff(6619,plain,
% 19.86/20.16 (trans(s77, s78)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6618, 6615, 57])).
% 19.86/20.16 tff(6620,plain,
% 19.86/20.16 (((~![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))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6621,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6622,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 19.86/20.16 tff(6623,plain,
% 19.86/20.16 (node7(s77, s78)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6622, 217, 6619])).
% 19.86/20.16 tff(6624,plain,
% 19.86/20.16 (((~![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(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)))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6625,plain,
% 19.86/20.16 (((~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)))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6626,plain,
% 19.86/20.16 (((~![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(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))))),
% 19.86/20.16 inference(monotonicity,[status(thm)],[6625])).
% 19.86/20.16 tff(6627,plain,
% 19.86/20.16 (((~![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(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)))),
% 19.86/20.16 inference(transitivity,[status(thm)],[6626, 6624])).
% 19.86/20.16 tff(6628,plain,
% 19.86/20.16 ((~![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(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))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6629,plain,
% 19.86/20.16 ((~![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(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))),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 19.86/20.16 tff(6630,plain,
% 19.86/20.16 ((~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)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6629, 965, 6623])).
% 19.86/20.16 tff(6631,plain,
% 19.86/20.16 (m_main_v_state1(s78, c_c1)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6630, 6612, 6536, 6604, 6597, 6544])).
% 19.86/20.16 tff(6632,plain,
% 19.86/20.16 (((~![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)))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6633,plain,
% 19.86/20.16 ((~![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)))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6634,plain,
% 19.86/20.16 ((~![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))),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 19.86/20.16 tff(6635,plain,
% 19.86/20.16 (~m_main_v_state1(s78, c_t1)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6634, 289, 6631])).
% 19.86/20.16 tff(6636,plain,
% 19.86/20.16 (((~![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)))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6637,plain,
% 19.86/20.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6638,plain,
% 19.86/20.16 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 19.86/20.16 tff(6639,plain,
% 19.86/20.16 (~node5(s78)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6638, 300, 6635])).
% 19.86/20.16 tff(6640,plain,
% 19.86/20.16 (((~![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))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6641,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 19.86/20.16 inference(quant_inst,[status(thm)],[])).
% 19.86/20.16 tff(6642,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 19.86/20.16 inference(modus_ponens,[status(thm)],[6641, 6640])).
% 19.86/20.16 tff(6643,plain,
% 19.86/20.16 (node14(s77, s78)),
% 19.86/20.16 inference(unit_resolution,[status(thm)],[6642, 130, 6619])).
% 19.86/20.16 tff(6644,plain,
% 19.86/20.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 19.86/20.16 inference(rewrite,[status(thm)],[])).
% 19.86/20.16 tff(6645,plain,
% 19.86/20.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 19.94/20.16 inference(quant_inst,[status(thm)],[])).
% 19.94/20.16 tff(6646,plain,
% 19.94/20.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 19.94/20.16 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 19.94/20.16 tff(6647,plain,
% 19.94/20.16 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6646, 893, 6643])).
% 19.94/20.16 tff(6648,plain,
% 19.94/20.16 (m_main_v_state2(s78, c_t2)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6647, 6604, 6536])).
% 19.94/20.16 tff(6649,plain,
% 19.94/20.16 (((~![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)))),
% 19.94/20.16 inference(rewrite,[status(thm)],[])).
% 19.94/20.16 tff(6650,plain,
% 19.94/20.16 ((~![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)))),
% 19.94/20.16 inference(quant_inst,[status(thm)],[])).
% 19.94/20.16 tff(6651,plain,
% 19.94/20.16 ((~![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))),
% 19.94/20.16 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 19.94/20.16 tff(6652,plain,
% 19.94/20.16 (~m_main_v_state2(s78, c_n2)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6651, 10, 6648])).
% 19.94/20.16 tff(6653,plain,
% 19.94/20.16 (((~![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)))),
% 19.94/20.16 inference(rewrite,[status(thm)],[])).
% 19.94/20.16 tff(6654,plain,
% 19.94/20.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 19.94/20.16 inference(quant_inst,[status(thm)],[])).
% 19.94/20.16 tff(6655,plain,
% 19.94/20.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 19.94/20.16 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 19.94/20.16 tff(6656,plain,
% 19.94/20.16 (~node4(s78)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6655, 162, 6652])).
% 19.94/20.16 tff(6657,plain,
% 19.94/20.16 (((~![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)))),
% 19.94/20.16 inference(rewrite,[status(thm)],[])).
% 19.94/20.16 tff(6658,plain,
% 19.94/20.16 ((~![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)))),
% 19.94/20.16 inference(quant_inst,[status(thm)],[])).
% 19.94/20.16 tff(6659,plain,
% 19.94/20.16 ((~![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))),
% 19.94/20.16 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 19.94/20.16 tff(6660,plain,
% 19.94/20.16 (~m_main_v_state2(s78, c_c2)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6659, 173, 6648])).
% 19.94/20.16 tff(6661,plain,
% 19.94/20.16 (((~![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)))),
% 19.94/20.16 inference(rewrite,[status(thm)],[])).
% 19.94/20.16 tff(6662,plain,
% 19.94/20.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 19.94/20.16 inference(quant_inst,[status(thm)],[])).
% 19.94/20.16 tff(6663,plain,
% 19.94/20.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 19.94/20.16 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 19.94/20.16 tff(6664,plain,
% 19.94/20.16 (~node3(s78)),
% 19.94/20.16 inference(unit_resolution,[status(thm)],[6663, 184, 6660])).
% 19.94/20.16 tff(6665,plain,
% 19.94/20.16 (((~![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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6666,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6667,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 19.94/20.17 tff(6668,plain,
% 19.94/20.17 (~node2(s78)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6667, 195, 6652])).
% 19.94/20.17 tff(6669,plain,
% 19.94/20.17 (((~![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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6670,plain,
% 19.94/20.17 ((~![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)))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6671,plain,
% 19.94/20.17 ((~![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))),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 19.94/20.17 tff(6672,plain,
% 19.94/20.17 (~m_main_v_state1(s78, c_n1)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6671, 449, 6631])).
% 19.94/20.17 tff(6673,plain,
% 19.94/20.17 (((~![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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6674,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6675,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 19.94/20.17 tff(6676,plain,
% 19.94/20.17 (~node1(s78)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6675, 249, 6672])).
% 19.94/20.17 tff(6677,plain,
% 19.94/20.17 (succ(s78, s79) <=> succ(s78, s79)),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6678,axiom,(succ(s78, s79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound79')).
% 19.94/20.17 tff(6679,plain,
% 19.94/20.17 (succ(s78, s79)),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 19.94/20.17 tff(6680,plain,
% 19.94/20.17 (((~![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))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6681,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6682,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 19.94/20.17 tff(6683,plain,
% 19.94/20.17 (trans(s78, s79)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6682, 6679, 57])).
% 19.94/20.17 tff(6684,plain,
% 19.94/20.17 (((~![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))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6685,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6686,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 19.94/20.17 tff(6687,plain,
% 19.94/20.17 (node7(s78, s79)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6686, 217, 6683])).
% 19.94/20.17 tff(6688,plain,
% 19.94/20.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6689,plain,
% 19.94/20.17 (((~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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6690,plain,
% 19.94/20.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 19.94/20.17 inference(monotonicity,[status(thm)],[6689])).
% 19.94/20.17 tff(6691,plain,
% 19.94/20.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 19.94/20.17 inference(transitivity,[status(thm)],[6690, 6688])).
% 19.94/20.17 tff(6692,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6693,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6692, 6691])).
% 19.94/20.17 tff(6694,plain,
% 19.94/20.17 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6693, 478, 6687])).
% 19.94/20.17 tff(6695,plain,
% 19.94/20.17 (m_main_v_state1(s79, c_n1)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6694, 6676, 6631, 6668, 6664, 6656, 6639])).
% 19.94/20.17 tff(6696,plain,
% 19.94/20.17 (((~![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)))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6697,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6698,plain,
% 19.94/20.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 19.94/20.17 tff(6699,plain,
% 19.94/20.17 (~node15(s77)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6698, 21, 6608])).
% 19.94/20.17 tff(6700,plain,
% 19.94/20.17 (((~![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))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6701,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 19.94/20.17 inference(quant_inst,[status(thm)],[])).
% 19.94/20.17 tff(6702,plain,
% 19.94/20.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 19.94/20.17 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 19.94/20.17 tff(6703,plain,
% 19.94/20.17 (node18(s77, s78)),
% 19.94/20.17 inference(unit_resolution,[status(thm)],[6702, 71, 6619])).
% 19.94/20.17 tff(6704,plain,
% 19.94/20.17 (((~![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(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))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6705,plain,
% 19.94/20.17 (((~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))),
% 19.94/20.17 inference(rewrite,[status(thm)],[])).
% 19.94/20.17 tff(6706,plain,
% 19.94/20.17 (((~![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(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)))),
% 19.94/20.18 inference(monotonicity,[status(thm)],[6705])).
% 19.94/20.18 tff(6707,plain,
% 19.94/20.18 (((~![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(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))),
% 19.94/20.18 inference(transitivity,[status(thm)],[6706, 6704])).
% 19.94/20.18 tff(6708,plain,
% 19.94/20.18 ((~![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(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 19.94/20.18 inference(quant_inst,[status(thm)],[])).
% 19.94/20.18 tff(6709,plain,
% 19.94/20.18 ((~![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(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)),
% 19.94/20.18 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 19.94/20.18 tff(6710,plain,
% 19.94/20.18 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 19.94/20.18 inference(unit_resolution,[status(thm)],[6709, 863, 6703])).
% 19.94/20.18 tff(6711,plain,
% 19.94/20.18 (m_main_v_turn(s78, c_1)),
% 19.94/20.18 inference(unit_resolution,[status(thm)],[6710, 6699, 6536, 6604])).
% 19.94/20.18 tff(6712,plain,
% 19.94/20.18 (((~![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)))),
% 19.94/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6713,plain,
% 19.95/20.18 ((~![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)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6714,plain,
% 19.95/20.18 ((~![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))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 19.95/20.18 tff(6715,plain,
% 19.95/20.18 (~m_main_v_turn(s78, c_2)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6714, 322, 6711])).
% 19.95/20.18 tff(6716,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6717,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6718,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6717, 6716])).
% 19.95/20.18 tff(6719,plain,
% 19.95/20.18 (~node12(s78)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6718, 350, 6715])).
% 19.95/20.18 tff(6720,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6721,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6722,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6721, 6720])).
% 19.95/20.18 tff(6723,plain,
% 19.95/20.18 (~node8(s78)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6722, 383, 6652])).
% 19.95/20.18 tff(6724,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6725,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6726,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6725, 6724])).
% 19.95/20.18 tff(6727,plain,
% 19.95/20.18 (~node9(s78)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6726, 311, 6652])).
% 19.95/20.18 tff(6728,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6729,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6730,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 19.95/20.18 tff(6731,plain,
% 19.95/20.18 (~node10(s78)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6730, 372, 6652])).
% 19.95/20.18 tff(6732,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6733,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6734,plain,
% 19.95/20.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 19.95/20.18 tff(6735,plain,
% 19.95/20.18 (~node11(s78)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6734, 361, 6672])).
% 19.95/20.18 tff(6736,plain,
% 19.95/20.18 (((~![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))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6737,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6738,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 19.95/20.18 tff(6739,plain,
% 19.95/20.18 (node14(s78, s79)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6738, 130, 6683])).
% 19.95/20.18 tff(6740,plain,
% 19.95/20.18 (((~![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(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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6741,plain,
% 19.95/20.18 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6742,plain,
% 19.95/20.18 ((~![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(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 19.95/20.18 tff(6743,plain,
% 19.95/20.18 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6742, 401, 6739])).
% 19.95/20.18 tff(6744,plain,
% 19.95/20.18 (node13(s78, s79)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6743, 6735, 6660, 6731, 6727, 6723, 6719])).
% 19.95/20.18 tff(6745,plain,
% 19.95/20.18 (((~![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(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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6746,plain,
% 19.95/20.18 (((~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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6747,plain,
% 19.95/20.18 (((~![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))))),
% 19.95/20.18 inference(monotonicity,[status(thm)],[6746])).
% 19.95/20.18 tff(6748,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(transitivity,[status(thm)],[6747, 6745])).
% 19.95/20.18 tff(6749,plain,
% 19.95/20.18 ((~![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))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6750,plain,
% 19.95/20.18 ((~![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(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6749, 6748])).
% 19.95/20.18 tff(6751,plain,
% 19.95/20.18 (m_main_v_state2(s79, c_t2)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6750, 563, 6648, 6744])).
% 19.95/20.18 tff(6752,plain,
% 19.95/20.18 (succ(s79, s80) <=> succ(s79, s80)),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6753,axiom,(succ(s79, s80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound80')).
% 19.95/20.18 tff(6754,plain,
% 19.95/20.18 (succ(s79, s80)),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 19.95/20.18 tff(6755,plain,
% 19.95/20.18 (((~![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))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6756,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6757,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 19.95/20.18 tff(6758,plain,
% 19.95/20.18 (trans(s79, s80)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6757, 6754, 57])).
% 19.95/20.18 tff(6759,plain,
% 19.95/20.18 (((~![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))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6760,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6761,plain,
% 19.95/20.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6760, 6759])).
% 19.95/20.18 tff(6762,plain,
% 19.95/20.18 (node7(s79, s80)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6761, 217, 6758])).
% 19.95/20.18 tff(6763,plain,
% 19.95/20.18 (((~![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(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))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6764,plain,
% 19.95/20.18 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 19.95/20.18 inference(quant_inst,[status(thm)],[])).
% 19.95/20.18 tff(6765,plain,
% 19.95/20.18 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1)),
% 19.95/20.18 inference(modus_ponens,[status(thm)],[6764, 6763])).
% 19.95/20.18 tff(6766,plain,
% 19.95/20.18 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6765, 598, 6762])).
% 19.95/20.18 tff(6767,plain,
% 19.95/20.18 (m_main_v_state1(s80, c_t1)),
% 19.95/20.18 inference(unit_resolution,[status(thm)],[6766, 6751, 6695])).
% 19.95/20.18 tff(6768,plain,
% 19.95/20.18 (((~![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)))),
% 19.95/20.18 inference(rewrite,[status(thm)],[])).
% 19.95/20.18 tff(6769,plain,
% 19.95/20.18 ((~![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)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6770,plain,
% 19.95/20.19 ((~![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))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6769, 6768])).
% 19.95/20.19 tff(6771,plain,
% 19.95/20.19 (~m_main_v_state1(s80, c_n1)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6770, 35, 6767])).
% 19.95/20.19 tff(6772,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6773,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6774,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 19.95/20.19 tff(6775,plain,
% 19.95/20.19 (~node1(s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6774, 249, 6771])).
% 19.95/20.19 tff(6776,plain,
% 19.95/20.19 (((~![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))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6777,plain,
% 19.95/20.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6778,plain,
% 19.95/20.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 19.95/20.19 tff(6779,plain,
% 19.95/20.19 (node18(s79, s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6778, 71, 6758])).
% 19.95/20.19 tff(6780,plain,
% 19.95/20.19 (((~![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(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))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6781,plain,
% 19.95/20.19 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6782,plain,
% 19.95/20.19 ((~![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(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 19.95/20.19 tff(6783,plain,
% 19.95/20.19 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6782, 625, 6779])).
% 19.95/20.19 tff(6784,plain,
% 19.95/20.19 (m_main_v_turn(s80, c_2)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6783, 6751, 6695])).
% 19.95/20.19 tff(6785,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6786,plain,
% 19.95/20.19 ((~![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)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6787,plain,
% 19.95/20.19 ((~![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))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 19.95/20.19 tff(6788,plain,
% 19.95/20.19 (~m_main_v_turn(s80, c_1)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6787, 322, 6784])).
% 19.95/20.19 tff(6789,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6790,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6791,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 19.95/20.19 tff(6792,plain,
% 19.95/20.19 (~node5(s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6791, 641, 6788])).
% 19.95/20.19 tff(6793,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6794,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6795,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 19.95/20.19 tff(6796,plain,
% 19.95/20.19 (~node2(s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6795, 652, 6771])).
% 19.95/20.19 tff(6797,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6798,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6799,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 19.95/20.19 tff(6800,plain,
% 19.95/20.19 (~node3(s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6799, 663, 6771])).
% 19.95/20.19 tff(6801,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6802,plain,
% 19.95/20.19 ((~![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)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6803,plain,
% 19.95/20.19 ((~![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))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 19.95/20.19 tff(6804,plain,
% 19.95/20.19 (~m_main_v_state1(s80, c_c1)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6803, 289, 6767])).
% 19.95/20.19 tff(6805,plain,
% 19.95/20.19 (((~![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(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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6806,plain,
% 19.95/20.19 (((~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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6807,plain,
% 19.95/20.19 (((~![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))))),
% 19.95/20.19 inference(monotonicity,[status(thm)],[6806])).
% 19.95/20.19 tff(6808,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(transitivity,[status(thm)],[6807, 6805])).
% 19.95/20.19 tff(6809,plain,
% 19.95/20.19 ((~![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)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6810,plain,
% 19.95/20.19 ((~![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(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 19.95/20.19 tff(6811,plain,
% 19.95/20.19 (~m_main_v_state2(s79, c_n2)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6810, 416, 6652, 6744])).
% 19.95/20.19 tff(6812,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6813,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6814,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 19.95/20.19 tff(6815,plain,
% 19.95/20.19 (~node9(s79)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6814, 311, 6811])).
% 19.95/20.19 tff(6816,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6817,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6818,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 19.95/20.19 tff(6819,plain,
% 19.95/20.19 (~node10(s79)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6818, 372, 6811])).
% 19.95/20.19 tff(6820,plain,
% 19.95/20.19 (((~![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)))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6821,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6822,plain,
% 19.95/20.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 19.95/20.19 tff(6823,plain,
% 19.95/20.19 (~node8(s79)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6822, 383, 6811])).
% 19.95/20.19 tff(6824,plain,
% 19.95/20.19 (((~![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))),
% 19.95/20.19 inference(rewrite,[status(thm)],[])).
% 19.95/20.19 tff(6825,plain,
% 19.95/20.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 19.95/20.19 inference(quant_inst,[status(thm)],[])).
% 19.95/20.19 tff(6826,plain,
% 19.95/20.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 19.95/20.19 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 19.95/20.19 tff(6827,plain,
% 19.95/20.19 (node14(s79, s80)),
% 19.95/20.19 inference(unit_resolution,[status(thm)],[6826, 130, 6758])).
% 19.95/20.20 tff(6828,plain,
% 19.95/20.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6829,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6830,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 19.95/20.20 tff(6831,plain,
% 19.95/20.20 ((~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)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6830, 704, 6827])).
% 19.95/20.20 tff(6832,plain,
% 19.95/20.20 (m_main_v_state2(s80, c_c2)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6831, 6823, 6695, 6751, 6819, 6815])).
% 19.95/20.20 tff(6833,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6834,plain,
% 19.95/20.20 ((~![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)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6835,plain,
% 19.95/20.20 ((~![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))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 19.95/20.20 tff(6836,plain,
% 19.95/20.20 (~m_main_v_state2(s80, c_n2)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6835, 716, 6832])).
% 19.95/20.20 tff(6837,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6838,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6839,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 19.95/20.20 tff(6840,plain,
% 19.95/20.20 (~node4(s80)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6839, 162, 6836])).
% 19.95/20.20 tff(6841,plain,
% 19.95/20.20 (succ(s80, s81) <=> succ(s80, s81)),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6842,axiom,(succ(s80, s81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound81')).
% 19.95/20.20 tff(6843,plain,
% 19.95/20.20 (succ(s80, s81)),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 19.95/20.20 tff(6844,plain,
% 19.95/20.20 (((~![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))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6845,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6846,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 19.95/20.20 tff(6847,plain,
% 19.95/20.20 (trans(s80, s81)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6846, 6843, 57])).
% 19.95/20.20 tff(6848,plain,
% 19.95/20.20 (((~![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))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6849,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6850,plain,
% 19.95/20.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6849, 6848])).
% 19.95/20.20 tff(6851,plain,
% 19.95/20.20 (node7(s80, s81)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6850, 217, 6847])).
% 19.95/20.20 tff(6852,plain,
% 19.95/20.20 (((~![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(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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6853,plain,
% 19.95/20.20 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6854,plain,
% 19.95/20.20 ((~![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(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 19.95/20.20 tff(6855,plain,
% 19.95/20.20 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6854, 745, 6851])).
% 19.95/20.20 tff(6856,plain,
% 19.95/20.20 (node6(s80, s81)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6855, 6840, 6804, 6800, 6796, 6792, 6775])).
% 19.95/20.20 tff(6857,plain,
% 19.95/20.20 (((~![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(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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6858,plain,
% 19.95/20.20 (((~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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6859,plain,
% 19.95/20.20 (((~![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))))),
% 19.95/20.20 inference(monotonicity,[status(thm)],[6858])).
% 19.95/20.20 tff(6860,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(transitivity,[status(thm)],[6859, 6857])).
% 19.95/20.20 tff(6861,plain,
% 19.95/20.20 ((~![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))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6862,plain,
% 19.95/20.20 ((~![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(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 19.95/20.20 tff(6863,plain,
% 19.95/20.20 (m_main_v_state1(s81, c_t1)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6862, 760, 6767, 6856])).
% 19.95/20.20 tff(6864,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6865,plain,
% 19.95/20.20 ((~![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)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6866,plain,
% 19.95/20.20 ((~![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))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6865, 6864])).
% 19.95/20.20 tff(6867,plain,
% 19.95/20.20 (~m_main_v_state2(s80, c_t2)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6866, 173, 6832])).
% 19.95/20.20 tff(6868,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6869,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6870,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 19.95/20.20 tff(6871,plain,
% 19.95/20.20 (~node12(s80)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6870, 778, 6867])).
% 19.95/20.20 tff(6872,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6873,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6874,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 19.95/20.20 tff(6875,plain,
% 19.95/20.20 (~node11(s80)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6874, 361, 6771])).
% 19.95/20.20 tff(6876,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.20 inference(rewrite,[status(thm)],[])).
% 19.95/20.20 tff(6877,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 19.95/20.20 inference(quant_inst,[status(thm)],[])).
% 19.95/20.20 tff(6878,plain,
% 19.95/20.20 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 19.95/20.20 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 19.95/20.20 tff(6879,plain,
% 19.95/20.20 (~node10(s80)),
% 19.95/20.20 inference(unit_resolution,[status(thm)],[6878, 793, 6804])).
% 19.95/20.20 tff(6880,plain,
% 19.95/20.20 (((~![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)))),
% 19.95/20.21 inference(rewrite,[status(thm)],[])).
% 19.95/20.21 tff(6881,plain,
% 19.95/20.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 19.95/20.21 inference(quant_inst,[status(thm)],[])).
% 19.95/20.21 tff(6882,plain,
% 19.95/20.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 19.95/20.21 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 19.95/20.21 tff(6883,plain,
% 19.95/20.21 (~node9(s80)),
% 19.95/20.21 inference(unit_resolution,[status(thm)],[6882, 804, 6771])).
% 19.95/20.21 tff(6884,plain,
% 19.95/20.21 (((~![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)))),
% 19.95/20.21 inference(rewrite,[status(thm)],[])).
% 19.95/20.21 tff(6885,plain,
% 19.95/20.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 19.95/20.21 inference(quant_inst,[status(thm)],[])).
% 19.95/20.21 tff(6886,plain,
% 19.95/20.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 19.95/20.21 inference(modus_ponens,[status(thm)],[6885, 6884])).
% 19.95/20.21 tff(6887,plain,
% 19.95/20.21 (~node8(s80)),
% 19.95/20.21 inference(unit_resolution,[status(thm)],[6886, 383, 6836])).
% 19.95/20.21 tff(6888,plain,
% 19.95/20.21 (((~![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))),
% 19.95/20.21 inference(rewrite,[status(thm)],[])).
% 19.95/20.21 tff(6889,plain,
% 19.95/20.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 19.95/20.21 inference(quant_inst,[status(thm)],[])).
% 19.95/20.21 tff(6890,plain,
% 19.95/20.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 19.95/20.21 inference(modus_ponens,[status(thm)],[6889, 6888])).
% 19.95/20.21 tff(6891,plain,
% 19.95/20.21 (node14(s80, s81)),
% 19.95/20.21 inference(unit_resolution,[status(thm)],[6890, 130, 6847])).
% 19.95/20.21 tff(6892,plain,
% 19.95/20.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 19.95/20.21 inference(rewrite,[status(thm)],[])).
% 19.95/20.21 tff(6893,plain,
% 19.95/20.21 (((~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)))),
% 19.95/20.21 inference(rewrite,[status(thm)],[])).
% 19.95/20.21 tff(6894,plain,
% 19.95/20.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 19.95/20.21 inference(monotonicity,[status(thm)],[6893])).
% 19.95/20.21 tff(6895,plain,
% 19.95/20.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 19.98/20.21 inference(transitivity,[status(thm)],[6894, 6892])).
% 19.98/20.21 tff(6896,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6897,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 19.98/20.21 tff(6898,plain,
% 19.98/20.21 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6897, 826, 6891])).
% 19.98/20.21 tff(6899,plain,
% 19.98/20.21 (m_main_v_state2(s81, c_n2)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6898, 6887, 6832, 6883, 6879, 6875, 6871])).
% 19.98/20.21 tff(6900,plain,
% 19.98/20.21 (((~![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)))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6901,plain,
% 19.98/20.21 ((~![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)))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6902,plain,
% 19.98/20.21 ((~![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))),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 19.98/20.21 tff(6903,plain,
% 19.98/20.21 (~m_main_v_state2(s81, c_t2)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6902, 10, 6899])).
% 19.98/20.21 tff(6904,plain,
% 19.98/20.21 (((~![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)))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6905,plain,
% 19.98/20.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6906,plain,
% 19.98/20.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 19.98/20.21 tff(6907,plain,
% 19.98/20.21 (~node15(s81)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6906, 21, 6903])).
% 19.98/20.21 tff(6908,plain,
% 19.98/20.21 (succ(s81, s82) <=> succ(s81, s82)),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6909,axiom,(succ(s81, s82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound82')).
% 19.98/20.21 tff(6910,plain,
% 19.98/20.21 (succ(s81, s82)),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 19.98/20.21 tff(6911,plain,
% 19.98/20.21 (((~![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))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6912,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6913,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 19.98/20.21 tff(6914,plain,
% 19.98/20.21 (trans(s81, s82)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6913, 6910, 57])).
% 19.98/20.21 tff(6915,plain,
% 19.98/20.21 (((~![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))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6916,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6917,plain,
% 19.98/20.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 19.98/20.21 tff(6918,plain,
% 19.98/20.21 (node18(s81, s82)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6917, 71, 6914])).
% 19.98/20.21 tff(6919,plain,
% 19.98/20.21 (((~![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(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))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6920,plain,
% 19.98/20.21 (((~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))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6921,plain,
% 19.98/20.21 (((~![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(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)))),
% 19.98/20.21 inference(monotonicity,[status(thm)],[6920])).
% 19.98/20.21 tff(6922,plain,
% 19.98/20.21 (((~![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(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))),
% 19.98/20.21 inference(transitivity,[status(thm)],[6921, 6919])).
% 19.98/20.21 tff(6923,plain,
% 19.98/20.21 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))),
% 19.98/20.21 inference(quant_inst,[status(thm)],[])).
% 19.98/20.21 tff(6924,plain,
% 19.98/20.21 ((~![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(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)),
% 19.98/20.21 inference(modus_ponens,[status(thm)],[6923, 6922])).
% 19.98/20.21 tff(6925,plain,
% 19.98/20.21 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6924, 863, 6918])).
% 19.98/20.21 tff(6926,plain,
% 19.98/20.21 (m_main_v_turn(s82, c_1)),
% 19.98/20.21 inference(unit_resolution,[status(thm)],[6925, 6907, 6899, 6863])).
% 19.98/20.21 tff(6927,plain,
% 19.98/20.21 (((~![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)))),
% 19.98/20.21 inference(rewrite,[status(thm)],[])).
% 19.98/20.21 tff(6928,plain,
% 19.98/20.21 ((~![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)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6929,plain,
% 19.98/20.22 ((~![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))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 19.98/20.22 tff(6930,plain,
% 19.98/20.22 (~m_main_v_turn(s82, c_2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6929, 322, 6926])).
% 19.98/20.22 tff(6931,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6932,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6933,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6932, 6931])).
% 19.98/20.22 tff(6934,plain,
% 19.98/20.22 (~node12(s82)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6933, 350, 6930])).
% 19.98/20.22 tff(6935,plain,
% 19.98/20.22 (((~![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))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6936,plain,
% 19.98/20.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6937,plain,
% 19.98/20.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 19.98/20.22 tff(6938,plain,
% 19.98/20.22 (node14(s81, s82)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6937, 130, 6914])).
% 19.98/20.22 tff(6939,plain,
% 19.98/20.22 (((~![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(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))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6940,plain,
% 19.98/20.22 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6941,plain,
% 19.98/20.22 ((~![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(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2)),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6940, 6939])).
% 19.98/20.22 tff(6942,plain,
% 19.98/20.22 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6941, 893, 6938])).
% 19.98/20.22 tff(6943,plain,
% 19.98/20.22 (m_main_v_state2(s82, c_t2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6942, 6863, 6899])).
% 19.98/20.22 tff(6944,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6945,plain,
% 19.98/20.22 ((~![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)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6946,plain,
% 19.98/20.22 ((~![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))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 19.98/20.22 tff(6947,plain,
% 19.98/20.22 (~m_main_v_state2(s82, c_n2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6946, 10, 6943])).
% 19.98/20.22 tff(6948,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6949,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6950,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 19.98/20.22 tff(6951,plain,
% 19.98/20.22 (~node8(s82)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6950, 383, 6947])).
% 19.98/20.22 tff(6952,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6953,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6954,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6953, 6952])).
% 19.98/20.22 tff(6955,plain,
% 19.98/20.22 (~node9(s82)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6954, 311, 6947])).
% 19.98/20.22 tff(6956,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6957,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6958,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 19.98/20.22 tff(6959,plain,
% 19.98/20.22 (~node10(s82)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6958, 372, 6947])).
% 19.98/20.22 tff(6960,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6961,plain,
% 19.98/20.22 ((~![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)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6962,plain,
% 19.98/20.22 ((~![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))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6961, 6960])).
% 19.98/20.22 tff(6963,plain,
% 19.98/20.22 (~m_main_v_state2(s82, c_c2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6962, 173, 6943])).
% 19.98/20.22 tff(6964,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6965,plain,
% 19.98/20.22 ((~![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)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6966,plain,
% 19.98/20.22 ((~![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))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6965, 6964])).
% 19.98/20.22 tff(6967,plain,
% 19.98/20.22 (~m_main_v_state2(s81, c_c2)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6966, 716, 6899])).
% 19.98/20.22 tff(6968,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6969,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6970,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 19.98/20.22 tff(6971,plain,
% 19.98/20.22 (~node3(s81)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6970, 184, 6967])).
% 19.98/20.22 tff(6972,plain,
% 19.98/20.22 (((~![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(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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6973,plain,
% 19.98/20.22 (((~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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6974,plain,
% 19.98/20.22 (((~![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))))),
% 19.98/20.22 inference(monotonicity,[status(thm)],[6973])).
% 19.98/20.22 tff(6975,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(transitivity,[status(thm)],[6974, 6972])).
% 19.98/20.22 tff(6976,plain,
% 19.98/20.22 ((~![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)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6977,plain,
% 19.98/20.22 ((~![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(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 19.98/20.22 tff(6978,plain,
% 19.98/20.22 (~m_main_v_state1(s81, c_n1)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6977, 936, 6771, 6856])).
% 19.98/20.22 tff(6979,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6980,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.22 tff(6981,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 19.98/20.22 inference(modus_ponens,[status(thm)],[6980, 6979])).
% 19.98/20.22 tff(6982,plain,
% 19.98/20.22 (~node2(s81)),
% 19.98/20.22 inference(unit_resolution,[status(thm)],[6981, 652, 6978])).
% 19.98/20.22 tff(6983,plain,
% 19.98/20.22 (((~![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)))),
% 19.98/20.22 inference(rewrite,[status(thm)],[])).
% 19.98/20.22 tff(6984,plain,
% 19.98/20.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 19.98/20.22 inference(quant_inst,[status(thm)],[])).
% 19.98/20.23 tff(6985,plain,
% 19.98/20.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 19.98/20.23 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 19.98/20.23 tff(6986,plain,
% 19.98/20.23 (~node1(s81)),
% 19.98/20.23 inference(unit_resolution,[status(thm)],[6985, 206, 6903])).
% 19.98/20.23 tff(6987,plain,
% 19.98/20.23 (((~![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))),
% 19.98/20.23 inference(rewrite,[status(thm)],[])).
% 19.98/20.23 tff(6988,plain,
% 19.98/20.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 19.98/20.23 inference(quant_inst,[status(thm)],[])).
% 19.98/20.23 tff(6989,plain,
% 19.98/20.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 19.98/20.23 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 19.98/20.23 tff(6990,plain,
% 19.98/20.23 (node7(s81, s82)),
% 19.98/20.23 inference(unit_resolution,[status(thm)],[6989, 217, 6914])).
% 19.98/20.23 tff(6991,plain,
% 19.98/20.23 (((~![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(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)))),
% 19.98/20.23 inference(rewrite,[status(thm)],[])).
% 19.98/20.23 tff(6992,plain,
% 19.98/20.23 (((~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)))),
% 19.98/20.23 inference(rewrite,[status(thm)],[])).
% 19.98/20.23 tff(6993,plain,
% 19.98/20.23 (((~![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(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))))),
% 19.98/20.23 inference(monotonicity,[status(thm)],[6992])).
% 19.98/20.23 tff(6994,plain,
% 19.98/20.23 (((~![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(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)))),
% 19.98/20.23 inference(transitivity,[status(thm)],[6993, 6991])).
% 19.98/20.23 tff(6995,plain,
% 19.98/20.23 ((~![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(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))),
% 19.98/20.23 inference(quant_inst,[status(thm)],[])).
% 19.98/20.23 tff(6996,plain,
% 19.98/20.23 ((~![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(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))),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 20.00/20.23 tff(6997,plain,
% 20.00/20.23 ((~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)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[6996, 965, 6990])).
% 20.00/20.23 tff(6998,plain,
% 20.00/20.23 (m_main_v_state1(s82, c_c1)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[6997, 6986, 6899, 6863, 6982, 6971])).
% 20.00/20.23 tff(6999,plain,
% 20.00/20.23 (((~![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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7000,plain,
% 20.00/20.23 ((~![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)))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7001,plain,
% 20.00/20.23 ((~![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))),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 20.00/20.23 tff(7002,plain,
% 20.00/20.23 (~m_main_v_state1(s82, c_n1)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7001, 449, 6998])).
% 20.00/20.23 tff(7003,plain,
% 20.00/20.23 (((~![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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7004,plain,
% 20.00/20.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7005,plain,
% 20.00/20.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 20.00/20.23 tff(7006,plain,
% 20.00/20.23 (~node11(s82)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7005, 361, 7002])).
% 20.00/20.23 tff(7007,plain,
% 20.00/20.23 (succ(s82, s83) <=> succ(s82, s83)),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7008,axiom,(succ(s82, s83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound83')).
% 20.00/20.23 tff(7009,plain,
% 20.00/20.23 (succ(s82, s83)),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 20.00/20.23 tff(7010,plain,
% 20.00/20.23 (((~![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))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7011,plain,
% 20.00/20.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7012,plain,
% 20.00/20.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 20.00/20.23 tff(7013,plain,
% 20.00/20.23 (trans(s82, s83)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7012, 7009, 57])).
% 20.00/20.23 tff(7014,plain,
% 20.00/20.23 (((~![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))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7015,plain,
% 20.00/20.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7016,plain,
% 20.00/20.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7015, 7014])).
% 20.00/20.23 tff(7017,plain,
% 20.00/20.23 (node14(s82, s83)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7016, 130, 7013])).
% 20.00/20.23 tff(7018,plain,
% 20.00/20.23 (((~![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(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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7019,plain,
% 20.00/20.23 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7020,plain,
% 20.00/20.23 ((~![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(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83))),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 20.00/20.23 tff(7021,plain,
% 20.00/20.23 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7020, 401, 7017])).
% 20.00/20.23 tff(7022,plain,
% 20.00/20.23 (node13(s82, s83)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7021, 7006, 6963, 6959, 6955, 6951, 6934])).
% 20.00/20.23 tff(7023,plain,
% 20.00/20.23 (((~![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(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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7024,plain,
% 20.00/20.23 (((~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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7025,plain,
% 20.00/20.23 (((~![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))))),
% 20.00/20.23 inference(monotonicity,[status(thm)],[7024])).
% 20.00/20.23 tff(7026,plain,
% 20.00/20.23 (((~![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)))),
% 20.00/20.23 inference(transitivity,[status(thm)],[7025, 7023])).
% 20.00/20.23 tff(7027,plain,
% 20.00/20.23 ((~![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)))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7028,plain,
% 20.00/20.23 ((~![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(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 20.00/20.23 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 20.00/20.23 tff(7029,plain,
% 20.00/20.23 (~m_main_v_state2(s83, c_n2)),
% 20.00/20.23 inference(unit_resolution,[status(thm)],[7028, 416, 6947, 7022])).
% 20.00/20.23 tff(7030,plain,
% 20.00/20.23 (((~![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)))),
% 20.00/20.23 inference(rewrite,[status(thm)],[])).
% 20.00/20.23 tff(7031,plain,
% 20.00/20.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 20.00/20.23 inference(quant_inst,[status(thm)],[])).
% 20.00/20.23 tff(7032,plain,
% 20.00/20.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7031, 7030])).
% 20.00/20.24 tff(7033,plain,
% 20.00/20.24 (~node9(s83)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7032, 311, 7029])).
% 20.00/20.24 tff(7034,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7035,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7036,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 20.00/20.24 tff(7037,plain,
% 20.00/20.24 (~node10(s83)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7036, 372, 7029])).
% 20.00/20.24 tff(7038,plain,
% 20.00/20.24 (((~![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(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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7039,plain,
% 20.00/20.24 (((~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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7040,plain,
% 20.00/20.24 (((~![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))))),
% 20.00/20.24 inference(monotonicity,[status(thm)],[7039])).
% 20.00/20.24 tff(7041,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(transitivity,[status(thm)],[7040, 7038])).
% 20.00/20.24 tff(7042,plain,
% 20.00/20.24 ((~![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))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7043,plain,
% 20.00/20.24 ((~![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(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7042, 7041])).
% 20.00/20.24 tff(7044,plain,
% 20.00/20.24 (m_main_v_state2(s83, c_t2)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7043, 563, 6943, 7022])).
% 20.00/20.24 tff(7045,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7046,plain,
% 20.00/20.24 ((~![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)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7047,plain,
% 20.00/20.24 ((~![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))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 20.00/20.24 tff(7048,plain,
% 20.00/20.24 (~m_main_v_state1(s82, c_t1)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7047, 289, 6998])).
% 20.00/20.24 tff(7049,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7050,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7051,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 20.00/20.24 tff(7052,plain,
% 20.00/20.24 (~node5(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7051, 300, 7048])).
% 20.00/20.24 tff(7053,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7054,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7055,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 20.00/20.24 tff(7056,plain,
% 20.00/20.24 (~node4(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7055, 162, 6947])).
% 20.00/20.24 tff(7057,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7058,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7059,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 20.00/20.24 tff(7060,plain,
% 20.00/20.24 (~node3(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7059, 184, 6963])).
% 20.00/20.24 tff(7061,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7062,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7063,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 20.00/20.24 tff(7064,plain,
% 20.00/20.24 (~node2(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7063, 195, 6947])).
% 20.00/20.24 tff(7065,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7066,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7067,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7066, 7065])).
% 20.00/20.24 tff(7068,plain,
% 20.00/20.24 (~node1(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7067, 249, 7002])).
% 20.00/20.24 tff(7069,plain,
% 20.00/20.24 (((~![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))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7070,plain,
% 20.00/20.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7071,plain,
% 20.00/20.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 20.00/20.24 tff(7072,plain,
% 20.00/20.24 (node7(s82, s83)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7071, 217, 7013])).
% 20.00/20.24 tff(7073,plain,
% 20.00/20.24 (((~![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(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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7074,plain,
% 20.00/20.24 (((~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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7075,plain,
% 20.00/20.24 (((~![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(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))))),
% 20.00/20.24 inference(monotonicity,[status(thm)],[7074])).
% 20.00/20.24 tff(7076,plain,
% 20.00/20.24 (((~![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(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)))),
% 20.00/20.24 inference(transitivity,[status(thm)],[7075, 7073])).
% 20.00/20.24 tff(7077,plain,
% 20.00/20.24 ((~![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(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.24 tff(7078,plain,
% 20.00/20.24 ((~![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(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))),
% 20.00/20.24 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 20.00/20.24 tff(7079,plain,
% 20.00/20.24 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7078, 478, 7072])).
% 20.00/20.24 tff(7080,plain,
% 20.00/20.24 (m_main_v_state1(s83, c_n1)),
% 20.00/20.24 inference(unit_resolution,[status(thm)],[7079, 7068, 6998, 7064, 7060, 7056, 7052])).
% 20.00/20.24 tff(7081,plain,
% 20.00/20.24 (((~![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)))),
% 20.00/20.24 inference(rewrite,[status(thm)],[])).
% 20.00/20.24 tff(7082,plain,
% 20.00/20.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 20.00/20.24 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7083,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 20.00/20.25 tff(7084,plain,
% 20.00/20.25 (~node8(s83)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7083, 383, 7029])).
% 20.00/20.25 tff(7085,plain,
% 20.00/20.25 (succ(s83, s84) <=> succ(s83, s84)),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7086,axiom,(succ(s83, s84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound84')).
% 20.00/20.25 tff(7087,plain,
% 20.00/20.25 (succ(s83, s84)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 20.00/20.25 tff(7088,plain,
% 20.00/20.25 (((~![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))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7089,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7090,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 20.00/20.25 tff(7091,plain,
% 20.00/20.25 (trans(s83, s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7090, 7087, 57])).
% 20.00/20.25 tff(7092,plain,
% 20.00/20.25 (((~![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))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7093,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7094,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 20.00/20.25 tff(7095,plain,
% 20.00/20.25 (node14(s83, s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7094, 130, 7091])).
% 20.00/20.25 tff(7096,plain,
% 20.00/20.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7097,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7098,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 20.00/20.25 tff(7099,plain,
% 20.00/20.25 ((~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)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7098, 704, 7095])).
% 20.00/20.25 tff(7100,plain,
% 20.00/20.25 (m_main_v_state2(s84, c_c2)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7099, 7084, 7080, 7044, 7037, 7033])).
% 20.00/20.25 tff(7101,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7102,plain,
% 20.00/20.25 ((~![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)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7103,plain,
% 20.00/20.25 ((~![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))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 20.00/20.25 tff(7104,plain,
% 20.00/20.25 (~m_main_v_state2(s84, c_t2)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7103, 173, 7100])).
% 20.00/20.25 tff(7105,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7106,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7107,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 20.00/20.25 tff(7108,plain,
% 20.00/20.25 (~node12(s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7107, 778, 7104])).
% 20.00/20.25 tff(7109,plain,
% 20.00/20.25 (((~![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))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7110,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7111,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7110, 7109])).
% 20.00/20.25 tff(7112,plain,
% 20.00/20.25 (node7(s83, s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7111, 217, 7091])).
% 20.00/20.25 tff(7113,plain,
% 20.00/20.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7114,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7115,plain,
% 20.00/20.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1)),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 20.00/20.25 tff(7116,plain,
% 20.00/20.25 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7115, 598, 7112])).
% 20.00/20.25 tff(7117,plain,
% 20.00/20.25 (m_main_v_state1(s84, c_t1)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7116, 7044, 7080])).
% 20.00/20.25 tff(7118,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7119,plain,
% 20.00/20.25 ((~![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)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7120,plain,
% 20.00/20.25 ((~![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))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 20.00/20.25 tff(7121,plain,
% 20.00/20.25 (~m_main_v_state1(s84, c_n1)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7120, 35, 7117])).
% 20.00/20.25 tff(7122,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7123,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7124,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 20.00/20.25 tff(7125,plain,
% 20.00/20.25 (~node11(s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7124, 361, 7121])).
% 20.00/20.25 tff(7126,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7127,plain,
% 20.00/20.25 ((~![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)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7128,plain,
% 20.00/20.25 ((~![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))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 20.00/20.25 tff(7129,plain,
% 20.00/20.25 (~m_main_v_state1(s84, c_c1)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7128, 289, 7117])).
% 20.00/20.25 tff(7130,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7131,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7132,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 20.00/20.25 tff(7133,plain,
% 20.00/20.25 (~node10(s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7132, 793, 7129])).
% 20.00/20.25 tff(7134,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7135,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7136,plain,
% 20.00/20.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 20.00/20.25 inference(modus_ponens,[status(thm)],[7135, 7134])).
% 20.00/20.25 tff(7137,plain,
% 20.00/20.25 (~node9(s84)),
% 20.00/20.25 inference(unit_resolution,[status(thm)],[7136, 804, 7121])).
% 20.00/20.25 tff(7138,plain,
% 20.00/20.25 (((~![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)))),
% 20.00/20.25 inference(rewrite,[status(thm)],[])).
% 20.00/20.25 tff(7139,plain,
% 20.00/20.25 ((~![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)))),
% 20.00/20.25 inference(quant_inst,[status(thm)],[])).
% 20.00/20.25 tff(7140,plain,
% 20.00/20.25 ((~![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))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 20.00/20.26 tff(7141,plain,
% 20.00/20.26 (~m_main_v_state2(s84, c_n2)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7140, 716, 7100])).
% 20.00/20.26 tff(7142,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7143,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7144,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7143, 7142])).
% 20.00/20.26 tff(7145,plain,
% 20.00/20.26 (~node8(s84)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7144, 383, 7141])).
% 20.00/20.26 tff(7146,plain,
% 20.00/20.26 (succ(s84, s85) <=> succ(s84, s85)),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7147,axiom,(succ(s84, s85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound85')).
% 20.00/20.26 tff(7148,plain,
% 20.00/20.26 (succ(s84, s85)),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 20.00/20.26 tff(7149,plain,
% 20.00/20.26 (((~![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))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7150,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7151,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 20.00/20.26 tff(7152,plain,
% 20.00/20.26 (trans(s84, s85)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7151, 7148, 57])).
% 20.00/20.26 tff(7153,plain,
% 20.00/20.26 (((~![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))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7154,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7155,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 20.00/20.26 tff(7156,plain,
% 20.00/20.26 (node14(s84, s85)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7155, 130, 7152])).
% 20.00/20.26 tff(7157,plain,
% 20.00/20.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7158,plain,
% 20.00/20.26 (((~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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7159,plain,
% 20.00/20.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.00/20.26 inference(monotonicity,[status(thm)],[7158])).
% 20.00/20.26 tff(7160,plain,
% 20.00/20.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.00/20.26 inference(transitivity,[status(thm)],[7159, 7157])).
% 20.00/20.26 tff(7161,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7162,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7161, 7160])).
% 20.00/20.26 tff(7163,plain,
% 20.00/20.26 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7162, 826, 7156])).
% 20.00/20.26 tff(7164,plain,
% 20.00/20.26 (m_main_v_state2(s85, c_n2)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7163, 7145, 7100, 7137, 7133, 7125, 7108])).
% 20.00/20.26 tff(7165,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7166,plain,
% 20.00/20.26 ((~![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)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7167,plain,
% 20.00/20.26 ((~![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))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7166, 7165])).
% 20.00/20.26 tff(7168,plain,
% 20.00/20.26 (~m_main_v_state2(s85, c_c2)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7167, 716, 7164])).
% 20.00/20.26 tff(7169,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7170,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7171,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 20.00/20.26 tff(7172,plain,
% 20.00/20.26 (~node3(s85)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7171, 184, 7168])).
% 20.00/20.26 tff(7173,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7174,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7175,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 20.00/20.26 tff(7176,plain,
% 20.00/20.26 (~node1(s84)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7175, 249, 7121])).
% 20.00/20.26 tff(7177,plain,
% 20.00/20.26 (((~![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))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7178,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7179,plain,
% 20.00/20.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 20.00/20.26 tff(7180,plain,
% 20.00/20.26 (node18(s83, s84)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7179, 71, 7091])).
% 20.00/20.26 tff(7181,plain,
% 20.00/20.26 (((~![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(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))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7182,plain,
% 20.00/20.26 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7183,plain,
% 20.00/20.26 ((~![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(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 20.00/20.26 tff(7184,plain,
% 20.00/20.26 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7183, 625, 7180])).
% 20.00/20.26 tff(7185,plain,
% 20.00/20.26 (m_main_v_turn(s84, c_2)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7184, 7044, 7080])).
% 20.00/20.26 tff(7186,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7187,plain,
% 20.00/20.26 ((~![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)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7188,plain,
% 20.00/20.26 ((~![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))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 20.00/20.26 tff(7189,plain,
% 20.00/20.26 (~m_main_v_turn(s84, c_1)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7188, 322, 7185])).
% 20.00/20.26 tff(7190,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.26 inference(rewrite,[status(thm)],[])).
% 20.00/20.26 tff(7191,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 20.00/20.26 inference(quant_inst,[status(thm)],[])).
% 20.00/20.26 tff(7192,plain,
% 20.00/20.26 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 20.00/20.26 inference(modus_ponens,[status(thm)],[7191, 7190])).
% 20.00/20.26 tff(7193,plain,
% 20.00/20.26 (~node5(s84)),
% 20.00/20.26 inference(unit_resolution,[status(thm)],[7192, 641, 7189])).
% 20.00/20.26 tff(7194,plain,
% 20.00/20.26 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7195,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7196,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 20.00/20.27 tff(7197,plain,
% 20.00/20.27 (~node2(s84)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7196, 652, 7121])).
% 20.00/20.27 tff(7198,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7199,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7200,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 20.00/20.27 tff(7201,plain,
% 20.00/20.27 (~node3(s84)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7200, 663, 7121])).
% 20.00/20.27 tff(7202,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7203,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7204,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 20.00/20.27 tff(7205,plain,
% 20.00/20.27 (~node4(s84)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7204, 162, 7141])).
% 20.00/20.27 tff(7206,plain,
% 20.00/20.27 (((~![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))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7207,plain,
% 20.00/20.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7208,plain,
% 20.00/20.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 20.00/20.27 tff(7209,plain,
% 20.00/20.27 (node7(s84, s85)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7208, 217, 7152])).
% 20.00/20.27 tff(7210,plain,
% 20.00/20.27 (((~![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(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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7211,plain,
% 20.00/20.27 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7212,plain,
% 20.00/20.27 ((~![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(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 20.00/20.27 tff(7213,plain,
% 20.00/20.27 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7212, 745, 7209])).
% 20.00/20.27 tff(7214,plain,
% 20.00/20.27 (node6(s84, s85)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7213, 7205, 7129, 7201, 7197, 7193, 7176])).
% 20.00/20.27 tff(7215,plain,
% 20.00/20.27 (((~![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(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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7216,plain,
% 20.00/20.27 (((~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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7217,plain,
% 20.00/20.27 (((~![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))))),
% 20.00/20.27 inference(monotonicity,[status(thm)],[7216])).
% 20.00/20.27 tff(7218,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(transitivity,[status(thm)],[7217, 7215])).
% 20.00/20.27 tff(7219,plain,
% 20.00/20.27 ((~![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)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7220,plain,
% 20.00/20.27 ((~![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(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 20.00/20.27 tff(7221,plain,
% 20.00/20.27 (~m_main_v_state1(s85, c_n1)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7220, 936, 7121, 7214])).
% 20.00/20.27 tff(7222,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7223,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7224,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 20.00/20.27 tff(7225,plain,
% 20.00/20.27 (~node2(s85)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7224, 652, 7221])).
% 20.00/20.27 tff(7226,plain,
% 20.00/20.27 (((~![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(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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7227,plain,
% 20.00/20.27 (((~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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7228,plain,
% 20.00/20.27 (((~![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))))),
% 20.00/20.27 inference(monotonicity,[status(thm)],[7227])).
% 20.00/20.27 tff(7229,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(transitivity,[status(thm)],[7228, 7226])).
% 20.00/20.27 tff(7230,plain,
% 20.00/20.27 ((~![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))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7231,plain,
% 20.00/20.27 ((~![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(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7230, 7229])).
% 20.00/20.27 tff(7232,plain,
% 20.00/20.27 (m_main_v_state1(s85, c_t1)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7231, 760, 7117, 7214])).
% 20.00/20.27 tff(7233,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7234,plain,
% 20.00/20.27 ((~![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)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7235,plain,
% 20.00/20.27 ((~![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))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 20.00/20.27 tff(7236,plain,
% 20.00/20.27 (~m_main_v_state2(s85, c_t2)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7235, 10, 7164])).
% 20.00/20.27 tff(7237,plain,
% 20.00/20.27 (((~![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)))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7238,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7239,plain,
% 20.00/20.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7238, 7237])).
% 20.00/20.27 tff(7240,plain,
% 20.00/20.27 (~node1(s85)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7239, 206, 7236])).
% 20.00/20.27 tff(7241,plain,
% 20.00/20.27 (succ(s85, s86) <=> succ(s85, s86)),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7242,axiom,(succ(s85, s86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound86')).
% 20.00/20.27 tff(7243,plain,
% 20.00/20.27 (succ(s85, s86)),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 20.00/20.27 tff(7244,plain,
% 20.00/20.27 (((~![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))),
% 20.00/20.27 inference(rewrite,[status(thm)],[])).
% 20.00/20.27 tff(7245,plain,
% 20.00/20.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 20.00/20.27 inference(quant_inst,[status(thm)],[])).
% 20.00/20.27 tff(7246,plain,
% 20.00/20.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 20.00/20.27 inference(modus_ponens,[status(thm)],[7245, 7244])).
% 20.00/20.27 tff(7247,plain,
% 20.00/20.27 (trans(s85, s86)),
% 20.00/20.27 inference(unit_resolution,[status(thm)],[7246, 7243, 57])).
% 20.00/20.27 tff(7248,plain,
% 20.00/20.27 (((~![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))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7249,plain,
% 20.00/20.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7250,plain,
% 20.00/20.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 20.00/20.28 tff(7251,plain,
% 20.00/20.28 (node7(s85, s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7250, 217, 7247])).
% 20.00/20.28 tff(7252,plain,
% 20.00/20.28 (((~![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(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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7253,plain,
% 20.00/20.28 (((~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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7254,plain,
% 20.00/20.28 (((~![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(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))))),
% 20.00/20.28 inference(monotonicity,[status(thm)],[7253])).
% 20.00/20.28 tff(7255,plain,
% 20.00/20.28 (((~![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(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)))),
% 20.00/20.28 inference(transitivity,[status(thm)],[7254, 7252])).
% 20.00/20.28 tff(7256,plain,
% 20.00/20.28 ((~![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(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))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7257,plain,
% 20.00/20.28 ((~![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(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))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 20.00/20.28 tff(7258,plain,
% 20.00/20.28 ((~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)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7257, 965, 7251])).
% 20.00/20.28 tff(7259,plain,
% 20.00/20.28 (m_main_v_state1(s86, c_c1)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7258, 7240, 7164, 7232, 7225, 7172])).
% 20.00/20.28 tff(7260,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7261,plain,
% 20.00/20.28 ((~![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)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7262,plain,
% 20.00/20.28 ((~![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))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 20.00/20.28 tff(7263,plain,
% 20.00/20.28 (~m_main_v_state1(s86, c_t1)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7262, 289, 7259])).
% 20.00/20.28 tff(7264,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7265,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7266,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7265, 7264])).
% 20.00/20.28 tff(7267,plain,
% 20.00/20.28 (~node5(s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7266, 300, 7263])).
% 20.00/20.28 tff(7268,plain,
% 20.00/20.28 (((~![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))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7269,plain,
% 20.00/20.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7270,plain,
% 20.00/20.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7269, 7268])).
% 20.00/20.28 tff(7271,plain,
% 20.00/20.28 (node14(s85, s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7270, 130, 7247])).
% 20.00/20.28 tff(7272,plain,
% 20.00/20.28 (((~![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(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))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7273,plain,
% 20.00/20.28 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7274,plain,
% 20.00/20.28 ((~![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(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2)),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7273, 7272])).
% 20.00/20.28 tff(7275,plain,
% 20.00/20.28 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7274, 893, 7271])).
% 20.00/20.28 tff(7276,plain,
% 20.00/20.28 (m_main_v_state2(s86, c_t2)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7275, 7232, 7164])).
% 20.00/20.28 tff(7277,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7278,plain,
% 20.00/20.28 ((~![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)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7279,plain,
% 20.00/20.28 ((~![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))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 20.00/20.28 tff(7280,plain,
% 20.00/20.28 (~m_main_v_state2(s86, c_n2)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7279, 10, 7276])).
% 20.00/20.28 tff(7281,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7282,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7283,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 20.00/20.28 tff(7284,plain,
% 20.00/20.28 (~node4(s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7283, 162, 7280])).
% 20.00/20.28 tff(7285,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7286,plain,
% 20.00/20.28 ((~![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)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7287,plain,
% 20.00/20.28 ((~![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))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 20.00/20.28 tff(7288,plain,
% 20.00/20.28 (~m_main_v_state2(s86, c_c2)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7287, 173, 7276])).
% 20.00/20.28 tff(7289,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7290,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7291,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 20.00/20.28 tff(7292,plain,
% 20.00/20.28 (~node3(s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7291, 184, 7288])).
% 20.00/20.28 tff(7293,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7294,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 20.00/20.28 inference(quant_inst,[status(thm)],[])).
% 20.00/20.28 tff(7295,plain,
% 20.00/20.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 20.00/20.28 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 20.00/20.28 tff(7296,plain,
% 20.00/20.28 (~node2(s86)),
% 20.00/20.28 inference(unit_resolution,[status(thm)],[7295, 195, 7280])).
% 20.00/20.28 tff(7297,plain,
% 20.00/20.28 (((~![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)))),
% 20.00/20.28 inference(rewrite,[status(thm)],[])).
% 20.00/20.28 tff(7298,plain,
% 20.00/20.28 ((~![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)))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7299,plain,
% 20.00/20.29 ((~![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))),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 20.00/20.29 tff(7300,plain,
% 20.00/20.29 (~m_main_v_state1(s86, c_n1)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7299, 449, 7259])).
% 20.00/20.29 tff(7301,plain,
% 20.00/20.29 (((~![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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7302,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7303,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 20.00/20.29 tff(7304,plain,
% 20.00/20.29 (~node1(s86)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7303, 249, 7300])).
% 20.00/20.29 tff(7305,plain,
% 20.00/20.29 (succ(s86, s87) <=> succ(s86, s87)),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7306,axiom,(succ(s86, s87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound87')).
% 20.00/20.29 tff(7307,plain,
% 20.00/20.29 (succ(s86, s87)),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 20.00/20.29 tff(7308,plain,
% 20.00/20.29 (((~![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))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7309,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7310,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 20.00/20.29 tff(7311,plain,
% 20.00/20.29 (trans(s86, s87)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7310, 7307, 57])).
% 20.00/20.29 tff(7312,plain,
% 20.00/20.29 (((~![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))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7313,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7314,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 20.00/20.29 tff(7315,plain,
% 20.00/20.29 (node7(s86, s87)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7314, 217, 7311])).
% 20.00/20.29 tff(7316,plain,
% 20.00/20.29 (((~![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(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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7317,plain,
% 20.00/20.29 (((~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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7318,plain,
% 20.00/20.29 (((~![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(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))))),
% 20.00/20.29 inference(monotonicity,[status(thm)],[7317])).
% 20.00/20.29 tff(7319,plain,
% 20.00/20.29 (((~![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(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)))),
% 20.00/20.29 inference(transitivity,[status(thm)],[7318, 7316])).
% 20.00/20.29 tff(7320,plain,
% 20.00/20.29 ((~![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(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7321,plain,
% 20.00/20.29 ((~![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(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 20.00/20.29 tff(7322,plain,
% 20.00/20.29 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7321, 478, 7315])).
% 20.00/20.29 tff(7323,plain,
% 20.00/20.29 (m_main_v_state1(s87, c_n1)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7322, 7304, 7259, 7296, 7292, 7284, 7267])).
% 20.00/20.29 tff(7324,plain,
% 20.00/20.29 (((~![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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7325,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7326,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 20.00/20.29 tff(7327,plain,
% 20.00/20.29 (~node15(s85)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7326, 21, 7236])).
% 20.00/20.29 tff(7328,plain,
% 20.00/20.29 (((~![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))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7329,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7330,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 20.00/20.29 tff(7331,plain,
% 20.00/20.29 (node18(s85, s86)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7330, 71, 7247])).
% 20.00/20.29 tff(7332,plain,
% 20.00/20.29 (((~![Y: $i, X: $i] : ((~m_main_v_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))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7333,plain,
% 20.00/20.29 (((~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))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7334,plain,
% 20.00/20.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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)))),
% 20.00/20.29 inference(monotonicity,[status(thm)],[7333])).
% 20.00/20.29 tff(7335,plain,
% 20.00/20.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 20.00/20.29 inference(transitivity,[status(thm)],[7334, 7332])).
% 20.00/20.29 tff(7336,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_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))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7337,plain,
% 20.00/20.29 ((~![Y: $i, X: $i] : ((~m_main_v_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)),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 20.00/20.29 tff(7338,plain,
% 20.00/20.29 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7337, 863, 7331])).
% 20.00/20.29 tff(7339,plain,
% 20.00/20.29 (m_main_v_turn(s86, c_1)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7338, 7327, 7164, 7232])).
% 20.00/20.29 tff(7340,plain,
% 20.00/20.29 (((~![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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7341,plain,
% 20.00/20.29 ((~![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)))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7342,plain,
% 20.00/20.29 ((~![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))),
% 20.00/20.29 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 20.00/20.29 tff(7343,plain,
% 20.00/20.29 (~m_main_v_turn(s86, c_2)),
% 20.00/20.29 inference(unit_resolution,[status(thm)],[7342, 322, 7339])).
% 20.00/20.29 tff(7344,plain,
% 20.00/20.29 (((~![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)))),
% 20.00/20.29 inference(rewrite,[status(thm)],[])).
% 20.00/20.29 tff(7345,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 20.00/20.29 inference(quant_inst,[status(thm)],[])).
% 20.00/20.29 tff(7346,plain,
% 20.00/20.29 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7345, 7344])).
% 20.00/20.30 tff(7347,plain,
% 20.00/20.30 (~node12(s86)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7346, 350, 7343])).
% 20.00/20.30 tff(7348,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7349,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7350,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 20.00/20.30 tff(7351,plain,
% 20.00/20.30 (~node8(s86)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7350, 383, 7280])).
% 20.00/20.30 tff(7352,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7353,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7354,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 20.00/20.30 tff(7355,plain,
% 20.00/20.30 (~node9(s86)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7354, 311, 7280])).
% 20.00/20.30 tff(7356,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7357,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7358,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7357, 7356])).
% 20.00/20.30 tff(7359,plain,
% 20.00/20.30 (~node10(s86)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7358, 372, 7280])).
% 20.00/20.30 tff(7360,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7361,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7362,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 20.00/20.30 tff(7363,plain,
% 20.00/20.30 (~node11(s86)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7362, 361, 7300])).
% 20.00/20.30 tff(7364,plain,
% 20.00/20.30 (((~![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))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7365,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7366,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7365, 7364])).
% 20.00/20.30 tff(7367,plain,
% 20.00/20.30 (node14(s86, s87)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7366, 130, 7311])).
% 20.00/20.30 tff(7368,plain,
% 20.00/20.30 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7369,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7370,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 20.00/20.30 tff(7371,plain,
% 20.00/20.30 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7370, 401, 7367])).
% 20.00/20.30 tff(7372,plain,
% 20.00/20.30 (node13(s86, s87)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7371, 7363, 7288, 7359, 7355, 7351, 7347])).
% 20.00/20.30 tff(7373,plain,
% 20.00/20.30 (((~![V: $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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7374,plain,
% 20.00/20.30 (((~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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7375,plain,
% 20.00/20.30 (((~![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))))),
% 20.00/20.30 inference(monotonicity,[status(thm)],[7374])).
% 20.00/20.30 tff(7376,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(transitivity,[status(thm)],[7375, 7373])).
% 20.00/20.30 tff(7377,plain,
% 20.00/20.30 ((~![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))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7378,plain,
% 20.00/20.30 ((~![V: $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))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 20.00/20.30 tff(7379,plain,
% 20.00/20.30 (m_main_v_state2(s87, c_t2)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7378, 563, 7276, 7372])).
% 20.00/20.30 tff(7380,plain,
% 20.00/20.30 (succ(s87, s88) <=> succ(s87, s88)),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7381,axiom,(succ(s87, s88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound88')).
% 20.00/20.30 tff(7382,plain,
% 20.00/20.30 (succ(s87, s88)),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 20.00/20.30 tff(7383,plain,
% 20.00/20.30 (((~![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))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7384,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7385,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 20.00/20.30 tff(7386,plain,
% 20.00/20.30 (trans(s87, s88)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7385, 7382, 57])).
% 20.00/20.30 tff(7387,plain,
% 20.00/20.30 (((~![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))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7388,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7389,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 20.00/20.30 tff(7390,plain,
% 20.00/20.30 (node7(s87, s88)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7389, 217, 7386])).
% 20.00/20.30 tff(7391,plain,
% 20.00/20.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7392,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7393,plain,
% 20.00/20.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 20.00/20.30 tff(7394,plain,
% 20.00/20.30 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7393, 598, 7390])).
% 20.00/20.30 tff(7395,plain,
% 20.00/20.30 (m_main_v_state1(s88, c_t1)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7394, 7379, 7323])).
% 20.00/20.30 tff(7396,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7397,plain,
% 20.00/20.30 ((~![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)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7398,plain,
% 20.00/20.30 ((~![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))),
% 20.00/20.30 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 20.00/20.30 tff(7399,plain,
% 20.00/20.30 (~m_main_v_state1(s88, c_n1)),
% 20.00/20.30 inference(unit_resolution,[status(thm)],[7398, 35, 7395])).
% 20.00/20.30 tff(7400,plain,
% 20.00/20.30 (((~![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)))),
% 20.00/20.30 inference(rewrite,[status(thm)],[])).
% 20.00/20.30 tff(7401,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 20.00/20.30 inference(quant_inst,[status(thm)],[])).
% 20.00/20.30 tff(7402,plain,
% 20.00/20.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 20.00/20.31 tff(7403,plain,
% 20.00/20.31 (~node1(s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7402, 249, 7399])).
% 20.00/20.31 tff(7404,plain,
% 20.00/20.31 (((~![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))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7405,plain,
% 20.00/20.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7406,plain,
% 20.00/20.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 20.00/20.31 tff(7407,plain,
% 20.00/20.31 (node18(s87, s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7406, 71, 7386])).
% 20.00/20.31 tff(7408,plain,
% 20.00/20.31 (((~![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(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))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7409,plain,
% 20.00/20.31 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7410,plain,
% 20.00/20.31 ((~![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(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2)),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 20.00/20.31 tff(7411,plain,
% 20.00/20.31 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7410, 625, 7407])).
% 20.00/20.31 tff(7412,plain,
% 20.00/20.31 (m_main_v_turn(s88, c_2)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7411, 7379, 7323])).
% 20.00/20.31 tff(7413,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7414,plain,
% 20.00/20.31 ((~![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)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7415,plain,
% 20.00/20.31 ((~![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))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 20.00/20.31 tff(7416,plain,
% 20.00/20.31 (~m_main_v_turn(s88, c_1)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7415, 322, 7412])).
% 20.00/20.31 tff(7417,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7418,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7419,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 20.00/20.31 tff(7420,plain,
% 20.00/20.31 (~node5(s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7419, 641, 7416])).
% 20.00/20.31 tff(7421,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7422,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7423,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 20.00/20.31 tff(7424,plain,
% 20.00/20.31 (~node2(s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7423, 652, 7399])).
% 20.00/20.31 tff(7425,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7426,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7427,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 20.00/20.31 tff(7428,plain,
% 20.00/20.31 (~node3(s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7427, 663, 7399])).
% 20.00/20.31 tff(7429,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7430,plain,
% 20.00/20.31 ((~![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)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7431,plain,
% 20.00/20.31 ((~![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))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 20.00/20.31 tff(7432,plain,
% 20.00/20.31 (~m_main_v_state1(s88, c_c1)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7431, 289, 7395])).
% 20.00/20.31 tff(7433,plain,
% 20.00/20.31 (((~![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(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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7434,plain,
% 20.00/20.31 (((~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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7435,plain,
% 20.00/20.31 (((~![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))))),
% 20.00/20.31 inference(monotonicity,[status(thm)],[7434])).
% 20.00/20.31 tff(7436,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(transitivity,[status(thm)],[7435, 7433])).
% 20.00/20.31 tff(7437,plain,
% 20.00/20.31 ((~![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)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7438,plain,
% 20.00/20.31 ((~![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(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 20.00/20.31 tff(7439,plain,
% 20.00/20.31 (~m_main_v_state2(s87, c_n2)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7438, 416, 7280, 7372])).
% 20.00/20.31 tff(7440,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7441,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7442,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7441, 7440])).
% 20.00/20.31 tff(7443,plain,
% 20.00/20.31 (~node9(s87)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7442, 311, 7439])).
% 20.00/20.31 tff(7444,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7445,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7446,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 20.00/20.31 tff(7447,plain,
% 20.00/20.31 (~node10(s87)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7446, 372, 7439])).
% 20.00/20.31 tff(7448,plain,
% 20.00/20.31 (((~![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)))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7449,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7450,plain,
% 20.00/20.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 20.00/20.31 tff(7451,plain,
% 20.00/20.31 (~node8(s87)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7450, 383, 7439])).
% 20.00/20.31 tff(7452,plain,
% 20.00/20.31 (((~![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))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7453,plain,
% 20.00/20.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 20.00/20.31 inference(quant_inst,[status(thm)],[])).
% 20.00/20.31 tff(7454,plain,
% 20.00/20.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 20.00/20.31 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 20.00/20.31 tff(7455,plain,
% 20.00/20.31 (node14(s87, s88)),
% 20.00/20.31 inference(unit_resolution,[status(thm)],[7454, 130, 7386])).
% 20.00/20.31 tff(7456,plain,
% 20.00/20.31 (((~![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(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))),
% 20.00/20.31 inference(rewrite,[status(thm)],[])).
% 20.00/20.31 tff(7457,plain,
% 20.00/20.31 ((~![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(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))),
% 20.00/20.32 inference(quant_inst,[status(thm)],[])).
% 20.00/20.32 tff(7458,plain,
% 20.00/20.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.00/20.32 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 20.00/20.32 tff(7459,plain,
% 20.00/20.32 ((~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)),
% 20.00/20.32 inference(unit_resolution,[status(thm)],[7458, 704, 7455])).
% 20.00/20.32 tff(7460,plain,
% 20.00/20.32 (m_main_v_state2(s88, c_c2)),
% 20.00/20.32 inference(unit_resolution,[status(thm)],[7459, 7451, 7323, 7379, 7447, 7443])).
% 20.00/20.32 tff(7461,plain,
% 20.00/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7462,plain,
% 20.08/20.32 ((~![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)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7463,plain,
% 20.08/20.32 ((~![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))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 20.08/20.32 tff(7464,plain,
% 20.08/20.32 (~m_main_v_state2(s88, c_n2)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7463, 716, 7460])).
% 20.08/20.32 tff(7465,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7466,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7467,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 20.08/20.32 tff(7468,plain,
% 20.08/20.32 (~node4(s88)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7467, 162, 7464])).
% 20.08/20.32 tff(7469,plain,
% 20.08/20.32 (succ(s88, s89) <=> succ(s88, s89)),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7470,axiom,(succ(s88, s89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound89')).
% 20.08/20.32 tff(7471,plain,
% 20.08/20.32 (succ(s88, s89)),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 20.08/20.32 tff(7472,plain,
% 20.08/20.32 (((~![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))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7473,plain,
% 20.08/20.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7474,plain,
% 20.08/20.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 20.08/20.32 tff(7475,plain,
% 20.08/20.32 (trans(s88, s89)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7474, 7471, 57])).
% 20.08/20.32 tff(7476,plain,
% 20.08/20.32 (((~![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))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7477,plain,
% 20.08/20.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7478,plain,
% 20.08/20.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7477, 7476])).
% 20.08/20.32 tff(7479,plain,
% 20.08/20.32 (node7(s88, s89)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7478, 217, 7475])).
% 20.08/20.32 tff(7480,plain,
% 20.08/20.32 (((~![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(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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7481,plain,
% 20.08/20.32 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7482,plain,
% 20.08/20.32 ((~![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(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 20.08/20.32 tff(7483,plain,
% 20.08/20.32 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7482, 745, 7479])).
% 20.08/20.32 tff(7484,plain,
% 20.08/20.32 (node6(s88, s89)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7483, 7468, 7432, 7428, 7424, 7420, 7403])).
% 20.08/20.32 tff(7485,plain,
% 20.08/20.32 (((~![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(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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7486,plain,
% 20.08/20.32 (((~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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7487,plain,
% 20.08/20.32 (((~![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))))),
% 20.08/20.32 inference(monotonicity,[status(thm)],[7486])).
% 20.08/20.32 tff(7488,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(transitivity,[status(thm)],[7487, 7485])).
% 20.08/20.32 tff(7489,plain,
% 20.08/20.32 ((~![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))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7490,plain,
% 20.08/20.32 ((~![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(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 20.08/20.32 tff(7491,plain,
% 20.08/20.32 (m_main_v_state1(s89, c_t1)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7490, 760, 7395, 7484])).
% 20.08/20.32 tff(7492,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7493,plain,
% 20.08/20.32 ((~![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)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7494,plain,
% 20.08/20.32 ((~![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))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 20.08/20.32 tff(7495,plain,
% 20.08/20.32 (~m_main_v_state2(s88, c_t2)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7494, 173, 7460])).
% 20.08/20.32 tff(7496,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7497,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7498,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 20.08/20.32 tff(7499,plain,
% 20.08/20.32 (~node12(s88)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7498, 778, 7495])).
% 20.08/20.32 tff(7500,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7501,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7502,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 20.08/20.32 tff(7503,plain,
% 20.08/20.32 (~node11(s88)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7502, 361, 7399])).
% 20.08/20.32 tff(7504,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7505,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7506,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 20.08/20.32 tff(7507,plain,
% 20.08/20.32 (~node10(s88)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7506, 793, 7432])).
% 20.08/20.32 tff(7508,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7509,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7510,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 20.08/20.32 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 20.08/20.32 tff(7511,plain,
% 20.08/20.32 (~node9(s88)),
% 20.08/20.32 inference(unit_resolution,[status(thm)],[7510, 804, 7399])).
% 20.08/20.32 tff(7512,plain,
% 20.08/20.32 (((~![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)))),
% 20.08/20.32 inference(rewrite,[status(thm)],[])).
% 20.08/20.32 tff(7513,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 20.08/20.32 inference(quant_inst,[status(thm)],[])).
% 20.08/20.32 tff(7514,plain,
% 20.08/20.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7513, 7512])).
% 20.08/20.33 tff(7515,plain,
% 20.08/20.33 (~node8(s88)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7514, 383, 7464])).
% 20.08/20.33 tff(7516,plain,
% 20.08/20.33 (((~![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))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7517,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7518,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 20.08/20.33 tff(7519,plain,
% 20.08/20.33 (node14(s88, s89)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7518, 130, 7475])).
% 20.08/20.33 tff(7520,plain,
% 20.08/20.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7521,plain,
% 20.08/20.33 (((~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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7522,plain,
% 20.08/20.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.08/20.33 inference(monotonicity,[status(thm)],[7521])).
% 20.08/20.33 tff(7523,plain,
% 20.08/20.33 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.08/20.33 inference(transitivity,[status(thm)],[7522, 7520])).
% 20.08/20.33 tff(7524,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7525,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 20.08/20.33 tff(7526,plain,
% 20.08/20.33 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7525, 826, 7519])).
% 20.08/20.33 tff(7527,plain,
% 20.08/20.33 (m_main_v_state2(s89, c_n2)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7526, 7515, 7460, 7511, 7507, 7503, 7499])).
% 20.08/20.33 tff(7528,plain,
% 20.08/20.33 (((~![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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7529,plain,
% 20.08/20.33 ((~![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)))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7530,plain,
% 20.08/20.33 ((~![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))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 20.08/20.33 tff(7531,plain,
% 20.08/20.33 (~m_main_v_state2(s89, c_t2)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7530, 10, 7527])).
% 20.08/20.33 tff(7532,plain,
% 20.08/20.33 (((~![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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7533,plain,
% 20.08/20.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7534,plain,
% 20.08/20.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 20.08/20.33 tff(7535,plain,
% 20.08/20.33 (~node15(s89)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7534, 21, 7531])).
% 20.08/20.33 tff(7536,plain,
% 20.08/20.33 (succ(s89, s90) <=> succ(s89, s90)),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7537,axiom,(succ(s89, s90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound90')).
% 20.08/20.33 tff(7538,plain,
% 20.08/20.33 (succ(s89, s90)),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 20.08/20.33 tff(7539,plain,
% 20.08/20.33 (((~![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))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7540,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7541,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 20.08/20.33 tff(7542,plain,
% 20.08/20.33 (trans(s89, s90)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7541, 7538, 57])).
% 20.08/20.33 tff(7543,plain,
% 20.08/20.33 (((~![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))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7544,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7545,plain,
% 20.08/20.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 20.08/20.33 tff(7546,plain,
% 20.08/20.33 (node18(s89, s90)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7545, 71, 7542])).
% 20.08/20.33 tff(7547,plain,
% 20.08/20.33 (((~![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(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))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7548,plain,
% 20.08/20.33 (((~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))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7549,plain,
% 20.08/20.33 (((~![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(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)))),
% 20.08/20.33 inference(monotonicity,[status(thm)],[7548])).
% 20.08/20.33 tff(7550,plain,
% 20.08/20.33 (((~![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(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))),
% 20.08/20.33 inference(transitivity,[status(thm)],[7549, 7547])).
% 20.08/20.33 tff(7551,plain,
% 20.08/20.33 ((~![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(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7552,plain,
% 20.08/20.33 ((~![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(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)),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 20.08/20.33 tff(7553,plain,
% 20.08/20.33 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7552, 863, 7546])).
% 20.08/20.33 tff(7554,plain,
% 20.08/20.33 (m_main_v_turn(s90, c_1)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7553, 7535, 7527, 7491])).
% 20.08/20.33 tff(7555,plain,
% 20.08/20.33 (((~![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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7556,plain,
% 20.08/20.33 ((~![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)))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7557,plain,
% 20.08/20.33 ((~![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))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7556, 7555])).
% 20.08/20.33 tff(7558,plain,
% 20.08/20.33 (~m_main_v_turn(s90, c_2)),
% 20.08/20.33 inference(unit_resolution,[status(thm)],[7557, 322, 7554])).
% 20.08/20.33 tff(7559,plain,
% 20.08/20.33 (((~![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)))),
% 20.08/20.33 inference(rewrite,[status(thm)],[])).
% 20.08/20.33 tff(7560,plain,
% 20.08/20.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 20.08/20.33 inference(quant_inst,[status(thm)],[])).
% 20.08/20.33 tff(7561,plain,
% 20.08/20.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 20.08/20.33 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 20.08/20.34 tff(7562,plain,
% 20.08/20.34 (~node12(s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7561, 350, 7558])).
% 20.08/20.34 tff(7563,plain,
% 20.08/20.34 (((~![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))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7564,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7565,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 20.08/20.34 tff(7566,plain,
% 20.08/20.34 (node14(s89, s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7565, 130, 7542])).
% 20.08/20.34 tff(7567,plain,
% 20.08/20.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7568,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7569,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 20.08/20.34 tff(7570,plain,
% 20.08/20.34 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7569, 893, 7566])).
% 20.08/20.34 tff(7571,plain,
% 20.08/20.34 (m_main_v_state2(s90, c_t2)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7570, 7491, 7527])).
% 20.08/20.34 tff(7572,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7573,plain,
% 20.08/20.34 ((~![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)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7574,plain,
% 20.08/20.34 ((~![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))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 20.08/20.34 tff(7575,plain,
% 20.08/20.34 (~m_main_v_state2(s90, c_n2)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7574, 10, 7571])).
% 20.08/20.34 tff(7576,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7577,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7578,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 20.08/20.34 tff(7579,plain,
% 20.08/20.34 (~node8(s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7578, 383, 7575])).
% 20.08/20.34 tff(7580,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7581,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7582,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7581, 7580])).
% 20.08/20.34 tff(7583,plain,
% 20.08/20.34 (~node9(s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7582, 311, 7575])).
% 20.08/20.34 tff(7584,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7585,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7586,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 20.08/20.34 tff(7587,plain,
% 20.08/20.34 (~node10(s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7586, 372, 7575])).
% 20.08/20.34 tff(7588,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7589,plain,
% 20.08/20.34 ((~![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)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7590,plain,
% 20.08/20.34 ((~![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))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 20.08/20.34 tff(7591,plain,
% 20.08/20.34 (~m_main_v_state2(s90, c_c2)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7590, 173, 7571])).
% 20.08/20.34 tff(7592,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7593,plain,
% 20.08/20.34 ((~![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)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7594,plain,
% 20.08/20.34 ((~![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))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 20.08/20.34 tff(7595,plain,
% 20.08/20.34 (~m_main_v_state2(s89, c_c2)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7594, 716, 7527])).
% 20.08/20.34 tff(7596,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7597,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7598,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 20.08/20.34 tff(7599,plain,
% 20.08/20.34 (~node3(s89)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7598, 184, 7595])).
% 20.08/20.34 tff(7600,plain,
% 20.08/20.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s88, c_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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7601,plain,
% 20.08/20.34 (((~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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7602,plain,
% 20.08/20.34 (((~![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))))),
% 20.08/20.34 inference(monotonicity,[status(thm)],[7601])).
% 20.08/20.34 tff(7603,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(transitivity,[status(thm)],[7602, 7600])).
% 20.08/20.34 tff(7604,plain,
% 20.08/20.34 ((~![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)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7605,plain,
% 20.08/20.34 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 20.08/20.34 tff(7606,plain,
% 20.08/20.34 (~m_main_v_state1(s89, c_n1)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7605, 936, 7399, 7484])).
% 20.08/20.34 tff(7607,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7608,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7609,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 20.08/20.34 tff(7610,plain,
% 20.08/20.34 (~node2(s89)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7609, 652, 7606])).
% 20.08/20.34 tff(7611,plain,
% 20.08/20.34 (((~![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)))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7612,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7613,plain,
% 20.08/20.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 20.08/20.34 tff(7614,plain,
% 20.08/20.34 (~node1(s89)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7613, 206, 7531])).
% 20.08/20.34 tff(7615,plain,
% 20.08/20.34 (((~![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))),
% 20.08/20.34 inference(rewrite,[status(thm)],[])).
% 20.08/20.34 tff(7616,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 20.08/20.34 inference(quant_inst,[status(thm)],[])).
% 20.08/20.34 tff(7617,plain,
% 20.08/20.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 20.08/20.34 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 20.08/20.34 tff(7618,plain,
% 20.08/20.34 (node7(s89, s90)),
% 20.08/20.34 inference(unit_resolution,[status(thm)],[7617, 217, 7542])).
% 20.08/20.34 tff(7619,plain,
% 20.08/20.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7620,plain,
% 20.08/20.35 (((~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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7621,plain,
% 20.08/20.35 (((~![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(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))))),
% 20.08/20.35 inference(monotonicity,[status(thm)],[7620])).
% 20.08/20.35 tff(7622,plain,
% 20.08/20.35 (((~![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(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)))),
% 20.08/20.35 inference(transitivity,[status(thm)],[7621, 7619])).
% 20.08/20.35 tff(7623,plain,
% 20.08/20.35 ((~![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(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))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7624,plain,
% 20.08/20.35 ((~![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(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))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 20.08/20.35 tff(7625,plain,
% 20.08/20.35 ((~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)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7624, 965, 7618])).
% 20.08/20.35 tff(7626,plain,
% 20.08/20.35 (m_main_v_state1(s90, c_c1)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7625, 7614, 7527, 7491, 7610, 7599])).
% 20.08/20.35 tff(7627,plain,
% 20.08/20.35 (((~![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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7628,plain,
% 20.08/20.35 ((~![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)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7629,plain,
% 20.08/20.35 ((~![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))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 20.08/20.35 tff(7630,plain,
% 20.08/20.35 (~m_main_v_state1(s90, c_n1)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7629, 449, 7626])).
% 20.08/20.35 tff(7631,plain,
% 20.08/20.35 (((~![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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7632,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7633,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 20.08/20.35 tff(7634,plain,
% 20.08/20.35 (~node11(s90)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7633, 361, 7630])).
% 20.08/20.35 tff(7635,plain,
% 20.08/20.35 (succ(s90, s91) <=> succ(s90, s91)),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7636,axiom,(succ(s90, s91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound91')).
% 20.08/20.35 tff(7637,plain,
% 20.08/20.35 (succ(s90, s91)),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 20.08/20.35 tff(7638,plain,
% 20.08/20.35 (((~![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))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7639,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7640,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 20.08/20.35 tff(7641,plain,
% 20.08/20.35 (trans(s90, s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7640, 7637, 57])).
% 20.08/20.35 tff(7642,plain,
% 20.08/20.35 (((~![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))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7643,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7644,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7643, 7642])).
% 20.08/20.35 tff(7645,plain,
% 20.08/20.35 (node14(s90, s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7644, 130, 7641])).
% 20.08/20.35 tff(7646,plain,
% 20.08/20.35 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7647,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7648,plain,
% 20.08/20.35 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 20.08/20.35 tff(7649,plain,
% 20.08/20.35 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7648, 401, 7645])).
% 20.08/20.35 tff(7650,plain,
% 20.08/20.35 (node13(s90, s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7649, 7634, 7591, 7587, 7583, 7579, 7562])).
% 20.08/20.35 tff(7651,plain,
% 20.08/20.35 (((~![V: $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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7652,plain,
% 20.08/20.35 (((~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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7653,plain,
% 20.08/20.35 (((~![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))))),
% 20.08/20.35 inference(monotonicity,[status(thm)],[7652])).
% 20.08/20.35 tff(7654,plain,
% 20.08/20.35 (((~![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)))),
% 20.08/20.35 inference(transitivity,[status(thm)],[7653, 7651])).
% 20.08/20.35 tff(7655,plain,
% 20.08/20.35 ((~![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)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7656,plain,
% 20.08/20.35 ((~![V: $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))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 20.08/20.35 tff(7657,plain,
% 20.08/20.35 (~m_main_v_state2(s91, c_n2)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7656, 416, 7575, 7650])).
% 20.08/20.35 tff(7658,plain,
% 20.08/20.35 (((~![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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7659,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7660,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7659, 7658])).
% 20.08/20.35 tff(7661,plain,
% 20.08/20.35 (~node9(s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7660, 311, 7657])).
% 20.08/20.35 tff(7662,plain,
% 20.08/20.35 (((~![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)))),
% 20.08/20.35 inference(rewrite,[status(thm)],[])).
% 20.08/20.35 tff(7663,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 20.08/20.35 inference(quant_inst,[status(thm)],[])).
% 20.08/20.35 tff(7664,plain,
% 20.08/20.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 20.08/20.35 inference(modus_ponens,[status(thm)],[7663, 7662])).
% 20.08/20.35 tff(7665,plain,
% 20.08/20.35 (~node10(s91)),
% 20.08/20.35 inference(unit_resolution,[status(thm)],[7664, 372, 7657])).
% 20.08/20.35 tff(7666,plain,
% 20.08/20.35 (((~![V: $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)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7667,plain,
% 20.08/20.36 (((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2)) <=> ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7668,plain,
% 20.08/20.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))))),
% 20.08/20.36 inference(monotonicity,[status(thm)],[7667])).
% 20.08/20.36 tff(7669,plain,
% 20.08/20.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 20.08/20.36 inference(transitivity,[status(thm)],[7668, 7666])).
% 20.08/20.36 tff(7670,plain,
% 20.08/20.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7671,plain,
% 20.08/20.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7670, 7669])).
% 20.08/20.36 tff(7672,plain,
% 20.08/20.36 (m_main_v_state2(s91, c_t2)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7671, 563, 7571, 7650])).
% 20.08/20.36 tff(7673,plain,
% 20.08/20.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7674,plain,
% 20.08/20.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7675,plain,
% 20.08/20.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 20.08/20.36 tff(7676,plain,
% 20.08/20.36 (~m_main_v_state1(s90, c_t1)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7675, 289, 7626])).
% 20.08/20.36 tff(7677,plain,
% 20.08/20.36 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7678,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7679,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7678, 7677])).
% 20.08/20.36 tff(7680,plain,
% 20.08/20.36 (~node5(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7679, 300, 7676])).
% 20.08/20.36 tff(7681,plain,
% 20.08/20.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7682,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7683,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 20.08/20.36 tff(7684,plain,
% 20.08/20.36 (~node4(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7683, 162, 7575])).
% 20.08/20.36 tff(7685,plain,
% 20.08/20.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7686,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7687,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7686, 7685])).
% 20.08/20.36 tff(7688,plain,
% 20.08/20.36 (~node3(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7687, 184, 7591])).
% 20.08/20.36 tff(7689,plain,
% 20.08/20.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7690,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7691,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7690, 7689])).
% 20.08/20.36 tff(7692,plain,
% 20.08/20.36 (~node2(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7691, 195, 7575])).
% 20.08/20.36 tff(7693,plain,
% 20.08/20.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7694,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7695,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 20.08/20.36 tff(7696,plain,
% 20.08/20.36 (~node1(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7695, 249, 7630])).
% 20.08/20.36 tff(7697,plain,
% 20.08/20.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7698,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7699,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 20.08/20.36 tff(7700,plain,
% 20.08/20.36 (node7(s90, s91)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7699, 217, 7641])).
% 20.08/20.36 tff(7701,plain,
% 20.08/20.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7702,plain,
% 20.08/20.36 (((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1)) <=> (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7703,plain,
% 20.08/20.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))))),
% 20.08/20.36 inference(monotonicity,[status(thm)],[7702])).
% 20.08/20.36 tff(7704,plain,
% 20.08/20.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 20.08/20.36 inference(transitivity,[status(thm)],[7703, 7701])).
% 20.08/20.36 tff(7705,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7706,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 20.08/20.36 tff(7707,plain,
% 20.08/20.36 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7706, 478, 7700])).
% 20.08/20.36 tff(7708,plain,
% 20.08/20.36 (m_main_v_state1(s91, c_n1)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7707, 7696, 7626, 7692, 7688, 7684, 7680])).
% 20.08/20.36 tff(7709,plain,
% 20.08/20.36 (((~![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)))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7710,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7711,plain,
% 20.08/20.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 20.08/20.36 tff(7712,plain,
% 20.08/20.36 (~node8(s91)),
% 20.08/20.36 inference(unit_resolution,[status(thm)],[7711, 383, 7657])).
% 20.08/20.36 tff(7713,plain,
% 20.08/20.36 (succ(s91, s92) <=> succ(s91, s92)),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7714,axiom,(succ(s91, s92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound92')).
% 20.08/20.36 tff(7715,plain,
% 20.08/20.36 (succ(s91, s92)),
% 20.08/20.36 inference(modus_ponens,[status(thm)],[7714, 7713])).
% 20.08/20.36 tff(7716,plain,
% 20.08/20.36 (((~![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))),
% 20.08/20.36 inference(rewrite,[status(thm)],[])).
% 20.08/20.36 tff(7717,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 20.08/20.36 inference(quant_inst,[status(thm)],[])).
% 20.08/20.36 tff(7718,plain,
% 20.08/20.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 20.08/20.37 tff(7719,plain,
% 20.08/20.37 (trans(s91, s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7718, 7715, 57])).
% 20.08/20.37 tff(7720,plain,
% 20.08/20.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7721,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7722,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 20.08/20.37 tff(7723,plain,
% 20.08/20.37 (node14(s91, s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7722, 130, 7719])).
% 20.08/20.37 tff(7724,plain,
% 20.08/20.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7725,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7726,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2)),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 20.08/20.37 tff(7727,plain,
% 20.08/20.37 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | m_main_v_state2(s92, c_c2)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7726, 704, 7723])).
% 20.08/20.37 tff(7728,plain,
% 20.08/20.37 (m_main_v_state2(s92, c_c2)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7727, 7712, 7708, 7672, 7665, 7661])).
% 20.08/20.37 tff(7729,plain,
% 20.08/20.37 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7730,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7731,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 20.08/20.37 tff(7732,plain,
% 20.08/20.37 (~m_main_v_state2(s92, c_t2)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7731, 173, 7728])).
% 20.08/20.37 tff(7733,plain,
% 20.08/20.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7734,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7735,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 20.08/20.37 tff(7736,plain,
% 20.08/20.37 (~node12(s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7735, 778, 7732])).
% 20.08/20.37 tff(7737,plain,
% 20.08/20.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7738,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7739,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 20.08/20.37 tff(7740,plain,
% 20.08/20.37 (node7(s91, s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7739, 217, 7719])).
% 20.08/20.37 tff(7741,plain,
% 20.08/20.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7742,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7743,plain,
% 20.08/20.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1)),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 20.08/20.37 tff(7744,plain,
% 20.08/20.37 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7743, 598, 7740])).
% 20.08/20.37 tff(7745,plain,
% 20.08/20.37 (m_main_v_state1(s92, c_t1)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7744, 7672, 7708])).
% 20.08/20.37 tff(7746,plain,
% 20.08/20.37 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7747,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7748,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 20.08/20.37 tff(7749,plain,
% 20.08/20.37 (~m_main_v_state1(s92, c_n1)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7748, 35, 7745])).
% 20.08/20.37 tff(7750,plain,
% 20.08/20.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7751,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7752,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 20.08/20.37 tff(7753,plain,
% 20.08/20.37 (~node11(s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7752, 361, 7749])).
% 20.08/20.37 tff(7754,plain,
% 20.08/20.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7755,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7756,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7755, 7754])).
% 20.08/20.37 tff(7757,plain,
% 20.08/20.37 (~m_main_v_state1(s92, c_c1)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7756, 289, 7745])).
% 20.08/20.37 tff(7758,plain,
% 20.08/20.37 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7759,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7760,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 20.08/20.37 tff(7761,plain,
% 20.08/20.37 (~node10(s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7760, 793, 7757])).
% 20.08/20.37 tff(7762,plain,
% 20.08/20.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7763,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7764,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 20.08/20.37 tff(7765,plain,
% 20.08/20.37 (~node9(s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7764, 804, 7749])).
% 20.08/20.37 tff(7766,plain,
% 20.08/20.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7767,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7768,plain,
% 20.08/20.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 20.08/20.37 tff(7769,plain,
% 20.08/20.37 (~m_main_v_state2(s92, c_n2)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7768, 716, 7728])).
% 20.08/20.37 tff(7770,plain,
% 20.08/20.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7771,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 20.08/20.37 inference(quant_inst,[status(thm)],[])).
% 20.08/20.37 tff(7772,plain,
% 20.08/20.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 20.08/20.37 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 20.08/20.37 tff(7773,plain,
% 20.08/20.37 (~node8(s92)),
% 20.08/20.37 inference(unit_resolution,[status(thm)],[7772, 383, 7769])).
% 20.08/20.37 tff(7774,plain,
% 20.08/20.37 (succ(s92, s93) <=> succ(s92, s93)),
% 20.08/20.37 inference(rewrite,[status(thm)],[])).
% 20.08/20.37 tff(7775,axiom,(succ(s92, s93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound93')).
% 20.08/20.38 tff(7776,plain,
% 20.08/20.38 (succ(s92, s93)),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7775, 7774])).
% 20.08/20.38 tff(7777,plain,
% 20.08/20.38 (((~![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))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7778,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7779,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 20.08/20.38 tff(7780,plain,
% 20.08/20.38 (trans(s92, s93)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7779, 7776, 57])).
% 20.08/20.38 tff(7781,plain,
% 20.08/20.38 (((~![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))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7782,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7783,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 20.08/20.38 tff(7784,plain,
% 20.08/20.38 (node14(s92, s93)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7783, 130, 7780])).
% 20.08/20.38 tff(7785,plain,
% 20.08/20.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7786,plain,
% 20.08/20.38 (((~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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7787,plain,
% 20.08/20.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.08/20.38 inference(monotonicity,[status(thm)],[7786])).
% 20.08/20.38 tff(7788,plain,
% 20.08/20.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.08/20.38 inference(transitivity,[status(thm)],[7787, 7785])).
% 20.08/20.38 tff(7789,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7790,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 20.08/20.38 tff(7791,plain,
% 20.08/20.38 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7790, 826, 7784])).
% 20.08/20.38 tff(7792,plain,
% 20.08/20.38 (m_main_v_state2(s93, c_n2)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7791, 7773, 7728, 7765, 7761, 7753, 7736])).
% 20.08/20.38 tff(7793,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7794,plain,
% 20.08/20.38 ((~![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)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7795,plain,
% 20.08/20.38 ((~![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))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 20.08/20.38 tff(7796,plain,
% 20.08/20.38 (~m_main_v_state2(s93, c_c2)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7795, 716, 7792])).
% 20.08/20.38 tff(7797,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7798,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7799,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 20.08/20.38 tff(7800,plain,
% 20.08/20.38 (~node3(s93)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7799, 184, 7796])).
% 20.08/20.38 tff(7801,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7802,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7803,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7802, 7801])).
% 20.08/20.38 tff(7804,plain,
% 20.08/20.38 (~node1(s92)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7803, 249, 7749])).
% 20.08/20.38 tff(7805,plain,
% 20.08/20.38 (((~![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))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7806,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7807,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 20.08/20.38 tff(7808,plain,
% 20.08/20.38 (node18(s91, s92)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7807, 71, 7719])).
% 20.08/20.38 tff(7809,plain,
% 20.08/20.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7810,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7811,plain,
% 20.08/20.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2)),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 20.08/20.38 tff(7812,plain,
% 20.08/20.38 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7811, 625, 7808])).
% 20.08/20.38 tff(7813,plain,
% 20.08/20.38 (m_main_v_turn(s92, c_2)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7812, 7672, 7708])).
% 20.08/20.38 tff(7814,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7815,plain,
% 20.08/20.38 ((~![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)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7816,plain,
% 20.08/20.38 ((~![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))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 20.08/20.38 tff(7817,plain,
% 20.08/20.38 (~m_main_v_turn(s92, c_1)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7816, 322, 7813])).
% 20.08/20.38 tff(7818,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7819,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7820,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 20.08/20.38 tff(7821,plain,
% 20.08/20.38 (~node5(s92)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7820, 641, 7817])).
% 20.08/20.38 tff(7822,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7823,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 20.08/20.38 inference(quant_inst,[status(thm)],[])).
% 20.08/20.38 tff(7824,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 20.08/20.38 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 20.08/20.38 tff(7825,plain,
% 20.08/20.38 (~node2(s92)),
% 20.08/20.38 inference(unit_resolution,[status(thm)],[7824, 652, 7749])).
% 20.08/20.38 tff(7826,plain,
% 20.08/20.38 (((~![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)))),
% 20.08/20.38 inference(rewrite,[status(thm)],[])).
% 20.08/20.38 tff(7827,plain,
% 20.08/20.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7828,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7827, 7826])).
% 20.08/20.39 tff(7829,plain,
% 20.08/20.39 (~node3(s92)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7828, 663, 7749])).
% 20.08/20.39 tff(7830,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7831,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7832,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 20.08/20.39 tff(7833,plain,
% 20.08/20.39 (~node4(s92)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7832, 162, 7769])).
% 20.08/20.39 tff(7834,plain,
% 20.08/20.39 (((~![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))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7835,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7836,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 20.08/20.39 tff(7837,plain,
% 20.08/20.39 (node7(s92, s93)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7836, 217, 7780])).
% 20.08/20.39 tff(7838,plain,
% 20.08/20.39 (((~![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(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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7839,plain,
% 20.08/20.39 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7840,plain,
% 20.08/20.39 ((~![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(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 20.08/20.39 tff(7841,plain,
% 20.08/20.39 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7840, 745, 7837])).
% 20.08/20.39 tff(7842,plain,
% 20.08/20.39 (node6(s92, s93)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7841, 7833, 7757, 7829, 7825, 7821, 7804])).
% 20.08/20.39 tff(7843,plain,
% 20.08/20.39 (((~![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(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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7844,plain,
% 20.08/20.39 (((~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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7845,plain,
% 20.08/20.39 (((~![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))))),
% 20.08/20.39 inference(monotonicity,[status(thm)],[7844])).
% 20.08/20.39 tff(7846,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(transitivity,[status(thm)],[7845, 7843])).
% 20.08/20.39 tff(7847,plain,
% 20.08/20.39 ((~![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)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7848,plain,
% 20.08/20.39 ((~![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(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 20.08/20.39 tff(7849,plain,
% 20.08/20.39 (~m_main_v_state1(s93, c_n1)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7848, 936, 7749, 7842])).
% 20.08/20.39 tff(7850,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7851,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7852,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 20.08/20.39 tff(7853,plain,
% 20.08/20.39 (~node2(s93)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7852, 652, 7849])).
% 20.08/20.39 tff(7854,plain,
% 20.08/20.39 (((~![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(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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7855,plain,
% 20.08/20.39 (((~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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7856,plain,
% 20.08/20.39 (((~![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))))),
% 20.08/20.39 inference(monotonicity,[status(thm)],[7855])).
% 20.08/20.39 tff(7857,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(transitivity,[status(thm)],[7856, 7854])).
% 20.08/20.39 tff(7858,plain,
% 20.08/20.39 ((~![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))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7859,plain,
% 20.08/20.39 ((~![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(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7858, 7857])).
% 20.08/20.39 tff(7860,plain,
% 20.08/20.39 (m_main_v_state1(s93, c_t1)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7859, 760, 7745, 7842])).
% 20.08/20.39 tff(7861,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7862,plain,
% 20.08/20.39 ((~![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)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7863,plain,
% 20.08/20.39 ((~![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))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 20.08/20.39 tff(7864,plain,
% 20.08/20.39 (~m_main_v_state2(s93, c_t2)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7863, 10, 7792])).
% 20.08/20.39 tff(7865,plain,
% 20.08/20.39 (((~![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)))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7866,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7867,plain,
% 20.08/20.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7866, 7865])).
% 20.08/20.39 tff(7868,plain,
% 20.08/20.39 (~node1(s93)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7867, 206, 7864])).
% 20.08/20.39 tff(7869,plain,
% 20.08/20.39 (succ(s93, s94) <=> succ(s93, s94)),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7870,axiom,(succ(s93, s94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound94')).
% 20.08/20.39 tff(7871,plain,
% 20.08/20.39 (succ(s93, s94)),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 20.08/20.39 tff(7872,plain,
% 20.08/20.39 (((~![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))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7873,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7874,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 20.08/20.39 tff(7875,plain,
% 20.08/20.39 (trans(s93, s94)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7874, 7871, 57])).
% 20.08/20.39 tff(7876,plain,
% 20.08/20.39 (((~![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))),
% 20.08/20.39 inference(rewrite,[status(thm)],[])).
% 20.08/20.39 tff(7877,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 20.08/20.39 inference(quant_inst,[status(thm)],[])).
% 20.08/20.39 tff(7878,plain,
% 20.08/20.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 20.08/20.39 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 20.08/20.39 tff(7879,plain,
% 20.08/20.39 (node7(s93, s94)),
% 20.08/20.39 inference(unit_resolution,[status(thm)],[7878, 217, 7875])).
% 20.08/20.39 tff(7880,plain,
% 20.08/20.39 (((~![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(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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7881,plain,
% 20.08/20.40 (((~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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7882,plain,
% 20.08/20.40 (((~![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(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))))),
% 20.08/20.40 inference(monotonicity,[status(thm)],[7881])).
% 20.08/20.40 tff(7883,plain,
% 20.08/20.40 (((~![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(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)))),
% 20.08/20.40 inference(transitivity,[status(thm)],[7882, 7880])).
% 20.08/20.40 tff(7884,plain,
% 20.08/20.40 ((~![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(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))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7885,plain,
% 20.08/20.40 ((~![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(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))),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7884, 7883])).
% 20.08/20.40 tff(7886,plain,
% 20.08/20.40 ((~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)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7885, 965, 7879])).
% 20.08/20.40 tff(7887,plain,
% 20.08/20.40 (m_main_v_state1(s94, c_c1)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7886, 7868, 7792, 7860, 7853, 7800])).
% 20.08/20.40 tff(7888,plain,
% 20.08/20.40 (((~![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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7889,plain,
% 20.08/20.40 ((~![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)))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7890,plain,
% 20.08/20.40 ((~![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))),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 20.08/20.40 tff(7891,plain,
% 20.08/20.40 (~m_main_v_state1(s94, c_t1)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7890, 289, 7887])).
% 20.08/20.40 tff(7892,plain,
% 20.08/20.40 (((~![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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7893,plain,
% 20.08/20.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7894,plain,
% 20.08/20.40 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7893, 7892])).
% 20.08/20.40 tff(7895,plain,
% 20.08/20.40 (~node5(s94)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7894, 300, 7891])).
% 20.08/20.40 tff(7896,plain,
% 20.08/20.40 (((~![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))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7897,plain,
% 20.08/20.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7898,plain,
% 20.08/20.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7897, 7896])).
% 20.08/20.40 tff(7899,plain,
% 20.08/20.40 (node14(s93, s94)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7898, 130, 7875])).
% 20.08/20.40 tff(7900,plain,
% 20.08/20.40 (((~![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(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))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7901,plain,
% 20.08/20.40 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7902,plain,
% 20.08/20.40 ((~![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(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2)),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 20.08/20.40 tff(7903,plain,
% 20.08/20.40 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7902, 893, 7899])).
% 20.08/20.40 tff(7904,plain,
% 20.08/20.40 (m_main_v_state2(s94, c_t2)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7903, 7860, 7792])).
% 20.08/20.40 tff(7905,plain,
% 20.08/20.40 (((~![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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7906,plain,
% 20.08/20.40 ((~![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)))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.08/20.40 tff(7907,plain,
% 20.08/20.40 ((~![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))),
% 20.08/20.40 inference(modus_ponens,[status(thm)],[7906, 7905])).
% 20.08/20.40 tff(7908,plain,
% 20.08/20.40 (~m_main_v_state2(s94, c_n2)),
% 20.08/20.40 inference(unit_resolution,[status(thm)],[7907, 10, 7904])).
% 20.08/20.40 tff(7909,plain,
% 20.08/20.40 (((~![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)))),
% 20.08/20.40 inference(rewrite,[status(thm)],[])).
% 20.08/20.40 tff(7910,plain,
% 20.08/20.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 20.08/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7911,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 20.16/20.40 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 20.16/20.40 tff(7912,plain,
% 20.16/20.40 (~node4(s94)),
% 20.16/20.40 inference(unit_resolution,[status(thm)],[7911, 162, 7908])).
% 20.16/20.40 tff(7913,plain,
% 20.16/20.40 (((~![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)))),
% 20.16/20.40 inference(rewrite,[status(thm)],[])).
% 20.16/20.40 tff(7914,plain,
% 20.16/20.40 ((~![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)))),
% 20.16/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7915,plain,
% 20.16/20.40 ((~![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))),
% 20.16/20.40 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 20.16/20.40 tff(7916,plain,
% 20.16/20.40 (~m_main_v_state2(s94, c_c2)),
% 20.16/20.40 inference(unit_resolution,[status(thm)],[7915, 173, 7904])).
% 20.16/20.40 tff(7917,plain,
% 20.16/20.40 (((~![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)))),
% 20.16/20.40 inference(rewrite,[status(thm)],[])).
% 20.16/20.40 tff(7918,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 20.16/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7919,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 20.16/20.40 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 20.16/20.40 tff(7920,plain,
% 20.16/20.40 (~node3(s94)),
% 20.16/20.40 inference(unit_resolution,[status(thm)],[7919, 184, 7916])).
% 20.16/20.40 tff(7921,plain,
% 20.16/20.40 (((~![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)))),
% 20.16/20.40 inference(rewrite,[status(thm)],[])).
% 20.16/20.40 tff(7922,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 20.16/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7923,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 20.16/20.40 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 20.16/20.40 tff(7924,plain,
% 20.16/20.40 (~node2(s94)),
% 20.16/20.40 inference(unit_resolution,[status(thm)],[7923, 195, 7908])).
% 20.16/20.40 tff(7925,plain,
% 20.16/20.40 (((~![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)))),
% 20.16/20.40 inference(rewrite,[status(thm)],[])).
% 20.16/20.40 tff(7926,plain,
% 20.16/20.40 ((~![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)))),
% 20.16/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7927,plain,
% 20.16/20.40 ((~![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))),
% 20.16/20.40 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 20.16/20.40 tff(7928,plain,
% 20.16/20.40 (~m_main_v_state1(s94, c_n1)),
% 20.16/20.40 inference(unit_resolution,[status(thm)],[7927, 449, 7887])).
% 20.16/20.40 tff(7929,plain,
% 20.16/20.40 (((~![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)))),
% 20.16/20.40 inference(rewrite,[status(thm)],[])).
% 20.16/20.40 tff(7930,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 20.16/20.40 inference(quant_inst,[status(thm)],[])).
% 20.16/20.40 tff(7931,plain,
% 20.16/20.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 20.16/20.41 tff(7932,plain,
% 20.16/20.41 (~node1(s94)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7931, 249, 7928])).
% 20.16/20.41 tff(7933,plain,
% 20.16/20.41 (succ(s94, s95) <=> succ(s94, s95)),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7934,axiom,(succ(s94, s95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound95')).
% 20.16/20.41 tff(7935,plain,
% 20.16/20.41 (succ(s94, s95)),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 20.16/20.41 tff(7936,plain,
% 20.16/20.41 (((~![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))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7937,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7938,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 20.16/20.41 tff(7939,plain,
% 20.16/20.41 (trans(s94, s95)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7938, 7935, 57])).
% 20.16/20.41 tff(7940,plain,
% 20.16/20.41 (((~![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))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7941,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7942,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7941, 7940])).
% 20.16/20.41 tff(7943,plain,
% 20.16/20.41 (node7(s94, s95)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7942, 217, 7939])).
% 20.16/20.41 tff(7944,plain,
% 20.16/20.41 (((~![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(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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7945,plain,
% 20.16/20.41 (((~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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7946,plain,
% 20.16/20.41 (((~![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(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))))),
% 20.16/20.41 inference(monotonicity,[status(thm)],[7945])).
% 20.16/20.41 tff(7947,plain,
% 20.16/20.41 (((~![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(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)))),
% 20.16/20.41 inference(transitivity,[status(thm)],[7946, 7944])).
% 20.16/20.41 tff(7948,plain,
% 20.16/20.41 ((~![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(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7949,plain,
% 20.16/20.41 ((~![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(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 20.16/20.41 tff(7950,plain,
% 20.16/20.41 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7949, 478, 7943])).
% 20.16/20.41 tff(7951,plain,
% 20.16/20.41 (m_main_v_state1(s95, c_n1)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7950, 7932, 7887, 7924, 7920, 7912, 7895])).
% 20.16/20.41 tff(7952,plain,
% 20.16/20.41 (((~![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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7953,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7954,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 20.16/20.41 tff(7955,plain,
% 20.16/20.41 (~node15(s93)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7954, 21, 7864])).
% 20.16/20.41 tff(7956,plain,
% 20.16/20.41 (((~![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))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7957,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7958,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 20.16/20.41 tff(7959,plain,
% 20.16/20.41 (node18(s93, s94)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7958, 71, 7875])).
% 20.16/20.41 tff(7960,plain,
% 20.16/20.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7961,plain,
% 20.16/20.41 (((~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))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7962,plain,
% 20.16/20.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 20.16/20.41 inference(monotonicity,[status(thm)],[7961])).
% 20.16/20.41 tff(7963,plain,
% 20.16/20.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 20.16/20.41 inference(transitivity,[status(thm)],[7962, 7960])).
% 20.16/20.41 tff(7964,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7965,plain,
% 20.16/20.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7964, 7963])).
% 20.16/20.41 tff(7966,plain,
% 20.16/20.41 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7965, 863, 7959])).
% 20.16/20.41 tff(7967,plain,
% 20.16/20.41 (m_main_v_turn(s94, c_1)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7966, 7955, 7792, 7860])).
% 20.16/20.41 tff(7968,plain,
% 20.16/20.41 (((~![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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7969,plain,
% 20.16/20.41 ((~![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)))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7970,plain,
% 20.16/20.41 ((~![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))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7969, 7968])).
% 20.16/20.41 tff(7971,plain,
% 20.16/20.41 (~m_main_v_turn(s94, c_2)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7970, 322, 7967])).
% 20.16/20.41 tff(7972,plain,
% 20.16/20.41 (((~![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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7973,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7974,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 20.16/20.41 tff(7975,plain,
% 20.16/20.41 (~node12(s94)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7974, 350, 7971])).
% 20.16/20.41 tff(7976,plain,
% 20.16/20.41 (((~![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)))),
% 20.16/20.41 inference(rewrite,[status(thm)],[])).
% 20.16/20.41 tff(7977,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 20.16/20.41 inference(quant_inst,[status(thm)],[])).
% 20.16/20.41 tff(7978,plain,
% 20.16/20.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 20.16/20.41 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 20.16/20.41 tff(7979,plain,
% 20.16/20.41 (~node8(s94)),
% 20.16/20.41 inference(unit_resolution,[status(thm)],[7978, 383, 7908])).
% 20.16/20.41 tff(7980,plain,
% 20.16/20.41 (((~![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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(7981,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(7982,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 20.16/20.42 tff(7983,plain,
% 20.16/20.42 (~node9(s94)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7982, 311, 7908])).
% 20.16/20.42 tff(7984,plain,
% 20.16/20.42 (((~![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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(7985,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(7986,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[7985, 7984])).
% 20.16/20.42 tff(7987,plain,
% 20.16/20.42 (~node10(s94)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7986, 372, 7908])).
% 20.16/20.42 tff(7988,plain,
% 20.16/20.42 (((~![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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(7989,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(7990,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 20.16/20.42 tff(7991,plain,
% 20.16/20.42 (~node11(s94)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7990, 361, 7928])).
% 20.16/20.42 tff(7992,plain,
% 20.16/20.42 (((~![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))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(7993,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(7994,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 20.16/20.42 tff(7995,plain,
% 20.16/20.42 (node14(s94, s95)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7994, 130, 7939])).
% 20.16/20.42 tff(7996,plain,
% 20.16/20.42 (((~![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(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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(7997,plain,
% 20.16/20.42 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(7998,plain,
% 20.16/20.42 ((~![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(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 20.16/20.42 tff(7999,plain,
% 20.16/20.42 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7998, 401, 7995])).
% 20.16/20.42 tff(8000,plain,
% 20.16/20.42 (node13(s94, s95)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[7999, 7991, 7916, 7987, 7983, 7979, 7975])).
% 20.16/20.42 tff(8001,plain,
% 20.16/20.42 (((~![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(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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8002,plain,
% 20.16/20.42 (((~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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8003,plain,
% 20.16/20.42 (((~![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))))),
% 20.16/20.42 inference(monotonicity,[status(thm)],[8002])).
% 20.16/20.42 tff(8004,plain,
% 20.16/20.42 (((~![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)))),
% 20.16/20.42 inference(transitivity,[status(thm)],[8003, 8001])).
% 20.16/20.42 tff(8005,plain,
% 20.16/20.42 ((~![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))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8006,plain,
% 20.16/20.42 ((~![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(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 20.16/20.42 tff(8007,plain,
% 20.16/20.42 (m_main_v_state2(s95, c_t2)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8006, 563, 7904, 8000])).
% 20.16/20.42 tff(8008,plain,
% 20.16/20.42 (succ(s95, s96) <=> succ(s95, s96)),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8009,axiom,(succ(s95, s96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound96')).
% 20.16/20.42 tff(8010,plain,
% 20.16/20.42 (succ(s95, s96)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 20.16/20.42 tff(8011,plain,
% 20.16/20.42 (((~![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))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8012,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8013,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 20.16/20.42 tff(8014,plain,
% 20.16/20.42 (trans(s95, s96)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8013, 8010, 57])).
% 20.16/20.42 tff(8015,plain,
% 20.16/20.42 (((~![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))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8016,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8017,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 20.16/20.42 tff(8018,plain,
% 20.16/20.42 (node7(s95, s96)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8017, 217, 8014])).
% 20.16/20.42 tff(8019,plain,
% 20.16/20.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8020,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8021,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 20.16/20.42 tff(8022,plain,
% 20.16/20.42 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8021, 598, 8018])).
% 20.16/20.42 tff(8023,plain,
% 20.16/20.42 (m_main_v_state1(s96, c_t1)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8022, 8007, 7951])).
% 20.16/20.42 tff(8024,plain,
% 20.16/20.42 (((~![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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8025,plain,
% 20.16/20.42 ((~![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)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8026,plain,
% 20.16/20.42 ((~![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))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 20.16/20.42 tff(8027,plain,
% 20.16/20.42 (~m_main_v_state1(s96, c_n1)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8026, 35, 8023])).
% 20.16/20.42 tff(8028,plain,
% 20.16/20.42 (((~![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)))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8029,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8030,plain,
% 20.16/20.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 20.16/20.42 tff(8031,plain,
% 20.16/20.42 (~node1(s96)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8030, 249, 8027])).
% 20.16/20.42 tff(8032,plain,
% 20.16/20.42 (((~![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))),
% 20.16/20.42 inference(rewrite,[status(thm)],[])).
% 20.16/20.42 tff(8033,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 20.16/20.42 inference(quant_inst,[status(thm)],[])).
% 20.16/20.42 tff(8034,plain,
% 20.16/20.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 20.16/20.42 inference(modus_ponens,[status(thm)],[8033, 8032])).
% 20.16/20.42 tff(8035,plain,
% 20.16/20.42 (node18(s95, s96)),
% 20.16/20.42 inference(unit_resolution,[status(thm)],[8034, 71, 8014])).
% 20.16/20.42 tff(8036,plain,
% 20.16/20.42 (((~![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(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))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8037,plain,
% 20.16/20.43 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8038,plain,
% 20.16/20.43 ((~![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(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2)),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 20.16/20.43 tff(8039,plain,
% 20.16/20.43 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8038, 625, 8035])).
% 20.16/20.43 tff(8040,plain,
% 20.16/20.43 (m_main_v_turn(s96, c_2)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8039, 8007, 7951])).
% 20.16/20.43 tff(8041,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8042,plain,
% 20.16/20.43 ((~![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)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8043,plain,
% 20.16/20.43 ((~![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))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 20.16/20.43 tff(8044,plain,
% 20.16/20.43 (~m_main_v_turn(s96, c_1)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8043, 322, 8040])).
% 20.16/20.43 tff(8045,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8046,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8047,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 20.16/20.43 tff(8048,plain,
% 20.16/20.43 (~node5(s96)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8047, 641, 8044])).
% 20.16/20.43 tff(8049,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8050,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8051,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 20.16/20.43 tff(8052,plain,
% 20.16/20.43 (~node2(s96)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8051, 652, 8027])).
% 20.16/20.43 tff(8053,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8054,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8055,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8054, 8053])).
% 20.16/20.43 tff(8056,plain,
% 20.16/20.43 (~node3(s96)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8055, 663, 8027])).
% 20.16/20.43 tff(8057,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8058,plain,
% 20.16/20.43 ((~![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)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8059,plain,
% 20.16/20.43 ((~![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))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 20.16/20.43 tff(8060,plain,
% 20.16/20.43 (~m_main_v_state1(s96, c_c1)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8059, 289, 8023])).
% 20.16/20.43 tff(8061,plain,
% 20.16/20.43 (((~![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(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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8062,plain,
% 20.16/20.43 (((~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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8063,plain,
% 20.16/20.43 (((~![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))))),
% 20.16/20.43 inference(monotonicity,[status(thm)],[8062])).
% 20.16/20.43 tff(8064,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(transitivity,[status(thm)],[8063, 8061])).
% 20.16/20.43 tff(8065,plain,
% 20.16/20.43 ((~![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)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8066,plain,
% 20.16/20.43 ((~![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(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8065, 8064])).
% 20.16/20.43 tff(8067,plain,
% 20.16/20.43 (~m_main_v_state2(s95, c_n2)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8066, 416, 7908, 8000])).
% 20.16/20.43 tff(8068,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8069,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8070,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 20.16/20.43 tff(8071,plain,
% 20.16/20.43 (~node9(s95)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8070, 311, 8067])).
% 20.16/20.43 tff(8072,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8073,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8074,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8073, 8072])).
% 20.16/20.43 tff(8075,plain,
% 20.16/20.43 (~node10(s95)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8074, 372, 8067])).
% 20.16/20.43 tff(8076,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8077,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8078,plain,
% 20.16/20.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 20.16/20.43 tff(8079,plain,
% 20.16/20.43 (~node8(s95)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8078, 383, 8067])).
% 20.16/20.43 tff(8080,plain,
% 20.16/20.43 (((~![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))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8081,plain,
% 20.16/20.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8082,plain,
% 20.16/20.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 20.16/20.43 tff(8083,plain,
% 20.16/20.43 (node14(s95, s96)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8082, 130, 8014])).
% 20.16/20.43 tff(8084,plain,
% 20.16/20.43 (((~![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(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))),
% 20.16/20.43 inference(rewrite,[status(thm)],[])).
% 20.16/20.43 tff(8085,plain,
% 20.16/20.43 ((~![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(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))),
% 20.16/20.43 inference(quant_inst,[status(thm)],[])).
% 20.16/20.43 tff(8086,plain,
% 20.16/20.43 ((~![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(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)),
% 20.16/20.43 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 20.16/20.43 tff(8087,plain,
% 20.16/20.43 ((~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)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8086, 704, 8083])).
% 20.16/20.43 tff(8088,plain,
% 20.16/20.43 (m_main_v_state2(s96, c_c2)),
% 20.16/20.43 inference(unit_resolution,[status(thm)],[8087, 8079, 7951, 8007, 8075, 8071])).
% 20.16/20.43 tff(8089,plain,
% 20.16/20.43 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8090,plain,
% 20.16/20.44 ((~![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)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8091,plain,
% 20.16/20.44 ((~![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))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8090, 8089])).
% 20.16/20.44 tff(8092,plain,
% 20.16/20.44 (~m_main_v_state2(s96, c_n2)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8091, 716, 8088])).
% 20.16/20.44 tff(8093,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8094,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8095,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 20.16/20.44 tff(8096,plain,
% 20.16/20.44 (~node4(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8095, 162, 8092])).
% 20.16/20.44 tff(8097,plain,
% 20.16/20.44 (succ(s96, s97) <=> succ(s96, s97)),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8098,axiom,(succ(s96, s97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound97')).
% 20.16/20.44 tff(8099,plain,
% 20.16/20.44 (succ(s96, s97)),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 20.16/20.44 tff(8100,plain,
% 20.16/20.44 (((~![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))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8101,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8102,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 20.16/20.44 tff(8103,plain,
% 20.16/20.44 (trans(s96, s97)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8102, 8099, 57])).
% 20.16/20.44 tff(8104,plain,
% 20.16/20.44 (((~![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))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8105,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8106,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 20.16/20.44 tff(8107,plain,
% 20.16/20.44 (node7(s96, s97)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8106, 217, 8103])).
% 20.16/20.44 tff(8108,plain,
% 20.16/20.44 (((~![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(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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8109,plain,
% 20.16/20.44 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8110,plain,
% 20.16/20.44 ((~![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(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 20.16/20.44 tff(8111,plain,
% 20.16/20.44 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8110, 745, 8107])).
% 20.16/20.44 tff(8112,plain,
% 20.16/20.44 (node6(s96, s97)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8111, 8096, 8060, 8056, 8052, 8048, 8031])).
% 20.16/20.44 tff(8113,plain,
% 20.16/20.44 (((~![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(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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8114,plain,
% 20.16/20.44 (((~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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8115,plain,
% 20.16/20.44 (((~![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))))),
% 20.16/20.44 inference(monotonicity,[status(thm)],[8114])).
% 20.16/20.44 tff(8116,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(transitivity,[status(thm)],[8115, 8113])).
% 20.16/20.44 tff(8117,plain,
% 20.16/20.44 ((~![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))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8118,plain,
% 20.16/20.44 ((~![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(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 20.16/20.44 tff(8119,plain,
% 20.16/20.44 (m_main_v_state1(s97, c_t1)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8118, 760, 8023, 8112])).
% 20.16/20.44 tff(8120,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8121,plain,
% 20.16/20.44 ((~![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)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8122,plain,
% 20.16/20.44 ((~![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))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 20.16/20.44 tff(8123,plain,
% 20.16/20.44 (~m_main_v_state2(s96, c_t2)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8122, 173, 8088])).
% 20.16/20.44 tff(8124,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8125,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8126,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 20.16/20.44 tff(8127,plain,
% 20.16/20.44 (~node12(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8126, 778, 8123])).
% 20.16/20.44 tff(8128,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8129,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8130,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 20.16/20.44 tff(8131,plain,
% 20.16/20.44 (~node11(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8130, 361, 8027])).
% 20.16/20.44 tff(8132,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8133,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8134,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 20.16/20.44 tff(8135,plain,
% 20.16/20.44 (~node10(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8134, 793, 8060])).
% 20.16/20.44 tff(8136,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8137,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8138,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 20.16/20.44 tff(8139,plain,
% 20.16/20.44 (~node9(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8138, 804, 8027])).
% 20.16/20.44 tff(8140,plain,
% 20.16/20.44 (((~![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)))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8141,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8142,plain,
% 20.16/20.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8141, 8140])).
% 20.16/20.44 tff(8143,plain,
% 20.16/20.44 (~node8(s96)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8142, 383, 8092])).
% 20.16/20.44 tff(8144,plain,
% 20.16/20.44 (((~![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))),
% 20.16/20.44 inference(rewrite,[status(thm)],[])).
% 20.16/20.44 tff(8145,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 20.16/20.44 inference(quant_inst,[status(thm)],[])).
% 20.16/20.44 tff(8146,plain,
% 20.16/20.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 20.16/20.44 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 20.16/20.44 tff(8147,plain,
% 20.16/20.44 (node14(s96, s97)),
% 20.16/20.44 inference(unit_resolution,[status(thm)],[8146, 130, 8103])).
% 20.16/20.44 tff(8148,plain,
% 20.16/20.44 (((~![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(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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8149,plain,
% 20.16/20.45 (((~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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8150,plain,
% 20.16/20.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.16/20.45 inference(monotonicity,[status(thm)],[8149])).
% 20.16/20.45 tff(8151,plain,
% 20.16/20.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.16/20.45 inference(transitivity,[status(thm)],[8150, 8148])).
% 20.16/20.45 tff(8152,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8153,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8152, 8151])).
% 20.16/20.45 tff(8154,plain,
% 20.16/20.45 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8153, 826, 8147])).
% 20.16/20.45 tff(8155,plain,
% 20.16/20.45 (m_main_v_state2(s97, c_n2)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8154, 8143, 8088, 8139, 8135, 8131, 8127])).
% 20.16/20.45 tff(8156,plain,
% 20.16/20.45 (((~![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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8157,plain,
% 20.16/20.45 ((~![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)))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8158,plain,
% 20.16/20.45 ((~![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))),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 20.16/20.45 tff(8159,plain,
% 20.16/20.45 (~m_main_v_state2(s97, c_t2)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8158, 10, 8155])).
% 20.16/20.45 tff(8160,plain,
% 20.16/20.45 (((~![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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8161,plain,
% 20.16/20.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8162,plain,
% 20.16/20.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97))),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 20.16/20.45 tff(8163,plain,
% 20.16/20.45 (~node15(s97)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8162, 21, 8159])).
% 20.16/20.45 tff(8164,plain,
% 20.16/20.45 (succ(s97, s98) <=> succ(s97, s98)),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8165,axiom,(succ(s97, s98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound98')).
% 20.16/20.45 tff(8166,plain,
% 20.16/20.45 (succ(s97, s98)),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 20.16/20.45 tff(8167,plain,
% 20.16/20.45 (((~![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))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8168,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8169,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 20.16/20.45 tff(8170,plain,
% 20.16/20.45 (trans(s97, s98)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8169, 8166, 57])).
% 20.16/20.45 tff(8171,plain,
% 20.16/20.45 (((~![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))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8172,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8173,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98)),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 20.16/20.45 tff(8174,plain,
% 20.16/20.45 (node18(s97, s98)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8173, 71, 8170])).
% 20.16/20.45 tff(8175,plain,
% 20.16/20.45 (((~![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(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))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8176,plain,
% 20.16/20.45 (((~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))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8177,plain,
% 20.16/20.45 (((~![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(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)))),
% 20.16/20.45 inference(monotonicity,[status(thm)],[8176])).
% 20.16/20.45 tff(8178,plain,
% 20.16/20.45 (((~![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(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))),
% 20.16/20.45 inference(transitivity,[status(thm)],[8177, 8175])).
% 20.16/20.45 tff(8179,plain,
% 20.16/20.45 ((~![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(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8180,plain,
% 20.16/20.45 ((~![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(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)),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8179, 8178])).
% 20.16/20.45 tff(8181,plain,
% 20.16/20.45 (node15(s97) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8180, 863, 8174])).
% 20.16/20.45 tff(8182,plain,
% 20.16/20.45 (m_main_v_turn(s98, c_1)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8181, 8163, 8155, 8119])).
% 20.16/20.45 tff(8183,plain,
% 20.16/20.45 (((~![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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8184,plain,
% 20.16/20.45 ((~![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)))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8185,plain,
% 20.16/20.45 ((~![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))),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 20.16/20.45 tff(8186,plain,
% 20.16/20.45 (~m_main_v_turn(s98, c_2)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8185, 322, 8182])).
% 20.16/20.45 tff(8187,plain,
% 20.16/20.45 (((~![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)))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8188,plain,
% 20.16/20.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8189,plain,
% 20.16/20.45 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98))),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 20.16/20.45 tff(8190,plain,
% 20.16/20.45 (~node12(s98)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8189, 350, 8186])).
% 20.16/20.45 tff(8191,plain,
% 20.16/20.45 (((~![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))),
% 20.16/20.45 inference(rewrite,[status(thm)],[])).
% 20.16/20.45 tff(8192,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 20.16/20.45 inference(quant_inst,[status(thm)],[])).
% 20.16/20.45 tff(8193,plain,
% 20.16/20.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 20.16/20.45 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 20.16/20.45 tff(8194,plain,
% 20.16/20.45 (node14(s97, s98)),
% 20.16/20.45 inference(unit_resolution,[status(thm)],[8193, 130, 8170])).
% 20.16/20.45 tff(8195,plain,
% 20.16/20.45 (((~![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(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))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8196,plain,
% 20.16/20.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8197,plain,
% 20.16/20.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2)),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 20.16/20.46 tff(8198,plain,
% 20.16/20.46 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8197, 893, 8194])).
% 20.16/20.46 tff(8199,plain,
% 20.16/20.46 (m_main_v_state2(s98, c_t2)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8198, 8119, 8155])).
% 20.16/20.46 tff(8200,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8201,plain,
% 20.16/20.46 ((~![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)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8202,plain,
% 20.16/20.46 ((~![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))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 20.16/20.46 tff(8203,plain,
% 20.16/20.46 (~m_main_v_state2(s98, c_n2)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8202, 10, 8199])).
% 20.16/20.46 tff(8204,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8205,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8206,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 20.16/20.46 tff(8207,plain,
% 20.16/20.46 (~node8(s98)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8206, 383, 8203])).
% 20.16/20.46 tff(8208,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8209,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8210,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 20.16/20.46 tff(8211,plain,
% 20.16/20.46 (~node9(s98)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8210, 311, 8203])).
% 20.16/20.46 tff(8212,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8213,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8214,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 20.16/20.46 tff(8215,plain,
% 20.16/20.46 (~node10(s98)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8214, 372, 8203])).
% 20.16/20.46 tff(8216,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8217,plain,
% 20.16/20.46 ((~![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)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8218,plain,
% 20.16/20.46 ((~![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))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 20.16/20.46 tff(8219,plain,
% 20.16/20.46 (~m_main_v_state2(s98, c_c2)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8218, 173, 8199])).
% 20.16/20.46 tff(8220,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8221,plain,
% 20.16/20.46 ((~![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)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8222,plain,
% 20.16/20.46 ((~![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))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8221, 8220])).
% 20.16/20.46 tff(8223,plain,
% 20.16/20.46 (~m_main_v_state2(s97, c_c2)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8222, 716, 8155])).
% 20.16/20.46 tff(8224,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8225,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8226,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 20.16/20.46 tff(8227,plain,
% 20.16/20.46 (~node3(s97)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8226, 184, 8223])).
% 20.16/20.46 tff(8228,plain,
% 20.16/20.46 (((~![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(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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8229,plain,
% 20.16/20.46 (((~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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8230,plain,
% 20.16/20.46 (((~![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))))),
% 20.16/20.46 inference(monotonicity,[status(thm)],[8229])).
% 20.16/20.46 tff(8231,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(transitivity,[status(thm)],[8230, 8228])).
% 20.16/20.46 tff(8232,plain,
% 20.16/20.46 ((~![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)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8233,plain,
% 20.16/20.46 ((~![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(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 20.16/20.46 tff(8234,plain,
% 20.16/20.46 (~m_main_v_state1(s97, c_n1)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8233, 936, 8027, 8112])).
% 20.16/20.46 tff(8235,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8236,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8237,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 20.16/20.46 tff(8238,plain,
% 20.16/20.46 (~node2(s97)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8237, 652, 8234])).
% 20.16/20.46 tff(8239,plain,
% 20.16/20.46 (((~![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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8240,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8241,plain,
% 20.16/20.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 20.16/20.46 tff(8242,plain,
% 20.16/20.46 (~node1(s97)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8241, 206, 8159])).
% 20.16/20.46 tff(8243,plain,
% 20.16/20.46 (((~![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))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8244,plain,
% 20.16/20.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 20.16/20.46 inference(quant_inst,[status(thm)],[])).
% 20.16/20.46 tff(8245,plain,
% 20.16/20.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 20.16/20.46 inference(modus_ponens,[status(thm)],[8244, 8243])).
% 20.16/20.46 tff(8246,plain,
% 20.16/20.46 (node7(s97, s98)),
% 20.16/20.46 inference(unit_resolution,[status(thm)],[8245, 217, 8170])).
% 20.16/20.46 tff(8247,plain,
% 20.16/20.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8248,plain,
% 20.16/20.46 (((~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)))),
% 20.16/20.46 inference(rewrite,[status(thm)],[])).
% 20.16/20.46 tff(8249,plain,
% 20.16/20.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.16/20.47 inference(monotonicity,[status(thm)],[8248])).
% 20.16/20.47 tff(8250,plain,
% 20.16/20.47 (((~![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(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)))),
% 20.16/20.47 inference(transitivity,[status(thm)],[8249, 8247])).
% 20.16/20.47 tff(8251,plain,
% 20.16/20.47 ((~![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(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))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8252,plain,
% 20.16/20.47 ((~![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(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))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 20.16/20.47 tff(8253,plain,
% 20.16/20.47 ((~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)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8252, 965, 8246])).
% 20.16/20.47 tff(8254,plain,
% 20.16/20.47 (m_main_v_state1(s98, c_c1)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8253, 8242, 8155, 8119, 8238, 8227])).
% 20.16/20.47 tff(8255,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8256,plain,
% 20.16/20.47 ((~![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)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8257,plain,
% 20.16/20.47 ((~![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))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 20.16/20.47 tff(8258,plain,
% 20.16/20.47 (~m_main_v_state1(s98, c_n1)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8257, 449, 8254])).
% 20.16/20.47 tff(8259,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8260,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8261,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 20.16/20.47 tff(8262,plain,
% 20.16/20.47 (~node11(s98)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8261, 361, 8258])).
% 20.16/20.47 tff(8263,plain,
% 20.16/20.47 (succ(s98, s99) <=> succ(s98, s99)),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8264,axiom,(succ(s98, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound99')).
% 20.16/20.47 tff(8265,plain,
% 20.16/20.47 (succ(s98, s99)),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 20.16/20.47 tff(8266,plain,
% 20.16/20.47 (((~![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))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8267,plain,
% 20.16/20.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8268,plain,
% 20.16/20.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 20.16/20.47 tff(8269,plain,
% 20.16/20.47 (trans(s98, s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8268, 8265, 57])).
% 20.16/20.47 tff(8270,plain,
% 20.16/20.47 (((~![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))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8271,plain,
% 20.16/20.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8272,plain,
% 20.16/20.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99)),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8271, 8270])).
% 20.16/20.47 tff(8273,plain,
% 20.16/20.47 (node14(s98, s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8272, 130, 8269])).
% 20.16/20.47 tff(8274,plain,
% 20.16/20.47 (((~![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(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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8275,plain,
% 20.16/20.47 ((~![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(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8276,plain,
% 20.16/20.47 ((~![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(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8275, 8274])).
% 20.16/20.47 tff(8277,plain,
% 20.16/20.47 (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8276, 401, 8273])).
% 20.16/20.47 tff(8278,plain,
% 20.16/20.47 (node13(s98, s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8277, 8262, 8219, 8215, 8211, 8207, 8190])).
% 20.16/20.47 tff(8279,plain,
% 20.16/20.47 (((~![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(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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8280,plain,
% 20.16/20.47 (((~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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8281,plain,
% 20.16/20.47 (((~![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))))),
% 20.16/20.47 inference(monotonicity,[status(thm)],[8280])).
% 20.16/20.47 tff(8282,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(transitivity,[status(thm)],[8281, 8279])).
% 20.16/20.47 tff(8283,plain,
% 20.16/20.47 ((~![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)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8284,plain,
% 20.16/20.47 ((~![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(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8283, 8282])).
% 20.16/20.47 tff(8285,plain,
% 20.16/20.47 (~m_main_v_state2(s99, c_n2)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8284, 416, 8203, 8278])).
% 20.16/20.47 tff(8286,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8287,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8288,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8287, 8286])).
% 20.16/20.47 tff(8289,plain,
% 20.16/20.47 (~node9(s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8288, 311, 8285])).
% 20.16/20.47 tff(8290,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8291,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8292,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8291, 8290])).
% 20.16/20.47 tff(8293,plain,
% 20.16/20.47 (~node10(s99)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8292, 372, 8285])).
% 20.16/20.47 tff(8294,plain,
% 20.16/20.47 (((~![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(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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8295,plain,
% 20.16/20.47 (((~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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8296,plain,
% 20.16/20.47 (((~![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))))),
% 20.16/20.47 inference(monotonicity,[status(thm)],[8295])).
% 20.16/20.47 tff(8297,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(transitivity,[status(thm)],[8296, 8294])).
% 20.16/20.47 tff(8298,plain,
% 20.16/20.47 ((~![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))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8299,plain,
% 20.16/20.47 ((~![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(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 20.16/20.47 tff(8300,plain,
% 20.16/20.47 (m_main_v_state2(s99, c_t2)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8299, 563, 8199, 8278])).
% 20.16/20.47 tff(8301,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8302,plain,
% 20.16/20.47 ((~![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)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8303,plain,
% 20.16/20.47 ((~![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))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 20.16/20.47 tff(8304,plain,
% 20.16/20.47 (~m_main_v_state1(s98, c_t1)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8303, 289, 8254])).
% 20.16/20.47 tff(8305,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8306,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8307,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 20.16/20.47 tff(8308,plain,
% 20.16/20.47 (~node5(s98)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8307, 300, 8304])).
% 20.16/20.47 tff(8309,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8310,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8311,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 20.16/20.47 tff(8312,plain,
% 20.16/20.47 (~node4(s98)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8311, 162, 8203])).
% 20.16/20.47 tff(8313,plain,
% 20.16/20.47 (((~![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)))),
% 20.16/20.47 inference(rewrite,[status(thm)],[])).
% 20.16/20.47 tff(8314,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 20.16/20.47 inference(quant_inst,[status(thm)],[])).
% 20.16/20.47 tff(8315,plain,
% 20.16/20.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 20.16/20.47 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 20.16/20.47 tff(8316,plain,
% 20.16/20.47 (~node3(s98)),
% 20.16/20.47 inference(unit_resolution,[status(thm)],[8315, 184, 8219])).
% 20.16/20.48 tff(8317,plain,
% 20.16/20.48 (((~![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)))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8318,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8319,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8318, 8317])).
% 20.16/20.48 tff(8320,plain,
% 20.16/20.48 (~node2(s98)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8319, 195, 8203])).
% 20.16/20.48 tff(8321,plain,
% 20.16/20.48 (((~![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)))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8322,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8323,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 20.16/20.48 tff(8324,plain,
% 20.16/20.48 (~node1(s98)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8323, 249, 8258])).
% 20.16/20.48 tff(8325,plain,
% 20.16/20.48 (((~![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))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8326,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8327,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 20.16/20.48 tff(8328,plain,
% 20.16/20.48 (node7(s98, s99)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8327, 217, 8269])).
% 20.16/20.48 tff(8329,plain,
% 20.16/20.48 (((~![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(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)))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8330,plain,
% 20.16/20.48 (((~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)))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8331,plain,
% 20.16/20.48 (((~![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(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))))),
% 20.16/20.48 inference(monotonicity,[status(thm)],[8330])).
% 20.16/20.48 tff(8332,plain,
% 20.16/20.48 (((~![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(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)))),
% 20.16/20.48 inference(transitivity,[status(thm)],[8331, 8329])).
% 20.16/20.48 tff(8333,plain,
% 20.16/20.48 ((~![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(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8334,plain,
% 20.16/20.48 ((~![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(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8333, 8332])).
% 20.16/20.48 tff(8335,plain,
% 20.16/20.48 (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8334, 478, 8328])).
% 20.16/20.48 tff(8336,plain,
% 20.16/20.48 (m_main_v_state1(s99, c_n1)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8335, 8324, 8254, 8320, 8316, 8312, 8308])).
% 20.16/20.48 tff(8337,plain,
% 20.16/20.48 (((~![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)))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8338,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8339,plain,
% 20.16/20.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99))),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 20.16/20.48 tff(8340,plain,
% 20.16/20.48 (~node8(s99)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8339, 383, 8285])).
% 20.16/20.48 tff(8341,plain,
% 20.16/20.48 (succ(s99, s100) <=> succ(s99, s100)),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8342,axiom,(succ(s99, s100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound100')).
% 20.16/20.48 tff(8343,plain,
% 20.16/20.48 (succ(s99, s100)),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 20.16/20.48 tff(8344,plain,
% 20.16/20.48 (((~![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))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8345,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8346,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 20.16/20.48 tff(8347,plain,
% 20.16/20.48 (trans(s99, s100)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8346, 8343, 57])).
% 20.16/20.48 tff(8348,plain,
% 20.16/20.48 (((~![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))),
% 20.16/20.48 inference(rewrite,[status(thm)],[])).
% 20.16/20.48 tff(8349,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))),
% 20.16/20.48 inference(quant_inst,[status(thm)],[])).
% 20.16/20.48 tff(8350,plain,
% 20.16/20.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100)),
% 20.16/20.48 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 20.16/20.48 tff(8351,plain,
% 20.16/20.48 (node14(s99, s100)),
% 20.16/20.48 inference(unit_resolution,[status(thm)],[8350, 130, 8347])).
% 20.16/20.48 tff(8352,plain,
% 20.16/20.48 (((~![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(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))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8353,plain,
% 20.24/20.49 ((~![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(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))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8354,plain,
% 20.24/20.49 ((~![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(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)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 20.24/20.49 tff(8355,plain,
% 20.24/20.49 ((~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)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8354, 704, 8351])).
% 20.24/20.49 tff(8356,plain,
% 20.24/20.49 (m_main_v_state2(s100, c_c2)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8355, 8340, 8336, 8300, 8293, 8289])).
% 20.24/20.49 tff(8357,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8358,plain,
% 20.24/20.49 ((~![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)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8359,plain,
% 20.24/20.49 ((~![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))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 20.24/20.49 tff(8360,plain,
% 20.24/20.49 (~m_main_v_state2(s100, c_t2)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8359, 173, 8356])).
% 20.24/20.49 tff(8361,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8362,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8363,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 20.24/20.49 tff(8364,plain,
% 20.24/20.49 (~node12(s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8363, 778, 8360])).
% 20.24/20.49 tff(8365,plain,
% 20.24/20.49 (((~![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))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8366,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8367,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 20.24/20.49 tff(8368,plain,
% 20.24/20.49 (node7(s99, s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8367, 217, 8347])).
% 20.24/20.49 tff(8369,plain,
% 20.24/20.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8370,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8371,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 20.24/20.49 tff(8372,plain,
% 20.24/20.49 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_state1(s100, c_t1)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8371, 598, 8368])).
% 20.24/20.49 tff(8373,plain,
% 20.24/20.49 (m_main_v_state1(s100, c_t1)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8372, 8300, 8336])).
% 20.24/20.49 tff(8374,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8375,plain,
% 20.24/20.49 ((~![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)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8376,plain,
% 20.24/20.49 ((~![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))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 20.24/20.49 tff(8377,plain,
% 20.24/20.49 (~m_main_v_state1(s100, c_n1)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8376, 35, 8373])).
% 20.24/20.49 tff(8378,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8379,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8380,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 20.24/20.49 tff(8381,plain,
% 20.24/20.49 (~node11(s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8380, 361, 8377])).
% 20.24/20.49 tff(8382,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8383,plain,
% 20.24/20.49 ((~![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)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8384,plain,
% 20.24/20.49 ((~![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))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 20.24/20.49 tff(8385,plain,
% 20.24/20.49 (~m_main_v_state1(s100, c_c1)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8384, 289, 8373])).
% 20.24/20.49 tff(8386,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8387,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8388,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8387, 8386])).
% 20.24/20.49 tff(8389,plain,
% 20.24/20.49 (~node10(s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8388, 793, 8385])).
% 20.24/20.49 tff(8390,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8391,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8392,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8391, 8390])).
% 20.24/20.49 tff(8393,plain,
% 20.24/20.49 (~node9(s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8392, 804, 8377])).
% 20.24/20.49 tff(8394,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8395,plain,
% 20.24/20.49 ((~![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)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8396,plain,
% 20.24/20.49 ((~![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))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8395, 8394])).
% 20.24/20.49 tff(8397,plain,
% 20.24/20.49 (~m_main_v_state2(s100, c_n2)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8396, 716, 8356])).
% 20.24/20.49 tff(8398,plain,
% 20.24/20.49 (((~![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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8399,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8400,plain,
% 20.24/20.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8399, 8398])).
% 20.24/20.49 tff(8401,plain,
% 20.24/20.49 (~node8(s100)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8400, 383, 8397])).
% 20.24/20.49 tff(8402,plain,
% 20.24/20.49 (succ(s100, s101) <=> succ(s100, s101)),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8403,axiom,(succ(s100, s101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound101')).
% 20.24/20.49 tff(8404,plain,
% 20.24/20.49 (succ(s100, s101)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8403, 8402])).
% 20.24/20.49 tff(8405,plain,
% 20.24/20.49 (((~![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))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8406,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8407,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 20.24/20.49 tff(8408,plain,
% 20.24/20.49 (trans(s100, s101)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8407, 8404, 57])).
% 20.24/20.49 tff(8409,plain,
% 20.24/20.49 (((~![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))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8410,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8411,plain,
% 20.24/20.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101)),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 20.24/20.49 tff(8412,plain,
% 20.24/20.49 (node14(s100, s101)),
% 20.24/20.49 inference(unit_resolution,[status(thm)],[8411, 130, 8408])).
% 20.24/20.49 tff(8413,plain,
% 20.24/20.49 (((~![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(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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8414,plain,
% 20.24/20.49 (((~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)))),
% 20.24/20.49 inference(rewrite,[status(thm)],[])).
% 20.24/20.49 tff(8415,plain,
% 20.24/20.49 (((~![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(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))))),
% 20.24/20.49 inference(monotonicity,[status(thm)],[8414])).
% 20.24/20.49 tff(8416,plain,
% 20.24/20.49 (((~![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(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)))),
% 20.24/20.49 inference(transitivity,[status(thm)],[8415, 8413])).
% 20.24/20.49 tff(8417,plain,
% 20.24/20.49 ((~![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(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))),
% 20.24/20.49 inference(quant_inst,[status(thm)],[])).
% 20.24/20.49 tff(8418,plain,
% 20.24/20.49 ((~![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(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))),
% 20.24/20.49 inference(modus_ponens,[status(thm)],[8417, 8416])).
% 20.24/20.49 tff(8419,plain,
% 20.24/20.49 (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~m_main_v_state2(s100, c_c2))),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8418, 826, 8412])).
% 20.26/20.50 tff(8420,plain,
% 20.26/20.50 (m_main_v_state2(s101, c_n2)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8419, 8401, 8356, 8393, 8389, 8381, 8364])).
% 20.26/20.50 tff(8421,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8422,plain,
% 20.26/20.50 ((~![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)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8423,plain,
% 20.26/20.50 ((~![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))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 20.26/20.50 tff(8424,plain,
% 20.26/20.50 (~m_main_v_state2(s101, c_c2)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8423, 716, 8420])).
% 20.26/20.50 tff(8425,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8426,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8427,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8426, 8425])).
% 20.26/20.50 tff(8428,plain,
% 20.26/20.50 (~node3(s101)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8427, 184, 8424])).
% 20.26/20.50 tff(8429,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8430,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8431,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 20.26/20.50 tff(8432,plain,
% 20.26/20.50 (~node1(s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8431, 249, 8377])).
% 20.26/20.50 tff(8433,plain,
% 20.26/20.50 (((~![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))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8434,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8435,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100)),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8434, 8433])).
% 20.26/20.50 tff(8436,plain,
% 20.26/20.50 (node18(s99, s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8435, 71, 8347])).
% 20.26/20.50 tff(8437,plain,
% 20.26/20.50 (((~![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(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))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8438,plain,
% 20.26/20.50 ((~![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(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8439,plain,
% 20.26/20.50 ((~![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(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2)),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 20.26/20.50 tff(8440,plain,
% 20.26/20.50 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_turn(s100, c_2)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8439, 625, 8436])).
% 20.26/20.50 tff(8441,plain,
% 20.26/20.50 (m_main_v_turn(s100, c_2)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8440, 8300, 8336])).
% 20.26/20.50 tff(8442,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8443,plain,
% 20.26/20.50 ((~![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)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8444,plain,
% 20.26/20.50 ((~![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))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 20.26/20.50 tff(8445,plain,
% 20.26/20.50 (~m_main_v_turn(s100, c_1)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8444, 322, 8441])).
% 20.26/20.50 tff(8446,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8447,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8448,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 20.26/20.50 tff(8449,plain,
% 20.26/20.50 (~node5(s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8448, 641, 8445])).
% 20.26/20.50 tff(8450,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8451,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8452,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8451, 8450])).
% 20.26/20.50 tff(8453,plain,
% 20.26/20.50 (~node2(s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8452, 652, 8377])).
% 20.26/20.50 tff(8454,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8455,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8456,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 20.26/20.50 tff(8457,plain,
% 20.26/20.50 (~node3(s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8456, 663, 8377])).
% 20.26/20.50 tff(8458,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8459,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8460,plain,
% 20.26/20.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8459, 8458])).
% 20.26/20.50 tff(8461,plain,
% 20.26/20.50 (~node4(s100)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8460, 162, 8397])).
% 20.26/20.50 tff(8462,plain,
% 20.26/20.50 (((~![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))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8463,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8464,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101)),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8463, 8462])).
% 20.26/20.50 tff(8465,plain,
% 20.26/20.50 (node7(s100, s101)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8464, 217, 8408])).
% 20.26/20.50 tff(8466,plain,
% 20.26/20.50 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8467,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 20.26/20.50 inference(quant_inst,[status(thm)],[])).
% 20.26/20.50 tff(8468,plain,
% 20.26/20.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101))),
% 20.26/20.50 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 20.26/20.50 tff(8469,plain,
% 20.26/20.50 (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8468, 745, 8465])).
% 20.26/20.50 tff(8470,plain,
% 20.26/20.50 (node6(s100, s101)),
% 20.26/20.50 inference(unit_resolution,[status(thm)],[8469, 8461, 8385, 8457, 8453, 8449, 8432])).
% 20.26/20.50 tff(8471,plain,
% 20.26/20.50 (((~![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(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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8472,plain,
% 20.26/20.50 (((~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)))),
% 20.26/20.50 inference(rewrite,[status(thm)],[])).
% 20.26/20.50 tff(8473,plain,
% 20.26/20.50 (((~![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))))),
% 20.26/20.50 inference(monotonicity,[status(thm)],[8472])).
% 20.26/20.50 tff(8474,plain,
% 20.26/20.50 (((~![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)))),
% 20.26/20.51 inference(transitivity,[status(thm)],[8473, 8471])).
% 20.26/20.51 tff(8475,plain,
% 20.26/20.51 ((~![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)))),
% 20.26/20.51 inference(quant_inst,[status(thm)],[])).
% 20.26/20.51 tff(8476,plain,
% 20.26/20.51 ((~![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(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))),
% 20.26/20.51 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 20.26/20.51 tff(8477,plain,
% 20.26/20.51 (~m_main_v_state1(s101, c_n1)),
% 20.26/20.51 inference(unit_resolution,[status(thm)],[8476, 936, 8377, 8470])).
% 20.26/20.51 tff(8478,plain,
% 20.26/20.51 (((~![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)))),
% 20.26/20.51 inference(rewrite,[status(thm)],[])).
% 20.26/20.51 tff(8479,plain,
% 20.26/20.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 20.26/20.51 inference(quant_inst,[status(thm)],[])).
% 20.26/20.51 tff(8480,plain,
% 20.26/20.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101))),
% 20.26/20.51 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 20.26/20.51 tff(8481,plain,
% 20.26/20.51 (~node2(s101)),
% 20.26/20.51 inference(unit_resolution,[status(thm)],[8480, 652, 8477])).
% 20.26/20.51 tff(8482,plain,
% 20.26/20.51 (((~![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(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)))),
% 20.26/20.51 inference(rewrite,[status(thm)],[])).
% 20.26/20.51 tff(8483,plain,
% 20.26/20.51 (((~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)))),
% 20.26/20.51 inference(rewrite,[status(thm)],[])).
% 20.26/20.51 tff(8484,plain,
% 20.26/20.51 (((~![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))))),
% 20.26/20.51 inference(monotonicity,[status(thm)],[8483])).
% 20.26/20.51 tff(8485,plain,
% 20.26/20.51 (((~![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)))),
% 20.26/20.51 inference(transitivity,[status(thm)],[8484, 8482])).
% 20.26/20.51 tff(8486,plain,
% 20.26/20.51 ((~![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))),
% 20.26/20.51 inference(quant_inst,[status(thm)],[])).
% 20.26/20.51 tff(8487,plain,
% 20.26/20.51 ((~![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(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))),
% 20.26/20.51 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 20.26/20.51 tff(8488,plain,
% 20.26/20.51 (m_main_v_state1(s101, c_t1)),
% 20.26/20.51 inference(unit_resolution,[status(thm)],[8487, 760, 8373, 8470])).
% 20.26/20.51 tff(8489,plain,
% 20.26/20.51 (((~![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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8490,plain,
% 20.27/20.51 ((~![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)))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8491,plain,
% 20.27/20.51 ((~![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))),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 20.27/20.51 tff(8492,plain,
% 20.27/20.51 (~m_main_v_state2(s101, c_t2)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8491, 10, 8420])).
% 20.27/20.51 tff(8493,plain,
% 20.27/20.51 (((~![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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8494,plain,
% 20.27/20.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8495,plain,
% 20.27/20.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101))),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 20.27/20.51 tff(8496,plain,
% 20.27/20.51 (~node1(s101)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8495, 206, 8492])).
% 20.27/20.51 tff(8497,plain,
% 20.27/20.51 (succ(s101, s102) <=> succ(s101, s102)),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8498,axiom,(succ(s101, s102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound102')).
% 20.27/20.51 tff(8499,plain,
% 20.27/20.51 (succ(s101, s102)),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8498, 8497])).
% 20.27/20.51 tff(8500,plain,
% 20.27/20.51 (((~![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))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8501,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8502,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 20.27/20.51 tff(8503,plain,
% 20.27/20.51 (trans(s101, s102)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8502, 8499, 57])).
% 20.27/20.51 tff(8504,plain,
% 20.27/20.51 (((~![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))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8505,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8506,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102)),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8505, 8504])).
% 20.27/20.51 tff(8507,plain,
% 20.27/20.51 (node7(s101, s102)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8506, 217, 8503])).
% 20.27/20.51 tff(8508,plain,
% 20.27/20.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8509,plain,
% 20.27/20.51 (((~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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8510,plain,
% 20.27/20.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.27/20.51 inference(monotonicity,[status(thm)],[8509])).
% 20.27/20.51 tff(8511,plain,
% 20.27/20.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.27/20.51 inference(transitivity,[status(thm)],[8510, 8508])).
% 20.27/20.51 tff(8512,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8513,plain,
% 20.27/20.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 20.27/20.51 tff(8514,plain,
% 20.27/20.51 ((~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)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8513, 965, 8507])).
% 20.27/20.51 tff(8515,plain,
% 20.27/20.51 (m_main_v_state1(s102, c_c1)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8514, 8496, 8420, 8488, 8481, 8428])).
% 20.27/20.51 tff(8516,plain,
% 20.27/20.51 (((~![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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8517,plain,
% 20.27/20.51 ((~![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)))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8518,plain,
% 20.27/20.51 ((~![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))),
% 20.27/20.51 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 20.27/20.51 tff(8519,plain,
% 20.27/20.51 (~m_main_v_state1(s102, c_t1)),
% 20.27/20.51 inference(unit_resolution,[status(thm)],[8518, 289, 8515])).
% 20.27/20.51 tff(8520,plain,
% 20.27/20.51 (((~![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)))),
% 20.27/20.51 inference(rewrite,[status(thm)],[])).
% 20.27/20.51 tff(8521,plain,
% 20.27/20.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 20.27/20.51 inference(quant_inst,[status(thm)],[])).
% 20.27/20.51 tff(8522,plain,
% 20.27/20.51 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 20.27/20.52 tff(8523,plain,
% 20.27/20.52 (~node5(s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8522, 300, 8519])).
% 20.27/20.52 tff(8524,plain,
% 20.27/20.52 (((~![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))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8525,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8526,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102)),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 20.27/20.52 tff(8527,plain,
% 20.27/20.52 (node14(s101, s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8526, 130, 8503])).
% 20.27/20.52 tff(8528,plain,
% 20.27/20.52 (((~![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(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))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8529,plain,
% 20.27/20.52 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8530,plain,
% 20.27/20.52 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2)),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 20.27/20.52 tff(8531,plain,
% 20.27/20.52 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state2(s102, c_t2)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8530, 893, 8527])).
% 20.27/20.52 tff(8532,plain,
% 20.27/20.52 (m_main_v_state2(s102, c_t2)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8531, 8488, 8420])).
% 20.27/20.52 tff(8533,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8534,plain,
% 20.27/20.52 ((~![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)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8535,plain,
% 20.27/20.52 ((~![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))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8534, 8533])).
% 20.27/20.52 tff(8536,plain,
% 20.27/20.52 (~m_main_v_state2(s102, c_n2)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8535, 10, 8532])).
% 20.27/20.52 tff(8537,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8538,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8539,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 20.27/20.52 tff(8540,plain,
% 20.27/20.52 (~node4(s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8539, 162, 8536])).
% 20.27/20.52 tff(8541,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8542,plain,
% 20.27/20.52 ((~![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)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8543,plain,
% 20.27/20.52 ((~![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))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 20.27/20.52 tff(8544,plain,
% 20.27/20.52 (~m_main_v_state2(s102, c_c2)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8543, 173, 8532])).
% 20.27/20.52 tff(8545,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8546,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8547,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 20.27/20.52 tff(8548,plain,
% 20.27/20.52 (~node3(s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8547, 184, 8544])).
% 20.27/20.52 tff(8549,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8550,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8551,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 20.27/20.52 tff(8552,plain,
% 20.27/20.52 (~node2(s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8551, 195, 8536])).
% 20.27/20.52 tff(8553,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8554,plain,
% 20.27/20.52 ((~![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)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8555,plain,
% 20.27/20.52 ((~![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))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 20.27/20.52 tff(8556,plain,
% 20.27/20.52 (~m_main_v_state1(s102, c_n1)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8555, 449, 8515])).
% 20.27/20.52 tff(8557,plain,
% 20.27/20.52 (((~![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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8558,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8559,plain,
% 20.27/20.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102))),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 20.27/20.52 tff(8560,plain,
% 20.27/20.52 (~node1(s102)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8559, 249, 8556])).
% 20.27/20.52 tff(8561,plain,
% 20.27/20.52 (succ(s102, s103) <=> succ(s102, s103)),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8562,axiom,(succ(s102, s103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound103')).
% 20.27/20.52 tff(8563,plain,
% 20.27/20.52 (succ(s102, s103)),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 20.27/20.52 tff(8564,plain,
% 20.27/20.52 (((~![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))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8565,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8566,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8565, 8564])).
% 20.27/20.52 tff(8567,plain,
% 20.27/20.52 (trans(s102, s103)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8566, 8563, 57])).
% 20.27/20.52 tff(8568,plain,
% 20.27/20.52 (((~![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))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8569,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))),
% 20.27/20.52 inference(quant_inst,[status(thm)],[])).
% 20.27/20.52 tff(8570,plain,
% 20.27/20.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103)),
% 20.27/20.52 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 20.27/20.52 tff(8571,plain,
% 20.27/20.52 (node7(s102, s103)),
% 20.27/20.52 inference(unit_resolution,[status(thm)],[8570, 217, 8567])).
% 20.27/20.52 tff(8572,plain,
% 20.27/20.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8573,plain,
% 20.27/20.52 (((~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)))),
% 20.27/20.52 inference(rewrite,[status(thm)],[])).
% 20.27/20.52 tff(8574,plain,
% 20.27/20.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 20.27/20.52 inference(monotonicity,[status(thm)],[8573])).
% 20.27/20.52 tff(8575,plain,
% 20.27/20.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 20.27/20.52 inference(transitivity,[status(thm)],[8574, 8572])).
% 20.27/20.53 tff(8576,plain,
% 20.27/20.53 ((~![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(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8577,plain,
% 20.27/20.53 ((~![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(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8576, 8575])).
% 20.27/20.53 tff(8578,plain,
% 20.27/20.53 (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8577, 478, 8571])).
% 20.27/20.53 tff(8579,plain,
% 20.27/20.53 (m_main_v_state1(s103, c_n1)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8578, 8560, 8515, 8552, 8548, 8540, 8523])).
% 20.27/20.53 tff(8580,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8581,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8582,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 20.27/20.53 tff(8583,plain,
% 20.27/20.53 (~node15(s101)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8582, 21, 8492])).
% 20.27/20.53 tff(8584,plain,
% 20.27/20.53 (((~![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))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8585,plain,
% 20.27/20.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8586,plain,
% 20.27/20.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102)),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 20.27/20.53 tff(8587,plain,
% 20.27/20.53 (node18(s101, s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8586, 71, 8503])).
% 20.27/20.53 tff(8588,plain,
% 20.27/20.53 (((~![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(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))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8589,plain,
% 20.27/20.53 (((~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))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8590,plain,
% 20.27/20.53 (((~![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(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)))),
% 20.27/20.53 inference(monotonicity,[status(thm)],[8589])).
% 20.27/20.53 tff(8591,plain,
% 20.27/20.53 (((~![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(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))),
% 20.27/20.53 inference(transitivity,[status(thm)],[8590, 8588])).
% 20.27/20.53 tff(8592,plain,
% 20.27/20.53 ((~![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(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8593,plain,
% 20.27/20.53 ((~![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(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)),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 20.27/20.53 tff(8594,plain,
% 20.27/20.53 (node15(s101) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8593, 863, 8587])).
% 20.27/20.53 tff(8595,plain,
% 20.27/20.53 (m_main_v_turn(s102, c_1)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8594, 8583, 8420, 8488])).
% 20.27/20.53 tff(8596,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8597,plain,
% 20.27/20.53 ((~![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)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8598,plain,
% 20.27/20.53 ((~![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))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 20.27/20.53 tff(8599,plain,
% 20.27/20.53 (~m_main_v_turn(s102, c_2)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8598, 322, 8595])).
% 20.27/20.53 tff(8600,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8601,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8602,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 20.27/20.53 tff(8603,plain,
% 20.27/20.53 (~node12(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8602, 350, 8599])).
% 20.27/20.53 tff(8604,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8605,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8606,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8605, 8604])).
% 20.27/20.53 tff(8607,plain,
% 20.27/20.53 (~node8(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8606, 383, 8536])).
% 20.27/20.53 tff(8608,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8609,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8610,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 20.27/20.53 tff(8611,plain,
% 20.27/20.53 (~node9(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8610, 311, 8536])).
% 20.27/20.53 tff(8612,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8613,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8614,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8613, 8612])).
% 20.27/20.53 tff(8615,plain,
% 20.27/20.53 (~node10(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8614, 372, 8536])).
% 20.27/20.53 tff(8616,plain,
% 20.27/20.53 (((~![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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8617,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8618,plain,
% 20.27/20.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102))),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8617, 8616])).
% 20.27/20.53 tff(8619,plain,
% 20.27/20.53 (~node11(s102)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8618, 361, 8556])).
% 20.27/20.53 tff(8620,plain,
% 20.27/20.53 (((~![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))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8621,plain,
% 20.27/20.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8622,plain,
% 20.27/20.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103)),
% 20.27/20.53 inference(modus_ponens,[status(thm)],[8621, 8620])).
% 20.27/20.53 tff(8623,plain,
% 20.27/20.53 (node14(s102, s103)),
% 20.27/20.53 inference(unit_resolution,[status(thm)],[8622, 130, 8567])).
% 20.27/20.53 tff(8624,plain,
% 20.27/20.53 (((~![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(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)))),
% 20.27/20.53 inference(rewrite,[status(thm)],[])).
% 20.27/20.53 tff(8625,plain,
% 20.27/20.53 ((~![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(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))),
% 20.27/20.53 inference(quant_inst,[status(thm)],[])).
% 20.27/20.53 tff(8626,plain,
% 20.27/20.53 ((~![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(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8625, 8624])).
% 20.27/20.54 tff(8627,plain,
% 20.27/20.54 (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8626, 401, 8623])).
% 20.27/20.54 tff(8628,plain,
% 20.27/20.54 (node13(s102, s103)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8627, 8619, 8544, 8615, 8611, 8607, 8603])).
% 20.27/20.54 tff(8629,plain,
% 20.27/20.54 (((~![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(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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8630,plain,
% 20.27/20.54 (((~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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8631,plain,
% 20.27/20.54 (((~![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))))),
% 20.27/20.54 inference(monotonicity,[status(thm)],[8630])).
% 20.27/20.54 tff(8632,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(transitivity,[status(thm)],[8631, 8629])).
% 20.27/20.54 tff(8633,plain,
% 20.27/20.54 ((~![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))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8634,plain,
% 20.27/20.54 ((~![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(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8633, 8632])).
% 20.27/20.54 tff(8635,plain,
% 20.27/20.54 (m_main_v_state2(s103, c_t2)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8634, 563, 8532, 8628])).
% 20.27/20.54 tff(8636,plain,
% 20.27/20.54 (succ(s103, s104) <=> succ(s103, s104)),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8637,axiom,(succ(s103, s104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound104')).
% 20.27/20.54 tff(8638,plain,
% 20.27/20.54 (succ(s103, s104)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 20.27/20.54 tff(8639,plain,
% 20.27/20.54 (((~![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))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8640,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8641,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 20.27/20.54 tff(8642,plain,
% 20.27/20.54 (trans(s103, s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8641, 8638, 57])).
% 20.27/20.54 tff(8643,plain,
% 20.27/20.54 (((~![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))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8644,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8645,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 20.27/20.54 tff(8646,plain,
% 20.27/20.54 (node7(s103, s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8645, 217, 8642])).
% 20.27/20.54 tff(8647,plain,
% 20.27/20.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8648,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8649,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 20.27/20.54 tff(8650,plain,
% 20.27/20.54 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_state1(s104, c_t1)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8649, 598, 8646])).
% 20.27/20.54 tff(8651,plain,
% 20.27/20.54 (m_main_v_state1(s104, c_t1)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8650, 8635, 8579])).
% 20.27/20.54 tff(8652,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8653,plain,
% 20.27/20.54 ((~![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)))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8654,plain,
% 20.27/20.54 ((~![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))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 20.27/20.54 tff(8655,plain,
% 20.27/20.54 (~m_main_v_state1(s104, c_n1)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8654, 35, 8651])).
% 20.27/20.54 tff(8656,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8657,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8658,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8657, 8656])).
% 20.27/20.54 tff(8659,plain,
% 20.27/20.54 (~node1(s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8658, 249, 8655])).
% 20.27/20.54 tff(8660,plain,
% 20.27/20.54 (((~![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))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8661,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8662,plain,
% 20.27/20.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8661, 8660])).
% 20.27/20.54 tff(8663,plain,
% 20.27/20.54 (node18(s103, s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8662, 71, 8642])).
% 20.27/20.54 tff(8664,plain,
% 20.27/20.54 (((~![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(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))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8665,plain,
% 20.27/20.54 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8666,plain,
% 20.27/20.54 ((~![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(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2)),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 20.27/20.54 tff(8667,plain,
% 20.27/20.54 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_turn(s104, c_2)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8666, 625, 8663])).
% 20.27/20.54 tff(8668,plain,
% 20.27/20.54 (m_main_v_turn(s104, c_2)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8667, 8635, 8579])).
% 20.27/20.54 tff(8669,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8670,plain,
% 20.27/20.54 ((~![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)))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8671,plain,
% 20.27/20.54 ((~![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))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 20.27/20.54 tff(8672,plain,
% 20.27/20.54 (~m_main_v_turn(s104, c_1)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8671, 322, 8668])).
% 20.27/20.54 tff(8673,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8674,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8675,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 20.27/20.54 tff(8676,plain,
% 20.27/20.54 (~node5(s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8675, 641, 8672])).
% 20.27/20.54 tff(8677,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.54 tff(8678,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 20.27/20.54 inference(quant_inst,[status(thm)],[])).
% 20.27/20.54 tff(8679,plain,
% 20.27/20.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104))),
% 20.27/20.54 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 20.27/20.54 tff(8680,plain,
% 20.27/20.54 (~node2(s104)),
% 20.27/20.54 inference(unit_resolution,[status(thm)],[8679, 652, 8655])).
% 20.27/20.54 tff(8681,plain,
% 20.27/20.54 (((~![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)))),
% 20.27/20.54 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8682,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8683,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 20.27/20.55 tff(8684,plain,
% 20.27/20.55 (~node3(s104)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8683, 663, 8655])).
% 20.27/20.55 tff(8685,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8686,plain,
% 20.27/20.55 ((~![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)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8687,plain,
% 20.27/20.55 ((~![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))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 20.27/20.55 tff(8688,plain,
% 20.27/20.55 (~m_main_v_state1(s104, c_c1)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8687, 289, 8651])).
% 20.27/20.55 tff(8689,plain,
% 20.27/20.55 (((~![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(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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8690,plain,
% 20.27/20.55 (((~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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8691,plain,
% 20.27/20.55 (((~![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))))),
% 20.27/20.55 inference(monotonicity,[status(thm)],[8690])).
% 20.27/20.55 tff(8692,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(transitivity,[status(thm)],[8691, 8689])).
% 20.27/20.55 tff(8693,plain,
% 20.27/20.55 ((~![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)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8694,plain,
% 20.27/20.55 ((~![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(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 20.27/20.55 tff(8695,plain,
% 20.27/20.55 (~m_main_v_state2(s103, c_n2)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8694, 416, 8536, 8628])).
% 20.27/20.55 tff(8696,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8697,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8698,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 20.27/20.55 tff(8699,plain,
% 20.27/20.55 (~node9(s103)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8698, 311, 8695])).
% 20.27/20.55 tff(8700,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8701,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8702,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8701, 8700])).
% 20.27/20.55 tff(8703,plain,
% 20.27/20.55 (~node10(s103)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8702, 372, 8695])).
% 20.27/20.55 tff(8704,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8705,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8706,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 20.27/20.55 tff(8707,plain,
% 20.27/20.55 (~node8(s103)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8706, 383, 8695])).
% 20.27/20.55 tff(8708,plain,
% 20.27/20.55 (((~![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))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8709,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8710,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104)),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8709, 8708])).
% 20.27/20.55 tff(8711,plain,
% 20.27/20.55 (node14(s103, s104)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8710, 130, 8642])).
% 20.27/20.55 tff(8712,plain,
% 20.27/20.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8713,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8714,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8713, 8712])).
% 20.27/20.55 tff(8715,plain,
% 20.27/20.55 ((~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)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8714, 704, 8711])).
% 20.27/20.55 tff(8716,plain,
% 20.27/20.55 (m_main_v_state2(s104, c_c2)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8715, 8707, 8579, 8635, 8703, 8699])).
% 20.27/20.55 tff(8717,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8718,plain,
% 20.27/20.55 ((~![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)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8719,plain,
% 20.27/20.55 ((~![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))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8718, 8717])).
% 20.27/20.55 tff(8720,plain,
% 20.27/20.55 (~m_main_v_state2(s104, c_n2)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8719, 716, 8716])).
% 20.27/20.55 tff(8721,plain,
% 20.27/20.55 (((~![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)))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8722,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8723,plain,
% 20.27/20.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104))),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 20.27/20.55 tff(8724,plain,
% 20.27/20.55 (~node4(s104)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8723, 162, 8720])).
% 20.27/20.55 tff(8725,plain,
% 20.27/20.55 (succ(s104, s105) <=> succ(s104, s105)),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8726,axiom,(succ(s104, s105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound105')).
% 20.27/20.55 tff(8727,plain,
% 20.27/20.55 (succ(s104, s105)),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 20.27/20.55 tff(8728,plain,
% 20.27/20.55 (((~![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))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8729,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8730,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 20.27/20.55 tff(8731,plain,
% 20.27/20.55 (trans(s104, s105)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8730, 8727, 57])).
% 20.27/20.55 tff(8732,plain,
% 20.27/20.55 (((~![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))),
% 20.27/20.55 inference(rewrite,[status(thm)],[])).
% 20.27/20.55 tff(8733,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))),
% 20.27/20.55 inference(quant_inst,[status(thm)],[])).
% 20.27/20.55 tff(8734,plain,
% 20.27/20.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105)),
% 20.27/20.55 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 20.27/20.55 tff(8735,plain,
% 20.27/20.55 (node7(s104, s105)),
% 20.27/20.55 inference(unit_resolution,[status(thm)],[8734, 217, 8731])).
% 20.27/20.55 tff(8736,plain,
% 20.27/20.55 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8737,plain,
% 20.27/20.56 ((~![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(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8738,plain,
% 20.27/20.56 ((~![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(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 20.27/20.56 tff(8739,plain,
% 20.27/20.56 (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8738, 745, 8735])).
% 20.27/20.56 tff(8740,plain,
% 20.27/20.56 (node6(s104, s105)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8739, 8724, 8688, 8684, 8680, 8676, 8659])).
% 20.27/20.56 tff(8741,plain,
% 20.27/20.56 (((~![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(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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8742,plain,
% 20.27/20.56 (((~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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8743,plain,
% 20.27/20.56 (((~![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))))),
% 20.27/20.56 inference(monotonicity,[status(thm)],[8742])).
% 20.27/20.56 tff(8744,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(transitivity,[status(thm)],[8743, 8741])).
% 20.27/20.56 tff(8745,plain,
% 20.27/20.56 ((~![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))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8746,plain,
% 20.27/20.56 ((~![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(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 20.27/20.56 tff(8747,plain,
% 20.27/20.56 (m_main_v_state1(s105, c_t1)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8746, 760, 8651, 8740])).
% 20.27/20.56 tff(8748,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8749,plain,
% 20.27/20.56 ((~![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)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8750,plain,
% 20.27/20.56 ((~![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))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 20.27/20.56 tff(8751,plain,
% 20.27/20.56 (~m_main_v_state2(s104, c_t2)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8750, 173, 8716])).
% 20.27/20.56 tff(8752,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8753,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8754,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 20.27/20.56 tff(8755,plain,
% 20.27/20.56 (~node12(s104)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8754, 778, 8751])).
% 20.27/20.56 tff(8756,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8757,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8758,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 20.27/20.56 tff(8759,plain,
% 20.27/20.56 (~node11(s104)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8758, 361, 8655])).
% 20.27/20.56 tff(8760,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8761,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8762,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 20.27/20.56 tff(8763,plain,
% 20.27/20.56 (~node10(s104)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8762, 793, 8688])).
% 20.27/20.56 tff(8764,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8765,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8766,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 20.27/20.56 tff(8767,plain,
% 20.27/20.56 (~node9(s104)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8766, 804, 8655])).
% 20.27/20.56 tff(8768,plain,
% 20.27/20.56 (((~![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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8769,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8770,plain,
% 20.27/20.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 20.27/20.56 tff(8771,plain,
% 20.27/20.56 (~node8(s104)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8770, 383, 8720])).
% 20.27/20.56 tff(8772,plain,
% 20.27/20.56 (((~![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))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8773,plain,
% 20.27/20.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8774,plain,
% 20.27/20.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105)),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8773, 8772])).
% 20.27/20.56 tff(8775,plain,
% 20.27/20.56 (node14(s104, s105)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8774, 130, 8731])).
% 20.27/20.56 tff(8776,plain,
% 20.27/20.56 (((~![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(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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8777,plain,
% 20.27/20.56 (((~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)))),
% 20.27/20.56 inference(rewrite,[status(thm)],[])).
% 20.27/20.56 tff(8778,plain,
% 20.27/20.56 (((~![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(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))))),
% 20.27/20.56 inference(monotonicity,[status(thm)],[8777])).
% 20.27/20.56 tff(8779,plain,
% 20.27/20.56 (((~![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(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)))),
% 20.27/20.56 inference(transitivity,[status(thm)],[8778, 8776])).
% 20.27/20.56 tff(8780,plain,
% 20.27/20.56 ((~![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(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))),
% 20.27/20.56 inference(quant_inst,[status(thm)],[])).
% 20.27/20.56 tff(8781,plain,
% 20.27/20.56 ((~![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(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))),
% 20.27/20.56 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 20.27/20.56 tff(8782,plain,
% 20.27/20.56 (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~m_main_v_state2(s104, c_c2))),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8781, 826, 8775])).
% 20.27/20.56 tff(8783,plain,
% 20.27/20.56 (m_main_v_state2(s105, c_n2)),
% 20.27/20.56 inference(unit_resolution,[status(thm)],[8782, 8771, 8716, 8767, 8763, 8759, 8755])).
% 20.27/20.57 tff(8784,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8785,plain,
% 20.27/20.57 ((~![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)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8786,plain,
% 20.27/20.57 ((~![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))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 20.27/20.57 tff(8787,plain,
% 20.27/20.57 (~m_main_v_state2(s105, c_t2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8786, 10, 8783])).
% 20.27/20.57 tff(8788,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8789,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8790,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 20.27/20.57 tff(8791,plain,
% 20.27/20.57 (~node15(s105)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8790, 21, 8787])).
% 20.27/20.57 tff(8792,plain,
% 20.27/20.57 (succ(s105, s106) <=> succ(s105, s106)),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8793,axiom,(succ(s105, s106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound106')).
% 20.27/20.57 tff(8794,plain,
% 20.27/20.57 (succ(s105, s106)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8793, 8792])).
% 20.27/20.57 tff(8795,plain,
% 20.27/20.57 (((~![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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8796,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8797,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 20.27/20.57 tff(8798,plain,
% 20.27/20.57 (trans(s105, s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8797, 8794, 57])).
% 20.27/20.57 tff(8799,plain,
% 20.27/20.57 (((~![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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8800,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8801,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 20.27/20.57 tff(8802,plain,
% 20.27/20.57 (node18(s105, s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8801, 71, 8798])).
% 20.27/20.57 tff(8803,plain,
% 20.27/20.57 (((~![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(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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8804,plain,
% 20.27/20.57 (((~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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8805,plain,
% 20.27/20.57 (((~![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(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)))),
% 20.27/20.57 inference(monotonicity,[status(thm)],[8804])).
% 20.27/20.57 tff(8806,plain,
% 20.27/20.57 (((~![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(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))),
% 20.27/20.57 inference(transitivity,[status(thm)],[8805, 8803])).
% 20.27/20.57 tff(8807,plain,
% 20.27/20.57 ((~![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(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8808,plain,
% 20.27/20.57 ((~![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(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)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 20.27/20.57 tff(8809,plain,
% 20.27/20.57 (node15(s105) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8808, 863, 8802])).
% 20.27/20.57 tff(8810,plain,
% 20.27/20.57 (m_main_v_turn(s106, c_1)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8809, 8791, 8783, 8747])).
% 20.27/20.57 tff(8811,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8812,plain,
% 20.27/20.57 ((~![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)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8813,plain,
% 20.27/20.57 ((~![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))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 20.27/20.57 tff(8814,plain,
% 20.27/20.57 (~m_main_v_turn(s106, c_2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8813, 322, 8810])).
% 20.27/20.57 tff(8815,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8816,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8817,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 20.27/20.57 tff(8818,plain,
% 20.27/20.57 (~node12(s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8817, 350, 8814])).
% 20.27/20.57 tff(8819,plain,
% 20.27/20.57 (((~![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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8820,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8821,plain,
% 20.27/20.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 20.27/20.57 tff(8822,plain,
% 20.27/20.57 (node14(s105, s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8821, 130, 8798])).
% 20.27/20.57 tff(8823,plain,
% 20.27/20.57 (((~![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(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))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8824,plain,
% 20.27/20.57 ((~![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(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8825,plain,
% 20.27/20.57 ((~![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(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2)),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8824, 8823])).
% 20.27/20.57 tff(8826,plain,
% 20.27/20.57 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state2(s106, c_t2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8825, 893, 8822])).
% 20.27/20.57 tff(8827,plain,
% 20.27/20.57 (m_main_v_state2(s106, c_t2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8826, 8747, 8783])).
% 20.27/20.57 tff(8828,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8829,plain,
% 20.27/20.57 ((~![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)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8830,plain,
% 20.27/20.57 ((~![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))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 20.27/20.57 tff(8831,plain,
% 20.27/20.57 (~m_main_v_state2(s106, c_n2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8830, 10, 8827])).
% 20.27/20.57 tff(8832,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8833,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8834,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 20.27/20.57 tff(8835,plain,
% 20.27/20.57 (~node8(s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8834, 383, 8831])).
% 20.27/20.57 tff(8836,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8837,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8838,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 20.27/20.57 tff(8839,plain,
% 20.27/20.57 (~node9(s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8838, 311, 8831])).
% 20.27/20.57 tff(8840,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8841,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8842,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 20.27/20.57 tff(8843,plain,
% 20.27/20.57 (~node10(s106)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8842, 372, 8831])).
% 20.27/20.57 tff(8844,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8845,plain,
% 20.27/20.57 ((~![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)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8846,plain,
% 20.27/20.57 ((~![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))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 20.27/20.57 tff(8847,plain,
% 20.27/20.57 (~m_main_v_state2(s106, c_c2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8846, 173, 8827])).
% 20.27/20.57 tff(8848,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8849,plain,
% 20.27/20.57 ((~![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)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8850,plain,
% 20.27/20.57 ((~![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))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8849, 8848])).
% 20.27/20.57 tff(8851,plain,
% 20.27/20.57 (~m_main_v_state2(s105, c_c2)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8850, 716, 8783])).
% 20.27/20.57 tff(8852,plain,
% 20.27/20.57 (((~![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)))),
% 20.27/20.57 inference(rewrite,[status(thm)],[])).
% 20.27/20.57 tff(8853,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 20.27/20.57 inference(quant_inst,[status(thm)],[])).
% 20.27/20.57 tff(8854,plain,
% 20.27/20.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105))),
% 20.27/20.57 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 20.27/20.57 tff(8855,plain,
% 20.27/20.57 (~node3(s105)),
% 20.27/20.57 inference(unit_resolution,[status(thm)],[8854, 184, 8851])).
% 20.27/20.57 tff(8856,plain,
% 20.27/20.57 (((~![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(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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8857,plain,
% 20.27/20.58 (((~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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8858,plain,
% 20.27/20.58 (((~![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))))),
% 20.27/20.58 inference(monotonicity,[status(thm)],[8857])).
% 20.27/20.58 tff(8859,plain,
% 20.27/20.58 (((~![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)))),
% 20.27/20.58 inference(transitivity,[status(thm)],[8858, 8856])).
% 20.27/20.58 tff(8860,plain,
% 20.27/20.58 ((~![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)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8861,plain,
% 20.27/20.58 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 20.27/20.58 tff(8862,plain,
% 20.27/20.58 (~m_main_v_state1(s105, c_n1)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8861, 936, 8655, 8740])).
% 20.27/20.58 tff(8863,plain,
% 20.27/20.58 (((~![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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8864,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8865,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 20.27/20.58 tff(8866,plain,
% 20.27/20.58 (~node2(s105)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8865, 652, 8862])).
% 20.27/20.58 tff(8867,plain,
% 20.27/20.58 (((~![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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8868,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8869,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8868, 8867])).
% 20.27/20.58 tff(8870,plain,
% 20.27/20.58 (~node1(s105)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8869, 206, 8787])).
% 20.27/20.58 tff(8871,plain,
% 20.27/20.58 (((~![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))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8872,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8873,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106)),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8872, 8871])).
% 20.27/20.58 tff(8874,plain,
% 20.27/20.58 (node7(s105, s106)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8873, 217, 8798])).
% 20.27/20.58 tff(8875,plain,
% 20.27/20.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8876,plain,
% 20.27/20.58 (((~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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8877,plain,
% 20.27/20.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.27/20.58 inference(monotonicity,[status(thm)],[8876])).
% 20.27/20.58 tff(8878,plain,
% 20.27/20.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.27/20.58 inference(transitivity,[status(thm)],[8877, 8875])).
% 20.27/20.58 tff(8879,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8880,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 20.27/20.58 tff(8881,plain,
% 20.27/20.58 ((~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)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8880, 965, 8874])).
% 20.27/20.58 tff(8882,plain,
% 20.27/20.58 (m_main_v_state1(s106, c_c1)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8881, 8870, 8783, 8747, 8866, 8855])).
% 20.27/20.58 tff(8883,plain,
% 20.27/20.58 (((~![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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8884,plain,
% 20.27/20.58 ((~![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)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8885,plain,
% 20.27/20.58 ((~![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))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 20.27/20.58 tff(8886,plain,
% 20.27/20.58 (~m_main_v_state1(s106, c_n1)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8885, 449, 8882])).
% 20.27/20.58 tff(8887,plain,
% 20.27/20.58 (((~![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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8888,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8889,plain,
% 20.27/20.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106))),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 20.27/20.58 tff(8890,plain,
% 20.27/20.58 (~node11(s106)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8889, 361, 8886])).
% 20.27/20.58 tff(8891,plain,
% 20.27/20.58 (succ(s106, s107) <=> succ(s106, s107)),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8892,axiom,(succ(s106, s107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound107')).
% 20.27/20.58 tff(8893,plain,
% 20.27/20.58 (succ(s106, s107)),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 20.27/20.58 tff(8894,plain,
% 20.27/20.58 (((~![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))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8895,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8896,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 20.27/20.58 tff(8897,plain,
% 20.27/20.58 (trans(s106, s107)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8896, 8893, 57])).
% 20.27/20.58 tff(8898,plain,
% 20.27/20.58 (((~![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))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8899,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8900,plain,
% 20.27/20.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107)),
% 20.27/20.58 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 20.27/20.58 tff(8901,plain,
% 20.27/20.58 (node14(s106, s107)),
% 20.27/20.58 inference(unit_resolution,[status(thm)],[8900, 130, 8897])).
% 20.27/20.58 tff(8902,plain,
% 20.27/20.58 (((~![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(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)))),
% 20.27/20.58 inference(rewrite,[status(thm)],[])).
% 20.27/20.58 tff(8903,plain,
% 20.27/20.58 ((~![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(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 20.27/20.58 inference(quant_inst,[status(thm)],[])).
% 20.27/20.58 tff(8904,plain,
% 20.27/20.58 ((~![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(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 20.27/20.59 tff(8905,plain,
% 20.27/20.59 (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8904, 401, 8901])).
% 20.27/20.59 tff(8906,plain,
% 20.27/20.59 (node13(s106, s107)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8905, 8890, 8847, 8843, 8839, 8835, 8818])).
% 20.27/20.59 tff(8907,plain,
% 20.27/20.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8908,plain,
% 20.27/20.59 (((~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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8909,plain,
% 20.27/20.59 (((~![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))))),
% 20.27/20.59 inference(monotonicity,[status(thm)],[8908])).
% 20.27/20.59 tff(8910,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(transitivity,[status(thm)],[8909, 8907])).
% 20.27/20.59 tff(8911,plain,
% 20.27/20.59 ((~![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)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8912,plain,
% 20.27/20.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 20.27/20.59 tff(8913,plain,
% 20.27/20.59 (~m_main_v_state2(s107, c_n2)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8912, 416, 8831, 8906])).
% 20.27/20.59 tff(8914,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8915,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8916,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 20.27/20.59 tff(8917,plain,
% 20.27/20.59 (~node9(s107)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8916, 311, 8913])).
% 20.27/20.59 tff(8918,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8919,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8920,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 20.27/20.59 tff(8921,plain,
% 20.27/20.59 (~node10(s107)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8920, 372, 8913])).
% 20.27/20.59 tff(8922,plain,
% 20.27/20.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8923,plain,
% 20.27/20.59 (((~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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8924,plain,
% 20.27/20.59 (((~![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))))),
% 20.27/20.59 inference(monotonicity,[status(thm)],[8923])).
% 20.27/20.59 tff(8925,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(transitivity,[status(thm)],[8924, 8922])).
% 20.27/20.59 tff(8926,plain,
% 20.27/20.59 ((~![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))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8927,plain,
% 20.27/20.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8926, 8925])).
% 20.27/20.59 tff(8928,plain,
% 20.27/20.59 (m_main_v_state2(s107, c_t2)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8927, 563, 8827, 8906])).
% 20.27/20.59 tff(8929,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8930,plain,
% 20.27/20.59 ((~![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)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8931,plain,
% 20.27/20.59 ((~![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))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8930, 8929])).
% 20.27/20.59 tff(8932,plain,
% 20.27/20.59 (~m_main_v_state1(s106, c_t1)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8931, 289, 8882])).
% 20.27/20.59 tff(8933,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8934,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8935,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8934, 8933])).
% 20.27/20.59 tff(8936,plain,
% 20.27/20.59 (~node5(s106)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8935, 300, 8932])).
% 20.27/20.59 tff(8937,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8938,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8939,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 20.27/20.59 tff(8940,plain,
% 20.27/20.59 (~node4(s106)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8939, 162, 8831])).
% 20.27/20.59 tff(8941,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8942,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8943,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8942, 8941])).
% 20.27/20.59 tff(8944,plain,
% 20.27/20.59 (~node3(s106)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8943, 184, 8847])).
% 20.27/20.59 tff(8945,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8946,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8947,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8946, 8945])).
% 20.27/20.59 tff(8948,plain,
% 20.27/20.59 (~node2(s106)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8947, 195, 8831])).
% 20.27/20.59 tff(8949,plain,
% 20.27/20.59 (((~![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)))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8950,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8951,plain,
% 20.27/20.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106))),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8950, 8949])).
% 20.27/20.59 tff(8952,plain,
% 20.27/20.59 (~node1(s106)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8951, 249, 8886])).
% 20.27/20.59 tff(8953,plain,
% 20.27/20.59 (((~![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))),
% 20.27/20.59 inference(rewrite,[status(thm)],[])).
% 20.27/20.59 tff(8954,plain,
% 20.27/20.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))),
% 20.27/20.59 inference(quant_inst,[status(thm)],[])).
% 20.27/20.59 tff(8955,plain,
% 20.27/20.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107)),
% 20.27/20.59 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 20.27/20.59 tff(8956,plain,
% 20.27/20.59 (node7(s106, s107)),
% 20.27/20.59 inference(unit_resolution,[status(thm)],[8955, 217, 8897])).
% 20.27/20.59 tff(8957,plain,
% 20.27/20.59 (((~![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(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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8958,plain,
% 20.27/20.60 (((~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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8959,plain,
% 20.27/20.60 (((~![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(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))))),
% 20.27/20.60 inference(monotonicity,[status(thm)],[8958])).
% 20.27/20.60 tff(8960,plain,
% 20.27/20.60 (((~![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(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)))),
% 20.27/20.60 inference(transitivity,[status(thm)],[8959, 8957])).
% 20.27/20.60 tff(8961,plain,
% 20.27/20.60 ((~![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(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8962,plain,
% 20.27/20.60 ((~![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(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 20.27/20.60 tff(8963,plain,
% 20.27/20.60 (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8962, 478, 8956])).
% 20.27/20.60 tff(8964,plain,
% 20.27/20.60 (m_main_v_state1(s107, c_n1)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8963, 8952, 8882, 8948, 8944, 8940, 8936])).
% 20.27/20.60 tff(8965,plain,
% 20.27/20.60 (((~![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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8966,plain,
% 20.27/20.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8967,plain,
% 20.27/20.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107))),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 20.27/20.60 tff(8968,plain,
% 20.27/20.60 (~node8(s107)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8967, 383, 8913])).
% 20.27/20.60 tff(8969,plain,
% 20.27/20.60 (succ(s107, s108) <=> succ(s107, s108)),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8970,axiom,(succ(s107, s108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound108')).
% 20.27/20.60 tff(8971,plain,
% 20.27/20.60 (succ(s107, s108)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 20.27/20.60 tff(8972,plain,
% 20.27/20.60 (((~![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))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8973,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8974,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 20.27/20.60 tff(8975,plain,
% 20.27/20.60 (trans(s107, s108)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8974, 8971, 57])).
% 20.27/20.60 tff(8976,plain,
% 20.27/20.60 (((~![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))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8977,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8978,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 20.27/20.60 tff(8979,plain,
% 20.27/20.60 (node14(s107, s108)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8978, 130, 8975])).
% 20.27/20.60 tff(8980,plain,
% 20.27/20.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8981,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8982,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 20.27/20.60 tff(8983,plain,
% 20.27/20.60 ((~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)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8982, 704, 8979])).
% 20.27/20.60 tff(8984,plain,
% 20.27/20.60 (m_main_v_state2(s108, c_c2)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8983, 8968, 8964, 8928, 8921, 8917])).
% 20.27/20.60 tff(8985,plain,
% 20.27/20.60 (((~![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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8986,plain,
% 20.27/20.60 ((~![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)))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8987,plain,
% 20.27/20.60 ((~![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))),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 20.27/20.60 tff(8988,plain,
% 20.27/20.60 (~m_main_v_state2(s108, c_t2)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8987, 173, 8984])).
% 20.27/20.60 tff(8989,plain,
% 20.27/20.60 (((~![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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8990,plain,
% 20.27/20.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8991,plain,
% 20.27/20.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108))),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 20.27/20.60 tff(8992,plain,
% 20.27/20.60 (~node12(s108)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8991, 778, 8988])).
% 20.27/20.60 tff(8993,plain,
% 20.27/20.60 (((~![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))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8994,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8995,plain,
% 20.27/20.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 20.27/20.60 tff(8996,plain,
% 20.27/20.60 (node7(s107, s108)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8995, 217, 8975])).
% 20.27/20.60 tff(8997,plain,
% 20.27/20.60 (((~![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(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))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(8998,plain,
% 20.27/20.60 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(8999,plain,
% 20.27/20.60 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1)),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 20.27/20.60 tff(9000,plain,
% 20.27/20.60 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_state1(s108, c_t1)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[8999, 598, 8996])).
% 20.27/20.60 tff(9001,plain,
% 20.27/20.60 (m_main_v_state1(s108, c_t1)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[9000, 8928, 8964])).
% 20.27/20.60 tff(9002,plain,
% 20.27/20.60 (((~![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)))),
% 20.27/20.60 inference(rewrite,[status(thm)],[])).
% 20.27/20.60 tff(9003,plain,
% 20.27/20.60 ((~![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)))),
% 20.27/20.60 inference(quant_inst,[status(thm)],[])).
% 20.27/20.60 tff(9004,plain,
% 20.27/20.60 ((~![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))),
% 20.27/20.60 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 20.27/20.60 tff(9005,plain,
% 20.27/20.60 (~m_main_v_state1(s108, c_n1)),
% 20.27/20.60 inference(unit_resolution,[status(thm)],[9004, 35, 9001])).
% 20.27/20.60 tff(9006,plain,
% 20.27/20.60 (((~![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)))),
% 20.27/20.61 inference(rewrite,[status(thm)],[])).
% 20.27/20.61 tff(9007,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 20.27/20.61 inference(quant_inst,[status(thm)],[])).
% 20.27/20.61 tff(9008,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108))),
% 20.27/20.61 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 20.27/20.61 tff(9009,plain,
% 20.27/20.61 (~node11(s108)),
% 20.27/20.61 inference(unit_resolution,[status(thm)],[9008, 361, 9005])).
% 20.27/20.61 tff(9010,plain,
% 20.27/20.61 (((~![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)))),
% 20.27/20.61 inference(rewrite,[status(thm)],[])).
% 20.27/20.61 tff(9011,plain,
% 20.27/20.61 ((~![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)))),
% 20.27/20.61 inference(quant_inst,[status(thm)],[])).
% 20.27/20.61 tff(9012,plain,
% 20.27/20.61 ((~![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))),
% 20.27/20.61 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 20.27/20.61 tff(9013,plain,
% 20.27/20.61 (~m_main_v_state1(s108, c_c1)),
% 20.27/20.61 inference(unit_resolution,[status(thm)],[9012, 289, 9001])).
% 20.27/20.61 tff(9014,plain,
% 20.27/20.61 (((~![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)))),
% 20.27/20.61 inference(rewrite,[status(thm)],[])).
% 20.27/20.61 tff(9015,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 20.27/20.61 inference(quant_inst,[status(thm)],[])).
% 20.27/20.61 tff(9016,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108))),
% 20.27/20.61 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 20.27/20.61 tff(9017,plain,
% 20.27/20.61 (~node10(s108)),
% 20.27/20.61 inference(unit_resolution,[status(thm)],[9016, 793, 9013])).
% 20.27/20.61 tff(9018,plain,
% 20.27/20.61 (((~![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)))),
% 20.27/20.61 inference(rewrite,[status(thm)],[])).
% 20.27/20.61 tff(9019,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 20.27/20.61 inference(quant_inst,[status(thm)],[])).
% 20.27/20.61 tff(9020,plain,
% 20.27/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108))),
% 20.27/20.61 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 20.27/20.61 tff(9021,plain,
% 20.27/20.61 (~node9(s108)),
% 20.27/20.61 inference(unit_resolution,[status(thm)],[9020, 804, 9005])).
% 20.27/20.61 tff(9022,plain,
% 20.27/20.61 (((~![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)))),
% 20.27/20.61 inference(rewrite,[status(thm)],[])).
% 20.27/20.61 tff(9023,plain,
% 20.27/20.61 ((~![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)))),
% 20.27/20.61 inference(quant_inst,[status(thm)],[])).
% 20.27/20.61 tff(9024,plain,
% 20.27/20.61 ((~![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))),
% 20.27/20.61 inference(modus_ponens,[status(thm)],[9023, 9022])).
% 20.27/20.61 tff(9025,plain,
% 20.27/20.61 (~m_main_v_state2(s108, c_n2)),
% 20.27/20.61 inference(unit_resolution,[status(thm)],[9024, 716, 8984])).
% 20.27/20.61 tff(9026,plain,
% 20.27/20.61 (((~![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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9027,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9028,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 20.36/20.61 tff(9029,plain,
% 20.36/20.61 (~node8(s108)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9028, 383, 9025])).
% 20.36/20.61 tff(9030,plain,
% 20.36/20.61 (succ(s108, s109) <=> succ(s108, s109)),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9031,axiom,(succ(s108, s109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound109')).
% 20.36/20.61 tff(9032,plain,
% 20.36/20.61 (succ(s108, s109)),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9031, 9030])).
% 20.36/20.61 tff(9033,plain,
% 20.36/20.61 (((~![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))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9034,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9035,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9034, 9033])).
% 20.36/20.61 tff(9036,plain,
% 20.36/20.61 (trans(s108, s109)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9035, 9032, 57])).
% 20.36/20.61 tff(9037,plain,
% 20.36/20.61 (((~![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))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9038,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9039,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109)),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 20.36/20.61 tff(9040,plain,
% 20.36/20.61 (node14(s108, s109)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9039, 130, 9036])).
% 20.36/20.61 tff(9041,plain,
% 20.36/20.61 (((~![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(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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9042,plain,
% 20.36/20.61 (((~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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9043,plain,
% 20.36/20.61 (((~![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(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))))),
% 20.36/20.61 inference(monotonicity,[status(thm)],[9042])).
% 20.36/20.61 tff(9044,plain,
% 20.36/20.61 (((~![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(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)))),
% 20.36/20.61 inference(transitivity,[status(thm)],[9043, 9041])).
% 20.36/20.61 tff(9045,plain,
% 20.36/20.61 ((~![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(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9046,plain,
% 20.36/20.61 ((~![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(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9045, 9044])).
% 20.36/20.61 tff(9047,plain,
% 20.36/20.61 (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~m_main_v_state2(s108, c_c2))),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9046, 826, 9040])).
% 20.36/20.61 tff(9048,plain,
% 20.36/20.61 (m_main_v_state2(s109, c_n2)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9047, 9029, 8984, 9021, 9017, 9009, 8992])).
% 20.36/20.61 tff(9049,plain,
% 20.36/20.61 (((~![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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9050,plain,
% 20.36/20.61 ((~![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)))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9051,plain,
% 20.36/20.61 ((~![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))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 20.36/20.61 tff(9052,plain,
% 20.36/20.61 (~m_main_v_state2(s109, c_c2)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9051, 716, 9048])).
% 20.36/20.61 tff(9053,plain,
% 20.36/20.61 (((~![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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9054,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9055,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 20.36/20.61 tff(9056,plain,
% 20.36/20.61 (~node3(s109)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9055, 184, 9052])).
% 20.36/20.61 tff(9057,plain,
% 20.36/20.61 (((~![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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9058,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9059,plain,
% 20.36/20.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 20.36/20.61 tff(9060,plain,
% 20.36/20.61 (~node1(s108)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9059, 249, 9005])).
% 20.36/20.61 tff(9061,plain,
% 20.36/20.61 (((~![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))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9062,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9063,plain,
% 20.36/20.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108)),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 20.36/20.61 tff(9064,plain,
% 20.36/20.61 (node18(s107, s108)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9063, 71, 8975])).
% 20.36/20.61 tff(9065,plain,
% 20.36/20.61 (((~![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(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))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9066,plain,
% 20.36/20.61 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9067,plain,
% 20.36/20.61 ((~![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(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2)),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 20.36/20.61 tff(9068,plain,
% 20.36/20.61 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_turn(s108, c_2)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9067, 625, 9064])).
% 20.36/20.61 tff(9069,plain,
% 20.36/20.61 (m_main_v_turn(s108, c_2)),
% 20.36/20.61 inference(unit_resolution,[status(thm)],[9068, 8928, 8964])).
% 20.36/20.61 tff(9070,plain,
% 20.36/20.61 (((~![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)))),
% 20.36/20.61 inference(rewrite,[status(thm)],[])).
% 20.36/20.61 tff(9071,plain,
% 20.36/20.61 ((~![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)))),
% 20.36/20.61 inference(quant_inst,[status(thm)],[])).
% 20.36/20.61 tff(9072,plain,
% 20.36/20.61 ((~![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))),
% 20.36/20.61 inference(modus_ponens,[status(thm)],[9071, 9070])).
% 20.36/20.62 tff(9073,plain,
% 20.36/20.62 (~m_main_v_turn(s108, c_1)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9072, 322, 9069])).
% 20.36/20.62 tff(9074,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9075,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9076,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 20.36/20.62 tff(9077,plain,
% 20.36/20.62 (~node5(s108)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9076, 641, 9073])).
% 20.36/20.62 tff(9078,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9079,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9080,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 20.36/20.62 tff(9081,plain,
% 20.36/20.62 (~node2(s108)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9080, 652, 9005])).
% 20.36/20.62 tff(9082,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9083,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9084,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 20.36/20.62 tff(9085,plain,
% 20.36/20.62 (~node3(s108)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9084, 663, 9005])).
% 20.36/20.62 tff(9086,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9087,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9088,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 20.36/20.62 tff(9089,plain,
% 20.36/20.62 (~node4(s108)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9088, 162, 9025])).
% 20.36/20.62 tff(9090,plain,
% 20.36/20.62 (((~![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))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9091,plain,
% 20.36/20.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9092,plain,
% 20.36/20.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109)),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 20.36/20.62 tff(9093,plain,
% 20.36/20.62 (node7(s108, s109)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9092, 217, 9036])).
% 20.36/20.62 tff(9094,plain,
% 20.36/20.62 (((~![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(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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9095,plain,
% 20.36/20.62 ((~![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(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9096,plain,
% 20.36/20.62 ((~![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(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 20.36/20.62 tff(9097,plain,
% 20.36/20.62 (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9096, 745, 9093])).
% 20.36/20.62 tff(9098,plain,
% 20.36/20.62 (node6(s108, s109)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9097, 9089, 9013, 9085, 9081, 9077, 9060])).
% 20.36/20.62 tff(9099,plain,
% 20.36/20.62 (((~![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(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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9100,plain,
% 20.36/20.62 (((~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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9101,plain,
% 20.36/20.62 (((~![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))))),
% 20.36/20.62 inference(monotonicity,[status(thm)],[9100])).
% 20.36/20.62 tff(9102,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(transitivity,[status(thm)],[9101, 9099])).
% 20.36/20.62 tff(9103,plain,
% 20.36/20.62 ((~![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)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9104,plain,
% 20.36/20.62 ((~![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(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 20.36/20.62 tff(9105,plain,
% 20.36/20.62 (~m_main_v_state1(s109, c_n1)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9104, 936, 9005, 9098])).
% 20.36/20.62 tff(9106,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9107,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9108,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 20.36/20.62 tff(9109,plain,
% 20.36/20.62 (~node2(s109)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9108, 652, 9105])).
% 20.36/20.62 tff(9110,plain,
% 20.36/20.62 (((~![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(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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9111,plain,
% 20.36/20.62 (((~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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9112,plain,
% 20.36/20.62 (((~![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))))),
% 20.36/20.62 inference(monotonicity,[status(thm)],[9111])).
% 20.36/20.62 tff(9113,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(transitivity,[status(thm)],[9112, 9110])).
% 20.36/20.62 tff(9114,plain,
% 20.36/20.62 ((~![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))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9115,plain,
% 20.36/20.62 ((~![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(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 20.36/20.62 tff(9116,plain,
% 20.36/20.62 (m_main_v_state1(s109, c_t1)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9115, 760, 9001, 9098])).
% 20.36/20.62 tff(9117,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9118,plain,
% 20.36/20.62 ((~![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)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9119,plain,
% 20.36/20.62 ((~![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))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9118, 9117])).
% 20.36/20.62 tff(9120,plain,
% 20.36/20.62 (~m_main_v_state2(s109, c_t2)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9119, 10, 9048])).
% 20.36/20.62 tff(9121,plain,
% 20.36/20.62 (((~![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)))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9122,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9123,plain,
% 20.36/20.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109))),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9122, 9121])).
% 20.36/20.62 tff(9124,plain,
% 20.36/20.62 (~node1(s109)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9123, 206, 9120])).
% 20.36/20.62 tff(9125,plain,
% 20.36/20.62 (succ(s109, s110) <=> succ(s109, s110)),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9126,axiom,(succ(s109, s110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound110')).
% 20.36/20.62 tff(9127,plain,
% 20.36/20.62 (succ(s109, s110)),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 20.36/20.62 tff(9128,plain,
% 20.36/20.62 (((~![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))),
% 20.36/20.62 inference(rewrite,[status(thm)],[])).
% 20.36/20.62 tff(9129,plain,
% 20.36/20.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 20.36/20.62 inference(quant_inst,[status(thm)],[])).
% 20.36/20.62 tff(9130,plain,
% 20.36/20.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 20.36/20.62 inference(modus_ponens,[status(thm)],[9129, 9128])).
% 20.36/20.62 tff(9131,plain,
% 20.36/20.62 (trans(s109, s110)),
% 20.36/20.62 inference(unit_resolution,[status(thm)],[9130, 9127, 57])).
% 20.36/20.62 tff(9132,plain,
% 20.36/20.62 (((~![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))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9133,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9134,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110)),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 20.36/20.63 tff(9135,plain,
% 20.36/20.63 (node7(s109, s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9134, 217, 9131])).
% 20.36/20.63 tff(9136,plain,
% 20.36/20.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9137,plain,
% 20.36/20.63 (((~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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9138,plain,
% 20.36/20.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.36/20.63 inference(monotonicity,[status(thm)],[9137])).
% 20.36/20.63 tff(9139,plain,
% 20.36/20.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.36/20.63 inference(transitivity,[status(thm)],[9138, 9136])).
% 20.36/20.63 tff(9140,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9141,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 20.36/20.63 tff(9142,plain,
% 20.36/20.63 ((~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)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9141, 965, 9135])).
% 20.36/20.63 tff(9143,plain,
% 20.36/20.63 (m_main_v_state1(s110, c_c1)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9142, 9124, 9048, 9116, 9109, 9056])).
% 20.36/20.63 tff(9144,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9145,plain,
% 20.36/20.63 ((~![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)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9146,plain,
% 20.36/20.63 ((~![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))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 20.36/20.63 tff(9147,plain,
% 20.36/20.63 (~m_main_v_state1(s110, c_t1)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9146, 289, 9143])).
% 20.36/20.63 tff(9148,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9149,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9150,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9149, 9148])).
% 20.36/20.63 tff(9151,plain,
% 20.36/20.63 (~node5(s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9150, 300, 9147])).
% 20.36/20.63 tff(9152,plain,
% 20.36/20.63 (((~![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))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9153,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9154,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110)),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 20.36/20.63 tff(9155,plain,
% 20.36/20.63 (node14(s109, s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9154, 130, 9131])).
% 20.36/20.63 tff(9156,plain,
% 20.36/20.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9157,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9158,plain,
% 20.36/20.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2)),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 20.36/20.63 tff(9159,plain,
% 20.36/20.63 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state2(s110, c_t2)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9158, 893, 9155])).
% 20.36/20.63 tff(9160,plain,
% 20.36/20.63 (m_main_v_state2(s110, c_t2)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9159, 9116, 9048])).
% 20.36/20.63 tff(9161,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9162,plain,
% 20.36/20.63 ((~![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)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9163,plain,
% 20.36/20.63 ((~![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))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9162, 9161])).
% 20.36/20.63 tff(9164,plain,
% 20.36/20.63 (~m_main_v_state2(s110, c_n2)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9163, 10, 9160])).
% 20.36/20.63 tff(9165,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9166,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9167,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 20.36/20.63 tff(9168,plain,
% 20.36/20.63 (~node4(s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9167, 162, 9164])).
% 20.36/20.63 tff(9169,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9170,plain,
% 20.36/20.63 ((~![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)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9171,plain,
% 20.36/20.63 ((~![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))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 20.36/20.63 tff(9172,plain,
% 20.36/20.63 (~m_main_v_state2(s110, c_c2)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9171, 173, 9160])).
% 20.36/20.63 tff(9173,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9174,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9175,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 20.36/20.63 tff(9176,plain,
% 20.36/20.63 (~node3(s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9175, 184, 9172])).
% 20.36/20.63 tff(9177,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.63 inference(rewrite,[status(thm)],[])).
% 20.36/20.63 tff(9178,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 20.36/20.63 inference(quant_inst,[status(thm)],[])).
% 20.36/20.63 tff(9179,plain,
% 20.36/20.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110))),
% 20.36/20.63 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 20.36/20.63 tff(9180,plain,
% 20.36/20.63 (~node2(s110)),
% 20.36/20.63 inference(unit_resolution,[status(thm)],[9179, 195, 9164])).
% 20.36/20.63 tff(9181,plain,
% 20.36/20.63 (((~![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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9182,plain,
% 20.36/20.64 ((~![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)))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9183,plain,
% 20.36/20.64 ((~![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))),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 20.36/20.64 tff(9184,plain,
% 20.36/20.64 (~m_main_v_state1(s110, c_n1)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9183, 449, 9143])).
% 20.36/20.64 tff(9185,plain,
% 20.36/20.64 (((~![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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9186,plain,
% 20.36/20.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9187,plain,
% 20.36/20.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110))),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 20.36/20.64 tff(9188,plain,
% 20.36/20.64 (~node1(s110)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9187, 249, 9184])).
% 20.36/20.64 tff(9189,plain,
% 20.36/20.64 (succ(s110, s111) <=> succ(s110, s111)),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9190,axiom,(succ(s110, s111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound111')).
% 20.36/20.64 tff(9191,plain,
% 20.36/20.64 (succ(s110, s111)),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 20.36/20.64 tff(9192,plain,
% 20.36/20.64 (((~![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))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9193,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9194,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9193, 9192])).
% 20.36/20.64 tff(9195,plain,
% 20.36/20.64 (trans(s110, s111)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9194, 9191, 57])).
% 20.36/20.64 tff(9196,plain,
% 20.36/20.64 (((~![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))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9197,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9198,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111)),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 20.36/20.64 tff(9199,plain,
% 20.36/20.64 (node7(s110, s111)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9198, 217, 9195])).
% 20.36/20.64 tff(9200,plain,
% 20.36/20.64 (((~![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(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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9201,plain,
% 20.36/20.64 (((~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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9202,plain,
% 20.36/20.64 (((~![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(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))))),
% 20.36/20.64 inference(monotonicity,[status(thm)],[9201])).
% 20.36/20.64 tff(9203,plain,
% 20.36/20.64 (((~![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(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)))),
% 20.36/20.64 inference(transitivity,[status(thm)],[9202, 9200])).
% 20.36/20.64 tff(9204,plain,
% 20.36/20.64 ((~![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(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9205,plain,
% 20.36/20.64 ((~![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(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 20.36/20.64 tff(9206,plain,
% 20.36/20.64 (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9205, 478, 9199])).
% 20.36/20.64 tff(9207,plain,
% 20.36/20.64 (m_main_v_state1(s111, c_n1)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9206, 9188, 9143, 9180, 9176, 9168, 9151])).
% 20.36/20.64 tff(9208,plain,
% 20.36/20.64 (((~![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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9209,plain,
% 20.36/20.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9210,plain,
% 20.36/20.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109))),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 20.36/20.64 tff(9211,plain,
% 20.36/20.64 (~node15(s109)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9210, 21, 9120])).
% 20.36/20.64 tff(9212,plain,
% 20.36/20.64 (((~![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))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9213,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9214,plain,
% 20.36/20.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110)),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 20.36/20.64 tff(9215,plain,
% 20.36/20.64 (node18(s109, s110)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9214, 71, 9131])).
% 20.36/20.64 tff(9216,plain,
% 20.36/20.64 (((~![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(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))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9217,plain,
% 20.36/20.64 (((~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))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9218,plain,
% 20.36/20.64 (((~![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(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)))),
% 20.36/20.64 inference(monotonicity,[status(thm)],[9217])).
% 20.36/20.64 tff(9219,plain,
% 20.36/20.64 (((~![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(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))),
% 20.36/20.64 inference(transitivity,[status(thm)],[9218, 9216])).
% 20.36/20.64 tff(9220,plain,
% 20.36/20.64 ((~![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(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9221,plain,
% 20.36/20.64 ((~![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(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)),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 20.36/20.64 tff(9222,plain,
% 20.36/20.64 (node15(s109) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9221, 863, 9215])).
% 20.36/20.64 tff(9223,plain,
% 20.36/20.64 (m_main_v_turn(s110, c_1)),
% 20.36/20.64 inference(unit_resolution,[status(thm)],[9222, 9211, 9048, 9116])).
% 20.36/20.64 tff(9224,plain,
% 20.36/20.64 (((~![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)))),
% 20.36/20.64 inference(rewrite,[status(thm)],[])).
% 20.36/20.64 tff(9225,plain,
% 20.36/20.64 ((~![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)))),
% 20.36/20.64 inference(quant_inst,[status(thm)],[])).
% 20.36/20.64 tff(9226,plain,
% 20.36/20.64 ((~![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))),
% 20.36/20.64 inference(modus_ponens,[status(thm)],[9225, 9224])).
% 20.36/20.64 tff(9227,plain,
% 20.36/20.65 (~m_main_v_turn(s110, c_2)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9226, 322, 9223])).
% 20.36/20.65 tff(9228,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9229,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9230,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9229, 9228])).
% 20.36/20.65 tff(9231,plain,
% 20.36/20.65 (~node12(s110)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9230, 350, 9227])).
% 20.36/20.65 tff(9232,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9233,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9234,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9233, 9232])).
% 20.36/20.65 tff(9235,plain,
% 20.36/20.65 (~node8(s110)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9234, 383, 9164])).
% 20.36/20.65 tff(9236,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9237,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9238,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9237, 9236])).
% 20.36/20.65 tff(9239,plain,
% 20.36/20.65 (~node9(s110)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9238, 311, 9164])).
% 20.36/20.65 tff(9240,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9241,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9242,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 20.36/20.65 tff(9243,plain,
% 20.36/20.65 (~node10(s110)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9242, 372, 9164])).
% 20.36/20.65 tff(9244,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9245,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9246,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 20.36/20.65 tff(9247,plain,
% 20.36/20.65 (~node11(s110)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9246, 361, 9184])).
% 20.36/20.65 tff(9248,plain,
% 20.36/20.65 (((~![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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9249,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9250,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 20.36/20.65 tff(9251,plain,
% 20.36/20.65 (node14(s110, s111)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9250, 130, 9195])).
% 20.36/20.65 tff(9252,plain,
% 20.36/20.65 (((~![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(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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9253,plain,
% 20.36/20.65 ((~![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(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9254,plain,
% 20.36/20.65 ((~![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(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 20.36/20.65 tff(9255,plain,
% 20.36/20.65 (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9254, 401, 9251])).
% 20.36/20.65 tff(9256,plain,
% 20.36/20.65 (node13(s110, s111)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9255, 9247, 9172, 9243, 9239, 9235, 9231])).
% 20.36/20.65 tff(9257,plain,
% 20.36/20.65 (((~![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(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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9258,plain,
% 20.36/20.65 (((~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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9259,plain,
% 20.36/20.65 (((~![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))))),
% 20.36/20.65 inference(monotonicity,[status(thm)],[9258])).
% 20.36/20.65 tff(9260,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(transitivity,[status(thm)],[9259, 9257])).
% 20.36/20.65 tff(9261,plain,
% 20.36/20.65 ((~![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))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9262,plain,
% 20.36/20.65 ((~![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(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9261, 9260])).
% 20.36/20.65 tff(9263,plain,
% 20.36/20.65 (m_main_v_state2(s111, c_t2)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9262, 563, 9160, 9256])).
% 20.36/20.65 tff(9264,plain,
% 20.36/20.65 (succ(s111, s112) <=> succ(s111, s112)),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9265,axiom,(succ(s111, s112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound112')).
% 20.36/20.65 tff(9266,plain,
% 20.36/20.65 (succ(s111, s112)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9265, 9264])).
% 20.36/20.65 tff(9267,plain,
% 20.36/20.65 (((~![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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9268,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9269,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9268, 9267])).
% 20.36/20.65 tff(9270,plain,
% 20.36/20.65 (trans(s111, s112)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9269, 9266, 57])).
% 20.36/20.65 tff(9271,plain,
% 20.36/20.65 (((~![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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9272,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9273,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 20.36/20.65 tff(9274,plain,
% 20.36/20.65 (node7(s111, s112)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9273, 217, 9270])).
% 20.36/20.65 tff(9275,plain,
% 20.36/20.65 (((~![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(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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9276,plain,
% 20.36/20.65 ((~![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(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9277,plain,
% 20.36/20.65 ((~![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(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9276, 9275])).
% 20.36/20.65 tff(9278,plain,
% 20.36/20.65 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_state1(s112, c_t1)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9277, 598, 9274])).
% 20.36/20.65 tff(9279,plain,
% 20.36/20.65 (m_main_v_state1(s112, c_t1)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9278, 9263, 9207])).
% 20.36/20.65 tff(9280,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9281,plain,
% 20.36/20.65 ((~![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)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9282,plain,
% 20.36/20.65 ((~![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))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 20.36/20.65 tff(9283,plain,
% 20.36/20.65 (~m_main_v_state1(s112, c_n1)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9282, 35, 9279])).
% 20.36/20.65 tff(9284,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9285,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9286,plain,
% 20.36/20.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9285, 9284])).
% 20.36/20.65 tff(9287,plain,
% 20.36/20.65 (~node1(s112)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9286, 249, 9283])).
% 20.36/20.65 tff(9288,plain,
% 20.36/20.65 (((~![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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9289,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9290,plain,
% 20.36/20.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9289, 9288])).
% 20.36/20.65 tff(9291,plain,
% 20.36/20.65 (node18(s111, s112)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9290, 71, 9270])).
% 20.36/20.65 tff(9292,plain,
% 20.36/20.65 (((~![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(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))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9293,plain,
% 20.36/20.65 ((~![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(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9294,plain,
% 20.36/20.65 ((~![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(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2)),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 20.36/20.65 tff(9295,plain,
% 20.36/20.65 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_turn(s112, c_2)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9294, 625, 9291])).
% 20.36/20.65 tff(9296,plain,
% 20.36/20.65 (m_main_v_turn(s112, c_2)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9295, 9263, 9207])).
% 20.36/20.65 tff(9297,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.65 inference(rewrite,[status(thm)],[])).
% 20.36/20.65 tff(9298,plain,
% 20.36/20.65 ((~![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)))),
% 20.36/20.65 inference(quant_inst,[status(thm)],[])).
% 20.36/20.65 tff(9299,plain,
% 20.36/20.65 ((~![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))),
% 20.36/20.65 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 20.36/20.65 tff(9300,plain,
% 20.36/20.65 (~m_main_v_turn(s112, c_1)),
% 20.36/20.65 inference(unit_resolution,[status(thm)],[9299, 322, 9296])).
% 20.36/20.65 tff(9301,plain,
% 20.36/20.65 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9302,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9303,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 20.36/20.66 tff(9304,plain,
% 20.36/20.66 (~node5(s112)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9303, 641, 9300])).
% 20.36/20.66 tff(9305,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9306,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9307,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 20.36/20.66 tff(9308,plain,
% 20.36/20.66 (~node2(s112)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9307, 652, 9283])).
% 20.36/20.66 tff(9309,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9310,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9311,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 20.36/20.66 tff(9312,plain,
% 20.36/20.66 (~node3(s112)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9311, 663, 9283])).
% 20.36/20.66 tff(9313,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9314,plain,
% 20.36/20.66 ((~![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)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9315,plain,
% 20.36/20.66 ((~![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))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 20.36/20.66 tff(9316,plain,
% 20.36/20.66 (~m_main_v_state1(s112, c_c1)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9315, 289, 9279])).
% 20.36/20.66 tff(9317,plain,
% 20.36/20.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9318,plain,
% 20.36/20.66 (((~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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9319,plain,
% 20.36/20.66 (((~![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))))),
% 20.36/20.66 inference(monotonicity,[status(thm)],[9318])).
% 20.36/20.66 tff(9320,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(transitivity,[status(thm)],[9319, 9317])).
% 20.36/20.66 tff(9321,plain,
% 20.36/20.66 ((~![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)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9322,plain,
% 20.36/20.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 20.36/20.66 tff(9323,plain,
% 20.36/20.66 (~m_main_v_state2(s111, c_n2)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9322, 416, 9164, 9256])).
% 20.36/20.66 tff(9324,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9325,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9326,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9325, 9324])).
% 20.36/20.66 tff(9327,plain,
% 20.36/20.66 (~node9(s111)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9326, 311, 9323])).
% 20.36/20.66 tff(9328,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9329,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9330,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 20.36/20.66 tff(9331,plain,
% 20.36/20.66 (~node10(s111)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9330, 372, 9323])).
% 20.36/20.66 tff(9332,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9333,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9334,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 20.36/20.66 tff(9335,plain,
% 20.36/20.66 (~node8(s111)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9334, 383, 9323])).
% 20.36/20.66 tff(9336,plain,
% 20.36/20.66 (((~![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))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9337,plain,
% 20.36/20.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9338,plain,
% 20.36/20.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112)),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9337, 9336])).
% 20.36/20.66 tff(9339,plain,
% 20.36/20.66 (node14(s111, s112)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9338, 130, 9270])).
% 20.36/20.66 tff(9340,plain,
% 20.36/20.66 (((~![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(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))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9341,plain,
% 20.36/20.66 ((~![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(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))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9342,plain,
% 20.36/20.66 ((~![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(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)),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9341, 9340])).
% 20.36/20.66 tff(9343,plain,
% 20.36/20.66 ((~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)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9342, 704, 9339])).
% 20.36/20.66 tff(9344,plain,
% 20.36/20.66 (m_main_v_state2(s112, c_c2)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9343, 9335, 9207, 9263, 9331, 9327])).
% 20.36/20.66 tff(9345,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9346,plain,
% 20.36/20.66 ((~![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)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9347,plain,
% 20.36/20.66 ((~![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))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9346, 9345])).
% 20.36/20.66 tff(9348,plain,
% 20.36/20.66 (~m_main_v_state2(s112, c_n2)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9347, 716, 9344])).
% 20.36/20.66 tff(9349,plain,
% 20.36/20.66 (((~![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)))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9350,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 20.36/20.66 inference(quant_inst,[status(thm)],[])).
% 20.36/20.66 tff(9351,plain,
% 20.36/20.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112))),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 20.36/20.66 tff(9352,plain,
% 20.36/20.66 (~node4(s112)),
% 20.36/20.66 inference(unit_resolution,[status(thm)],[9351, 162, 9348])).
% 20.36/20.66 tff(9353,plain,
% 20.36/20.66 (succ(s112, s113) <=> succ(s112, s113)),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.66 tff(9354,axiom,(succ(s112, s113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound113')).
% 20.36/20.66 tff(9355,plain,
% 20.36/20.66 (succ(s112, s113)),
% 20.36/20.66 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 20.36/20.66 tff(9356,plain,
% 20.36/20.66 (((~![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))),
% 20.36/20.66 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9357,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9358,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 20.36/20.67 tff(9359,plain,
% 20.36/20.67 (trans(s112, s113)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9358, 9355, 57])).
% 20.36/20.67 tff(9360,plain,
% 20.36/20.67 (((~![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))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9361,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9362,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113)),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 20.36/20.67 tff(9363,plain,
% 20.36/20.67 (node7(s112, s113)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9362, 217, 9359])).
% 20.36/20.67 tff(9364,plain,
% 20.36/20.67 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9365,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9366,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 20.36/20.67 tff(9367,plain,
% 20.36/20.67 (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9366, 745, 9363])).
% 20.36/20.67 tff(9368,plain,
% 20.36/20.67 (node6(s112, s113)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9367, 9352, 9316, 9312, 9308, 9304, 9287])).
% 20.36/20.67 tff(9369,plain,
% 20.36/20.67 (((~![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(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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9370,plain,
% 20.36/20.67 (((~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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9371,plain,
% 20.36/20.67 (((~![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))))),
% 20.36/20.67 inference(monotonicity,[status(thm)],[9370])).
% 20.36/20.67 tff(9372,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(transitivity,[status(thm)],[9371, 9369])).
% 20.36/20.67 tff(9373,plain,
% 20.36/20.67 ((~![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))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9374,plain,
% 20.36/20.67 ((~![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(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 20.36/20.67 tff(9375,plain,
% 20.36/20.67 (m_main_v_state1(s113, c_t1)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9374, 760, 9279, 9368])).
% 20.36/20.67 tff(9376,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9377,plain,
% 20.36/20.67 ((~![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)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9378,plain,
% 20.36/20.67 ((~![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))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 20.36/20.67 tff(9379,plain,
% 20.36/20.67 (~m_main_v_state2(s112, c_t2)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9378, 173, 9344])).
% 20.36/20.67 tff(9380,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9381,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9382,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 20.36/20.67 tff(9383,plain,
% 20.36/20.67 (~node12(s112)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9382, 778, 9379])).
% 20.36/20.67 tff(9384,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9385,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9386,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 20.36/20.67 tff(9387,plain,
% 20.36/20.67 (~node11(s112)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9386, 361, 9283])).
% 20.36/20.67 tff(9388,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9389,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9390,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 20.36/20.67 tff(9391,plain,
% 20.36/20.67 (~node10(s112)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9390, 793, 9316])).
% 20.36/20.67 tff(9392,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9393,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9394,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 20.36/20.67 tff(9395,plain,
% 20.36/20.67 (~node9(s112)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9394, 804, 9283])).
% 20.36/20.67 tff(9396,plain,
% 20.36/20.67 (((~![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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9397,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9398,plain,
% 20.36/20.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112))),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9397, 9396])).
% 20.36/20.67 tff(9399,plain,
% 20.36/20.67 (~node8(s112)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9398, 383, 9348])).
% 20.36/20.67 tff(9400,plain,
% 20.36/20.67 (((~![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))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9401,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))),
% 20.36/20.67 inference(quant_inst,[status(thm)],[])).
% 20.36/20.67 tff(9402,plain,
% 20.36/20.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113)),
% 20.36/20.67 inference(modus_ponens,[status(thm)],[9401, 9400])).
% 20.36/20.67 tff(9403,plain,
% 20.36/20.67 (node14(s112, s113)),
% 20.36/20.67 inference(unit_resolution,[status(thm)],[9402, 130, 9359])).
% 20.36/20.67 tff(9404,plain,
% 20.36/20.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9405,plain,
% 20.36/20.67 (((~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)))),
% 20.36/20.67 inference(rewrite,[status(thm)],[])).
% 20.36/20.67 tff(9406,plain,
% 20.36/20.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.36/20.67 inference(monotonicity,[status(thm)],[9405])).
% 20.36/20.67 tff(9407,plain,
% 20.36/20.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.36/20.68 inference(transitivity,[status(thm)],[9406, 9404])).
% 20.36/20.68 tff(9408,plain,
% 20.36/20.68 ((~![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(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9409,plain,
% 20.36/20.68 ((~![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(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 20.36/20.68 tff(9410,plain,
% 20.36/20.68 (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~m_main_v_state2(s112, c_c2))),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9409, 826, 9403])).
% 20.36/20.68 tff(9411,plain,
% 20.36/20.68 (m_main_v_state2(s113, c_n2)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9410, 9399, 9344, 9395, 9391, 9387, 9383])).
% 20.36/20.68 tff(9412,plain,
% 20.36/20.68 (((~![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)))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9413,plain,
% 20.36/20.68 ((~![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)))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9414,plain,
% 20.36/20.68 ((~![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))),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 20.36/20.68 tff(9415,plain,
% 20.36/20.68 (~m_main_v_state2(s113, c_t2)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9414, 10, 9411])).
% 20.36/20.68 tff(9416,plain,
% 20.36/20.68 (((~![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)))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9417,plain,
% 20.36/20.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9418,plain,
% 20.36/20.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113))),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9417, 9416])).
% 20.36/20.68 tff(9419,plain,
% 20.36/20.68 (~node15(s113)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9418, 21, 9415])).
% 20.36/20.68 tff(9420,plain,
% 20.36/20.68 (succ(s113, s114) <=> succ(s113, s114)),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9421,axiom,(succ(s113, s114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound114')).
% 20.36/20.68 tff(9422,plain,
% 20.36/20.68 (succ(s113, s114)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 20.36/20.68 tff(9423,plain,
% 20.36/20.68 (((~![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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9424,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9425,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 20.36/20.68 tff(9426,plain,
% 20.36/20.68 (trans(s113, s114)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9425, 9422, 57])).
% 20.36/20.68 tff(9427,plain,
% 20.36/20.68 (((~![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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9428,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9429,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 20.36/20.68 tff(9430,plain,
% 20.36/20.68 (node18(s113, s114)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9429, 71, 9426])).
% 20.36/20.68 tff(9431,plain,
% 20.36/20.68 (((~![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(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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9432,plain,
% 20.36/20.68 (((~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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9433,plain,
% 20.36/20.68 (((~![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(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)))),
% 20.36/20.68 inference(monotonicity,[status(thm)],[9432])).
% 20.36/20.68 tff(9434,plain,
% 20.36/20.68 (((~![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(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))),
% 20.36/20.68 inference(transitivity,[status(thm)],[9433, 9431])).
% 20.36/20.68 tff(9435,plain,
% 20.36/20.68 ((~![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(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9436,plain,
% 20.36/20.68 ((~![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(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)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 20.36/20.68 tff(9437,plain,
% 20.36/20.68 (node15(s113) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9436, 863, 9430])).
% 20.36/20.68 tff(9438,plain,
% 20.36/20.68 (m_main_v_turn(s114, c_1)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9437, 9419, 9411, 9375])).
% 20.36/20.68 tff(9439,plain,
% 20.36/20.68 (((~![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)))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9440,plain,
% 20.36/20.68 ((~![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)))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9441,plain,
% 20.36/20.68 ((~![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))),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9440, 9439])).
% 20.36/20.68 tff(9442,plain,
% 20.36/20.68 (~m_main_v_turn(s114, c_2)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9441, 322, 9438])).
% 20.36/20.68 tff(9443,plain,
% 20.36/20.68 (((~![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)))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9444,plain,
% 20.36/20.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9445,plain,
% 20.36/20.68 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114))),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 20.36/20.68 tff(9446,plain,
% 20.36/20.68 (~node12(s114)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9445, 350, 9442])).
% 20.36/20.68 tff(9447,plain,
% 20.36/20.68 (((~![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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9448,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9449,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 20.36/20.68 tff(9450,plain,
% 20.36/20.68 (node14(s113, s114)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9449, 130, 9426])).
% 20.36/20.68 tff(9451,plain,
% 20.36/20.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 20.36/20.68 inference(rewrite,[status(thm)],[])).
% 20.36/20.68 tff(9452,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 20.36/20.68 inference(quant_inst,[status(thm)],[])).
% 20.36/20.68 tff(9453,plain,
% 20.36/20.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2)),
% 20.36/20.68 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 20.36/20.68 tff(9454,plain,
% 20.36/20.68 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state2(s114, c_t2)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9453, 893, 9450])).
% 20.36/20.68 tff(9455,plain,
% 20.36/20.68 (m_main_v_state2(s114, c_t2)),
% 20.36/20.68 inference(unit_resolution,[status(thm)],[9454, 9375, 9411])).
% 20.36/20.68 tff(9456,plain,
% 20.36/20.68 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9457,plain,
% 20.36/20.69 ((~![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)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9458,plain,
% 20.36/20.69 ((~![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))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 20.36/20.69 tff(9459,plain,
% 20.36/20.69 (~m_main_v_state2(s114, c_n2)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9458, 10, 9455])).
% 20.36/20.69 tff(9460,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9461,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9462,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 20.36/20.69 tff(9463,plain,
% 20.36/20.69 (~node8(s114)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9462, 383, 9459])).
% 20.36/20.69 tff(9464,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9465,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9466,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9465, 9464])).
% 20.36/20.69 tff(9467,plain,
% 20.36/20.69 (~node9(s114)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9466, 311, 9459])).
% 20.36/20.69 tff(9468,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9469,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9470,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 20.36/20.69 tff(9471,plain,
% 20.36/20.69 (~node10(s114)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9470, 372, 9459])).
% 20.36/20.69 tff(9472,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9473,plain,
% 20.36/20.69 ((~![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)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9474,plain,
% 20.36/20.69 ((~![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))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 20.36/20.69 tff(9475,plain,
% 20.36/20.69 (~m_main_v_state2(s114, c_c2)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9474, 173, 9455])).
% 20.36/20.69 tff(9476,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9477,plain,
% 20.36/20.69 ((~![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)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9478,plain,
% 20.36/20.69 ((~![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))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 20.36/20.69 tff(9479,plain,
% 20.36/20.69 (~m_main_v_state2(s113, c_c2)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9478, 716, 9411])).
% 20.36/20.69 tff(9480,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9481,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9482,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 20.36/20.69 tff(9483,plain,
% 20.36/20.69 (~node3(s113)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9482, 184, 9479])).
% 20.36/20.69 tff(9484,plain,
% 20.36/20.69 (((~![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(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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9485,plain,
% 20.36/20.69 (((~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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9486,plain,
% 20.36/20.69 (((~![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))))),
% 20.36/20.69 inference(monotonicity,[status(thm)],[9485])).
% 20.36/20.69 tff(9487,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(transitivity,[status(thm)],[9486, 9484])).
% 20.36/20.69 tff(9488,plain,
% 20.36/20.69 ((~![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)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9489,plain,
% 20.36/20.69 ((~![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(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 20.36/20.69 tff(9490,plain,
% 20.36/20.69 (~m_main_v_state1(s113, c_n1)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9489, 936, 9283, 9368])).
% 20.36/20.69 tff(9491,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9492,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9493,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 20.36/20.69 tff(9494,plain,
% 20.36/20.69 (~node2(s113)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9493, 652, 9490])).
% 20.36/20.69 tff(9495,plain,
% 20.36/20.69 (((~![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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9496,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9497,plain,
% 20.36/20.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113))),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 20.36/20.69 tff(9498,plain,
% 20.36/20.69 (~node1(s113)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9497, 206, 9415])).
% 20.36/20.69 tff(9499,plain,
% 20.36/20.69 (((~![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))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9500,plain,
% 20.36/20.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))),
% 20.36/20.69 inference(quant_inst,[status(thm)],[])).
% 20.36/20.69 tff(9501,plain,
% 20.36/20.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114)),
% 20.36/20.69 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 20.36/20.69 tff(9502,plain,
% 20.36/20.69 (node7(s113, s114)),
% 20.36/20.69 inference(unit_resolution,[status(thm)],[9501, 217, 9426])).
% 20.36/20.69 tff(9503,plain,
% 20.36/20.69 (((~![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(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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9504,plain,
% 20.36/20.69 (((~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)))),
% 20.36/20.69 inference(rewrite,[status(thm)],[])).
% 20.36/20.69 tff(9505,plain,
% 20.36/20.69 (((~![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(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))))),
% 20.36/20.69 inference(monotonicity,[status(thm)],[9504])).
% 20.36/20.69 tff(9506,plain,
% 20.36/20.69 (((~![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(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)))),
% 20.36/20.70 inference(transitivity,[status(thm)],[9505, 9503])).
% 20.36/20.70 tff(9507,plain,
% 20.36/20.70 ((~![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(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))),
% 20.36/20.70 inference(quant_inst,[status(thm)],[])).
% 20.36/20.70 tff(9508,plain,
% 20.36/20.70 ((~![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(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))),
% 20.36/20.70 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 20.36/20.70 tff(9509,plain,
% 20.36/20.70 ((~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)),
% 20.36/20.70 inference(unit_resolution,[status(thm)],[9508, 965, 9502])).
% 20.36/20.70 tff(9510,plain,
% 20.36/20.70 (m_main_v_state1(s114, c_c1)),
% 20.36/20.70 inference(unit_resolution,[status(thm)],[9509, 9498, 9411, 9375, 9494, 9483])).
% 20.36/20.70 tff(9511,plain,
% 20.36/20.70 (((~![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)))),
% 20.36/20.70 inference(rewrite,[status(thm)],[])).
% 20.36/20.70 tff(9512,plain,
% 20.36/20.70 ((~![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)))),
% 20.36/20.70 inference(quant_inst,[status(thm)],[])).
% 20.36/20.70 tff(9513,plain,
% 20.36/20.70 ((~![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))),
% 20.36/20.70 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 20.36/20.70 tff(9514,plain,
% 20.36/20.70 (~m_main_v_state1(s114, c_n1)),
% 20.36/20.70 inference(unit_resolution,[status(thm)],[9513, 449, 9510])).
% 20.36/20.70 tff(9515,plain,
% 20.36/20.70 (((~![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)))),
% 20.36/20.70 inference(rewrite,[status(thm)],[])).
% 20.36/20.70 tff(9516,plain,
% 20.36/20.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 20.36/20.70 inference(quant_inst,[status(thm)],[])).
% 20.36/20.70 tff(9517,plain,
% 20.36/20.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114))),
% 20.36/20.70 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 20.36/20.70 tff(9518,plain,
% 20.36/20.70 (~node11(s114)),
% 20.36/20.70 inference(unit_resolution,[status(thm)],[9517, 361, 9514])).
% 20.36/20.70 tff(9519,plain,
% 20.36/20.70 (succ(s114, s115) <=> succ(s114, s115)),
% 20.36/20.70 inference(rewrite,[status(thm)],[])).
% 20.36/20.70 tff(9520,axiom,(succ(s114, s115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound115')).
% 20.36/20.70 tff(9521,plain,
% 20.36/20.70 (succ(s114, s115)),
% 20.36/20.70 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 20.36/20.70 tff(9522,plain,
% 20.36/20.70 (((~![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))),
% 20.36/20.70 inference(rewrite,[status(thm)],[])).
% 20.36/20.70 tff(9523,plain,
% 20.36/20.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 20.36/20.70 inference(quant_inst,[status(thm)],[])).
% 20.36/20.70 tff(9524,plain,
% 20.36/20.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 20.36/20.70 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 20.36/20.70 tff(9525,plain,
% 20.36/20.70 (trans(s114, s115)),
% 20.36/20.70 inference(unit_resolution,[status(thm)],[9524, 9521, 57])).
% 20.36/20.70 tff(9526,plain,
% 20.36/20.70 (((~![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))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9527,plain,
% 20.44/20.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9528,plain,
% 20.44/20.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115)),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 20.44/20.70 tff(9529,plain,
% 20.44/20.70 (node14(s114, s115)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9528, 130, 9525])).
% 20.44/20.70 tff(9530,plain,
% 20.44/20.70 (((~![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(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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9531,plain,
% 20.44/20.70 ((~![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(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9532,plain,
% 20.44/20.70 ((~![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(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9531, 9530])).
% 20.44/20.70 tff(9533,plain,
% 20.44/20.70 (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9532, 401, 9529])).
% 20.44/20.70 tff(9534,plain,
% 20.44/20.70 (node13(s114, s115)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9533, 9518, 9475, 9471, 9467, 9463, 9446])).
% 20.44/20.70 tff(9535,plain,
% 20.44/20.70 (((~![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(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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9536,plain,
% 20.44/20.70 (((~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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9537,plain,
% 20.44/20.70 (((~![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))))),
% 20.44/20.70 inference(monotonicity,[status(thm)],[9536])).
% 20.44/20.70 tff(9538,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(transitivity,[status(thm)],[9537, 9535])).
% 20.44/20.70 tff(9539,plain,
% 20.44/20.70 ((~![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)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9540,plain,
% 20.44/20.70 ((~![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(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 20.44/20.70 tff(9541,plain,
% 20.44/20.70 (~m_main_v_state2(s115, c_n2)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9540, 416, 9459, 9534])).
% 20.44/20.70 tff(9542,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9543,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9544,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9543, 9542])).
% 20.44/20.70 tff(9545,plain,
% 20.44/20.70 (~node9(s115)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9544, 311, 9541])).
% 20.44/20.70 tff(9546,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9547,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9548,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9547, 9546])).
% 20.44/20.70 tff(9549,plain,
% 20.44/20.70 (~node10(s115)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9548, 372, 9541])).
% 20.44/20.70 tff(9550,plain,
% 20.44/20.70 (((~![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(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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9551,plain,
% 20.44/20.70 (((~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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9552,plain,
% 20.44/20.70 (((~![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))))),
% 20.44/20.70 inference(monotonicity,[status(thm)],[9551])).
% 20.44/20.70 tff(9553,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(transitivity,[status(thm)],[9552, 9550])).
% 20.44/20.70 tff(9554,plain,
% 20.44/20.70 ((~![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))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9555,plain,
% 20.44/20.70 ((~![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(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 20.44/20.70 tff(9556,plain,
% 20.44/20.70 (m_main_v_state2(s115, c_t2)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9555, 563, 9455, 9534])).
% 20.44/20.70 tff(9557,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9558,plain,
% 20.44/20.70 ((~![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)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9559,plain,
% 20.44/20.70 ((~![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))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9558, 9557])).
% 20.44/20.70 tff(9560,plain,
% 20.44/20.70 (~m_main_v_state1(s114, c_t1)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9559, 289, 9510])).
% 20.44/20.70 tff(9561,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9562,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9563,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9562, 9561])).
% 20.44/20.70 tff(9564,plain,
% 20.44/20.70 (~node5(s114)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9563, 300, 9560])).
% 20.44/20.70 tff(9565,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9566,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9567,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 20.44/20.70 tff(9568,plain,
% 20.44/20.70 (~node4(s114)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9567, 162, 9459])).
% 20.44/20.70 tff(9569,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9570,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9571,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9570, 9569])).
% 20.44/20.70 tff(9572,plain,
% 20.44/20.70 (~node3(s114)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9571, 184, 9475])).
% 20.44/20.70 tff(9573,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.70 inference(rewrite,[status(thm)],[])).
% 20.44/20.70 tff(9574,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 20.44/20.70 inference(quant_inst,[status(thm)],[])).
% 20.44/20.70 tff(9575,plain,
% 20.44/20.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114))),
% 20.44/20.70 inference(modus_ponens,[status(thm)],[9574, 9573])).
% 20.44/20.70 tff(9576,plain,
% 20.44/20.70 (~node2(s114)),
% 20.44/20.70 inference(unit_resolution,[status(thm)],[9575, 195, 9459])).
% 20.44/20.70 tff(9577,plain,
% 20.44/20.70 (((~![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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9578,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9579,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114))),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 20.44/20.71 tff(9580,plain,
% 20.44/20.71 (~node1(s114)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9579, 249, 9514])).
% 20.44/20.71 tff(9581,plain,
% 20.44/20.71 (((~![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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9582,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9583,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9582, 9581])).
% 20.44/20.71 tff(9584,plain,
% 20.44/20.71 (node7(s114, s115)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9583, 217, 9525])).
% 20.44/20.71 tff(9585,plain,
% 20.44/20.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9586,plain,
% 20.44/20.71 (((~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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9587,plain,
% 20.44/20.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 20.44/20.71 inference(monotonicity,[status(thm)],[9586])).
% 20.44/20.71 tff(9588,plain,
% 20.44/20.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 20.44/20.71 inference(transitivity,[status(thm)],[9587, 9585])).
% 20.44/20.71 tff(9589,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9590,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 20.44/20.71 tff(9591,plain,
% 20.44/20.71 (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9590, 478, 9584])).
% 20.44/20.71 tff(9592,plain,
% 20.44/20.71 (m_main_v_state1(s115, c_n1)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9591, 9580, 9510, 9576, 9572, 9568, 9564])).
% 20.44/20.71 tff(9593,plain,
% 20.44/20.71 (((~![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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9594,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9595,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115))),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9594, 9593])).
% 20.44/20.71 tff(9596,plain,
% 20.44/20.71 (~node8(s115)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9595, 383, 9541])).
% 20.44/20.71 tff(9597,plain,
% 20.44/20.71 (succ(s115, s116) <=> succ(s115, s116)),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9598,axiom,(succ(s115, s116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound116')).
% 20.44/20.71 tff(9599,plain,
% 20.44/20.71 (succ(s115, s116)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9598, 9597])).
% 20.44/20.71 tff(9600,plain,
% 20.44/20.71 (((~![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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9601,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9602,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 20.44/20.71 tff(9603,plain,
% 20.44/20.71 (trans(s115, s116)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9602, 9599, 57])).
% 20.44/20.71 tff(9604,plain,
% 20.44/20.71 (((~![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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9605,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9606,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 20.44/20.71 tff(9607,plain,
% 20.44/20.71 (node14(s115, s116)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9606, 130, 9603])).
% 20.44/20.71 tff(9608,plain,
% 20.44/20.71 (((~![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(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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9609,plain,
% 20.44/20.71 ((~![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(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))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9610,plain,
% 20.44/20.71 ((~![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(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)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 20.44/20.71 tff(9611,plain,
% 20.44/20.71 ((~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)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9610, 704, 9607])).
% 20.44/20.71 tff(9612,plain,
% 20.44/20.71 (m_main_v_state2(s116, c_c2)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9611, 9596, 9592, 9556, 9549, 9545])).
% 20.44/20.71 tff(9613,plain,
% 20.44/20.71 (((~![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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9614,plain,
% 20.44/20.71 ((~![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)))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9615,plain,
% 20.44/20.71 ((~![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))),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 20.44/20.71 tff(9616,plain,
% 20.44/20.71 (~m_main_v_state2(s116, c_t2)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9615, 173, 9612])).
% 20.44/20.71 tff(9617,plain,
% 20.44/20.71 (((~![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)))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9618,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9619,plain,
% 20.44/20.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116))),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 20.44/20.71 tff(9620,plain,
% 20.44/20.71 (~node12(s116)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9619, 778, 9616])).
% 20.44/20.71 tff(9621,plain,
% 20.44/20.71 (((~![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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9622,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))),
% 20.44/20.71 inference(quant_inst,[status(thm)],[])).
% 20.44/20.71 tff(9623,plain,
% 20.44/20.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116)),
% 20.44/20.71 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 20.44/20.71 tff(9624,plain,
% 20.44/20.71 (node7(s115, s116)),
% 20.44/20.71 inference(unit_resolution,[status(thm)],[9623, 217, 9603])).
% 20.44/20.71 tff(9625,plain,
% 20.44/20.71 (((~![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(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))),
% 20.44/20.71 inference(rewrite,[status(thm)],[])).
% 20.44/20.71 tff(9626,plain,
% 20.44/20.71 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9627,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1)),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9626, 9625])).
% 20.44/20.72 tff(9628,plain,
% 20.44/20.72 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_state1(s116, c_t1)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9627, 598, 9624])).
% 20.44/20.72 tff(9629,plain,
% 20.44/20.72 (m_main_v_state1(s116, c_t1)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9628, 9556, 9592])).
% 20.44/20.72 tff(9630,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9631,plain,
% 20.44/20.72 ((~![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)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9632,plain,
% 20.44/20.72 ((~![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))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 20.44/20.72 tff(9633,plain,
% 20.44/20.72 (~m_main_v_state1(s116, c_n1)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9632, 35, 9629])).
% 20.44/20.72 tff(9634,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9635,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9636,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 20.44/20.72 tff(9637,plain,
% 20.44/20.72 (~node11(s116)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9636, 361, 9633])).
% 20.44/20.72 tff(9638,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9639,plain,
% 20.44/20.72 ((~![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)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9640,plain,
% 20.44/20.72 ((~![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))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 20.44/20.72 tff(9641,plain,
% 20.44/20.72 (~m_main_v_state1(s116, c_c1)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9640, 289, 9629])).
% 20.44/20.72 tff(9642,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9643,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9644,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 20.44/20.72 tff(9645,plain,
% 20.44/20.72 (~node10(s116)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9644, 793, 9641])).
% 20.44/20.72 tff(9646,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9647,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9648,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 20.44/20.72 tff(9649,plain,
% 20.44/20.72 (~node9(s116)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9648, 804, 9633])).
% 20.44/20.72 tff(9650,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9651,plain,
% 20.44/20.72 ((~![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)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9652,plain,
% 20.44/20.72 ((~![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))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9651, 9650])).
% 20.44/20.72 tff(9653,plain,
% 20.44/20.72 (~m_main_v_state2(s116, c_n2)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9652, 716, 9612])).
% 20.44/20.72 tff(9654,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9655,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9656,plain,
% 20.44/20.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9655, 9654])).
% 20.44/20.72 tff(9657,plain,
% 20.44/20.72 (~node8(s116)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9656, 383, 9653])).
% 20.44/20.72 tff(9658,plain,
% 20.44/20.72 (succ(s116, s117) <=> succ(s116, s117)),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9659,axiom,(succ(s116, s117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound117')).
% 20.44/20.72 tff(9660,plain,
% 20.44/20.72 (succ(s116, s117)),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 20.44/20.72 tff(9661,plain,
% 20.44/20.72 (((~![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))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9662,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9663,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 20.44/20.72 tff(9664,plain,
% 20.44/20.72 (trans(s116, s117)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9663, 9660, 57])).
% 20.44/20.72 tff(9665,plain,
% 20.44/20.72 (((~![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))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9666,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9667,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117)),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 20.44/20.72 tff(9668,plain,
% 20.44/20.72 (node14(s116, s117)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9667, 130, 9664])).
% 20.44/20.72 tff(9669,plain,
% 20.44/20.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9670,plain,
% 20.44/20.72 (((~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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9671,plain,
% 20.44/20.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 20.44/20.72 inference(monotonicity,[status(thm)],[9670])).
% 20.44/20.72 tff(9672,plain,
% 20.44/20.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 20.44/20.72 inference(transitivity,[status(thm)],[9671, 9669])).
% 20.44/20.72 tff(9673,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))),
% 20.44/20.72 inference(quant_inst,[status(thm)],[])).
% 20.44/20.72 tff(9674,plain,
% 20.44/20.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))),
% 20.44/20.72 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 20.44/20.72 tff(9675,plain,
% 20.44/20.72 (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~m_main_v_state2(s116, c_c2))),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9674, 826, 9668])).
% 20.44/20.72 tff(9676,plain,
% 20.44/20.72 (m_main_v_state2(s117, c_n2)),
% 20.44/20.72 inference(unit_resolution,[status(thm)],[9675, 9657, 9612, 9649, 9645, 9637, 9620])).
% 20.44/20.72 tff(9677,plain,
% 20.44/20.72 (((~![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)))),
% 20.44/20.72 inference(rewrite,[status(thm)],[])).
% 20.44/20.72 tff(9678,plain,
% 20.44/20.72 ((~![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)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9679,plain,
% 20.44/20.73 ((~![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))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 20.44/20.73 tff(9680,plain,
% 20.44/20.73 (~m_main_v_state2(s117, c_c2)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9679, 716, 9676])).
% 20.44/20.73 tff(9681,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9682,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9683,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9682, 9681])).
% 20.44/20.73 tff(9684,plain,
% 20.44/20.73 (~node3(s117)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9683, 184, 9680])).
% 20.44/20.73 tff(9685,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9686,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9687,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 20.44/20.73 tff(9688,plain,
% 20.44/20.73 (~node1(s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9687, 249, 9633])).
% 20.44/20.73 tff(9689,plain,
% 20.44/20.73 (((~![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))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9690,plain,
% 20.44/20.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9691,plain,
% 20.44/20.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116)),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 20.44/20.73 tff(9692,plain,
% 20.44/20.73 (node18(s115, s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9691, 71, 9603])).
% 20.44/20.73 tff(9693,plain,
% 20.44/20.73 (((~![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(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))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9694,plain,
% 20.44/20.73 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9695,plain,
% 20.44/20.73 ((~![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(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2)),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 20.44/20.73 tff(9696,plain,
% 20.44/20.73 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_turn(s116, c_2)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9695, 625, 9692])).
% 20.44/20.73 tff(9697,plain,
% 20.44/20.73 (m_main_v_turn(s116, c_2)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9696, 9556, 9592])).
% 20.44/20.73 tff(9698,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9699,plain,
% 20.44/20.73 ((~![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)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9700,plain,
% 20.44/20.73 ((~![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))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9699, 9698])).
% 20.44/20.73 tff(9701,plain,
% 20.44/20.73 (~m_main_v_turn(s116, c_1)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9700, 322, 9697])).
% 20.44/20.73 tff(9702,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9703,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9704,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9703, 9702])).
% 20.44/20.73 tff(9705,plain,
% 20.44/20.73 (~node5(s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9704, 641, 9701])).
% 20.44/20.73 tff(9706,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9707,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9708,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 20.44/20.73 tff(9709,plain,
% 20.44/20.73 (~node2(s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9708, 652, 9633])).
% 20.44/20.73 tff(9710,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9711,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9712,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9711, 9710])).
% 20.44/20.73 tff(9713,plain,
% 20.44/20.73 (~node3(s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9712, 663, 9633])).
% 20.44/20.73 tff(9714,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9715,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9716,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9715, 9714])).
% 20.44/20.73 tff(9717,plain,
% 20.44/20.73 (~node4(s116)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9716, 162, 9653])).
% 20.44/20.73 tff(9718,plain,
% 20.44/20.73 (((~![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))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9719,plain,
% 20.44/20.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9720,plain,
% 20.44/20.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117)),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9719, 9718])).
% 20.44/20.73 tff(9721,plain,
% 20.44/20.73 (node7(s116, s117)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9720, 217, 9664])).
% 20.44/20.73 tff(9722,plain,
% 20.44/20.73 (((~![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(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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9723,plain,
% 20.44/20.73 ((~![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(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9724,plain,
% 20.44/20.73 ((~![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(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9723, 9722])).
% 20.44/20.73 tff(9725,plain,
% 20.44/20.73 (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9724, 745, 9721])).
% 20.44/20.73 tff(9726,plain,
% 20.44/20.73 (node6(s116, s117)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9725, 9717, 9641, 9713, 9709, 9705, 9688])).
% 20.44/20.73 tff(9727,plain,
% 20.44/20.73 (((~![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(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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9728,plain,
% 20.44/20.73 (((~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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9729,plain,
% 20.44/20.73 (((~![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))))),
% 20.44/20.73 inference(monotonicity,[status(thm)],[9728])).
% 20.44/20.73 tff(9730,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(transitivity,[status(thm)],[9729, 9727])).
% 20.44/20.73 tff(9731,plain,
% 20.44/20.73 ((~![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)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9732,plain,
% 20.44/20.73 ((~![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(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 20.44/20.73 tff(9733,plain,
% 20.44/20.73 (~m_main_v_state1(s117, c_n1)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9732, 936, 9633, 9726])).
% 20.44/20.73 tff(9734,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9735,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9736,plain,
% 20.44/20.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 20.44/20.73 tff(9737,plain,
% 20.44/20.73 (~node2(s117)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9736, 652, 9733])).
% 20.44/20.73 tff(9738,plain,
% 20.44/20.73 (((~![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(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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9739,plain,
% 20.44/20.73 (((~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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9740,plain,
% 20.44/20.73 (((~![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))))),
% 20.44/20.73 inference(monotonicity,[status(thm)],[9739])).
% 20.44/20.73 tff(9741,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(transitivity,[status(thm)],[9740, 9738])).
% 20.44/20.73 tff(9742,plain,
% 20.44/20.73 ((~![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))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9743,plain,
% 20.44/20.73 ((~![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(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 20.44/20.73 tff(9744,plain,
% 20.44/20.73 (m_main_v_state1(s117, c_t1)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9743, 760, 9629, 9726])).
% 20.44/20.73 tff(9745,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.73 inference(rewrite,[status(thm)],[])).
% 20.44/20.73 tff(9746,plain,
% 20.44/20.73 ((~![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)))),
% 20.44/20.73 inference(quant_inst,[status(thm)],[])).
% 20.44/20.73 tff(9747,plain,
% 20.44/20.73 ((~![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))),
% 20.44/20.73 inference(modus_ponens,[status(thm)],[9746, 9745])).
% 20.44/20.73 tff(9748,plain,
% 20.44/20.73 (~m_main_v_state2(s117, c_t2)),
% 20.44/20.73 inference(unit_resolution,[status(thm)],[9747, 10, 9676])).
% 20.44/20.73 tff(9749,plain,
% 20.44/20.73 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9750,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9751,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9750, 9749])).
% 20.44/20.74 tff(9752,plain,
% 20.44/20.74 (~node1(s117)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9751, 206, 9748])).
% 20.44/20.74 tff(9753,plain,
% 20.44/20.74 (succ(s117, s118) <=> succ(s117, s118)),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9754,axiom,(succ(s117, s118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound118')).
% 20.44/20.74 tff(9755,plain,
% 20.44/20.74 (succ(s117, s118)),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9754, 9753])).
% 20.44/20.74 tff(9756,plain,
% 20.44/20.74 (((~![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))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9757,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9758,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9757, 9756])).
% 20.44/20.74 tff(9759,plain,
% 20.44/20.74 (trans(s117, s118)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9758, 9755, 57])).
% 20.44/20.74 tff(9760,plain,
% 20.44/20.74 (((~![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))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9761,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9762,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118)),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9761, 9760])).
% 20.44/20.74 tff(9763,plain,
% 20.44/20.74 (node7(s117, s118)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9762, 217, 9759])).
% 20.44/20.74 tff(9764,plain,
% 20.44/20.74 (((~![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(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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9765,plain,
% 20.44/20.74 (((~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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9766,plain,
% 20.44/20.74 (((~![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(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))))),
% 20.44/20.74 inference(monotonicity,[status(thm)],[9765])).
% 20.44/20.74 tff(9767,plain,
% 20.44/20.74 (((~![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(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)))),
% 20.44/20.74 inference(transitivity,[status(thm)],[9766, 9764])).
% 20.44/20.74 tff(9768,plain,
% 20.44/20.74 ((~![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(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))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9769,plain,
% 20.44/20.74 ((~![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(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))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9768, 9767])).
% 20.44/20.74 tff(9770,plain,
% 20.44/20.74 ((~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)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9769, 965, 9763])).
% 20.44/20.74 tff(9771,plain,
% 20.44/20.74 (m_main_v_state1(s118, c_c1)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9770, 9752, 9676, 9744, 9737, 9684])).
% 20.44/20.74 tff(9772,plain,
% 20.44/20.74 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9773,plain,
% 20.44/20.74 ((~![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)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9774,plain,
% 20.44/20.74 ((~![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))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 20.44/20.74 tff(9775,plain,
% 20.44/20.74 (~m_main_v_state1(s118, c_t1)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9774, 289, 9771])).
% 20.44/20.74 tff(9776,plain,
% 20.44/20.74 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9777,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9778,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 20.44/20.74 tff(9779,plain,
% 20.44/20.74 (~node5(s118)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9778, 300, 9775])).
% 20.44/20.74 tff(9780,plain,
% 20.44/20.74 (((~![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))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9781,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9782,plain,
% 20.44/20.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118)),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 20.44/20.74 tff(9783,plain,
% 20.44/20.74 (node14(s117, s118)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9782, 130, 9759])).
% 20.44/20.74 tff(9784,plain,
% 20.44/20.74 (((~![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(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))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9785,plain,
% 20.44/20.74 ((~![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(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9786,plain,
% 20.44/20.74 ((~![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(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2)),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9785, 9784])).
% 20.44/20.74 tff(9787,plain,
% 20.44/20.74 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state2(s118, c_t2)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9786, 893, 9783])).
% 20.44/20.74 tff(9788,plain,
% 20.44/20.74 (m_main_v_state2(s118, c_t2)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9787, 9744, 9676])).
% 20.44/20.74 tff(9789,plain,
% 20.44/20.74 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9790,plain,
% 20.44/20.74 ((~![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)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9791,plain,
% 20.44/20.74 ((~![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))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9790, 9789])).
% 20.44/20.74 tff(9792,plain,
% 20.44/20.74 (~m_main_v_state2(s118, c_n2)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9791, 10, 9788])).
% 20.44/20.74 tff(9793,plain,
% 20.44/20.74 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9794,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9795,plain,
% 20.44/20.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 20.44/20.74 tff(9796,plain,
% 20.44/20.74 (~node4(s118)),
% 20.44/20.74 inference(unit_resolution,[status(thm)],[9795, 162, 9792])).
% 20.44/20.74 tff(9797,plain,
% 20.44/20.74 (((~![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)))),
% 20.44/20.74 inference(rewrite,[status(thm)],[])).
% 20.44/20.74 tff(9798,plain,
% 20.44/20.74 ((~![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)))),
% 20.44/20.74 inference(quant_inst,[status(thm)],[])).
% 20.44/20.74 tff(9799,plain,
% 20.44/20.74 ((~![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))),
% 20.44/20.74 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 20.44/20.75 tff(9800,plain,
% 20.44/20.75 (~m_main_v_state2(s118, c_c2)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9799, 173, 9788])).
% 20.44/20.75 tff(9801,plain,
% 20.44/20.75 (((~![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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9802,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9803,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 20.44/20.75 tff(9804,plain,
% 20.44/20.75 (~node3(s118)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9803, 184, 9800])).
% 20.44/20.75 tff(9805,plain,
% 20.44/20.75 (((~![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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9806,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9807,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 20.44/20.75 tff(9808,plain,
% 20.44/20.75 (~node2(s118)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9807, 195, 9792])).
% 20.44/20.75 tff(9809,plain,
% 20.44/20.75 (((~![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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9810,plain,
% 20.44/20.75 ((~![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)))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9811,plain,
% 20.44/20.75 ((~![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))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 20.44/20.75 tff(9812,plain,
% 20.44/20.75 (~m_main_v_state1(s118, c_n1)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9811, 449, 9771])).
% 20.44/20.75 tff(9813,plain,
% 20.44/20.75 (((~![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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9814,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9815,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 20.44/20.75 tff(9816,plain,
% 20.44/20.75 (~node1(s118)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9815, 249, 9812])).
% 20.44/20.75 tff(9817,plain,
% 20.44/20.75 (succ(s118, s119) <=> succ(s118, s119)),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9818,axiom,(succ(s118, s119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound119')).
% 20.44/20.75 tff(9819,plain,
% 20.44/20.75 (succ(s118, s119)),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 20.44/20.75 tff(9820,plain,
% 20.44/20.75 (((~![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))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9821,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9822,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 20.44/20.75 tff(9823,plain,
% 20.44/20.75 (trans(s118, s119)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9822, 9819, 57])).
% 20.44/20.75 tff(9824,plain,
% 20.44/20.75 (((~![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))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9825,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9826,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119)),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9825, 9824])).
% 20.44/20.75 tff(9827,plain,
% 20.44/20.75 (node7(s118, s119)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9826, 217, 9823])).
% 20.44/20.75 tff(9828,plain,
% 20.44/20.75 (((~![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(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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9829,plain,
% 20.44/20.75 (((~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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9830,plain,
% 20.44/20.75 (((~![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(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))))),
% 20.44/20.75 inference(monotonicity,[status(thm)],[9829])).
% 20.44/20.75 tff(9831,plain,
% 20.44/20.75 (((~![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(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)))),
% 20.44/20.75 inference(transitivity,[status(thm)],[9830, 9828])).
% 20.44/20.75 tff(9832,plain,
% 20.44/20.75 ((~![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(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9833,plain,
% 20.44/20.75 ((~![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(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 20.44/20.75 tff(9834,plain,
% 20.44/20.75 (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9833, 478, 9827])).
% 20.44/20.75 tff(9835,plain,
% 20.44/20.75 (m_main_v_state1(s119, c_n1)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9834, 9816, 9771, 9808, 9804, 9796, 9779])).
% 20.44/20.75 tff(9836,plain,
% 20.44/20.75 (((~![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)))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9837,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9838,plain,
% 20.44/20.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117))),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 20.44/20.75 tff(9839,plain,
% 20.44/20.75 (~node15(s117)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9838, 21, 9748])).
% 20.44/20.75 tff(9840,plain,
% 20.44/20.75 (((~![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))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9841,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))),
% 20.44/20.75 inference(quant_inst,[status(thm)],[])).
% 20.44/20.75 tff(9842,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118)),
% 20.44/20.75 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 20.44/20.75 tff(9843,plain,
% 20.44/20.75 (node18(s117, s118)),
% 20.44/20.75 inference(unit_resolution,[status(thm)],[9842, 71, 9759])).
% 20.44/20.75 tff(9844,plain,
% 20.44/20.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9845,plain,
% 20.44/20.75 (((~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))),
% 20.44/20.75 inference(rewrite,[status(thm)],[])).
% 20.44/20.75 tff(9846,plain,
% 20.44/20.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 20.44/20.75 inference(monotonicity,[status(thm)],[9845])).
% 20.44/20.75 tff(9847,plain,
% 20.44/20.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 20.44/20.75 inference(transitivity,[status(thm)],[9846, 9844])).
% 20.44/20.75 tff(9848,plain,
% 20.44/20.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9849,plain,
% 20.44/20.76 ((~![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(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)),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9848, 9847])).
% 20.44/20.76 tff(9850,plain,
% 20.44/20.76 (node15(s117) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9849, 863, 9843])).
% 20.44/20.76 tff(9851,plain,
% 20.44/20.76 (m_main_v_turn(s118, c_1)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9850, 9839, 9676, 9744])).
% 20.44/20.76 tff(9852,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9853,plain,
% 20.44/20.76 ((~![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)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9854,plain,
% 20.44/20.76 ((~![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))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 20.44/20.76 tff(9855,plain,
% 20.44/20.76 (~m_main_v_turn(s118, c_2)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9854, 322, 9851])).
% 20.44/20.76 tff(9856,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9857,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9858,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 20.44/20.76 tff(9859,plain,
% 20.44/20.76 (~node12(s118)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9858, 350, 9855])).
% 20.44/20.76 tff(9860,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9861,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9862,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 20.44/20.76 tff(9863,plain,
% 20.44/20.76 (~node8(s118)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9862, 383, 9792])).
% 20.44/20.76 tff(9864,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9865,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9866,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9865, 9864])).
% 20.44/20.76 tff(9867,plain,
% 20.44/20.76 (~node9(s118)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9866, 311, 9792])).
% 20.44/20.76 tff(9868,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9869,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9870,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 20.44/20.76 tff(9871,plain,
% 20.44/20.76 (~node10(s118)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9870, 372, 9792])).
% 20.44/20.76 tff(9872,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9873,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9874,plain,
% 20.44/20.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 20.44/20.76 tff(9875,plain,
% 20.44/20.76 (~node11(s118)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9874, 361, 9812])).
% 20.44/20.76 tff(9876,plain,
% 20.44/20.76 (((~![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))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9877,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9878,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119)),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 20.44/20.76 tff(9879,plain,
% 20.44/20.76 (node14(s118, s119)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9878, 130, 9823])).
% 20.44/20.76 tff(9880,plain,
% 20.44/20.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9881,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9882,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 20.44/20.76 tff(9883,plain,
% 20.44/20.76 (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9882, 401, 9879])).
% 20.44/20.76 tff(9884,plain,
% 20.44/20.76 (node13(s118, s119)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9883, 9875, 9800, 9871, 9867, 9863, 9859])).
% 20.44/20.76 tff(9885,plain,
% 20.44/20.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9886,plain,
% 20.44/20.76 (((~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)))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9887,plain,
% 20.44/20.76 (((~![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))))),
% 20.44/20.76 inference(monotonicity,[status(thm)],[9886])).
% 20.44/20.76 tff(9888,plain,
% 20.44/20.76 (((~![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)))),
% 20.44/20.76 inference(transitivity,[status(thm)],[9887, 9885])).
% 20.44/20.76 tff(9889,plain,
% 20.44/20.76 ((~![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))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9890,plain,
% 20.44/20.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9889, 9888])).
% 20.44/20.76 tff(9891,plain,
% 20.44/20.76 (m_main_v_state2(s119, c_t2)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9890, 563, 9788, 9884])).
% 20.44/20.76 tff(9892,plain,
% 20.44/20.76 (succ(s119, s120) <=> succ(s119, s120)),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9893,axiom,(succ(s119, s120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound120')).
% 20.44/20.76 tff(9894,plain,
% 20.44/20.76 (succ(s119, s120)),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9893, 9892])).
% 20.44/20.76 tff(9895,plain,
% 20.44/20.76 (((~![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))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9896,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9897,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 20.44/20.76 tff(9898,plain,
% 20.44/20.76 (trans(s119, s120)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9897, 9894, 57])).
% 20.44/20.76 tff(9899,plain,
% 20.44/20.76 (((~![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))),
% 20.44/20.76 inference(rewrite,[status(thm)],[])).
% 20.44/20.76 tff(9900,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))),
% 20.44/20.76 inference(quant_inst,[status(thm)],[])).
% 20.44/20.76 tff(9901,plain,
% 20.44/20.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120)),
% 20.44/20.76 inference(modus_ponens,[status(thm)],[9900, 9899])).
% 20.44/20.76 tff(9902,plain,
% 20.44/20.76 (node7(s119, s120)),
% 20.44/20.76 inference(unit_resolution,[status(thm)],[9901, 217, 9898])).
% 20.44/20.76 tff(9903,plain,
% 20.44/20.76 (((~![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(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))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9904,plain,
% 20.44/20.77 ((~![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(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9905,plain,
% 20.44/20.77 ((~![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(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1)),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 20.44/20.77 tff(9906,plain,
% 20.44/20.77 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_state1(s120, c_t1)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9905, 598, 9902])).
% 20.44/20.77 tff(9907,plain,
% 20.44/20.77 (m_main_v_state1(s120, c_t1)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9906, 9891, 9835])).
% 20.44/20.77 tff(9908,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9909,plain,
% 20.44/20.77 ((~![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)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9910,plain,
% 20.44/20.77 ((~![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))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 20.44/20.77 tff(9911,plain,
% 20.44/20.77 (~m_main_v_state1(s120, c_n1)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9910, 35, 9907])).
% 20.44/20.77 tff(9912,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9913,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9914,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 20.44/20.77 tff(9915,plain,
% 20.44/20.77 (~node1(s120)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9914, 249, 9911])).
% 20.44/20.77 tff(9916,plain,
% 20.44/20.77 (((~![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))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9917,plain,
% 20.44/20.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9918,plain,
% 20.44/20.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120)),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9917, 9916])).
% 20.44/20.77 tff(9919,plain,
% 20.44/20.77 (node18(s119, s120)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9918, 71, 9898])).
% 20.44/20.77 tff(9920,plain,
% 20.44/20.77 (((~![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(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))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9921,plain,
% 20.44/20.77 ((~![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(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9922,plain,
% 20.44/20.77 ((~![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(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2)),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 20.44/20.77 tff(9923,plain,
% 20.44/20.77 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_turn(s120, c_2)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9922, 625, 9919])).
% 20.44/20.77 tff(9924,plain,
% 20.44/20.77 (m_main_v_turn(s120, c_2)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9923, 9891, 9835])).
% 20.44/20.77 tff(9925,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9926,plain,
% 20.44/20.77 ((~![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)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9927,plain,
% 20.44/20.77 ((~![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))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 20.44/20.77 tff(9928,plain,
% 20.44/20.77 (~m_main_v_turn(s120, c_1)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9927, 322, 9924])).
% 20.44/20.77 tff(9929,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9930,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9931,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 20.44/20.77 tff(9932,plain,
% 20.44/20.77 (~node5(s120)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9931, 641, 9928])).
% 20.44/20.77 tff(9933,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9934,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9935,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 20.44/20.77 tff(9936,plain,
% 20.44/20.77 (~node2(s120)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9935, 652, 9911])).
% 20.44/20.77 tff(9937,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9938,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9939,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 20.44/20.77 tff(9940,plain,
% 20.44/20.77 (~node3(s120)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9939, 663, 9911])).
% 20.44/20.77 tff(9941,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9942,plain,
% 20.44/20.77 ((~![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)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9943,plain,
% 20.44/20.77 ((~![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))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 20.44/20.77 tff(9944,plain,
% 20.44/20.77 (~m_main_v_state1(s120, c_c1)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9943, 289, 9907])).
% 20.44/20.77 tff(9945,plain,
% 20.44/20.77 (((~![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(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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9946,plain,
% 20.44/20.77 (((~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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9947,plain,
% 20.44/20.77 (((~![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))))),
% 20.44/20.77 inference(monotonicity,[status(thm)],[9946])).
% 20.44/20.77 tff(9948,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(transitivity,[status(thm)],[9947, 9945])).
% 20.44/20.77 tff(9949,plain,
% 20.44/20.77 ((~![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)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9950,plain,
% 20.44/20.77 ((~![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(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 20.44/20.77 tff(9951,plain,
% 20.44/20.77 (~m_main_v_state2(s119, c_n2)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9950, 416, 9792, 9884])).
% 20.44/20.77 tff(9952,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9953,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9954,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119))),
% 20.44/20.77 inference(modus_ponens,[status(thm)],[9953, 9952])).
% 20.44/20.77 tff(9955,plain,
% 20.44/20.77 (~node9(s119)),
% 20.44/20.77 inference(unit_resolution,[status(thm)],[9954, 311, 9951])).
% 20.44/20.77 tff(9956,plain,
% 20.44/20.77 (((~![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)))),
% 20.44/20.77 inference(rewrite,[status(thm)],[])).
% 20.44/20.77 tff(9957,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 20.44/20.77 inference(quant_inst,[status(thm)],[])).
% 20.44/20.77 tff(9958,plain,
% 20.44/20.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 20.44/20.78 tff(9959,plain,
% 20.44/20.78 (~node10(s119)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9958, 372, 9951])).
% 20.44/20.78 tff(9960,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9961,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9962,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 20.44/20.78 tff(9963,plain,
% 20.44/20.78 (~node8(s119)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9962, 383, 9951])).
% 20.44/20.78 tff(9964,plain,
% 20.44/20.78 (((~![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))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9965,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9966,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120)),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 20.44/20.78 tff(9967,plain,
% 20.44/20.78 (node14(s119, s120)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9966, 130, 9898])).
% 20.44/20.78 tff(9968,plain,
% 20.44/20.78 (((~![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(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))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9969,plain,
% 20.44/20.78 ((~![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(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))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9970,plain,
% 20.44/20.78 ((~![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(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)),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 20.44/20.78 tff(9971,plain,
% 20.44/20.78 ((~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)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9970, 704, 9967])).
% 20.44/20.78 tff(9972,plain,
% 20.44/20.78 (m_main_v_state2(s120, c_c2)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9971, 9963, 9835, 9891, 9959, 9955])).
% 20.44/20.78 tff(9973,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9974,plain,
% 20.44/20.78 ((~![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)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9975,plain,
% 20.44/20.78 ((~![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))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 20.44/20.78 tff(9976,plain,
% 20.44/20.78 (~m_main_v_state2(s120, c_n2)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9975, 716, 9972])).
% 20.44/20.78 tff(9977,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9978,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9979,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 20.44/20.78 tff(9980,plain,
% 20.44/20.78 (~node4(s120)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9979, 162, 9976])).
% 20.44/20.78 tff(9981,plain,
% 20.44/20.78 (succ(s120, s121) <=> succ(s120, s121)),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9982,axiom,(succ(s120, s121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound121')).
% 20.44/20.78 tff(9983,plain,
% 20.44/20.78 (succ(s120, s121)),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 20.44/20.78 tff(9984,plain,
% 20.44/20.78 (((~![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))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9985,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9986,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9985, 9984])).
% 20.44/20.78 tff(9987,plain,
% 20.44/20.78 (trans(s120, s121)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9986, 9983, 57])).
% 20.44/20.78 tff(9988,plain,
% 20.44/20.78 (((~![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))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9989,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9990,plain,
% 20.44/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121)),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 20.44/20.78 tff(9991,plain,
% 20.44/20.78 (node7(s120, s121)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9990, 217, 9987])).
% 20.44/20.78 tff(9992,plain,
% 20.44/20.78 (((~![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(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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9993,plain,
% 20.44/20.78 ((~![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(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(9994,plain,
% 20.44/20.78 ((~![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(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 20.44/20.78 tff(9995,plain,
% 20.44/20.78 (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9994, 745, 9991])).
% 20.44/20.78 tff(9996,plain,
% 20.44/20.78 (node6(s120, s121)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[9995, 9980, 9944, 9940, 9936, 9932, 9915])).
% 20.44/20.78 tff(9997,plain,
% 20.44/20.78 (((~![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(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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9998,plain,
% 20.44/20.78 (((~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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(9999,plain,
% 20.44/20.78 (((~![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))))),
% 20.44/20.78 inference(monotonicity,[status(thm)],[9998])).
% 20.44/20.78 tff(10000,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(transitivity,[status(thm)],[9999, 9997])).
% 20.44/20.78 tff(10001,plain,
% 20.44/20.78 ((~![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))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(10002,plain,
% 20.44/20.78 ((~![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(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[10001, 10000])).
% 20.44/20.78 tff(10003,plain,
% 20.44/20.78 (m_main_v_state1(s121, c_t1)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[10002, 760, 9907, 9996])).
% 20.44/20.78 tff(10004,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(10005,plain,
% 20.44/20.78 ((~![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)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(10006,plain,
% 20.44/20.78 ((~![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))),
% 20.44/20.78 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 20.44/20.78 tff(10007,plain,
% 20.44/20.78 (~m_main_v_state2(s120, c_t2)),
% 20.44/20.78 inference(unit_resolution,[status(thm)],[10006, 173, 9972])).
% 20.44/20.78 tff(10008,plain,
% 20.44/20.78 (((~![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)))),
% 20.44/20.78 inference(rewrite,[status(thm)],[])).
% 20.44/20.78 tff(10009,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 20.44/20.78 inference(quant_inst,[status(thm)],[])).
% 20.44/20.78 tff(10010,plain,
% 20.44/20.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120))),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 20.53/20.78 tff(10011,plain,
% 20.53/20.78 (~node12(s120)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10010, 778, 10007])).
% 20.53/20.78 tff(10012,plain,
% 20.53/20.78 (((~![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)))),
% 20.53/20.78 inference(rewrite,[status(thm)],[])).
% 20.53/20.78 tff(10013,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 20.53/20.78 inference(quant_inst,[status(thm)],[])).
% 20.53/20.78 tff(10014,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120))),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 20.53/20.78 tff(10015,plain,
% 20.53/20.78 (~node11(s120)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10014, 361, 9911])).
% 20.53/20.78 tff(10016,plain,
% 20.53/20.78 (((~![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)))),
% 20.53/20.78 inference(rewrite,[status(thm)],[])).
% 20.53/20.78 tff(10017,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 20.53/20.78 inference(quant_inst,[status(thm)],[])).
% 20.53/20.78 tff(10018,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120))),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 20.53/20.78 tff(10019,plain,
% 20.53/20.78 (~node10(s120)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10018, 793, 9944])).
% 20.53/20.78 tff(10020,plain,
% 20.53/20.78 (((~![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)))),
% 20.53/20.78 inference(rewrite,[status(thm)],[])).
% 20.53/20.78 tff(10021,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 20.53/20.78 inference(quant_inst,[status(thm)],[])).
% 20.53/20.78 tff(10022,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120))),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 20.53/20.78 tff(10023,plain,
% 20.53/20.78 (~node9(s120)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10022, 804, 9911])).
% 20.53/20.78 tff(10024,plain,
% 20.53/20.78 (((~![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)))),
% 20.53/20.78 inference(rewrite,[status(thm)],[])).
% 20.53/20.78 tff(10025,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 20.53/20.78 inference(quant_inst,[status(thm)],[])).
% 20.53/20.78 tff(10026,plain,
% 20.53/20.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120))),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 20.53/20.78 tff(10027,plain,
% 20.53/20.78 (~node8(s120)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10026, 383, 9976])).
% 20.53/20.78 tff(10028,plain,
% 20.53/20.78 (((~![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))),
% 20.53/20.78 inference(rewrite,[status(thm)],[])).
% 20.53/20.78 tff(10029,plain,
% 20.53/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))),
% 20.53/20.78 inference(quant_inst,[status(thm)],[])).
% 20.53/20.78 tff(10030,plain,
% 20.53/20.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121)),
% 20.53/20.78 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 20.53/20.78 tff(10031,plain,
% 20.53/20.78 (node14(s120, s121)),
% 20.53/20.78 inference(unit_resolution,[status(thm)],[10030, 130, 9987])).
% 20.53/20.78 tff(10032,plain,
% 20.53/20.78 (((~![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(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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10033,plain,
% 20.53/20.79 (((~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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10034,plain,
% 20.53/20.79 (((~![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(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))))),
% 20.53/20.79 inference(monotonicity,[status(thm)],[10033])).
% 20.53/20.79 tff(10035,plain,
% 20.53/20.79 (((~![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(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)))),
% 20.53/20.79 inference(transitivity,[status(thm)],[10034, 10032])).
% 20.53/20.79 tff(10036,plain,
% 20.53/20.79 ((~![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(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10037,plain,
% 20.53/20.79 ((~![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(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 20.53/20.79 tff(10038,plain,
% 20.53/20.79 (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~m_main_v_state2(s120, c_c2))),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10037, 826, 10031])).
% 20.53/20.79 tff(10039,plain,
% 20.53/20.79 (m_main_v_state2(s121, c_n2)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10038, 10027, 9972, 10023, 10019, 10015, 10011])).
% 20.53/20.79 tff(10040,plain,
% 20.53/20.79 (((~![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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10041,plain,
% 20.53/20.79 ((~![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)))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10042,plain,
% 20.53/20.79 ((~![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))),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10041, 10040])).
% 20.53/20.79 tff(10043,plain,
% 20.53/20.79 (~m_main_v_state2(s121, c_t2)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10042, 10, 10039])).
% 20.53/20.79 tff(10044,plain,
% 20.53/20.79 (((~![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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10045,plain,
% 20.53/20.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10046,plain,
% 20.53/20.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121))),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10045, 10044])).
% 20.53/20.79 tff(10047,plain,
% 20.53/20.79 (~node15(s121)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10046, 21, 10043])).
% 20.53/20.79 tff(10048,plain,
% 20.53/20.79 (succ(s121, s122) <=> succ(s121, s122)),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10049,axiom,(succ(s121, s122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound122')).
% 20.53/20.79 tff(10050,plain,
% 20.53/20.79 (succ(s121, s122)),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 20.53/20.79 tff(10051,plain,
% 20.53/20.79 (((~![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))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10052,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10053,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 20.53/20.79 tff(10054,plain,
% 20.53/20.79 (trans(s121, s122)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10053, 10050, 57])).
% 20.53/20.79 tff(10055,plain,
% 20.53/20.79 (((~![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))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10056,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10057,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122)),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 20.53/20.79 tff(10058,plain,
% 20.53/20.79 (node18(s121, s122)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10057, 71, 10054])).
% 20.53/20.79 tff(10059,plain,
% 20.53/20.79 (((~![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(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))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10060,plain,
% 20.53/20.79 (((~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))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10061,plain,
% 20.53/20.79 (((~![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(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)))),
% 20.53/20.79 inference(monotonicity,[status(thm)],[10060])).
% 20.53/20.79 tff(10062,plain,
% 20.53/20.79 (((~![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(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))),
% 20.53/20.79 inference(transitivity,[status(thm)],[10061, 10059])).
% 20.53/20.79 tff(10063,plain,
% 20.53/20.79 ((~![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(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10064,plain,
% 20.53/20.79 ((~![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(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)),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10063, 10062])).
% 20.53/20.79 tff(10065,plain,
% 20.53/20.79 (node15(s121) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10064, 863, 10058])).
% 20.53/20.79 tff(10066,plain,
% 20.53/20.79 (m_main_v_turn(s122, c_1)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10065, 10047, 10039, 10003])).
% 20.53/20.79 tff(10067,plain,
% 20.53/20.79 (((~![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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10068,plain,
% 20.53/20.79 ((~![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)))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10069,plain,
% 20.53/20.79 ((~![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))),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10068, 10067])).
% 20.53/20.79 tff(10070,plain,
% 20.53/20.79 (~m_main_v_turn(s122, c_2)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10069, 322, 10066])).
% 20.53/20.79 tff(10071,plain,
% 20.53/20.79 (((~![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)))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10072,plain,
% 20.53/20.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10073,plain,
% 20.53/20.79 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122))),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 20.53/20.79 tff(10074,plain,
% 20.53/20.79 (~node12(s122)),
% 20.53/20.79 inference(unit_resolution,[status(thm)],[10073, 350, 10070])).
% 20.53/20.79 tff(10075,plain,
% 20.53/20.79 (((~![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))),
% 20.53/20.79 inference(rewrite,[status(thm)],[])).
% 20.53/20.79 tff(10076,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))),
% 20.53/20.79 inference(quant_inst,[status(thm)],[])).
% 20.53/20.79 tff(10077,plain,
% 20.53/20.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122)),
% 20.53/20.79 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 20.54/20.80 tff(10078,plain,
% 20.54/20.80 (node14(s121, s122)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10077, 130, 10054])).
% 20.54/20.80 tff(10079,plain,
% 20.54/20.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~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))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10080,plain,
% 20.54/20.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10081,plain,
% 20.54/20.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2)),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 20.54/20.80 tff(10082,plain,
% 20.54/20.80 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state2(s122, c_t2)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10081, 893, 10078])).
% 20.54/20.80 tff(10083,plain,
% 20.54/20.80 (m_main_v_state2(s122, c_t2)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10082, 10003, 10039])).
% 20.54/20.80 tff(10084,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10085,plain,
% 20.54/20.80 ((~![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)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10086,plain,
% 20.54/20.80 ((~![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))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 20.54/20.80 tff(10087,plain,
% 20.54/20.80 (~m_main_v_state2(s122, c_n2)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10086, 10, 10083])).
% 20.54/20.80 tff(10088,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10089,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10090,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 20.54/20.80 tff(10091,plain,
% 20.54/20.80 (~node8(s122)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10090, 383, 10087])).
% 20.54/20.80 tff(10092,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10093,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10094,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10093, 10092])).
% 20.54/20.80 tff(10095,plain,
% 20.54/20.80 (~node9(s122)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10094, 311, 10087])).
% 20.54/20.80 tff(10096,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10097,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10098,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 20.54/20.80 tff(10099,plain,
% 20.54/20.80 (~node10(s122)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10098, 372, 10087])).
% 20.54/20.80 tff(10100,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10101,plain,
% 20.54/20.80 ((~![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)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10102,plain,
% 20.54/20.80 ((~![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))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10101, 10100])).
% 20.54/20.80 tff(10103,plain,
% 20.54/20.80 (~m_main_v_state2(s122, c_c2)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10102, 173, 10083])).
% 20.54/20.80 tff(10104,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10105,plain,
% 20.54/20.80 ((~![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)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10106,plain,
% 20.54/20.80 ((~![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))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10105, 10104])).
% 20.54/20.80 tff(10107,plain,
% 20.54/20.80 (~m_main_v_state2(s121, c_c2)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10106, 716, 10039])).
% 20.54/20.80 tff(10108,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10109,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10110,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 20.54/20.80 tff(10111,plain,
% 20.54/20.80 (~node3(s121)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10110, 184, 10107])).
% 20.54/20.80 tff(10112,plain,
% 20.54/20.80 (((~![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(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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10113,plain,
% 20.54/20.80 (((~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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10114,plain,
% 20.54/20.80 (((~![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))))),
% 20.54/20.80 inference(monotonicity,[status(thm)],[10113])).
% 20.54/20.80 tff(10115,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(transitivity,[status(thm)],[10114, 10112])).
% 20.54/20.80 tff(10116,plain,
% 20.54/20.80 ((~![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)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10117,plain,
% 20.54/20.80 ((~![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(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 20.54/20.80 tff(10118,plain,
% 20.54/20.80 (~m_main_v_state1(s121, c_n1)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10117, 936, 9911, 9996])).
% 20.54/20.80 tff(10119,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10120,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10121,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10120, 10119])).
% 20.54/20.80 tff(10122,plain,
% 20.54/20.80 (~node2(s121)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10121, 652, 10118])).
% 20.54/20.80 tff(10123,plain,
% 20.54/20.80 (((~![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)))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10124,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10125,plain,
% 20.54/20.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121))),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10124, 10123])).
% 20.54/20.80 tff(10126,plain,
% 20.54/20.80 (~node1(s121)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10125, 206, 10043])).
% 20.54/20.80 tff(10127,plain,
% 20.54/20.80 (((~![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))),
% 20.54/20.80 inference(rewrite,[status(thm)],[])).
% 20.54/20.80 tff(10128,plain,
% 20.54/20.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))),
% 20.54/20.80 inference(quant_inst,[status(thm)],[])).
% 20.54/20.80 tff(10129,plain,
% 20.54/20.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122)),
% 20.54/20.80 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 20.54/20.80 tff(10130,plain,
% 20.54/20.80 (node7(s121, s122)),
% 20.54/20.80 inference(unit_resolution,[status(thm)],[10129, 217, 10054])).
% 20.54/20.80 tff(10131,plain,
% 20.54/20.80 (((~![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(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)))),
% 20.54/20.81 inference(rewrite,[status(thm)],[])).
% 20.54/20.81 tff(10132,plain,
% 20.54/20.81 (((~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)))),
% 20.54/20.81 inference(rewrite,[status(thm)],[])).
% 20.54/20.81 tff(10133,plain,
% 20.54/20.81 (((~![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(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))))),
% 20.54/20.81 inference(monotonicity,[status(thm)],[10132])).
% 20.54/20.81 tff(10134,plain,
% 20.54/20.81 (((~![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(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)))),
% 20.54/20.81 inference(transitivity,[status(thm)],[10133, 10131])).
% 20.54/20.81 tff(10135,plain,
% 20.54/20.81 ((~![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(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))),
% 20.54/20.81 inference(quant_inst,[status(thm)],[])).
% 20.54/20.81 tff(10136,plain,
% 20.54/20.81 ((~![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(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))),
% 20.54/20.81 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 20.54/20.81 tff(10137,plain,
% 20.54/20.81 ((~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)),
% 20.54/20.81 inference(unit_resolution,[status(thm)],[10136, 965, 10130])).
% 20.54/20.81 tff(10138,plain,
% 20.54/20.81 (m_main_v_state1(s122, c_c1)),
% 20.54/20.81 inference(unit_resolution,[status(thm)],[10137, 10126, 10039, 10003, 10122, 10111])).
% 20.54/20.81 tff(10139,plain,
% 20.54/20.81 (((~![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)))),
% 20.54/20.81 inference(rewrite,[status(thm)],[])).
% 20.54/20.81 tff(10140,plain,
% 20.54/20.81 ((~![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)))),
% 20.54/20.81 inference(quant_inst,[status(thm)],[])).
% 20.54/20.81 tff(10141,plain,
% 20.54/20.81 ((~![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))),
% 20.54/20.81 inference(modus_ponens,[status(thm)],[10140, 10139])).
% 20.54/20.81 tff(10142,plain,
% 20.54/20.81 (~m_main_v_state1(s122, c_n1)),
% 20.54/20.81 inference(unit_resolution,[status(thm)],[10141, 449, 10138])).
% 20.55/20.81 tff(10143,plain,
% 20.55/20.81 (((~![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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10144,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10145,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122))),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 20.55/20.81 tff(10146,plain,
% 20.55/20.81 (~node11(s122)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10145, 361, 10142])).
% 20.55/20.81 tff(10147,plain,
% 20.55/20.81 (succ(s122, s123) <=> succ(s122, s123)),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10148,axiom,(succ(s122, s123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound123')).
% 20.55/20.81 tff(10149,plain,
% 20.55/20.81 (succ(s122, s123)),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10148, 10147])).
% 20.55/20.81 tff(10150,plain,
% 20.55/20.81 (((~![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))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10151,plain,
% 20.55/20.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10152,plain,
% 20.55/20.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 20.55/20.81 tff(10153,plain,
% 20.55/20.81 (trans(s122, s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10152, 10149, 57])).
% 20.55/20.81 tff(10154,plain,
% 20.55/20.81 (((~![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))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10155,plain,
% 20.55/20.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10156,plain,
% 20.55/20.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123)),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10155, 10154])).
% 20.55/20.81 tff(10157,plain,
% 20.55/20.81 (node14(s122, s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10156, 130, 10153])).
% 20.55/20.81 tff(10158,plain,
% 20.55/20.81 (((~![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(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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10159,plain,
% 20.55/20.81 ((~![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(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10160,plain,
% 20.55/20.81 ((~![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(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123))),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10159, 10158])).
% 20.55/20.81 tff(10161,plain,
% 20.55/20.81 (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10160, 401, 10157])).
% 20.55/20.81 tff(10162,plain,
% 20.55/20.81 (node13(s122, s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10161, 10146, 10103, 10099, 10095, 10091, 10074])).
% 20.55/20.81 tff(10163,plain,
% 20.55/20.81 (((~![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(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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10164,plain,
% 20.55/20.81 (((~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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10165,plain,
% 20.55/20.81 (((~![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))))),
% 20.55/20.81 inference(monotonicity,[status(thm)],[10164])).
% 20.55/20.81 tff(10166,plain,
% 20.55/20.81 (((~![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)))),
% 20.55/20.81 inference(transitivity,[status(thm)],[10165, 10163])).
% 20.55/20.81 tff(10167,plain,
% 20.55/20.81 ((~![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)))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10168,plain,
% 20.55/20.81 ((~![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(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 20.55/20.81 tff(10169,plain,
% 20.55/20.81 (~m_main_v_state2(s123, c_n2)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10168, 416, 10087, 10162])).
% 20.55/20.81 tff(10170,plain,
% 20.55/20.81 (((~![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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10171,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10172,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123))),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 20.55/20.81 tff(10173,plain,
% 20.55/20.81 (~node9(s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10172, 311, 10169])).
% 20.55/20.81 tff(10174,plain,
% 20.55/20.81 (((~![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)))),
% 20.55/20.81 inference(rewrite,[status(thm)],[])).
% 20.55/20.81 tff(10175,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 20.55/20.81 inference(quant_inst,[status(thm)],[])).
% 20.55/20.81 tff(10176,plain,
% 20.55/20.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123))),
% 20.55/20.81 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 20.55/20.81 tff(10177,plain,
% 20.55/20.81 (~node10(s123)),
% 20.55/20.81 inference(unit_resolution,[status(thm)],[10176, 372, 10169])).
% 20.55/20.81 tff(10178,plain,
% 20.55/20.81 (((~![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(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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10179,plain,
% 20.55/20.82 (((~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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10180,plain,
% 20.55/20.82 (((~![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))))),
% 20.55/20.82 inference(monotonicity,[status(thm)],[10179])).
% 20.55/20.82 tff(10181,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(transitivity,[status(thm)],[10180, 10178])).
% 20.55/20.82 tff(10182,plain,
% 20.55/20.82 ((~![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))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10183,plain,
% 20.55/20.82 ((~![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(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 20.55/20.82 tff(10184,plain,
% 20.55/20.82 (m_main_v_state2(s123, c_t2)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10183, 563, 10083, 10162])).
% 20.55/20.82 tff(10185,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10186,plain,
% 20.55/20.82 ((~![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)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10187,plain,
% 20.55/20.82 ((~![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))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10186, 10185])).
% 20.55/20.82 tff(10188,plain,
% 20.55/20.82 (~m_main_v_state1(s122, c_t1)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10187, 289, 10138])).
% 20.55/20.82 tff(10189,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10190,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10191,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 20.55/20.82 tff(10192,plain,
% 20.55/20.82 (~node5(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10191, 300, 10188])).
% 20.55/20.82 tff(10193,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10194,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10195,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 20.55/20.82 tff(10196,plain,
% 20.55/20.82 (~node4(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10195, 162, 10087])).
% 20.55/20.82 tff(10197,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10198,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10199,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10198, 10197])).
% 20.55/20.82 tff(10200,plain,
% 20.55/20.82 (~node3(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10199, 184, 10103])).
% 20.55/20.82 tff(10201,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10202,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10203,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 20.55/20.82 tff(10204,plain,
% 20.55/20.82 (~node2(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10203, 195, 10087])).
% 20.55/20.82 tff(10205,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10206,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10207,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 20.55/20.82 tff(10208,plain,
% 20.55/20.82 (~node1(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10207, 249, 10142])).
% 20.55/20.82 tff(10209,plain,
% 20.55/20.82 (((~![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))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10210,plain,
% 20.55/20.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10211,plain,
% 20.55/20.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123)),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10210, 10209])).
% 20.55/20.82 tff(10212,plain,
% 20.55/20.82 (node7(s122, s123)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10211, 217, 10153])).
% 20.55/20.82 tff(10213,plain,
% 20.55/20.82 (((~![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(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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10214,plain,
% 20.55/20.82 (((~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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10215,plain,
% 20.55/20.82 (((~![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(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))))),
% 20.55/20.82 inference(monotonicity,[status(thm)],[10214])).
% 20.55/20.82 tff(10216,plain,
% 20.55/20.82 (((~![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(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)))),
% 20.55/20.82 inference(transitivity,[status(thm)],[10215, 10213])).
% 20.55/20.82 tff(10217,plain,
% 20.55/20.82 ((~![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(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10218,plain,
% 20.55/20.82 ((~![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(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 20.55/20.82 tff(10219,plain,
% 20.55/20.82 (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10218, 478, 10212])).
% 20.55/20.82 tff(10220,plain,
% 20.55/20.82 (m_main_v_state1(s123, c_n1)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10219, 10208, 10138, 10204, 10200, 10196, 10192])).
% 20.55/20.82 tff(10221,plain,
% 20.55/20.82 (((~![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)))),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10222,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 20.55/20.82 inference(quant_inst,[status(thm)],[])).
% 20.55/20.82 tff(10223,plain,
% 20.55/20.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123))),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 20.55/20.82 tff(10224,plain,
% 20.55/20.82 (~node8(s123)),
% 20.55/20.82 inference(unit_resolution,[status(thm)],[10223, 383, 10169])).
% 20.55/20.82 tff(10225,plain,
% 20.55/20.82 (succ(s123, s124) <=> succ(s123, s124)),
% 20.55/20.82 inference(rewrite,[status(thm)],[])).
% 20.55/20.82 tff(10226,axiom,(succ(s123, s124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound124')).
% 20.55/20.82 tff(10227,plain,
% 20.55/20.82 (succ(s123, s124)),
% 20.55/20.82 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 20.55/20.82 tff(10228,plain,
% 20.55/20.82 (((~![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))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10229,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10230,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10229, 10228])).
% 20.55/20.83 tff(10231,plain,
% 20.55/20.83 (trans(s123, s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10230, 10227, 57])).
% 20.55/20.83 tff(10232,plain,
% 20.55/20.83 (((~![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))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10233,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10234,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124)),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10233, 10232])).
% 20.55/20.83 tff(10235,plain,
% 20.55/20.83 (node14(s123, s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10234, 130, 10231])).
% 20.55/20.83 tff(10236,plain,
% 20.55/20.83 (((~![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(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))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10237,plain,
% 20.55/20.83 ((~![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(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))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10238,plain,
% 20.55/20.83 ((~![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(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)),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 20.55/20.83 tff(10239,plain,
% 20.55/20.83 ((~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)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10238, 704, 10235])).
% 20.55/20.83 tff(10240,plain,
% 20.55/20.83 (m_main_v_state2(s124, c_c2)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10239, 10224, 10220, 10184, 10177, 10173])).
% 20.55/20.83 tff(10241,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10242,plain,
% 20.55/20.83 ((~![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)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10243,plain,
% 20.55/20.83 ((~![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))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 20.55/20.83 tff(10244,plain,
% 20.55/20.83 (~m_main_v_state2(s124, c_t2)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10243, 173, 10240])).
% 20.55/20.83 tff(10245,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10246,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10247,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 20.55/20.83 tff(10248,plain,
% 20.55/20.83 (~node12(s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10247, 778, 10244])).
% 20.55/20.83 tff(10249,plain,
% 20.55/20.83 (((~![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))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10250,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10251,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124)),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 20.55/20.83 tff(10252,plain,
% 20.55/20.83 (node7(s123, s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10251, 217, 10231])).
% 20.55/20.83 tff(10253,plain,
% 20.55/20.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10254,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10255,plain,
% 20.55/20.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1)),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 20.55/20.83 tff(10256,plain,
% 20.55/20.83 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_state1(s124, c_t1)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10255, 598, 10252])).
% 20.55/20.83 tff(10257,plain,
% 20.55/20.83 (m_main_v_state1(s124, c_t1)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10256, 10184, 10220])).
% 20.55/20.83 tff(10258,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10259,plain,
% 20.55/20.83 ((~![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)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10260,plain,
% 20.55/20.83 ((~![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))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 20.55/20.83 tff(10261,plain,
% 20.55/20.83 (~m_main_v_state1(s124, c_n1)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10260, 35, 10257])).
% 20.55/20.83 tff(10262,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10263,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10264,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 20.55/20.83 tff(10265,plain,
% 20.55/20.83 (~node11(s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10264, 361, 10261])).
% 20.55/20.83 tff(10266,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10267,plain,
% 20.55/20.83 ((~![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)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10268,plain,
% 20.55/20.83 ((~![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))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10267, 10266])).
% 20.55/20.83 tff(10269,plain,
% 20.55/20.83 (~m_main_v_state1(s124, c_c1)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10268, 289, 10257])).
% 20.55/20.83 tff(10270,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10271,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10272,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10271, 10270])).
% 20.55/20.83 tff(10273,plain,
% 20.55/20.83 (~node10(s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10272, 793, 10269])).
% 20.55/20.83 tff(10274,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10275,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10276,plain,
% 20.55/20.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10275, 10274])).
% 20.55/20.83 tff(10277,plain,
% 20.55/20.83 (~node9(s124)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10276, 804, 10261])).
% 20.55/20.83 tff(10278,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.83 tff(10279,plain,
% 20.55/20.83 ((~![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)))),
% 20.55/20.83 inference(quant_inst,[status(thm)],[])).
% 20.55/20.83 tff(10280,plain,
% 20.55/20.83 ((~![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))),
% 20.55/20.83 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 20.55/20.83 tff(10281,plain,
% 20.55/20.83 (~m_main_v_state2(s124, c_n2)),
% 20.55/20.83 inference(unit_resolution,[status(thm)],[10280, 716, 10240])).
% 20.55/20.83 tff(10282,plain,
% 20.55/20.83 (((~![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)))),
% 20.55/20.83 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10283,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10284,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 20.55/20.84 tff(10285,plain,
% 20.55/20.84 (~node8(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10284, 383, 10281])).
% 20.55/20.84 tff(10286,plain,
% 20.55/20.84 (succ(s124, s125) <=> succ(s124, s125)),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10287,axiom,(succ(s124, s125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound125')).
% 20.55/20.84 tff(10288,plain,
% 20.55/20.84 (succ(s124, s125)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 20.55/20.84 tff(10289,plain,
% 20.55/20.84 (((~![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))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10290,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10291,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10290, 10289])).
% 20.55/20.84 tff(10292,plain,
% 20.55/20.84 (trans(s124, s125)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10291, 10288, 57])).
% 20.55/20.84 tff(10293,plain,
% 20.55/20.84 (((~![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))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10294,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10295,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 20.55/20.84 tff(10296,plain,
% 20.55/20.84 (node14(s124, s125)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10295, 130, 10292])).
% 20.55/20.84 tff(10297,plain,
% 20.55/20.84 (((~![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(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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10298,plain,
% 20.55/20.84 (((~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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10299,plain,
% 20.55/20.84 (((~![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(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))))),
% 20.55/20.84 inference(monotonicity,[status(thm)],[10298])).
% 20.55/20.84 tff(10300,plain,
% 20.55/20.84 (((~![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(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)))),
% 20.55/20.84 inference(transitivity,[status(thm)],[10299, 10297])).
% 20.55/20.84 tff(10301,plain,
% 20.55/20.84 ((~![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(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10302,plain,
% 20.55/20.84 ((~![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(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10301, 10300])).
% 20.55/20.84 tff(10303,plain,
% 20.55/20.84 (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~m_main_v_state2(s124, c_c2))),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10302, 826, 10296])).
% 20.55/20.84 tff(10304,plain,
% 20.55/20.84 (m_main_v_state2(s125, c_n2)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10303, 10285, 10240, 10277, 10273, 10265, 10248])).
% 20.55/20.84 tff(10305,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10306,plain,
% 20.55/20.84 ((~![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)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10307,plain,
% 20.55/20.84 ((~![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))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10306, 10305])).
% 20.55/20.84 tff(10308,plain,
% 20.55/20.84 (~m_main_v_state2(s125, c_c2)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10307, 716, 10304])).
% 20.55/20.84 tff(10309,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10310,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10311,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 20.55/20.84 tff(10312,plain,
% 20.55/20.84 (~node3(s125)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10311, 184, 10308])).
% 20.55/20.84 tff(10313,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10314,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10315,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 20.55/20.84 tff(10316,plain,
% 20.55/20.84 (~node1(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10315, 249, 10261])).
% 20.55/20.84 tff(10317,plain,
% 20.55/20.84 (((~![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))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10318,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10319,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 20.55/20.84 tff(10320,plain,
% 20.55/20.84 (node18(s123, s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10319, 71, 10231])).
% 20.55/20.84 tff(10321,plain,
% 20.55/20.84 (((~![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(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))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10322,plain,
% 20.55/20.84 ((~![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(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10323,plain,
% 20.55/20.84 ((~![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(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 20.55/20.84 tff(10324,plain,
% 20.55/20.84 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_turn(s124, c_2)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10323, 625, 10320])).
% 20.55/20.84 tff(10325,plain,
% 20.55/20.84 (m_main_v_turn(s124, c_2)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10324, 10184, 10220])).
% 20.55/20.84 tff(10326,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10327,plain,
% 20.55/20.84 ((~![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)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10328,plain,
% 20.55/20.84 ((~![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))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 20.55/20.84 tff(10329,plain,
% 20.55/20.84 (~m_main_v_turn(s124, c_1)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10328, 322, 10325])).
% 20.55/20.84 tff(10330,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10331,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10332,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 20.55/20.84 tff(10333,plain,
% 20.55/20.84 (~node5(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10332, 641, 10329])).
% 20.55/20.84 tff(10334,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10335,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10336,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 20.55/20.84 tff(10337,plain,
% 20.55/20.84 (~node2(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10336, 652, 10261])).
% 20.55/20.84 tff(10338,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10339,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10340,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 20.55/20.84 tff(10341,plain,
% 20.55/20.84 (~node3(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10340, 663, 10261])).
% 20.55/20.84 tff(10342,plain,
% 20.55/20.84 (((~![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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10343,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10344,plain,
% 20.55/20.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 20.55/20.84 tff(10345,plain,
% 20.55/20.84 (~node4(s124)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10344, 162, 10281])).
% 20.55/20.84 tff(10346,plain,
% 20.55/20.84 (((~![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))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10347,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10348,plain,
% 20.55/20.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125)),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10347, 10346])).
% 20.55/20.84 tff(10349,plain,
% 20.55/20.84 (node7(s124, s125)),
% 20.55/20.84 inference(unit_resolution,[status(thm)],[10348, 217, 10292])).
% 20.55/20.84 tff(10350,plain,
% 20.55/20.84 (((~![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(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)))),
% 20.55/20.84 inference(rewrite,[status(thm)],[])).
% 20.55/20.84 tff(10351,plain,
% 20.55/20.84 ((~![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(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 20.55/20.84 inference(quant_inst,[status(thm)],[])).
% 20.55/20.84 tff(10352,plain,
% 20.55/20.84 ((~![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(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125))),
% 20.55/20.84 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 20.55/20.84 tff(10353,plain,
% 20.55/20.85 (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10352, 745, 10349])).
% 20.55/20.85 tff(10354,plain,
% 20.55/20.85 (node6(s124, s125)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10353, 10345, 10269, 10341, 10337, 10333, 10316])).
% 20.55/20.85 tff(10355,plain,
% 20.55/20.85 (((~![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(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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10356,plain,
% 20.55/20.85 (((~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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10357,plain,
% 20.55/20.85 (((~![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))))),
% 20.55/20.85 inference(monotonicity,[status(thm)],[10356])).
% 20.55/20.85 tff(10358,plain,
% 20.55/20.85 (((~![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)))),
% 20.55/20.85 inference(transitivity,[status(thm)],[10357, 10355])).
% 20.55/20.85 tff(10359,plain,
% 20.55/20.85 ((~![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)))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10360,plain,
% 20.55/20.85 ((~![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(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 20.55/20.85 tff(10361,plain,
% 20.55/20.85 (~m_main_v_state1(s125, c_n1)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10360, 936, 10261, 10354])).
% 20.55/20.85 tff(10362,plain,
% 20.55/20.85 (((~![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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10363,plain,
% 20.55/20.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10364,plain,
% 20.55/20.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 20.55/20.85 tff(10365,plain,
% 20.55/20.85 (~node2(s125)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10364, 652, 10361])).
% 20.55/20.85 tff(10366,plain,
% 20.55/20.85 (((~![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(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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10367,plain,
% 20.55/20.85 (((~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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10368,plain,
% 20.55/20.85 (((~![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))))),
% 20.55/20.85 inference(monotonicity,[status(thm)],[10367])).
% 20.55/20.85 tff(10369,plain,
% 20.55/20.85 (((~![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)))),
% 20.55/20.85 inference(transitivity,[status(thm)],[10368, 10366])).
% 20.55/20.85 tff(10370,plain,
% 20.55/20.85 ((~![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))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10371,plain,
% 20.55/20.85 ((~![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(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 20.55/20.85 tff(10372,plain,
% 20.55/20.85 (m_main_v_state1(s125, c_t1)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10371, 760, 10257, 10354])).
% 20.55/20.85 tff(10373,plain,
% 20.55/20.85 (((~![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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10374,plain,
% 20.55/20.85 ((~![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)))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10375,plain,
% 20.55/20.85 ((~![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))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 20.55/20.85 tff(10376,plain,
% 20.55/20.85 (~m_main_v_state2(s125, c_t2)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10375, 10, 10304])).
% 20.55/20.85 tff(10377,plain,
% 20.55/20.85 (((~![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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10378,plain,
% 20.55/20.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10379,plain,
% 20.55/20.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10378, 10377])).
% 20.55/20.85 tff(10380,plain,
% 20.55/20.85 (~node1(s125)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10379, 206, 10376])).
% 20.55/20.85 tff(10381,plain,
% 20.55/20.85 (succ(s125, s126) <=> succ(s125, s126)),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10382,axiom,(succ(s125, s126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound126')).
% 20.55/20.85 tff(10383,plain,
% 20.55/20.85 (succ(s125, s126)),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 20.55/20.85 tff(10384,plain,
% 20.55/20.85 (((~![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))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10385,plain,
% 20.55/20.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10386,plain,
% 20.55/20.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 20.55/20.85 tff(10387,plain,
% 20.55/20.85 (trans(s125, s126)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10386, 10383, 57])).
% 20.55/20.85 tff(10388,plain,
% 20.55/20.85 (((~![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))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10389,plain,
% 20.55/20.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10390,plain,
% 20.55/20.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126)),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 20.55/20.85 tff(10391,plain,
% 20.55/20.85 (node7(s125, s126)),
% 20.55/20.85 inference(unit_resolution,[status(thm)],[10390, 217, 10387])).
% 20.55/20.85 tff(10392,plain,
% 20.55/20.85 (((~![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(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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10393,plain,
% 20.55/20.85 (((~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)))),
% 20.55/20.85 inference(rewrite,[status(thm)],[])).
% 20.55/20.85 tff(10394,plain,
% 20.55/20.85 (((~![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(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))))),
% 20.55/20.85 inference(monotonicity,[status(thm)],[10393])).
% 20.55/20.85 tff(10395,plain,
% 20.55/20.85 (((~![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(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)))),
% 20.55/20.85 inference(transitivity,[status(thm)],[10394, 10392])).
% 20.55/20.85 tff(10396,plain,
% 20.55/20.85 ((~![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(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))),
% 20.55/20.85 inference(quant_inst,[status(thm)],[])).
% 20.55/20.85 tff(10397,plain,
% 20.55/20.85 ((~![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(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))),
% 20.55/20.85 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 20.55/20.86 tff(10398,plain,
% 20.55/20.86 ((~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)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10397, 965, 10391])).
% 20.55/20.86 tff(10399,plain,
% 20.55/20.86 (m_main_v_state1(s126, c_c1)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10398, 10380, 10304, 10372, 10365, 10312])).
% 20.55/20.86 tff(10400,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10401,plain,
% 20.55/20.86 ((~![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)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10402,plain,
% 20.55/20.86 ((~![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))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 20.55/20.86 tff(10403,plain,
% 20.55/20.86 (~m_main_v_state1(s126, c_t1)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10402, 289, 10399])).
% 20.55/20.86 tff(10404,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10405,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10406,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10405, 10404])).
% 20.55/20.86 tff(10407,plain,
% 20.55/20.86 (~node5(s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10406, 300, 10403])).
% 20.55/20.86 tff(10408,plain,
% 20.55/20.86 (((~![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))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10409,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10410,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126)),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 20.55/20.86 tff(10411,plain,
% 20.55/20.86 (node14(s125, s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10410, 130, 10387])).
% 20.55/20.86 tff(10412,plain,
% 20.55/20.86 (((~![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(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))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10413,plain,
% 20.55/20.86 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10414,plain,
% 20.55/20.86 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2)),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10413, 10412])).
% 20.55/20.86 tff(10415,plain,
% 20.55/20.86 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state2(s126, c_t2)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10414, 893, 10411])).
% 20.55/20.86 tff(10416,plain,
% 20.55/20.86 (m_main_v_state2(s126, c_t2)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10415, 10372, 10304])).
% 20.55/20.86 tff(10417,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10418,plain,
% 20.55/20.86 ((~![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)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10419,plain,
% 20.55/20.86 ((~![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))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10418, 10417])).
% 20.55/20.86 tff(10420,plain,
% 20.55/20.86 (~m_main_v_state2(s126, c_n2)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10419, 10, 10416])).
% 20.55/20.86 tff(10421,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10422,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10423,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 20.55/20.86 tff(10424,plain,
% 20.55/20.86 (~node4(s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10423, 162, 10420])).
% 20.55/20.86 tff(10425,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10426,plain,
% 20.55/20.86 ((~![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)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10427,plain,
% 20.55/20.86 ((~![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))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 20.55/20.86 tff(10428,plain,
% 20.55/20.86 (~m_main_v_state2(s126, c_c2)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10427, 173, 10416])).
% 20.55/20.86 tff(10429,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10430,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10431,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 20.55/20.86 tff(10432,plain,
% 20.55/20.86 (~node3(s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10431, 184, 10428])).
% 20.55/20.86 tff(10433,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10434,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10435,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 20.55/20.86 tff(10436,plain,
% 20.55/20.86 (~node2(s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10435, 195, 10420])).
% 20.55/20.86 tff(10437,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10438,plain,
% 20.55/20.86 ((~![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)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10439,plain,
% 20.55/20.86 ((~![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))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10438, 10437])).
% 20.55/20.86 tff(10440,plain,
% 20.55/20.86 (~m_main_v_state1(s126, c_n1)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10439, 449, 10399])).
% 20.55/20.86 tff(10441,plain,
% 20.55/20.86 (((~![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)))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10442,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10443,plain,
% 20.55/20.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126))),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 20.55/20.86 tff(10444,plain,
% 20.55/20.86 (~node1(s126)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10443, 249, 10440])).
% 20.55/20.86 tff(10445,plain,
% 20.55/20.86 (succ(s126, s127) <=> succ(s126, s127)),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10446,axiom,(succ(s126, s127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound127')).
% 20.55/20.86 tff(10447,plain,
% 20.55/20.86 (succ(s126, s127)),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 20.55/20.86 tff(10448,plain,
% 20.55/20.86 (((~![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))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10449,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10450,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10449, 10448])).
% 20.55/20.86 tff(10451,plain,
% 20.55/20.86 (trans(s126, s127)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10450, 10447, 57])).
% 20.55/20.86 tff(10452,plain,
% 20.55/20.86 (((~![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))),
% 20.55/20.86 inference(rewrite,[status(thm)],[])).
% 20.55/20.86 tff(10453,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))),
% 20.55/20.86 inference(quant_inst,[status(thm)],[])).
% 20.55/20.86 tff(10454,plain,
% 20.55/20.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127)),
% 20.55/20.86 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 20.55/20.86 tff(10455,plain,
% 20.55/20.86 (node7(s126, s127)),
% 20.55/20.86 inference(unit_resolution,[status(thm)],[10454, 217, 10451])).
% 20.55/20.86 tff(10456,plain,
% 20.55/20.86 (((~![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(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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10457,plain,
% 20.55/20.87 (((~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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10458,plain,
% 20.55/20.87 (((~![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(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))))),
% 20.55/20.87 inference(monotonicity,[status(thm)],[10457])).
% 20.55/20.87 tff(10459,plain,
% 20.55/20.87 (((~![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(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)))),
% 20.55/20.87 inference(transitivity,[status(thm)],[10458, 10456])).
% 20.55/20.87 tff(10460,plain,
% 20.55/20.87 ((~![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(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10461,plain,
% 20.55/20.87 ((~![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(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 20.55/20.87 tff(10462,plain,
% 20.55/20.87 (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10461, 478, 10455])).
% 20.55/20.87 tff(10463,plain,
% 20.55/20.87 (m_main_v_state1(s127, c_n1)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10462, 10444, 10399, 10436, 10432, 10424, 10407])).
% 20.55/20.87 tff(10464,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10465,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10466,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 20.55/20.87 tff(10467,plain,
% 20.55/20.87 (~node15(s125)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10466, 21, 10376])).
% 20.55/20.87 tff(10468,plain,
% 20.55/20.87 (((~![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))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10469,plain,
% 20.55/20.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10470,plain,
% 20.55/20.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126)),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 20.55/20.87 tff(10471,plain,
% 20.55/20.87 (node18(s125, s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10470, 71, 10387])).
% 20.55/20.87 tff(10472,plain,
% 20.55/20.87 (((~![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(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))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10473,plain,
% 20.55/20.87 (((~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))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10474,plain,
% 20.55/20.87 (((~![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(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)))),
% 20.55/20.87 inference(monotonicity,[status(thm)],[10473])).
% 20.55/20.87 tff(10475,plain,
% 20.55/20.87 (((~![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(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))),
% 20.55/20.87 inference(transitivity,[status(thm)],[10474, 10472])).
% 20.55/20.87 tff(10476,plain,
% 20.55/20.87 ((~![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(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10477,plain,
% 20.55/20.87 ((~![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(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)),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10476, 10475])).
% 20.55/20.87 tff(10478,plain,
% 20.55/20.87 (node15(s125) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10477, 863, 10471])).
% 20.55/20.87 tff(10479,plain,
% 20.55/20.87 (m_main_v_turn(s126, c_1)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10478, 10467, 10304, 10372])).
% 20.55/20.87 tff(10480,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10481,plain,
% 20.55/20.87 ((~![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)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10482,plain,
% 20.55/20.87 ((~![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))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 20.55/20.87 tff(10483,plain,
% 20.55/20.87 (~m_main_v_turn(s126, c_2)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10482, 322, 10479])).
% 20.55/20.87 tff(10484,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10485,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10486,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10485, 10484])).
% 20.55/20.87 tff(10487,plain,
% 20.55/20.87 (~node12(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10486, 350, 10483])).
% 20.55/20.87 tff(10488,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10489,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10490,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 20.55/20.87 tff(10491,plain,
% 20.55/20.87 (~node8(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10490, 383, 10420])).
% 20.55/20.87 tff(10492,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10493,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10494,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10493, 10492])).
% 20.55/20.87 tff(10495,plain,
% 20.55/20.87 (~node9(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10494, 311, 10420])).
% 20.55/20.87 tff(10496,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10497,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10498,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 20.55/20.87 tff(10499,plain,
% 20.55/20.87 (~node10(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10498, 372, 10420])).
% 20.55/20.87 tff(10500,plain,
% 20.55/20.87 (((~![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)))),
% 20.55/20.87 inference(rewrite,[status(thm)],[])).
% 20.55/20.87 tff(10501,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 20.55/20.87 inference(quant_inst,[status(thm)],[])).
% 20.55/20.87 tff(10502,plain,
% 20.55/20.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126))),
% 20.55/20.87 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 20.55/20.87 tff(10503,plain,
% 20.55/20.87 (~node11(s126)),
% 20.55/20.87 inference(unit_resolution,[status(thm)],[10502, 361, 10440])).
% 20.55/20.88 tff(10504,plain,
% 20.55/20.88 (((~![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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10505,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10506,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 20.55/20.88 tff(10507,plain,
% 20.55/20.88 (node14(s126, s127)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10506, 130, 10451])).
% 20.55/20.88 tff(10508,plain,
% 20.55/20.88 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10509,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10510,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127))),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 20.55/20.88 tff(10511,plain,
% 20.55/20.88 (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10510, 401, 10507])).
% 20.55/20.88 tff(10512,plain,
% 20.55/20.88 (node13(s126, s127)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10511, 10503, 10428, 10499, 10495, 10491, 10487])).
% 20.55/20.88 tff(10513,plain,
% 20.55/20.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10514,plain,
% 20.55/20.88 (((~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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10515,plain,
% 20.55/20.88 (((~![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))))),
% 20.55/20.88 inference(monotonicity,[status(thm)],[10514])).
% 20.55/20.88 tff(10516,plain,
% 20.55/20.88 (((~![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)))),
% 20.55/20.88 inference(transitivity,[status(thm)],[10515, 10513])).
% 20.55/20.88 tff(10517,plain,
% 20.55/20.88 ((~![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))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10518,plain,
% 20.55/20.88 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10517, 10516])).
% 20.55/20.88 tff(10519,plain,
% 20.55/20.88 (m_main_v_state2(s127, c_t2)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10518, 563, 10416, 10512])).
% 20.55/20.88 tff(10520,plain,
% 20.55/20.88 (succ(s127, s128) <=> succ(s127, s128)),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10521,axiom,(succ(s127, s128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound128')).
% 20.55/20.88 tff(10522,plain,
% 20.55/20.88 (succ(s127, s128)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 20.55/20.88 tff(10523,plain,
% 20.55/20.88 (((~![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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10524,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10525,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 20.55/20.88 tff(10526,plain,
% 20.55/20.88 (trans(s127, s128)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10525, 10522, 57])).
% 20.55/20.88 tff(10527,plain,
% 20.55/20.88 (((~![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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10528,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10529,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 20.55/20.88 tff(10530,plain,
% 20.55/20.88 (node7(s127, s128)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10529, 217, 10526])).
% 20.55/20.88 tff(10531,plain,
% 20.55/20.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10532,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10533,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 20.55/20.88 tff(10534,plain,
% 20.55/20.88 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_state1(s128, c_t1)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10533, 598, 10530])).
% 20.55/20.88 tff(10535,plain,
% 20.55/20.88 (m_main_v_state1(s128, c_t1)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10534, 10519, 10463])).
% 20.55/20.88 tff(10536,plain,
% 20.55/20.88 (((~![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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10537,plain,
% 20.55/20.88 ((~![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)))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10538,plain,
% 20.55/20.88 ((~![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))),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 20.55/20.88 tff(10539,plain,
% 20.55/20.88 (~m_main_v_state1(s128, c_n1)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10538, 35, 10535])).
% 20.55/20.88 tff(10540,plain,
% 20.55/20.88 (((~![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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10541,plain,
% 20.55/20.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10542,plain,
% 20.55/20.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128))),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10541, 10540])).
% 20.55/20.88 tff(10543,plain,
% 20.55/20.88 (~node1(s128)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10542, 249, 10539])).
% 20.55/20.88 tff(10544,plain,
% 20.55/20.88 (((~![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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10545,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10546,plain,
% 20.55/20.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 20.55/20.88 tff(10547,plain,
% 20.55/20.88 (node18(s127, s128)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10546, 71, 10526])).
% 20.55/20.88 tff(10548,plain,
% 20.55/20.88 (((~![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(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))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10549,plain,
% 20.55/20.88 ((~![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(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 20.55/20.88 inference(quant_inst,[status(thm)],[])).
% 20.55/20.88 tff(10550,plain,
% 20.55/20.88 ((~![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(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2)),
% 20.55/20.88 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 20.55/20.88 tff(10551,plain,
% 20.55/20.88 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_turn(s128, c_2)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10550, 625, 10547])).
% 20.55/20.88 tff(10552,plain,
% 20.55/20.88 (m_main_v_turn(s128, c_2)),
% 20.55/20.88 inference(unit_resolution,[status(thm)],[10551, 10519, 10463])).
% 20.55/20.88 tff(10553,plain,
% 20.55/20.88 (((~![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)))),
% 20.55/20.88 inference(rewrite,[status(thm)],[])).
% 20.55/20.88 tff(10554,plain,
% 20.55/20.88 ((~![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)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10555,plain,
% 20.55/20.89 ((~![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))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 20.55/20.89 tff(10556,plain,
% 20.55/20.89 (~m_main_v_turn(s128, c_1)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10555, 322, 10552])).
% 20.55/20.89 tff(10557,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10558,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10559,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 20.55/20.89 tff(10560,plain,
% 20.55/20.89 (~node5(s128)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10559, 641, 10556])).
% 20.55/20.89 tff(10561,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10562,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10563,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 20.55/20.89 tff(10564,plain,
% 20.55/20.89 (~node2(s128)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10563, 652, 10539])).
% 20.55/20.89 tff(10565,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10566,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10567,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 20.55/20.89 tff(10568,plain,
% 20.55/20.89 (~node3(s128)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10567, 663, 10539])).
% 20.55/20.89 tff(10569,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10570,plain,
% 20.55/20.89 ((~![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)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10571,plain,
% 20.55/20.89 ((~![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))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 20.55/20.89 tff(10572,plain,
% 20.55/20.89 (~m_main_v_state1(s128, c_c1)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10571, 289, 10535])).
% 20.55/20.89 tff(10573,plain,
% 20.55/20.89 (((~![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(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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10574,plain,
% 20.55/20.89 (((~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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10575,plain,
% 20.55/20.89 (((~![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))))),
% 20.55/20.89 inference(monotonicity,[status(thm)],[10574])).
% 20.55/20.89 tff(10576,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(transitivity,[status(thm)],[10575, 10573])).
% 20.55/20.89 tff(10577,plain,
% 20.55/20.89 ((~![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)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10578,plain,
% 20.55/20.89 ((~![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(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 20.55/20.89 tff(10579,plain,
% 20.55/20.89 (~m_main_v_state2(s127, c_n2)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10578, 416, 10420, 10512])).
% 20.55/20.89 tff(10580,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10581,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10582,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 20.55/20.89 tff(10583,plain,
% 20.55/20.89 (~node9(s127)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10582, 311, 10579])).
% 20.55/20.89 tff(10584,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10585,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10586,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 20.55/20.89 tff(10587,plain,
% 20.55/20.89 (~node10(s127)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10586, 372, 10579])).
% 20.55/20.89 tff(10588,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10589,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10590,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 20.55/20.89 tff(10591,plain,
% 20.55/20.89 (~node8(s127)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10590, 383, 10579])).
% 20.55/20.89 tff(10592,plain,
% 20.55/20.89 (((~![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))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10593,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10594,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128)),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 20.55/20.89 tff(10595,plain,
% 20.55/20.89 (node14(s127, s128)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10594, 130, 10526])).
% 20.55/20.89 tff(10596,plain,
% 20.55/20.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10597,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10598,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10597, 10596])).
% 20.55/20.89 tff(10599,plain,
% 20.55/20.89 ((~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)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10598, 704, 10595])).
% 20.55/20.89 tff(10600,plain,
% 20.55/20.89 (m_main_v_state2(s128, c_c2)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10599, 10591, 10463, 10519, 10587, 10583])).
% 20.55/20.89 tff(10601,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10602,plain,
% 20.55/20.89 ((~![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)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10603,plain,
% 20.55/20.89 ((~![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))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10602, 10601])).
% 20.55/20.89 tff(10604,plain,
% 20.55/20.89 (~m_main_v_state2(s128, c_n2)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10603, 716, 10600])).
% 20.55/20.89 tff(10605,plain,
% 20.55/20.89 (((~![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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10606,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10607,plain,
% 20.55/20.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 20.55/20.89 tff(10608,plain,
% 20.55/20.89 (~node4(s128)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10607, 162, 10604])).
% 20.55/20.89 tff(10609,plain,
% 20.55/20.89 (succ(s128, s129) <=> succ(s128, s129)),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10610,axiom,(succ(s128, s129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound129')).
% 20.55/20.89 tff(10611,plain,
% 20.55/20.89 (succ(s128, s129)),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 20.55/20.89 tff(10612,plain,
% 20.55/20.89 (((~![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))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10613,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10614,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10613, 10612])).
% 20.55/20.89 tff(10615,plain,
% 20.55/20.89 (trans(s128, s129)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10614, 10611, 57])).
% 20.55/20.89 tff(10616,plain,
% 20.55/20.89 (((~![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))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10617,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10618,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129)),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 20.55/20.89 tff(10619,plain,
% 20.55/20.89 (node7(s128, s129)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10618, 217, 10615])).
% 20.55/20.89 tff(10620,plain,
% 20.55/20.89 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10621,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 20.55/20.89 inference(quant_inst,[status(thm)],[])).
% 20.55/20.89 tff(10622,plain,
% 20.55/20.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129))),
% 20.55/20.89 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 20.55/20.89 tff(10623,plain,
% 20.55/20.89 (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10622, 745, 10619])).
% 20.55/20.89 tff(10624,plain,
% 20.55/20.89 (node6(s128, s129)),
% 20.55/20.89 inference(unit_resolution,[status(thm)],[10623, 10608, 10572, 10568, 10564, 10560, 10543])).
% 20.55/20.89 tff(10625,plain,
% 20.55/20.89 (((~![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(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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.89 tff(10626,plain,
% 20.55/20.89 (((~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)))),
% 20.55/20.89 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10627,plain,
% 20.55/20.90 (((~![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))))),
% 20.55/20.90 inference(monotonicity,[status(thm)],[10626])).
% 20.55/20.90 tff(10628,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(transitivity,[status(thm)],[10627, 10625])).
% 20.55/20.90 tff(10629,plain,
% 20.55/20.90 ((~![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))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10630,plain,
% 20.55/20.90 ((~![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(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10629, 10628])).
% 20.55/20.90 tff(10631,plain,
% 20.55/20.90 (m_main_v_state1(s129, c_t1)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10630, 760, 10535, 10624])).
% 20.55/20.90 tff(10632,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10633,plain,
% 20.55/20.90 ((~![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)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10634,plain,
% 20.55/20.90 ((~![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))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 20.55/20.90 tff(10635,plain,
% 20.55/20.90 (~m_main_v_state2(s128, c_t2)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10634, 173, 10600])).
% 20.55/20.90 tff(10636,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10637,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10638,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 20.55/20.90 tff(10639,plain,
% 20.55/20.90 (~node12(s128)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10638, 778, 10635])).
% 20.55/20.90 tff(10640,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10641,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10642,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 20.55/20.90 tff(10643,plain,
% 20.55/20.90 (~node11(s128)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10642, 361, 10539])).
% 20.55/20.90 tff(10644,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10645,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10646,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 20.55/20.90 tff(10647,plain,
% 20.55/20.90 (~node10(s128)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10646, 793, 10572])).
% 20.55/20.90 tff(10648,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10649,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10650,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 20.55/20.90 tff(10651,plain,
% 20.55/20.90 (~node9(s128)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10650, 804, 10539])).
% 20.55/20.90 tff(10652,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10653,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10654,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10653, 10652])).
% 20.55/20.90 tff(10655,plain,
% 20.55/20.90 (~node8(s128)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10654, 383, 10604])).
% 20.55/20.90 tff(10656,plain,
% 20.55/20.90 (((~![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))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10657,plain,
% 20.55/20.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10658,plain,
% 20.55/20.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129)),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 20.55/20.90 tff(10659,plain,
% 20.55/20.90 (node14(s128, s129)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10658, 130, 10615])).
% 20.55/20.90 tff(10660,plain,
% 20.55/20.90 (((~![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(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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10661,plain,
% 20.55/20.90 (((~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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10662,plain,
% 20.55/20.90 (((~![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(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))))),
% 20.55/20.90 inference(monotonicity,[status(thm)],[10661])).
% 20.55/20.90 tff(10663,plain,
% 20.55/20.90 (((~![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(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)))),
% 20.55/20.90 inference(transitivity,[status(thm)],[10662, 10660])).
% 20.55/20.90 tff(10664,plain,
% 20.55/20.90 ((~![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(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10665,plain,
% 20.55/20.90 ((~![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(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 20.55/20.90 tff(10666,plain,
% 20.55/20.90 (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~m_main_v_state2(s128, c_c2))),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10665, 826, 10659])).
% 20.55/20.90 tff(10667,plain,
% 20.55/20.90 (m_main_v_state2(s129, c_n2)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10666, 10655, 10600, 10651, 10647, 10643, 10639])).
% 20.55/20.90 tff(10668,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10669,plain,
% 20.55/20.90 ((~![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)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10670,plain,
% 20.55/20.90 ((~![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))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 20.55/20.90 tff(10671,plain,
% 20.55/20.90 (~m_main_v_state2(s129, c_t2)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10670, 10, 10667])).
% 20.55/20.90 tff(10672,plain,
% 20.55/20.90 (((~![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)))),
% 20.55/20.90 inference(rewrite,[status(thm)],[])).
% 20.55/20.90 tff(10673,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 20.55/20.90 inference(quant_inst,[status(thm)],[])).
% 20.55/20.90 tff(10674,plain,
% 20.55/20.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129))),
% 20.55/20.90 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 20.55/20.90 tff(10675,plain,
% 20.55/20.90 (~node15(s129)),
% 20.55/20.90 inference(unit_resolution,[status(thm)],[10674, 21, 10671])).
% 20.55/20.90 tff(10676,plain,
% 20.55/20.91 (succ(s129, s130) <=> succ(s129, s130)),
% 20.55/20.91 inference(rewrite,[status(thm)],[])).
% 20.55/20.91 tff(10677,axiom,(succ(s129, s130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound130')).
% 20.55/20.91 tff(10678,plain,
% 20.55/20.91 (succ(s129, s130)),
% 20.55/20.91 inference(modus_ponens,[status(thm)],[10677, 10676])).
% 20.55/20.91 tff(10679,plain,
% 20.55/20.91 (((~![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))),
% 20.55/20.91 inference(rewrite,[status(thm)],[])).
% 20.55/20.91 tff(10680,plain,
% 20.55/20.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 20.55/20.91 inference(quant_inst,[status(thm)],[])).
% 20.55/20.91 tff(10681,plain,
% 20.55/20.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 20.55/20.91 inference(modus_ponens,[status(thm)],[10680, 10679])).
% 20.55/20.91 tff(10682,plain,
% 20.55/20.91 (trans(s129, s130)),
% 20.55/20.91 inference(unit_resolution,[status(thm)],[10681, 10678, 57])).
% 20.55/20.91 tff(10683,plain,
% 20.55/20.91 (((~![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))),
% 20.55/20.91 inference(rewrite,[status(thm)],[])).
% 20.55/20.91 tff(10684,plain,
% 20.55/20.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))),
% 20.55/20.91 inference(quant_inst,[status(thm)],[])).
% 20.55/20.91 tff(10685,plain,
% 20.55/20.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130)),
% 20.55/20.91 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 20.55/20.91 tff(10686,plain,
% 20.55/20.91 (node18(s129, s130)),
% 20.55/20.91 inference(unit_resolution,[status(thm)],[10685, 71, 10682])).
% 20.55/20.91 tff(10687,plain,
% 20.55/20.91 (((~![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(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))),
% 20.55/20.91 inference(rewrite,[status(thm)],[])).
% 20.55/20.91 tff(10688,plain,
% 20.55/20.91 (((~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))),
% 20.55/20.91 inference(rewrite,[status(thm)],[])).
% 20.55/20.91 tff(10689,plain,
% 20.55/20.91 (((~![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(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)))),
% 20.55/20.91 inference(monotonicity,[status(thm)],[10688])).
% 20.55/20.91 tff(10690,plain,
% 20.55/20.91 (((~![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(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))),
% 20.55/20.91 inference(transitivity,[status(thm)],[10689, 10687])).
% 20.55/20.91 tff(10691,plain,
% 20.55/20.91 ((~![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(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10692,plain,
% 20.65/20.91 ((~![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(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)),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 20.65/20.91 tff(10693,plain,
% 20.65/20.91 (node15(s129) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10692, 863, 10686])).
% 20.65/20.91 tff(10694,plain,
% 20.65/20.91 (m_main_v_turn(s130, c_1)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10693, 10675, 10667, 10631])).
% 20.65/20.91 tff(10695,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10696,plain,
% 20.65/20.91 ((~![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)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10697,plain,
% 20.65/20.91 ((~![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))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 20.65/20.91 tff(10698,plain,
% 20.65/20.91 (~m_main_v_turn(s130, c_2)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10697, 322, 10694])).
% 20.65/20.91 tff(10699,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10700,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10701,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 20.65/20.91 tff(10702,plain,
% 20.65/20.91 (~node12(s130)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10701, 350, 10698])).
% 20.65/20.91 tff(10703,plain,
% 20.65/20.91 (((~![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))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10704,plain,
% 20.65/20.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10705,plain,
% 20.65/20.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130)),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 20.65/20.91 tff(10706,plain,
% 20.65/20.91 (node14(s129, s130)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10705, 130, 10682])).
% 20.65/20.91 tff(10707,plain,
% 20.65/20.91 (((~![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(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))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10708,plain,
% 20.65/20.91 ((~![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(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10709,plain,
% 20.65/20.91 ((~![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(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2)),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10708, 10707])).
% 20.65/20.91 tff(10710,plain,
% 20.65/20.91 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state2(s130, c_t2)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10709, 893, 10706])).
% 20.65/20.91 tff(10711,plain,
% 20.65/20.91 (m_main_v_state2(s130, c_t2)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10710, 10631, 10667])).
% 20.65/20.91 tff(10712,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10713,plain,
% 20.65/20.91 ((~![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)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10714,plain,
% 20.65/20.91 ((~![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))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 20.65/20.91 tff(10715,plain,
% 20.65/20.91 (~m_main_v_state2(s130, c_n2)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10714, 10, 10711])).
% 20.65/20.91 tff(10716,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10717,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10718,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 20.65/20.91 tff(10719,plain,
% 20.65/20.91 (~node8(s130)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10718, 383, 10715])).
% 20.65/20.91 tff(10720,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10721,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10722,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 20.65/20.91 tff(10723,plain,
% 20.65/20.91 (~node9(s130)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10722, 311, 10715])).
% 20.65/20.91 tff(10724,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10725,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 20.65/20.91 inference(quant_inst,[status(thm)],[])).
% 20.65/20.91 tff(10726,plain,
% 20.65/20.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130))),
% 20.65/20.91 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 20.65/20.91 tff(10727,plain,
% 20.65/20.91 (~node10(s130)),
% 20.65/20.91 inference(unit_resolution,[status(thm)],[10726, 372, 10715])).
% 20.65/20.91 tff(10728,plain,
% 20.65/20.91 (((~![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)))),
% 20.65/20.91 inference(rewrite,[status(thm)],[])).
% 20.65/20.91 tff(10729,plain,
% 20.65/20.92 ((~![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)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10730,plain,
% 20.65/20.92 ((~![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))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 20.65/20.92 tff(10731,plain,
% 20.65/20.92 (~m_main_v_state2(s130, c_c2)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10730, 173, 10711])).
% 20.65/20.92 tff(10732,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10733,plain,
% 20.65/20.92 ((~![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)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10734,plain,
% 20.65/20.92 ((~![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))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 20.65/20.92 tff(10735,plain,
% 20.65/20.92 (~m_main_v_state2(s129, c_c2)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10734, 716, 10667])).
% 20.65/20.92 tff(10736,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10737,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10738,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 20.65/20.92 tff(10739,plain,
% 20.65/20.92 (~node3(s129)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10738, 184, 10735])).
% 20.65/20.92 tff(10740,plain,
% 20.65/20.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10741,plain,
% 20.65/20.92 (((~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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10742,plain,
% 20.65/20.92 (((~![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))))),
% 20.65/20.92 inference(monotonicity,[status(thm)],[10741])).
% 20.65/20.92 tff(10743,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(transitivity,[status(thm)],[10742, 10740])).
% 20.65/20.92 tff(10744,plain,
% 20.65/20.92 ((~![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)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10745,plain,
% 20.65/20.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 20.65/20.92 tff(10746,plain,
% 20.65/20.92 (~m_main_v_state1(s129, c_n1)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10745, 936, 10539, 10624])).
% 20.65/20.92 tff(10747,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10748,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10749,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 20.65/20.92 tff(10750,plain,
% 20.65/20.92 (~node2(s129)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10749, 652, 10746])).
% 20.65/20.92 tff(10751,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10752,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10753,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 20.65/20.92 tff(10754,plain,
% 20.65/20.92 (~node1(s129)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10753, 206, 10671])).
% 20.65/20.92 tff(10755,plain,
% 20.65/20.92 (((~![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))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10756,plain,
% 20.65/20.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10757,plain,
% 20.65/20.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130)),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10756, 10755])).
% 20.65/20.92 tff(10758,plain,
% 20.65/20.92 (node7(s129, s130)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10757, 217, 10682])).
% 20.65/20.92 tff(10759,plain,
% 20.65/20.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10760,plain,
% 20.65/20.92 (((~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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10761,plain,
% 20.65/20.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.65/20.92 inference(monotonicity,[status(thm)],[10760])).
% 20.65/20.92 tff(10762,plain,
% 20.65/20.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.65/20.92 inference(transitivity,[status(thm)],[10761, 10759])).
% 20.65/20.92 tff(10763,plain,
% 20.65/20.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10764,plain,
% 20.65/20.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 20.65/20.92 tff(10765,plain,
% 20.65/20.92 ((~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)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10764, 965, 10758])).
% 20.65/20.92 tff(10766,plain,
% 20.65/20.92 (m_main_v_state1(s130, c_c1)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10765, 10754, 10667, 10631, 10750, 10739])).
% 20.65/20.92 tff(10767,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10768,plain,
% 20.65/20.92 ((~![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)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10769,plain,
% 20.65/20.92 ((~![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))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 20.65/20.92 tff(10770,plain,
% 20.65/20.92 (~m_main_v_state1(s130, c_n1)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10769, 449, 10766])).
% 20.65/20.92 tff(10771,plain,
% 20.65/20.92 (((~![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)))),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10772,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 20.65/20.92 inference(quant_inst,[status(thm)],[])).
% 20.65/20.92 tff(10773,plain,
% 20.65/20.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130))),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10772, 10771])).
% 20.65/20.92 tff(10774,plain,
% 20.65/20.92 (~node11(s130)),
% 20.65/20.92 inference(unit_resolution,[status(thm)],[10773, 361, 10770])).
% 20.65/20.92 tff(10775,plain,
% 20.65/20.92 (succ(s130, s131) <=> succ(s130, s131)),
% 20.65/20.92 inference(rewrite,[status(thm)],[])).
% 20.65/20.92 tff(10776,axiom,(succ(s130, s131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound131')).
% 20.65/20.92 tff(10777,plain,
% 20.65/20.92 (succ(s130, s131)),
% 20.65/20.92 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 20.65/20.93 tff(10778,plain,
% 20.65/20.93 (((~![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))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10779,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10780,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 20.65/20.93 tff(10781,plain,
% 20.65/20.93 (trans(s130, s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10780, 10777, 57])).
% 20.65/20.93 tff(10782,plain,
% 20.65/20.93 (((~![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))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10783,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10784,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131)),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 20.65/20.93 tff(10785,plain,
% 20.65/20.93 (node14(s130, s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10784, 130, 10781])).
% 20.65/20.93 tff(10786,plain,
% 20.65/20.93 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10787,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10788,plain,
% 20.65/20.93 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10787, 10786])).
% 20.65/20.93 tff(10789,plain,
% 20.65/20.93 (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10788, 401, 10785])).
% 20.65/20.93 tff(10790,plain,
% 20.65/20.93 (node13(s130, s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10789, 10774, 10731, 10727, 10723, 10719, 10702])).
% 20.65/20.93 tff(10791,plain,
% 20.65/20.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10792,plain,
% 20.65/20.93 (((~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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10793,plain,
% 20.65/20.93 (((~![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))))),
% 20.65/20.93 inference(monotonicity,[status(thm)],[10792])).
% 20.65/20.93 tff(10794,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(transitivity,[status(thm)],[10793, 10791])).
% 20.65/20.93 tff(10795,plain,
% 20.65/20.93 ((~![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)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10796,plain,
% 20.65/20.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10795, 10794])).
% 20.65/20.93 tff(10797,plain,
% 20.65/20.93 (~m_main_v_state2(s131, c_n2)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10796, 416, 10715, 10790])).
% 20.65/20.93 tff(10798,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10799,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10800,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10799, 10798])).
% 20.65/20.93 tff(10801,plain,
% 20.65/20.93 (~node9(s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10800, 311, 10797])).
% 20.65/20.93 tff(10802,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10803,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10804,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10803, 10802])).
% 20.65/20.93 tff(10805,plain,
% 20.65/20.93 (~node10(s131)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10804, 372, 10797])).
% 20.65/20.93 tff(10806,plain,
% 20.65/20.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10807,plain,
% 20.65/20.93 (((~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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10808,plain,
% 20.65/20.93 (((~![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))))),
% 20.65/20.93 inference(monotonicity,[status(thm)],[10807])).
% 20.65/20.93 tff(10809,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(transitivity,[status(thm)],[10808, 10806])).
% 20.65/20.93 tff(10810,plain,
% 20.65/20.93 ((~![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))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10811,plain,
% 20.65/20.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 20.65/20.93 tff(10812,plain,
% 20.65/20.93 (m_main_v_state2(s131, c_t2)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10811, 563, 10711, 10790])).
% 20.65/20.93 tff(10813,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10814,plain,
% 20.65/20.93 ((~![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)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10815,plain,
% 20.65/20.93 ((~![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))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 20.65/20.93 tff(10816,plain,
% 20.65/20.93 (~m_main_v_state1(s130, c_t1)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10815, 289, 10766])).
% 20.65/20.93 tff(10817,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10818,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10819,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 20.65/20.93 tff(10820,plain,
% 20.65/20.93 (~node5(s130)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10819, 300, 10816])).
% 20.65/20.93 tff(10821,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10822,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10823,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 20.65/20.93 tff(10824,plain,
% 20.65/20.93 (~node4(s130)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10823, 162, 10715])).
% 20.65/20.93 tff(10825,plain,
% 20.65/20.93 (((~![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)))),
% 20.65/20.93 inference(rewrite,[status(thm)],[])).
% 20.65/20.93 tff(10826,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 20.65/20.93 inference(quant_inst,[status(thm)],[])).
% 20.65/20.93 tff(10827,plain,
% 20.65/20.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130))),
% 20.65/20.93 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 20.65/20.93 tff(10828,plain,
% 20.65/20.93 (~node3(s130)),
% 20.65/20.93 inference(unit_resolution,[status(thm)],[10827, 184, 10731])).
% 20.65/20.94 tff(10829,plain,
% 20.65/20.94 (((~![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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10830,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10831,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 20.65/20.94 tff(10832,plain,
% 20.65/20.94 (~node2(s130)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10831, 195, 10715])).
% 20.65/20.94 tff(10833,plain,
% 20.65/20.94 (((~![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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10834,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10835,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10834, 10833])).
% 20.65/20.94 tff(10836,plain,
% 20.65/20.94 (~node1(s130)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10835, 249, 10770])).
% 20.65/20.94 tff(10837,plain,
% 20.65/20.94 (((~![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))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10838,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10839,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131)),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 20.65/20.94 tff(10840,plain,
% 20.65/20.94 (node7(s130, s131)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10839, 217, 10781])).
% 20.65/20.94 tff(10841,plain,
% 20.65/20.94 (((~![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(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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10842,plain,
% 20.65/20.94 (((~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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10843,plain,
% 20.65/20.94 (((~![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(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))))),
% 20.65/20.94 inference(monotonicity,[status(thm)],[10842])).
% 20.65/20.94 tff(10844,plain,
% 20.65/20.94 (((~![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(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)))),
% 20.65/20.94 inference(transitivity,[status(thm)],[10843, 10841])).
% 20.65/20.94 tff(10845,plain,
% 20.65/20.94 ((~![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(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10846,plain,
% 20.65/20.94 ((~![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(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10845, 10844])).
% 20.65/20.94 tff(10847,plain,
% 20.65/20.94 (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10846, 478, 10840])).
% 20.65/20.94 tff(10848,plain,
% 20.65/20.94 (m_main_v_state1(s131, c_n1)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10847, 10836, 10766, 10832, 10828, 10824, 10820])).
% 20.65/20.94 tff(10849,plain,
% 20.65/20.94 (((~![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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10850,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10851,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10850, 10849])).
% 20.65/20.94 tff(10852,plain,
% 20.65/20.94 (~node8(s131)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10851, 383, 10797])).
% 20.65/20.94 tff(10853,plain,
% 20.65/20.94 (succ(s131, s132) <=> succ(s131, s132)),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10854,axiom,(succ(s131, s132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound132')).
% 20.65/20.94 tff(10855,plain,
% 20.65/20.94 (succ(s131, s132)),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10854, 10853])).
% 20.65/20.94 tff(10856,plain,
% 20.65/20.94 (((~![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))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10857,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10858,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 20.65/20.94 tff(10859,plain,
% 20.65/20.94 (trans(s131, s132)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10858, 10855, 57])).
% 20.65/20.94 tff(10860,plain,
% 20.65/20.94 (((~![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))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10861,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10862,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132)),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10861, 10860])).
% 20.65/20.94 tff(10863,plain,
% 20.65/20.94 (node14(s131, s132)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10862, 130, 10859])).
% 20.65/20.94 tff(10864,plain,
% 20.65/20.94 (((~![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(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))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10865,plain,
% 20.65/20.94 ((~![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(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))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10866,plain,
% 20.65/20.94 ((~![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(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)),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 20.65/20.94 tff(10867,plain,
% 20.65/20.94 ((~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)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10866, 704, 10863])).
% 20.65/20.94 tff(10868,plain,
% 20.65/20.94 (m_main_v_state2(s132, c_c2)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10867, 10852, 10848, 10812, 10805, 10801])).
% 20.65/20.94 tff(10869,plain,
% 20.65/20.94 (((~![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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10870,plain,
% 20.65/20.94 ((~![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)))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10871,plain,
% 20.65/20.94 ((~![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))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 20.65/20.94 tff(10872,plain,
% 20.65/20.94 (~m_main_v_state2(s132, c_t2)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10871, 173, 10868])).
% 20.65/20.94 tff(10873,plain,
% 20.65/20.94 (((~![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)))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10874,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 20.65/20.94 inference(quant_inst,[status(thm)],[])).
% 20.65/20.94 tff(10875,plain,
% 20.65/20.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132))),
% 20.65/20.94 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 20.65/20.94 tff(10876,plain,
% 20.65/20.94 (~node12(s132)),
% 20.65/20.94 inference(unit_resolution,[status(thm)],[10875, 778, 10872])).
% 20.65/20.94 tff(10877,plain,
% 20.65/20.94 (((~![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))),
% 20.65/20.94 inference(rewrite,[status(thm)],[])).
% 20.65/20.94 tff(10878,plain,
% 20.65/20.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10879,plain,
% 20.65/20.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132)),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 20.65/20.95 tff(10880,plain,
% 20.65/20.95 (node7(s131, s132)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10879, 217, 10859])).
% 20.65/20.95 tff(10881,plain,
% 20.65/20.95 (((~![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(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))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10882,plain,
% 20.65/20.95 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10883,plain,
% 20.65/20.95 ((~![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(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1)),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 20.65/20.95 tff(10884,plain,
% 20.65/20.95 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_state1(s132, c_t1)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10883, 598, 10880])).
% 20.65/20.95 tff(10885,plain,
% 20.65/20.95 (m_main_v_state1(s132, c_t1)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10884, 10812, 10848])).
% 20.65/20.95 tff(10886,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10887,plain,
% 20.65/20.95 ((~![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)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10888,plain,
% 20.65/20.95 ((~![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))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 20.65/20.95 tff(10889,plain,
% 20.65/20.95 (~m_main_v_state1(s132, c_n1)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10888, 35, 10885])).
% 20.65/20.95 tff(10890,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10891,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10892,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 20.65/20.95 tff(10893,plain,
% 20.65/20.95 (~node11(s132)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10892, 361, 10889])).
% 20.65/20.95 tff(10894,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10895,plain,
% 20.65/20.95 ((~![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)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10896,plain,
% 20.65/20.95 ((~![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))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 20.65/20.95 tff(10897,plain,
% 20.65/20.95 (~m_main_v_state1(s132, c_c1)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10896, 289, 10885])).
% 20.65/20.95 tff(10898,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10899,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10900,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10899, 10898])).
% 20.65/20.95 tff(10901,plain,
% 20.65/20.95 (~node10(s132)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10900, 793, 10897])).
% 20.65/20.95 tff(10902,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10903,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10904,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 20.65/20.95 tff(10905,plain,
% 20.65/20.95 (~node9(s132)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10904, 804, 10889])).
% 20.65/20.95 tff(10906,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10907,plain,
% 20.65/20.95 ((~![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)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10908,plain,
% 20.65/20.95 ((~![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))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 20.65/20.95 tff(10909,plain,
% 20.65/20.95 (~m_main_v_state2(s132, c_n2)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10908, 716, 10868])).
% 20.65/20.95 tff(10910,plain,
% 20.65/20.95 (((~![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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10911,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10912,plain,
% 20.65/20.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132))),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 20.65/20.95 tff(10913,plain,
% 20.65/20.95 (~node8(s132)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10912, 383, 10909])).
% 20.65/20.95 tff(10914,plain,
% 20.65/20.95 (succ(s132, s133) <=> succ(s132, s133)),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10915,axiom,(succ(s132, s133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound133')).
% 20.65/20.95 tff(10916,plain,
% 20.65/20.95 (succ(s132, s133)),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 20.65/20.95 tff(10917,plain,
% 20.65/20.95 (((~![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))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10918,plain,
% 20.65/20.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10919,plain,
% 20.65/20.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 20.65/20.95 tff(10920,plain,
% 20.65/20.95 (trans(s132, s133)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10919, 10916, 57])).
% 20.65/20.95 tff(10921,plain,
% 20.65/20.95 (((~![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))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10922,plain,
% 20.65/20.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10923,plain,
% 20.65/20.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133)),
% 20.65/20.95 inference(modus_ponens,[status(thm)],[10922, 10921])).
% 20.65/20.95 tff(10924,plain,
% 20.65/20.95 (node14(s132, s133)),
% 20.65/20.95 inference(unit_resolution,[status(thm)],[10923, 130, 10920])).
% 20.65/20.95 tff(10925,plain,
% 20.65/20.95 (((~![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(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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10926,plain,
% 20.65/20.95 (((~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)))),
% 20.65/20.95 inference(rewrite,[status(thm)],[])).
% 20.65/20.95 tff(10927,plain,
% 20.65/20.95 (((~![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(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))))),
% 20.65/20.95 inference(monotonicity,[status(thm)],[10926])).
% 20.65/20.95 tff(10928,plain,
% 20.65/20.95 (((~![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(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)))),
% 20.65/20.95 inference(transitivity,[status(thm)],[10927, 10925])).
% 20.65/20.95 tff(10929,plain,
% 20.65/20.95 ((~![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(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))),
% 20.65/20.95 inference(quant_inst,[status(thm)],[])).
% 20.65/20.95 tff(10930,plain,
% 20.65/20.95 ((~![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(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10929, 10928])).
% 20.65/20.96 tff(10931,plain,
% 20.65/20.96 (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~m_main_v_state2(s132, c_c2))),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10930, 826, 10924])).
% 20.65/20.96 tff(10932,plain,
% 20.65/20.96 (m_main_v_state2(s133, c_n2)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10931, 10913, 10868, 10905, 10901, 10893, 10876])).
% 20.65/20.96 tff(10933,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10934,plain,
% 20.65/20.96 ((~![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)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10935,plain,
% 20.65/20.96 ((~![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))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10934, 10933])).
% 20.65/20.96 tff(10936,plain,
% 20.65/20.96 (~m_main_v_state2(s133, c_c2)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10935, 716, 10932])).
% 20.65/20.96 tff(10937,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10938,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10939,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 20.65/20.96 tff(10940,plain,
% 20.65/20.96 (~node3(s133)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10939, 184, 10936])).
% 20.65/20.96 tff(10941,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10942,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10943,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10942, 10941])).
% 20.65/20.96 tff(10944,plain,
% 20.65/20.96 (~node1(s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10943, 249, 10889])).
% 20.65/20.96 tff(10945,plain,
% 20.65/20.96 (((~![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))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10946,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10947,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132)),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10946, 10945])).
% 20.65/20.96 tff(10948,plain,
% 20.65/20.96 (node18(s131, s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10947, 71, 10859])).
% 20.65/20.96 tff(10949,plain,
% 20.65/20.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10950,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10951,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2)),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 20.65/20.96 tff(10952,plain,
% 20.65/20.96 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_turn(s132, c_2)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10951, 625, 10948])).
% 20.65/20.96 tff(10953,plain,
% 20.65/20.96 (m_main_v_turn(s132, c_2)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10952, 10812, 10848])).
% 20.65/20.96 tff(10954,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10955,plain,
% 20.65/20.96 ((~![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)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10956,plain,
% 20.65/20.96 ((~![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))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10955, 10954])).
% 20.65/20.96 tff(10957,plain,
% 20.65/20.96 (~m_main_v_turn(s132, c_1)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10956, 322, 10953])).
% 20.65/20.96 tff(10958,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10959,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10960,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 20.65/20.96 tff(10961,plain,
% 20.65/20.96 (~node5(s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10960, 641, 10957])).
% 20.65/20.96 tff(10962,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10963,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10964,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 20.65/20.96 tff(10965,plain,
% 20.65/20.96 (~node2(s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10964, 652, 10889])).
% 20.65/20.96 tff(10966,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10967,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10968,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 20.65/20.96 tff(10969,plain,
% 20.65/20.96 (~node3(s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10968, 663, 10889])).
% 20.65/20.96 tff(10970,plain,
% 20.65/20.96 (((~![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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10971,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10972,plain,
% 20.65/20.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 20.65/20.96 tff(10973,plain,
% 20.65/20.96 (~node4(s132)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10972, 162, 10909])).
% 20.65/20.96 tff(10974,plain,
% 20.65/20.96 (((~![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))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10975,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10976,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133)),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10975, 10974])).
% 20.65/20.96 tff(10977,plain,
% 20.65/20.96 (node7(s132, s133)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10976, 217, 10920])).
% 20.65/20.96 tff(10978,plain,
% 20.65/20.96 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10979,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 20.65/20.96 inference(quant_inst,[status(thm)],[])).
% 20.65/20.96 tff(10980,plain,
% 20.65/20.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133))),
% 20.65/20.96 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 20.65/20.96 tff(10981,plain,
% 20.65/20.96 (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10980, 745, 10977])).
% 20.65/20.96 tff(10982,plain,
% 20.65/20.96 (node6(s132, s133)),
% 20.65/20.96 inference(unit_resolution,[status(thm)],[10981, 10973, 10897, 10969, 10965, 10961, 10944])).
% 20.65/20.96 tff(10983,plain,
% 20.65/20.96 (((~![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(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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10984,plain,
% 20.65/20.96 (((~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)))),
% 20.65/20.96 inference(rewrite,[status(thm)],[])).
% 20.65/20.96 tff(10985,plain,
% 20.65/20.96 (((~![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))))),
% 20.65/20.97 inference(monotonicity,[status(thm)],[10984])).
% 20.65/20.97 tff(10986,plain,
% 20.65/20.97 (((~![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_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)))),
% 20.65/20.97 inference(transitivity,[status(thm)],[10985, 10983])).
% 20.65/20.97 tff(10987,plain,
% 20.65/20.97 ((~![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_n1) | (~m_main_v_state1(s133, c_n1)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(10988,plain,
% 20.65/20.97 ((~![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_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 20.65/20.97 tff(10989,plain,
% 20.65/20.97 (~m_main_v_state1(s133, c_n1)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[10988, 936, 10889, 10982])).
% 20.65/20.97 tff(10990,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(10991,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(10992,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 20.65/20.97 tff(10993,plain,
% 20.65/20.97 (~node2(s133)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[10992, 652, 10989])).
% 20.65/20.97 tff(10994,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(10995,plain,
% 20.65/20.97 (((~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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(10996,plain,
% 20.65/20.97 (((~![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))))),
% 20.65/20.97 inference(monotonicity,[status(thm)],[10995])).
% 20.65/20.97 tff(10997,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(transitivity,[status(thm)],[10996, 10994])).
% 20.65/20.97 tff(10998,plain,
% 20.65/20.97 ((~![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))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(10999,plain,
% 20.65/20.97 ((~![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))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 20.65/20.97 tff(11000,plain,
% 20.65/20.97 (m_main_v_state1(s133, c_t1)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[10999, 760, 10885, 10982])).
% 20.65/20.97 tff(11001,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11002,plain,
% 20.65/20.97 ((~![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)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11003,plain,
% 20.65/20.97 ((~![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))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 20.65/20.97 tff(11004,plain,
% 20.65/20.97 (~m_main_v_state2(s133, c_t2)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11003, 10, 10932])).
% 20.65/20.97 tff(11005,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11006,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11007,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11006, 11005])).
% 20.65/20.97 tff(11008,plain,
% 20.65/20.97 (~node1(s133)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11007, 206, 11004])).
% 20.65/20.97 tff(11009,plain,
% 20.65/20.97 (succ(s133, s134) <=> succ(s133, s134)),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11010,axiom,(succ(s133, s134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound134')).
% 20.65/20.97 tff(11011,plain,
% 20.65/20.97 (succ(s133, s134)),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11010, 11009])).
% 20.65/20.97 tff(11012,plain,
% 20.65/20.97 (((~![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))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11013,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11014,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 20.65/20.97 tff(11015,plain,
% 20.65/20.97 (trans(s133, s134)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11014, 11011, 57])).
% 20.65/20.97 tff(11016,plain,
% 20.65/20.97 (((~![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))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11017,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11018,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134)),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11017, 11016])).
% 20.65/20.97 tff(11019,plain,
% 20.65/20.97 (node7(s133, s134)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11018, 217, 11015])).
% 20.65/20.97 tff(11020,plain,
% 20.65/20.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11021,plain,
% 20.65/20.97 (((~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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11022,plain,
% 20.65/20.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 20.65/20.97 inference(monotonicity,[status(thm)],[11021])).
% 20.65/20.97 tff(11023,plain,
% 20.65/20.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 20.65/20.97 inference(transitivity,[status(thm)],[11022, 11020])).
% 20.65/20.97 tff(11024,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11025,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11024, 11023])).
% 20.65/20.97 tff(11026,plain,
% 20.65/20.97 ((~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)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11025, 965, 11019])).
% 20.65/20.97 tff(11027,plain,
% 20.65/20.97 (m_main_v_state1(s134, c_c1)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11026, 11008, 10932, 11000, 10993, 10940])).
% 20.65/20.97 tff(11028,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11029,plain,
% 20.65/20.97 ((~![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)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11030,plain,
% 20.65/20.97 ((~![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))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 20.65/20.97 tff(11031,plain,
% 20.65/20.97 (~m_main_v_state1(s134, c_t1)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11030, 289, 11027])).
% 20.65/20.97 tff(11032,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11033,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11034,plain,
% 20.65/20.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 20.65/20.97 tff(11035,plain,
% 20.65/20.97 (~node5(s134)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11034, 300, 11031])).
% 20.65/20.97 tff(11036,plain,
% 20.65/20.97 (((~![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))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11037,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11038,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134)),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 20.65/20.97 tff(11039,plain,
% 20.65/20.97 (node14(s133, s134)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11038, 130, 11015])).
% 20.65/20.97 tff(11040,plain,
% 20.65/20.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11041,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11042,plain,
% 20.65/20.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2)),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 20.65/20.97 tff(11043,plain,
% 20.65/20.97 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state2(s134, c_t2)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11042, 893, 11039])).
% 20.65/20.97 tff(11044,plain,
% 20.65/20.97 (m_main_v_state2(s134, c_t2)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11043, 11000, 10932])).
% 20.65/20.97 tff(11045,plain,
% 20.65/20.97 (((~![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)))),
% 20.65/20.97 inference(rewrite,[status(thm)],[])).
% 20.65/20.97 tff(11046,plain,
% 20.65/20.97 ((~![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)))),
% 20.65/20.97 inference(quant_inst,[status(thm)],[])).
% 20.65/20.97 tff(11047,plain,
% 20.65/20.97 ((~![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))),
% 20.65/20.97 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 20.65/20.97 tff(11048,plain,
% 20.65/20.97 (~m_main_v_state2(s134, c_n2)),
% 20.65/20.97 inference(unit_resolution,[status(thm)],[11047, 10, 11044])).
% 20.65/20.98 tff(11049,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11050,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11051,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 20.65/20.98 tff(11052,plain,
% 20.65/20.98 (~node4(s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11051, 162, 11048])).
% 20.65/20.98 tff(11053,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11054,plain,
% 20.65/20.98 ((~![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)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11055,plain,
% 20.65/20.98 ((~![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))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 20.65/20.98 tff(11056,plain,
% 20.65/20.98 (~m_main_v_state2(s134, c_c2)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11055, 173, 11044])).
% 20.65/20.98 tff(11057,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11058,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11059,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 20.65/20.98 tff(11060,plain,
% 20.65/20.98 (~node3(s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11059, 184, 11056])).
% 20.65/20.98 tff(11061,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11062,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11063,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 20.65/20.98 tff(11064,plain,
% 20.65/20.98 (~node2(s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11063, 195, 11048])).
% 20.65/20.98 tff(11065,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11066,plain,
% 20.65/20.98 ((~![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)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11067,plain,
% 20.65/20.98 ((~![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))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11066, 11065])).
% 20.65/20.98 tff(11068,plain,
% 20.65/20.98 (~m_main_v_state1(s134, c_n1)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11067, 449, 11027])).
% 20.65/20.98 tff(11069,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11070,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11071,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 20.65/20.98 tff(11072,plain,
% 20.65/20.98 (~node1(s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11071, 249, 11068])).
% 20.65/20.98 tff(11073,plain,
% 20.65/20.98 (succ(s134, s135) <=> succ(s134, s135)),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11074,axiom,(succ(s134, s135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound135')).
% 20.65/20.98 tff(11075,plain,
% 20.65/20.98 (succ(s134, s135)),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 20.65/20.98 tff(11076,plain,
% 20.65/20.98 (((~![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))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11077,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11078,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 20.65/20.98 tff(11079,plain,
% 20.65/20.98 (trans(s134, s135)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11078, 11075, 57])).
% 20.65/20.98 tff(11080,plain,
% 20.65/20.98 (((~![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))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11081,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11082,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135)),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 20.65/20.98 tff(11083,plain,
% 20.65/20.98 (node7(s134, s135)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11082, 217, 11079])).
% 20.65/20.98 tff(11084,plain,
% 20.65/20.98 (((~![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(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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11085,plain,
% 20.65/20.98 (((~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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11086,plain,
% 20.65/20.98 (((~![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(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))))),
% 20.65/20.98 inference(monotonicity,[status(thm)],[11085])).
% 20.65/20.98 tff(11087,plain,
% 20.65/20.98 (((~![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(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)))),
% 20.65/20.98 inference(transitivity,[status(thm)],[11086, 11084])).
% 20.65/20.98 tff(11088,plain,
% 20.65/20.98 ((~![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(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11089,plain,
% 20.65/20.98 ((~![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(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 20.65/20.98 tff(11090,plain,
% 20.65/20.98 (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11089, 478, 11083])).
% 20.65/20.98 tff(11091,plain,
% 20.65/20.98 (m_main_v_state1(s135, c_n1)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11090, 11072, 11027, 11064, 11060, 11052, 11035])).
% 20.65/20.98 tff(11092,plain,
% 20.65/20.98 (((~![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)))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11093,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11094,plain,
% 20.65/20.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133))),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 20.65/20.98 tff(11095,plain,
% 20.65/20.98 (~node15(s133)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11094, 21, 11004])).
% 20.65/20.98 tff(11096,plain,
% 20.65/20.98 (((~![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))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11097,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))),
% 20.65/20.98 inference(quant_inst,[status(thm)],[])).
% 20.65/20.98 tff(11098,plain,
% 20.65/20.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134)),
% 20.65/20.98 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 20.65/20.98 tff(11099,plain,
% 20.65/20.98 (node18(s133, s134)),
% 20.65/20.98 inference(unit_resolution,[status(thm)],[11098, 71, 11015])).
% 20.65/20.98 tff(11100,plain,
% 20.65/20.98 (((~![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))),
% 20.65/20.98 inference(rewrite,[status(thm)],[])).
% 20.65/20.98 tff(11101,plain,
% 20.65/20.98 (((~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))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11102,plain,
% 20.65/20.99 (((~![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(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)))),
% 20.65/20.99 inference(monotonicity,[status(thm)],[11101])).
% 20.65/20.99 tff(11103,plain,
% 20.65/20.99 (((~![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(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))),
% 20.65/20.99 inference(transitivity,[status(thm)],[11102, 11100])).
% 20.65/20.99 tff(11104,plain,
% 20.65/20.99 ((~![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(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11105,plain,
% 20.65/20.99 ((~![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(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)),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11104, 11103])).
% 20.65/20.99 tff(11106,plain,
% 20.65/20.99 (node15(s133) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11105, 863, 11099])).
% 20.65/20.99 tff(11107,plain,
% 20.65/20.99 (m_main_v_turn(s134, c_1)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11106, 11095, 10932, 11000])).
% 20.65/20.99 tff(11108,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11109,plain,
% 20.65/20.99 ((~![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)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11110,plain,
% 20.65/20.99 ((~![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))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 20.65/20.99 tff(11111,plain,
% 20.65/20.99 (~m_main_v_turn(s134, c_2)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11110, 322, 11107])).
% 20.65/20.99 tff(11112,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11113,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11114,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 20.65/20.99 tff(11115,plain,
% 20.65/20.99 (~node12(s134)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11114, 350, 11111])).
% 20.65/20.99 tff(11116,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11117,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11118,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 20.65/20.99 tff(11119,plain,
% 20.65/20.99 (~node8(s134)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11118, 383, 11048])).
% 20.65/20.99 tff(11120,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11121,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11122,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 20.65/20.99 tff(11123,plain,
% 20.65/20.99 (~node9(s134)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11122, 311, 11048])).
% 20.65/20.99 tff(11124,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11125,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11126,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 20.65/20.99 tff(11127,plain,
% 20.65/20.99 (~node10(s134)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11126, 372, 11048])).
% 20.65/20.99 tff(11128,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11129,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11130,plain,
% 20.65/20.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 20.65/20.99 tff(11131,plain,
% 20.65/20.99 (~node11(s134)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11130, 361, 11068])).
% 20.65/20.99 tff(11132,plain,
% 20.65/20.99 (((~![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))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11133,plain,
% 20.65/20.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11134,plain,
% 20.65/20.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135)),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 20.65/20.99 tff(11135,plain,
% 20.65/20.99 (node14(s134, s135)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11134, 130, 11079])).
% 20.65/20.99 tff(11136,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11137,plain,
% 20.65/20.99 ((~![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)))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11138,plain,
% 20.65/20.99 ((~![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))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 20.65/20.99 tff(11139,plain,
% 20.65/20.99 (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11138, 401, 11135])).
% 20.65/20.99 tff(11140,plain,
% 20.65/20.99 (node13(s134, s135)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11139, 11131, 11056, 11127, 11123, 11119, 11115])).
% 20.65/20.99 tff(11141,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11142,plain,
% 20.65/20.99 (((~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)))),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11143,plain,
% 20.65/20.99 (((~![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))))),
% 20.65/20.99 inference(monotonicity,[status(thm)],[11142])).
% 20.65/20.99 tff(11144,plain,
% 20.65/20.99 (((~![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)))),
% 20.65/20.99 inference(transitivity,[status(thm)],[11143, 11141])).
% 20.65/20.99 tff(11145,plain,
% 20.65/20.99 ((~![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))),
% 20.65/20.99 inference(quant_inst,[status(thm)],[])).
% 20.65/20.99 tff(11146,plain,
% 20.65/20.99 ((~![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))),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 20.65/20.99 tff(11147,plain,
% 20.65/20.99 (m_main_v_state2(s135, c_t2)),
% 20.65/20.99 inference(unit_resolution,[status(thm)],[11146, 563, 11044, 11140])).
% 20.65/20.99 tff(11148,plain,
% 20.65/20.99 (succ(s135, s136) <=> succ(s135, s136)),
% 20.65/20.99 inference(rewrite,[status(thm)],[])).
% 20.65/20.99 tff(11149,axiom,(succ(s135, s136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound136')).
% 20.65/20.99 tff(11150,plain,
% 20.65/20.99 (succ(s135, s136)),
% 20.65/20.99 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 20.65/20.99 tff(11151,plain,
% 20.65/20.99 (((~![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))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11152,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11153,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11152, 11151])).
% 20.65/21.00 tff(11154,plain,
% 20.65/21.00 (trans(s135, s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11153, 11150, 57])).
% 20.65/21.00 tff(11155,plain,
% 20.65/21.00 (((~![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))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11156,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11157,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136)),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 20.65/21.00 tff(11158,plain,
% 20.65/21.00 (node7(s135, s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11157, 217, 11154])).
% 20.65/21.00 tff(11159,plain,
% 20.65/21.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11160,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11161,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1)),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11160, 11159])).
% 20.65/21.00 tff(11162,plain,
% 20.65/21.00 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_state1(s136, c_t1)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11161, 598, 11158])).
% 20.65/21.00 tff(11163,plain,
% 20.65/21.00 (m_main_v_state1(s136, c_t1)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11162, 11147, 11091])).
% 20.65/21.00 tff(11164,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11165,plain,
% 20.65/21.00 ((~![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)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11166,plain,
% 20.65/21.00 ((~![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))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11165, 11164])).
% 20.65/21.00 tff(11167,plain,
% 20.65/21.00 (~m_main_v_state1(s136, c_n1)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11166, 35, 11163])).
% 20.65/21.00 tff(11168,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11169,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11170,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 20.65/21.00 tff(11171,plain,
% 20.65/21.00 (~node1(s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11170, 249, 11167])).
% 20.65/21.00 tff(11172,plain,
% 20.65/21.00 (((~![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))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11173,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11174,plain,
% 20.65/21.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136)),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 20.65/21.00 tff(11175,plain,
% 20.65/21.00 (node18(s135, s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11174, 71, 11154])).
% 20.65/21.00 tff(11176,plain,
% 20.65/21.00 (((~![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))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11177,plain,
% 20.65/21.00 ((~![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))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11178,plain,
% 20.65/21.00 ((~![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)),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 20.65/21.00 tff(11179,plain,
% 20.65/21.00 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_turn(s136, c_2)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11178, 625, 11175])).
% 20.65/21.00 tff(11180,plain,
% 20.65/21.00 (m_main_v_turn(s136, c_2)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11179, 11147, 11091])).
% 20.65/21.00 tff(11181,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11182,plain,
% 20.65/21.00 ((~![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)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11183,plain,
% 20.65/21.00 ((~![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))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 20.65/21.00 tff(11184,plain,
% 20.65/21.00 (~m_main_v_turn(s136, c_1)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11183, 322, 11180])).
% 20.65/21.00 tff(11185,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11186,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11187,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 20.65/21.00 tff(11188,plain,
% 20.65/21.00 (~node5(s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11187, 641, 11184])).
% 20.65/21.00 tff(11189,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11190,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11191,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 20.65/21.00 tff(11192,plain,
% 20.65/21.00 (~node2(s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11191, 652, 11167])).
% 20.65/21.00 tff(11193,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11194,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11195,plain,
% 20.65/21.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 20.65/21.00 tff(11196,plain,
% 20.65/21.00 (~node3(s136)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11195, 663, 11167])).
% 20.65/21.00 tff(11197,plain,
% 20.65/21.00 (((~![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)))) <=> ((~![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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11198,plain,
% 20.65/21.00 ((~![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)))),
% 20.65/21.00 inference(quant_inst,[status(thm)],[])).
% 20.65/21.00 tff(11199,plain,
% 20.65/21.00 ((~![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))),
% 20.65/21.00 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 20.65/21.00 tff(11200,plain,
% 20.65/21.00 (~m_main_v_state1(s136, c_c1)),
% 20.65/21.00 inference(unit_resolution,[status(thm)],[11199, 289, 11163])).
% 20.65/21.00 tff(11201,plain,
% 20.65/21.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11202,plain,
% 20.65/21.00 (((~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)))),
% 20.65/21.00 inference(rewrite,[status(thm)],[])).
% 20.65/21.00 tff(11203,plain,
% 20.65/21.00 (((~![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))))),
% 20.65/21.00 inference(monotonicity,[status(thm)],[11202])).
% 20.65/21.00 tff(11204,plain,
% 20.65/21.00 (((~![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)))),
% 20.65/21.00 inference(transitivity,[status(thm)],[11203, 11201])).
% 20.65/21.00 tff(11205,plain,
% 20.65/21.00 ((~![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)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11206,plain,
% 20.65/21.01 ((~![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(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 20.65/21.01 tff(11207,plain,
% 20.65/21.01 (~m_main_v_state2(s135, c_n2)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11206, 416, 11048, 11140])).
% 20.65/21.01 tff(11208,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11209,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11210,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 20.65/21.01 tff(11211,plain,
% 20.65/21.01 (~node9(s135)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11210, 311, 11207])).
% 20.65/21.01 tff(11212,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11213,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11214,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11213, 11212])).
% 20.65/21.01 tff(11215,plain,
% 20.65/21.01 (~node10(s135)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11214, 372, 11207])).
% 20.65/21.01 tff(11216,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11217,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11218,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 20.65/21.01 tff(11219,plain,
% 20.65/21.01 (~node8(s135)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11218, 383, 11207])).
% 20.65/21.01 tff(11220,plain,
% 20.65/21.01 (((~![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))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11221,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11222,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136)),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 20.65/21.01 tff(11223,plain,
% 20.65/21.01 (node14(s135, s136)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11222, 130, 11154])).
% 20.65/21.01 tff(11224,plain,
% 20.65/21.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11225,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11226,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11225, 11224])).
% 20.65/21.01 tff(11227,plain,
% 20.65/21.01 ((~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)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11226, 704, 11223])).
% 20.65/21.01 tff(11228,plain,
% 20.65/21.01 (m_main_v_state2(s136, c_c2)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11227, 11219, 11091, 11147, 11215, 11211])).
% 20.65/21.01 tff(11229,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11230,plain,
% 20.65/21.01 ((~![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)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11231,plain,
% 20.65/21.01 ((~![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))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11230, 11229])).
% 20.65/21.01 tff(11232,plain,
% 20.65/21.01 (~m_main_v_state2(s136, c_n2)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11231, 716, 11228])).
% 20.65/21.01 tff(11233,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11234,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11235,plain,
% 20.65/21.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 20.65/21.01 tff(11236,plain,
% 20.65/21.01 (~node4(s136)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11235, 162, 11232])).
% 20.65/21.01 tff(11237,plain,
% 20.65/21.01 (succ(s136, s137) <=> succ(s136, s137)),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11238,axiom,(succ(s136, s137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound137')).
% 20.65/21.01 tff(11239,plain,
% 20.65/21.01 (succ(s136, s137)),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 20.65/21.01 tff(11240,plain,
% 20.65/21.01 (((~![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))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11241,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11242,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 20.65/21.01 tff(11243,plain,
% 20.65/21.01 (trans(s136, s137)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11242, 11239, 57])).
% 20.65/21.01 tff(11244,plain,
% 20.65/21.01 (((~![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))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11245,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11246,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137)),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11245, 11244])).
% 20.65/21.01 tff(11247,plain,
% 20.65/21.01 (node7(s136, s137)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11246, 217, 11243])).
% 20.65/21.01 tff(11248,plain,
% 20.65/21.01 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11249,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 20.65/21.01 inference(quant_inst,[status(thm)],[])).
% 20.65/21.01 tff(11250,plain,
% 20.65/21.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137))),
% 20.65/21.01 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 20.65/21.01 tff(11251,plain,
% 20.65/21.01 (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11250, 745, 11247])).
% 20.65/21.01 tff(11252,plain,
% 20.65/21.01 (node6(s136, s137)),
% 20.65/21.01 inference(unit_resolution,[status(thm)],[11251, 11236, 11200, 11196, 11192, 11188, 11171])).
% 20.65/21.01 tff(11253,plain,
% 20.65/21.01 (((~![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(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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11254,plain,
% 20.65/21.01 (((~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)))),
% 20.65/21.01 inference(rewrite,[status(thm)],[])).
% 20.65/21.01 tff(11255,plain,
% 20.65/21.01 (((~![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))))),
% 20.65/21.01 inference(monotonicity,[status(thm)],[11254])).
% 20.65/21.01 tff(11256,plain,
% 20.65/21.01 (((~![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)))),
% 20.65/21.01 inference(transitivity,[status(thm)],[11255, 11253])).
% 20.65/21.01 tff(11257,plain,
% 20.65/21.01 ((~![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))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11258,plain,
% 20.74/21.02 ((~![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(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 20.74/21.02 tff(11259,plain,
% 20.74/21.02 (m_main_v_state1(s137, c_t1)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11258, 760, 11163, 11252])).
% 20.74/21.02 tff(11260,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11261,plain,
% 20.74/21.02 ((~![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)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11262,plain,
% 20.74/21.02 ((~![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))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 20.74/21.02 tff(11263,plain,
% 20.74/21.02 (~m_main_v_state2(s136, c_t2)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11262, 173, 11228])).
% 20.74/21.02 tff(11264,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11265,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11266,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 20.74/21.02 tff(11267,plain,
% 20.74/21.02 (~node12(s136)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11266, 778, 11263])).
% 20.74/21.02 tff(11268,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11269,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11270,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 20.74/21.02 tff(11271,plain,
% 20.74/21.02 (~node11(s136)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11270, 361, 11167])).
% 20.74/21.02 tff(11272,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11273,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11274,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 20.74/21.02 tff(11275,plain,
% 20.74/21.02 (~node10(s136)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11274, 793, 11200])).
% 20.74/21.02 tff(11276,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11277,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11278,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 20.74/21.02 tff(11279,plain,
% 20.74/21.02 (~node9(s136)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11278, 804, 11167])).
% 20.74/21.02 tff(11280,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11281,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11282,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 20.74/21.02 tff(11283,plain,
% 20.74/21.02 (~node8(s136)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11282, 383, 11232])).
% 20.74/21.02 tff(11284,plain,
% 20.74/21.02 (((~![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))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11285,plain,
% 20.74/21.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11286,plain,
% 20.74/21.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137)),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 20.74/21.02 tff(11287,plain,
% 20.74/21.02 (node14(s136, s137)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11286, 130, 11243])).
% 20.74/21.02 tff(11288,plain,
% 20.74/21.02 (((~![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(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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11289,plain,
% 20.74/21.02 (((~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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11290,plain,
% 20.74/21.02 (((~![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(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))))),
% 20.74/21.02 inference(monotonicity,[status(thm)],[11289])).
% 20.74/21.02 tff(11291,plain,
% 20.74/21.02 (((~![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(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)))),
% 20.74/21.02 inference(transitivity,[status(thm)],[11290, 11288])).
% 20.74/21.02 tff(11292,plain,
% 20.74/21.02 ((~![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(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11293,plain,
% 20.74/21.02 ((~![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(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 20.74/21.02 tff(11294,plain,
% 20.74/21.02 (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~m_main_v_state2(s136, c_c2))),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11293, 826, 11287])).
% 20.74/21.02 tff(11295,plain,
% 20.74/21.02 (m_main_v_state2(s137, c_n2)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11294, 11283, 11228, 11279, 11275, 11271, 11267])).
% 20.74/21.02 tff(11296,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11297,plain,
% 20.74/21.02 ((~![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)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11298,plain,
% 20.74/21.02 ((~![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))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 20.74/21.02 tff(11299,plain,
% 20.74/21.02 (~m_main_v_state2(s137, c_t2)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11298, 10, 11295])).
% 20.74/21.02 tff(11300,plain,
% 20.74/21.02 (((~![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)))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11301,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11302,plain,
% 20.74/21.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137))),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11301, 11300])).
% 20.74/21.02 tff(11303,plain,
% 20.74/21.02 (~node15(s137)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11302, 21, 11299])).
% 20.74/21.02 tff(11304,plain,
% 20.74/21.02 (succ(s137, s138) <=> succ(s137, s138)),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11305,axiom,(succ(s137, s138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound138')).
% 20.74/21.02 tff(11306,plain,
% 20.74/21.02 (succ(s137, s138)),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 20.74/21.02 tff(11307,plain,
% 20.74/21.02 (((~![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))),
% 20.74/21.02 inference(rewrite,[status(thm)],[])).
% 20.74/21.02 tff(11308,plain,
% 20.74/21.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 20.74/21.02 inference(quant_inst,[status(thm)],[])).
% 20.74/21.02 tff(11309,plain,
% 20.74/21.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 20.74/21.02 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 20.74/21.02 tff(11310,plain,
% 20.74/21.02 (trans(s137, s138)),
% 20.74/21.02 inference(unit_resolution,[status(thm)],[11309, 11306, 57])).
% 20.74/21.02 tff(11311,plain,
% 20.74/21.02 (((~![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))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11312,plain,
% 20.74/21.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11313,plain,
% 20.74/21.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138)),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 20.74/21.03 tff(11314,plain,
% 20.74/21.03 (node18(s137, s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11313, 71, 11310])).
% 20.74/21.03 tff(11315,plain,
% 20.74/21.03 (((~![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(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))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11316,plain,
% 20.74/21.03 (((~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))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11317,plain,
% 20.74/21.03 (((~![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(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)))),
% 20.74/21.03 inference(monotonicity,[status(thm)],[11316])).
% 20.74/21.03 tff(11318,plain,
% 20.74/21.03 (((~![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(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))),
% 20.74/21.03 inference(transitivity,[status(thm)],[11317, 11315])).
% 20.74/21.03 tff(11319,plain,
% 20.74/21.03 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11320,plain,
% 20.74/21.03 ((~![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(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)),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 20.74/21.03 tff(11321,plain,
% 20.74/21.03 (node15(s137) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11320, 863, 11314])).
% 20.74/21.03 tff(11322,plain,
% 20.74/21.03 (m_main_v_turn(s138, c_1)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11321, 11303, 11295, 11259])).
% 20.74/21.03 tff(11323,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11324,plain,
% 20.74/21.03 ((~![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)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11325,plain,
% 20.74/21.03 ((~![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))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 20.74/21.03 tff(11326,plain,
% 20.74/21.03 (~m_main_v_turn(s138, c_2)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11325, 322, 11322])).
% 20.74/21.03 tff(11327,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11328,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11329,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 20.74/21.03 tff(11330,plain,
% 20.74/21.03 (~node12(s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11329, 350, 11326])).
% 20.74/21.03 tff(11331,plain,
% 20.74/21.03 (((~![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))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11332,plain,
% 20.74/21.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11333,plain,
% 20.74/21.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138)),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 20.74/21.03 tff(11334,plain,
% 20.74/21.03 (node14(s137, s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11333, 130, 11310])).
% 20.74/21.03 tff(11335,plain,
% 20.74/21.03 (((~![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(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))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11336,plain,
% 20.74/21.03 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11337,plain,
% 20.74/21.03 ((~![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(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2)),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 20.74/21.03 tff(11338,plain,
% 20.74/21.03 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state2(s138, c_t2)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11337, 893, 11334])).
% 20.74/21.03 tff(11339,plain,
% 20.74/21.03 (m_main_v_state2(s138, c_t2)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11338, 11259, 11295])).
% 20.74/21.03 tff(11340,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11341,plain,
% 20.74/21.03 ((~![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)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11342,plain,
% 20.74/21.03 ((~![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))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 20.74/21.03 tff(11343,plain,
% 20.74/21.03 (~m_main_v_state2(s138, c_n2)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11342, 10, 11339])).
% 20.74/21.03 tff(11344,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11345,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11346,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 20.74/21.03 tff(11347,plain,
% 20.74/21.03 (~node8(s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11346, 383, 11343])).
% 20.74/21.03 tff(11348,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11349,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11350,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 20.74/21.03 tff(11351,plain,
% 20.74/21.03 (~node9(s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11350, 311, 11343])).
% 20.74/21.03 tff(11352,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11353,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11354,plain,
% 20.74/21.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11353, 11352])).
% 20.74/21.03 tff(11355,plain,
% 20.74/21.03 (~node10(s138)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11354, 372, 11343])).
% 20.74/21.03 tff(11356,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11357,plain,
% 20.74/21.03 ((~![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)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.03 tff(11358,plain,
% 20.74/21.03 ((~![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))),
% 20.74/21.03 inference(modus_ponens,[status(thm)],[11357, 11356])).
% 20.74/21.03 tff(11359,plain,
% 20.74/21.03 (~m_main_v_state2(s138, c_c2)),
% 20.74/21.03 inference(unit_resolution,[status(thm)],[11358, 173, 11339])).
% 20.74/21.03 tff(11360,plain,
% 20.74/21.03 (((~![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)))),
% 20.74/21.03 inference(rewrite,[status(thm)],[])).
% 20.74/21.03 tff(11361,plain,
% 20.74/21.03 ((~![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)))),
% 20.74/21.03 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11362,plain,
% 20.74/21.04 ((~![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))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11361, 11360])).
% 20.74/21.04 tff(11363,plain,
% 20.74/21.04 (~m_main_v_state2(s137, c_c2)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11362, 716, 11295])).
% 20.74/21.04 tff(11364,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11365,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11366,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 20.74/21.04 tff(11367,plain,
% 20.74/21.04 (~node3(s137)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11366, 184, 11363])).
% 20.74/21.04 tff(11368,plain,
% 20.74/21.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11369,plain,
% 20.74/21.04 (((~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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11370,plain,
% 20.74/21.04 (((~![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))))),
% 20.74/21.04 inference(monotonicity,[status(thm)],[11369])).
% 20.74/21.04 tff(11371,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(transitivity,[status(thm)],[11370, 11368])).
% 20.74/21.04 tff(11372,plain,
% 20.74/21.04 ((~![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)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11373,plain,
% 20.74/21.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 20.74/21.04 tff(11374,plain,
% 20.74/21.04 (~m_main_v_state1(s137, c_n1)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11373, 936, 11167, 11252])).
% 20.74/21.04 tff(11375,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11376,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11377,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 20.74/21.04 tff(11378,plain,
% 20.74/21.04 (~node2(s137)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11377, 652, 11374])).
% 20.74/21.04 tff(11379,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11380,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11381,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 20.74/21.04 tff(11382,plain,
% 20.74/21.04 (~node1(s137)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11381, 206, 11299])).
% 20.74/21.04 tff(11383,plain,
% 20.74/21.04 (((~![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))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11384,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11385,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138)),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 20.74/21.04 tff(11386,plain,
% 20.74/21.04 (node7(s137, s138)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11385, 217, 11310])).
% 20.74/21.04 tff(11387,plain,
% 20.74/21.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11388,plain,
% 20.74/21.04 (((~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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11389,plain,
% 20.74/21.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.74/21.04 inference(monotonicity,[status(thm)],[11388])).
% 20.74/21.04 tff(11390,plain,
% 20.74/21.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.74/21.04 inference(transitivity,[status(thm)],[11389, 11387])).
% 20.74/21.04 tff(11391,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11392,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 20.74/21.04 tff(11393,plain,
% 20.74/21.04 ((~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)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11392, 965, 11386])).
% 20.74/21.04 tff(11394,plain,
% 20.74/21.04 (m_main_v_state1(s138, c_c1)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11393, 11382, 11295, 11259, 11378, 11367])).
% 20.74/21.04 tff(11395,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11396,plain,
% 20.74/21.04 ((~![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)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11397,plain,
% 20.74/21.04 ((~![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))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11396, 11395])).
% 20.74/21.04 tff(11398,plain,
% 20.74/21.04 (~m_main_v_state1(s138, c_n1)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11397, 449, 11394])).
% 20.74/21.04 tff(11399,plain,
% 20.74/21.04 (((~![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)))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11400,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11401,plain,
% 20.74/21.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138))),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 20.74/21.04 tff(11402,plain,
% 20.74/21.04 (~node11(s138)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11401, 361, 11398])).
% 20.74/21.04 tff(11403,plain,
% 20.74/21.04 (succ(s138, s139) <=> succ(s138, s139)),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11404,axiom,(succ(s138, s139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound139')).
% 20.74/21.04 tff(11405,plain,
% 20.74/21.04 (succ(s138, s139)),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 20.74/21.04 tff(11406,plain,
% 20.74/21.04 (((~![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))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11407,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 20.74/21.04 inference(quant_inst,[status(thm)],[])).
% 20.74/21.04 tff(11408,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 20.74/21.04 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 20.74/21.04 tff(11409,plain,
% 20.74/21.04 (trans(s138, s139)),
% 20.74/21.04 inference(unit_resolution,[status(thm)],[11408, 11405, 57])).
% 20.74/21.04 tff(11410,plain,
% 20.74/21.04 (((~![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))),
% 20.74/21.04 inference(rewrite,[status(thm)],[])).
% 20.74/21.04 tff(11411,plain,
% 20.74/21.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11412,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139)),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11411, 11410])).
% 20.74/21.05 tff(11413,plain,
% 20.74/21.05 (node14(s138, s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11412, 130, 11409])).
% 20.74/21.05 tff(11414,plain,
% 20.74/21.05 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11415,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11416,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 20.74/21.05 tff(11417,plain,
% 20.74/21.05 (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11416, 401, 11413])).
% 20.74/21.05 tff(11418,plain,
% 20.74/21.05 (node13(s138, s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11417, 11402, 11359, 11355, 11351, 11347, 11330])).
% 20.74/21.05 tff(11419,plain,
% 20.74/21.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11420,plain,
% 20.74/21.05 (((~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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11421,plain,
% 20.74/21.05 (((~![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))))),
% 20.74/21.05 inference(monotonicity,[status(thm)],[11420])).
% 20.74/21.05 tff(11422,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(transitivity,[status(thm)],[11421, 11419])).
% 20.74/21.05 tff(11423,plain,
% 20.74/21.05 ((~![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)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11424,plain,
% 20.74/21.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 20.74/21.05 tff(11425,plain,
% 20.74/21.05 (~m_main_v_state2(s139, c_n2)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11424, 416, 11343, 11418])).
% 20.74/21.05 tff(11426,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11427,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11428,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11427, 11426])).
% 20.74/21.05 tff(11429,plain,
% 20.74/21.05 (~node9(s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11428, 311, 11425])).
% 20.74/21.05 tff(11430,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11431,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11432,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11431, 11430])).
% 20.74/21.05 tff(11433,plain,
% 20.74/21.05 (~node10(s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11432, 372, 11425])).
% 20.74/21.05 tff(11434,plain,
% 20.74/21.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11435,plain,
% 20.74/21.05 (((~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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11436,plain,
% 20.74/21.05 (((~![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))))),
% 20.74/21.05 inference(monotonicity,[status(thm)],[11435])).
% 20.74/21.05 tff(11437,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(transitivity,[status(thm)],[11436, 11434])).
% 20.74/21.05 tff(11438,plain,
% 20.74/21.05 ((~![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))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11439,plain,
% 20.74/21.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11438, 11437])).
% 20.74/21.05 tff(11440,plain,
% 20.74/21.05 (m_main_v_state2(s139, c_t2)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11439, 563, 11339, 11418])).
% 20.74/21.05 tff(11441,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11442,plain,
% 20.74/21.05 ((~![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)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11443,plain,
% 20.74/21.05 ((~![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))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11442, 11441])).
% 20.74/21.05 tff(11444,plain,
% 20.74/21.05 (~m_main_v_state1(s138, c_t1)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11443, 289, 11394])).
% 20.74/21.05 tff(11445,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11446,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11447,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11446, 11445])).
% 20.74/21.05 tff(11448,plain,
% 20.74/21.05 (~node5(s138)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11447, 300, 11444])).
% 20.74/21.05 tff(11449,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11450,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11451,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11450, 11449])).
% 20.74/21.05 tff(11452,plain,
% 20.74/21.05 (~node4(s138)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11451, 162, 11343])).
% 20.74/21.05 tff(11453,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11454,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11455,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 20.74/21.05 tff(11456,plain,
% 20.74/21.05 (~node3(s138)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11455, 184, 11359])).
% 20.74/21.05 tff(11457,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11458,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11459,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11458, 11457])).
% 20.74/21.05 tff(11460,plain,
% 20.74/21.05 (~node2(s138)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11459, 195, 11343])).
% 20.74/21.05 tff(11461,plain,
% 20.74/21.05 (((~![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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11462,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11463,plain,
% 20.74/21.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138))),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 20.74/21.05 tff(11464,plain,
% 20.74/21.05 (~node1(s138)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11463, 249, 11398])).
% 20.74/21.05 tff(11465,plain,
% 20.74/21.05 (((~![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))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11466,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11467,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139)),
% 20.74/21.05 inference(modus_ponens,[status(thm)],[11466, 11465])).
% 20.74/21.05 tff(11468,plain,
% 20.74/21.05 (node7(s138, s139)),
% 20.74/21.05 inference(unit_resolution,[status(thm)],[11467, 217, 11409])).
% 20.74/21.05 tff(11469,plain,
% 20.74/21.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11470,plain,
% 20.74/21.05 (((~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)))),
% 20.74/21.05 inference(rewrite,[status(thm)],[])).
% 20.74/21.05 tff(11471,plain,
% 20.74/21.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 20.74/21.05 inference(monotonicity,[status(thm)],[11470])).
% 20.74/21.05 tff(11472,plain,
% 20.74/21.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 20.74/21.05 inference(transitivity,[status(thm)],[11471, 11469])).
% 20.74/21.05 tff(11473,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))),
% 20.74/21.05 inference(quant_inst,[status(thm)],[])).
% 20.74/21.05 tff(11474,plain,
% 20.74/21.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 20.74/21.06 tff(11475,plain,
% 20.74/21.06 (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11474, 478, 11468])).
% 20.74/21.06 tff(11476,plain,
% 20.74/21.06 (m_main_v_state1(s139, c_n1)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11475, 11464, 11394, 11460, 11456, 11452, 11448])).
% 20.74/21.06 tff(11477,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11478,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11479,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11478, 11477])).
% 20.74/21.06 tff(11480,plain,
% 20.74/21.06 (~node8(s139)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11479, 383, 11425])).
% 20.74/21.06 tff(11481,plain,
% 20.74/21.06 (succ(s139, s140) <=> succ(s139, s140)),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11482,axiom,(succ(s139, s140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound140')).
% 20.74/21.06 tff(11483,plain,
% 20.74/21.06 (succ(s139, s140)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11482, 11481])).
% 20.74/21.06 tff(11484,plain,
% 20.74/21.06 (((~![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))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11485,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11486,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 20.74/21.06 tff(11487,plain,
% 20.74/21.06 (trans(s139, s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11486, 11483, 57])).
% 20.74/21.06 tff(11488,plain,
% 20.74/21.06 (((~![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))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11489,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11490,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 20.74/21.06 tff(11491,plain,
% 20.74/21.06 (node14(s139, s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11490, 130, 11487])).
% 20.74/21.06 tff(11492,plain,
% 20.74/21.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11493,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11494,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11493, 11492])).
% 20.74/21.06 tff(11495,plain,
% 20.74/21.06 ((~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)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11494, 704, 11491])).
% 20.74/21.06 tff(11496,plain,
% 20.74/21.06 (m_main_v_state2(s140, c_c2)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11495, 11480, 11476, 11440, 11433, 11429])).
% 20.74/21.06 tff(11497,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11498,plain,
% 20.74/21.06 ((~![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)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11499,plain,
% 20.74/21.06 ((~![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))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 20.74/21.06 tff(11500,plain,
% 20.74/21.06 (~m_main_v_state2(s140, c_t2)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11499, 173, 11496])).
% 20.74/21.06 tff(11501,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11502,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11503,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 20.74/21.06 tff(11504,plain,
% 20.74/21.06 (~node12(s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11503, 778, 11500])).
% 20.74/21.06 tff(11505,plain,
% 20.74/21.06 (((~![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))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11506,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11507,plain,
% 20.74/21.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11506, 11505])).
% 20.74/21.06 tff(11508,plain,
% 20.74/21.06 (node7(s139, s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11507, 217, 11487])).
% 20.74/21.06 tff(11509,plain,
% 20.74/21.06 (((~![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(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))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11510,plain,
% 20.74/21.06 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11511,plain,
% 20.74/21.06 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1)),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11510, 11509])).
% 20.74/21.06 tff(11512,plain,
% 20.74/21.06 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_state1(s140, c_t1)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11511, 598, 11508])).
% 20.74/21.06 tff(11513,plain,
% 20.74/21.06 (m_main_v_state1(s140, c_t1)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11512, 11440, 11476])).
% 20.74/21.06 tff(11514,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11515,plain,
% 20.74/21.06 ((~![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)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11516,plain,
% 20.74/21.06 ((~![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))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 20.74/21.06 tff(11517,plain,
% 20.74/21.06 (~m_main_v_state1(s140, c_n1)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11516, 35, 11513])).
% 20.74/21.06 tff(11518,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11519,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11520,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 20.74/21.06 tff(11521,plain,
% 20.74/21.06 (~node11(s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11520, 361, 11517])).
% 20.74/21.06 tff(11522,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11523,plain,
% 20.74/21.06 ((~![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)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11524,plain,
% 20.74/21.06 ((~![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))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 20.74/21.06 tff(11525,plain,
% 20.74/21.06 (~m_main_v_state1(s140, c_c1)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11524, 289, 11513])).
% 20.74/21.06 tff(11526,plain,
% 20.74/21.06 (((~![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)))),
% 20.74/21.06 inference(rewrite,[status(thm)],[])).
% 20.74/21.06 tff(11527,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 20.74/21.06 inference(quant_inst,[status(thm)],[])).
% 20.74/21.06 tff(11528,plain,
% 20.74/21.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140))),
% 20.74/21.06 inference(modus_ponens,[status(thm)],[11527, 11526])).
% 20.74/21.06 tff(11529,plain,
% 20.74/21.06 (~node10(s140)),
% 20.74/21.06 inference(unit_resolution,[status(thm)],[11528, 793, 11525])).
% 20.74/21.07 tff(11530,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11531,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11532,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11531, 11530])).
% 20.74/21.07 tff(11533,plain,
% 20.74/21.07 (~node9(s140)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11532, 804, 11517])).
% 20.74/21.07 tff(11534,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11535,plain,
% 20.74/21.07 ((~![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)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11536,plain,
% 20.74/21.07 ((~![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))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11535, 11534])).
% 20.74/21.07 tff(11537,plain,
% 20.74/21.07 (~m_main_v_state2(s140, c_n2)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11536, 716, 11496])).
% 20.74/21.07 tff(11538,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11539,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11540,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 20.74/21.07 tff(11541,plain,
% 20.74/21.07 (~node8(s140)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11540, 383, 11537])).
% 20.74/21.07 tff(11542,plain,
% 20.74/21.07 (succ(s140, s141) <=> succ(s140, s141)),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11543,axiom,(succ(s140, s141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound141')).
% 20.74/21.07 tff(11544,plain,
% 20.74/21.07 (succ(s140, s141)),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 20.74/21.07 tff(11545,plain,
% 20.74/21.07 (((~![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))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11546,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11547,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 20.74/21.07 tff(11548,plain,
% 20.74/21.07 (trans(s140, s141)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11547, 11544, 57])).
% 20.74/21.07 tff(11549,plain,
% 20.74/21.07 (((~![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))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11550,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11551,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141)),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 20.74/21.07 tff(11552,plain,
% 20.74/21.07 (node14(s140, s141)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11551, 130, 11548])).
% 20.74/21.07 tff(11553,plain,
% 20.74/21.07 (((~![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(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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11554,plain,
% 20.74/21.07 (((~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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11555,plain,
% 20.74/21.07 (((~![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(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))))),
% 20.74/21.07 inference(monotonicity,[status(thm)],[11554])).
% 20.74/21.07 tff(11556,plain,
% 20.74/21.07 (((~![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(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)))),
% 20.74/21.07 inference(transitivity,[status(thm)],[11555, 11553])).
% 20.74/21.07 tff(11557,plain,
% 20.74/21.07 ((~![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(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11558,plain,
% 20.74/21.07 ((~![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(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 20.74/21.07 tff(11559,plain,
% 20.74/21.07 (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~m_main_v_state2(s140, c_c2))),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11558, 826, 11552])).
% 20.74/21.07 tff(11560,plain,
% 20.74/21.07 (m_main_v_state2(s141, c_n2)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11559, 11541, 11496, 11533, 11529, 11521, 11504])).
% 20.74/21.07 tff(11561,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11562,plain,
% 20.74/21.07 ((~![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)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11563,plain,
% 20.74/21.07 ((~![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))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11562, 11561])).
% 20.74/21.07 tff(11564,plain,
% 20.74/21.07 (~m_main_v_state2(s141, c_c2)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11563, 716, 11560])).
% 20.74/21.07 tff(11565,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11566,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11567,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11566, 11565])).
% 20.74/21.07 tff(11568,plain,
% 20.74/21.07 (~node3(s141)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11567, 184, 11564])).
% 20.74/21.07 tff(11569,plain,
% 20.74/21.07 (((~![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)))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11570,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11571,plain,
% 20.74/21.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140))),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 20.74/21.07 tff(11572,plain,
% 20.74/21.07 (~node1(s140)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11571, 249, 11517])).
% 20.74/21.07 tff(11573,plain,
% 20.74/21.07 (((~![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))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11574,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11575,plain,
% 20.74/21.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140)),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11574, 11573])).
% 20.74/21.07 tff(11576,plain,
% 20.74/21.07 (node18(s139, s140)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11575, 71, 11487])).
% 20.74/21.07 tff(11577,plain,
% 20.74/21.07 (((~![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(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))),
% 20.74/21.07 inference(rewrite,[status(thm)],[])).
% 20.74/21.07 tff(11578,plain,
% 20.74/21.07 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 20.74/21.07 inference(quant_inst,[status(thm)],[])).
% 20.74/21.07 tff(11579,plain,
% 20.74/21.07 ((~![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(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2)),
% 20.74/21.07 inference(modus_ponens,[status(thm)],[11578, 11577])).
% 20.74/21.07 tff(11580,plain,
% 20.74/21.07 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_turn(s140, c_2)),
% 20.74/21.07 inference(unit_resolution,[status(thm)],[11579, 625, 11576])).
% 20.74/21.08 tff(11581,plain,
% 20.74/21.08 (m_main_v_turn(s140, c_2)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11580, 11440, 11476])).
% 20.74/21.08 tff(11582,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11583,plain,
% 20.74/21.08 ((~![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)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11584,plain,
% 20.74/21.08 ((~![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))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 20.74/21.08 tff(11585,plain,
% 20.74/21.08 (~m_main_v_turn(s140, c_1)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11584, 322, 11581])).
% 20.74/21.08 tff(11586,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11587,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11588,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 20.74/21.08 tff(11589,plain,
% 20.74/21.08 (~node5(s140)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11588, 641, 11585])).
% 20.74/21.08 tff(11590,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11591,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11592,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 20.74/21.08 tff(11593,plain,
% 20.74/21.08 (~node2(s140)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11592, 652, 11517])).
% 20.74/21.08 tff(11594,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11595,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11596,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 20.74/21.08 tff(11597,plain,
% 20.74/21.08 (~node3(s140)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11596, 663, 11517])).
% 20.74/21.08 tff(11598,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11599,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11600,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 20.74/21.08 tff(11601,plain,
% 20.74/21.08 (~node4(s140)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11600, 162, 11537])).
% 20.74/21.08 tff(11602,plain,
% 20.74/21.08 (((~![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))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11603,plain,
% 20.74/21.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11604,plain,
% 20.74/21.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141)),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 20.74/21.08 tff(11605,plain,
% 20.74/21.08 (node7(s140, s141)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11604, 217, 11548])).
% 20.74/21.08 tff(11606,plain,
% 20.74/21.08 (((~![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(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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11607,plain,
% 20.74/21.08 ((~![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(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11608,plain,
% 20.74/21.08 ((~![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(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 20.74/21.08 tff(11609,plain,
% 20.74/21.08 (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11608, 745, 11605])).
% 20.74/21.08 tff(11610,plain,
% 20.74/21.08 (node6(s140, s141)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11609, 11601, 11525, 11597, 11593, 11589, 11572])).
% 20.74/21.08 tff(11611,plain,
% 20.74/21.08 (((~![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(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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11612,plain,
% 20.74/21.08 (((~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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11613,plain,
% 20.74/21.08 (((~![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))))),
% 20.74/21.08 inference(monotonicity,[status(thm)],[11612])).
% 20.74/21.08 tff(11614,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(transitivity,[status(thm)],[11613, 11611])).
% 20.74/21.08 tff(11615,plain,
% 20.74/21.08 ((~![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)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11616,plain,
% 20.74/21.08 ((~![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(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 20.74/21.08 tff(11617,plain,
% 20.74/21.08 (~m_main_v_state1(s141, c_n1)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11616, 936, 11517, 11610])).
% 20.74/21.08 tff(11618,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11619,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11620,plain,
% 20.74/21.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 20.74/21.08 tff(11621,plain,
% 20.74/21.08 (~node2(s141)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11620, 652, 11617])).
% 20.74/21.08 tff(11622,plain,
% 20.74/21.08 (((~![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(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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11623,plain,
% 20.74/21.08 (((~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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11624,plain,
% 20.74/21.08 (((~![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))))),
% 20.74/21.08 inference(monotonicity,[status(thm)],[11623])).
% 20.74/21.08 tff(11625,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(transitivity,[status(thm)],[11624, 11622])).
% 20.74/21.08 tff(11626,plain,
% 20.74/21.08 ((~![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))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11627,plain,
% 20.74/21.08 ((~![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(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))),
% 20.74/21.08 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 20.74/21.08 tff(11628,plain,
% 20.74/21.08 (m_main_v_state1(s141, c_t1)),
% 20.74/21.08 inference(unit_resolution,[status(thm)],[11627, 760, 11513, 11610])).
% 20.74/21.08 tff(11629,plain,
% 20.74/21.08 (((~![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)))),
% 20.74/21.08 inference(rewrite,[status(thm)],[])).
% 20.74/21.08 tff(11630,plain,
% 20.74/21.08 ((~![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)))),
% 20.74/21.08 inference(quant_inst,[status(thm)],[])).
% 20.74/21.08 tff(11631,plain,
% 20.74/21.08 ((~![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))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 20.74/21.09 tff(11632,plain,
% 20.74/21.09 (~m_main_v_state2(s141, c_t2)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11631, 10, 11560])).
% 20.74/21.09 tff(11633,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11634,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11635,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 20.74/21.09 tff(11636,plain,
% 20.74/21.09 (~node1(s141)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11635, 206, 11632])).
% 20.74/21.09 tff(11637,plain,
% 20.74/21.09 (succ(s141, s142) <=> succ(s141, s142)),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11638,axiom,(succ(s141, s142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound142')).
% 20.74/21.09 tff(11639,plain,
% 20.74/21.09 (succ(s141, s142)),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 20.74/21.09 tff(11640,plain,
% 20.74/21.09 (((~![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))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11641,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11642,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11641, 11640])).
% 20.74/21.09 tff(11643,plain,
% 20.74/21.09 (trans(s141, s142)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11642, 11639, 57])).
% 20.74/21.09 tff(11644,plain,
% 20.74/21.09 (((~![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))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11645,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11646,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142)),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11645, 11644])).
% 20.74/21.09 tff(11647,plain,
% 20.74/21.09 (node7(s141, s142)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11646, 217, 11643])).
% 20.74/21.09 tff(11648,plain,
% 20.74/21.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11649,plain,
% 20.74/21.09 (((~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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11650,plain,
% 20.74/21.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 20.74/21.09 inference(monotonicity,[status(thm)],[11649])).
% 20.74/21.09 tff(11651,plain,
% 20.74/21.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 20.74/21.09 inference(transitivity,[status(thm)],[11650, 11648])).
% 20.74/21.09 tff(11652,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11653,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 20.74/21.09 tff(11654,plain,
% 20.74/21.09 ((~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)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11653, 965, 11647])).
% 20.74/21.09 tff(11655,plain,
% 20.74/21.09 (m_main_v_state1(s142, c_c1)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11654, 11636, 11560, 11628, 11621, 11568])).
% 20.74/21.09 tff(11656,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11657,plain,
% 20.74/21.09 ((~![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)))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11658,plain,
% 20.74/21.09 ((~![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))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 20.74/21.09 tff(11659,plain,
% 20.74/21.09 (~m_main_v_state1(s142, c_t1)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11658, 289, 11655])).
% 20.74/21.09 tff(11660,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11661,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11662,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 20.74/21.09 tff(11663,plain,
% 20.74/21.09 (~node5(s142)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11662, 300, 11659])).
% 20.74/21.09 tff(11664,plain,
% 20.74/21.09 (((~![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))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11665,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11666,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142)),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11665, 11664])).
% 20.74/21.09 tff(11667,plain,
% 20.74/21.09 (node14(s141, s142)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11666, 130, 11643])).
% 20.74/21.09 tff(11668,plain,
% 20.74/21.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11669,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11670,plain,
% 20.74/21.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2)),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11669, 11668])).
% 20.74/21.09 tff(11671,plain,
% 20.74/21.09 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state2(s142, c_t2)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11670, 893, 11667])).
% 20.74/21.09 tff(11672,plain,
% 20.74/21.09 (m_main_v_state2(s142, c_t2)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11671, 11628, 11560])).
% 20.74/21.09 tff(11673,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11674,plain,
% 20.74/21.09 ((~![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)))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11675,plain,
% 20.74/21.09 ((~![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))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 20.74/21.09 tff(11676,plain,
% 20.74/21.09 (~m_main_v_state2(s142, c_n2)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11675, 10, 11672])).
% 20.74/21.09 tff(11677,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.09 tff(11678,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 20.74/21.09 inference(quant_inst,[status(thm)],[])).
% 20.74/21.09 tff(11679,plain,
% 20.74/21.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142))),
% 20.74/21.09 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 20.74/21.09 tff(11680,plain,
% 20.74/21.09 (~node4(s142)),
% 20.74/21.09 inference(unit_resolution,[status(thm)],[11679, 162, 11676])).
% 20.74/21.09 tff(11681,plain,
% 20.74/21.09 (((~![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)))),
% 20.74/21.09 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11682,plain,
% 20.74/21.10 ((~![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)))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11683,plain,
% 20.74/21.10 ((~![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))),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 20.74/21.10 tff(11684,plain,
% 20.74/21.10 (~m_main_v_state2(s142, c_c2)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11683, 173, 11672])).
% 20.74/21.10 tff(11685,plain,
% 20.74/21.10 (((~![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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11686,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11687,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142))),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 20.74/21.10 tff(11688,plain,
% 20.74/21.10 (~node3(s142)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11687, 184, 11684])).
% 20.74/21.10 tff(11689,plain,
% 20.74/21.10 (((~![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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11690,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11691,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142))),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 20.74/21.10 tff(11692,plain,
% 20.74/21.10 (~node2(s142)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11691, 195, 11676])).
% 20.74/21.10 tff(11693,plain,
% 20.74/21.10 (((~![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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11694,plain,
% 20.74/21.10 ((~![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)))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11695,plain,
% 20.74/21.10 ((~![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))),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 20.74/21.10 tff(11696,plain,
% 20.74/21.10 (~m_main_v_state1(s142, c_n1)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11695, 449, 11655])).
% 20.74/21.10 tff(11697,plain,
% 20.74/21.10 (((~![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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11698,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11699,plain,
% 20.74/21.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142))),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11698, 11697])).
% 20.74/21.10 tff(11700,plain,
% 20.74/21.10 (~node1(s142)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11699, 249, 11696])).
% 20.74/21.10 tff(11701,plain,
% 20.74/21.10 (succ(s142, s143) <=> succ(s142, s143)),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11702,axiom,(succ(s142, s143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound143')).
% 20.74/21.10 tff(11703,plain,
% 20.74/21.10 (succ(s142, s143)),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 20.74/21.10 tff(11704,plain,
% 20.74/21.10 (((~![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))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11705,plain,
% 20.74/21.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11706,plain,
% 20.74/21.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11705, 11704])).
% 20.74/21.10 tff(11707,plain,
% 20.74/21.10 (trans(s142, s143)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11706, 11703, 57])).
% 20.74/21.10 tff(11708,plain,
% 20.74/21.10 (((~![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))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11709,plain,
% 20.74/21.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))),
% 20.74/21.10 inference(quant_inst,[status(thm)],[])).
% 20.74/21.10 tff(11710,plain,
% 20.74/21.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143)),
% 20.74/21.10 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 20.74/21.10 tff(11711,plain,
% 20.74/21.10 (node7(s142, s143)),
% 20.74/21.10 inference(unit_resolution,[status(thm)],[11710, 217, 11707])).
% 20.74/21.10 tff(11712,plain,
% 20.74/21.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11713,plain,
% 20.74/21.10 (((~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)))),
% 20.74/21.10 inference(rewrite,[status(thm)],[])).
% 20.74/21.10 tff(11714,plain,
% 20.74/21.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 20.74/21.10 inference(monotonicity,[status(thm)],[11713])).
% 20.74/21.10 tff(11715,plain,
% 20.74/21.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 20.74/21.10 inference(transitivity,[status(thm)],[11714, 11712])).
% 20.74/21.10 tff(11716,plain,
% 20.74/21.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))),
% 20.83/21.10 inference(quant_inst,[status(thm)],[])).
% 20.83/21.10 tff(11717,plain,
% 20.83/21.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))),
% 20.83/21.10 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 20.83/21.10 tff(11718,plain,
% 20.83/21.10 (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142)),
% 20.83/21.10 inference(unit_resolution,[status(thm)],[11717, 478, 11711])).
% 20.83/21.10 tff(11719,plain,
% 20.83/21.10 (m_main_v_state1(s143, c_n1)),
% 20.83/21.10 inference(unit_resolution,[status(thm)],[11718, 11700, 11655, 11692, 11688, 11680, 11663])).
% 20.83/21.10 tff(11720,plain,
% 20.83/21.10 (((~![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)))),
% 20.83/21.10 inference(rewrite,[status(thm)],[])).
% 20.83/21.10 tff(11721,plain,
% 20.83/21.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 20.83/21.10 inference(quant_inst,[status(thm)],[])).
% 20.83/21.10 tff(11722,plain,
% 20.83/21.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141))),
% 20.83/21.10 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 20.83/21.10 tff(11723,plain,
% 20.83/21.10 (~node15(s141)),
% 20.83/21.10 inference(unit_resolution,[status(thm)],[11722, 21, 11632])).
% 20.83/21.10 tff(11724,plain,
% 20.83/21.10 (((~![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))),
% 20.83/21.10 inference(rewrite,[status(thm)],[])).
% 20.83/21.10 tff(11725,plain,
% 20.83/21.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))),
% 20.83/21.10 inference(quant_inst,[status(thm)],[])).
% 20.83/21.10 tff(11726,plain,
% 20.83/21.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142)),
% 20.83/21.10 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 20.83/21.10 tff(11727,plain,
% 20.83/21.10 (node18(s141, s142)),
% 20.83/21.10 inference(unit_resolution,[status(thm)],[11726, 71, 11643])).
% 20.83/21.10 tff(11728,plain,
% 20.83/21.10 (((~![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(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))),
% 20.83/21.10 inference(rewrite,[status(thm)],[])).
% 20.83/21.10 tff(11729,plain,
% 20.83/21.10 (((~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))),
% 20.83/21.10 inference(rewrite,[status(thm)],[])).
% 20.83/21.10 tff(11730,plain,
% 20.83/21.10 (((~![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(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)))),
% 20.83/21.10 inference(monotonicity,[status(thm)],[11729])).
% 20.83/21.10 tff(11731,plain,
% 20.83/21.10 (((~![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(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))),
% 20.83/21.11 inference(transitivity,[status(thm)],[11730, 11728])).
% 20.83/21.11 tff(11732,plain,
% 20.83/21.11 ((~![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(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11733,plain,
% 20.83/21.11 ((~![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(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)),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11732, 11731])).
% 20.83/21.11 tff(11734,plain,
% 20.83/21.11 (node15(s141) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11733, 863, 11727])).
% 20.83/21.11 tff(11735,plain,
% 20.83/21.11 (m_main_v_turn(s142, c_1)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11734, 11723, 11560, 11628])).
% 20.83/21.11 tff(11736,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11737,plain,
% 20.83/21.11 ((~![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)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11738,plain,
% 20.83/21.11 ((~![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))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 20.83/21.11 tff(11739,plain,
% 20.83/21.11 (~m_main_v_turn(s142, c_2)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11738, 322, 11735])).
% 20.83/21.11 tff(11740,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11741,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11742,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 20.83/21.11 tff(11743,plain,
% 20.83/21.11 (~node12(s142)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11742, 350, 11739])).
% 20.83/21.11 tff(11744,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11745,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11746,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11745, 11744])).
% 20.83/21.11 tff(11747,plain,
% 20.83/21.11 (~node8(s142)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11746, 383, 11676])).
% 20.83/21.11 tff(11748,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11749,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11750,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11749, 11748])).
% 20.83/21.11 tff(11751,plain,
% 20.83/21.11 (~node9(s142)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11750, 311, 11676])).
% 20.83/21.11 tff(11752,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11753,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11754,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 20.83/21.11 tff(11755,plain,
% 20.83/21.11 (~node10(s142)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11754, 372, 11676])).
% 20.83/21.11 tff(11756,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11757,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11758,plain,
% 20.83/21.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11757, 11756])).
% 20.83/21.11 tff(11759,plain,
% 20.83/21.11 (~node11(s142)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11758, 361, 11696])).
% 20.83/21.11 tff(11760,plain,
% 20.83/21.11 (((~![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))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11761,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11762,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143)),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 20.83/21.11 tff(11763,plain,
% 20.83/21.11 (node14(s142, s143)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11762, 130, 11707])).
% 20.83/21.11 tff(11764,plain,
% 20.83/21.11 (((~![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(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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11765,plain,
% 20.83/21.11 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11766,plain,
% 20.83/21.11 ((~![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(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 20.83/21.11 tff(11767,plain,
% 20.83/21.11 (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11766, 401, 11763])).
% 20.83/21.11 tff(11768,plain,
% 20.83/21.11 (node13(s142, s143)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11767, 11759, 11684, 11755, 11751, 11747, 11743])).
% 20.83/21.11 tff(11769,plain,
% 20.83/21.11 (((~![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(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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11770,plain,
% 20.83/21.11 (((~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)))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11771,plain,
% 20.83/21.11 (((~![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))))),
% 20.83/21.11 inference(monotonicity,[status(thm)],[11770])).
% 20.83/21.11 tff(11772,plain,
% 20.83/21.11 (((~![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)))),
% 20.83/21.11 inference(transitivity,[status(thm)],[11771, 11769])).
% 20.83/21.11 tff(11773,plain,
% 20.83/21.11 ((~![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))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11774,plain,
% 20.83/21.11 ((~![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(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 20.83/21.11 tff(11775,plain,
% 20.83/21.11 (m_main_v_state2(s143, c_t2)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11774, 563, 11672, 11768])).
% 20.83/21.11 tff(11776,plain,
% 20.83/21.11 (succ(s143, s144) <=> succ(s143, s144)),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11777,axiom,(succ(s143, s144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound144')).
% 20.83/21.11 tff(11778,plain,
% 20.83/21.11 (succ(s143, s144)),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 20.83/21.11 tff(11779,plain,
% 20.83/21.11 (((~![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))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11780,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11781,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 20.83/21.11 inference(modus_ponens,[status(thm)],[11780, 11779])).
% 20.83/21.11 tff(11782,plain,
% 20.83/21.11 (trans(s143, s144)),
% 20.83/21.11 inference(unit_resolution,[status(thm)],[11781, 11778, 57])).
% 20.83/21.11 tff(11783,plain,
% 20.83/21.11 (((~![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))),
% 20.83/21.11 inference(rewrite,[status(thm)],[])).
% 20.83/21.11 tff(11784,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))),
% 20.83/21.11 inference(quant_inst,[status(thm)],[])).
% 20.83/21.11 tff(11785,plain,
% 20.83/21.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144)),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11784, 11783])).
% 20.83/21.12 tff(11786,plain,
% 20.83/21.12 (node7(s143, s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11785, 217, 11782])).
% 20.83/21.12 tff(11787,plain,
% 20.83/21.12 (((~![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(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))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11788,plain,
% 20.83/21.12 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11789,plain,
% 20.83/21.12 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1)),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11788, 11787])).
% 20.83/21.12 tff(11790,plain,
% 20.83/21.12 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_state1(s144, c_t1)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11789, 598, 11786])).
% 20.83/21.12 tff(11791,plain,
% 20.83/21.12 (m_main_v_state1(s144, c_t1)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11790, 11775, 11719])).
% 20.83/21.12 tff(11792,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11793,plain,
% 20.83/21.12 ((~![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)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11794,plain,
% 20.83/21.12 ((~![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))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 20.83/21.12 tff(11795,plain,
% 20.83/21.12 (~m_main_v_state1(s144, c_n1)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11794, 35, 11791])).
% 20.83/21.12 tff(11796,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11797,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11798,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11797, 11796])).
% 20.83/21.12 tff(11799,plain,
% 20.83/21.12 (~node1(s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11798, 249, 11795])).
% 20.83/21.12 tff(11800,plain,
% 20.83/21.12 (((~![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))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11801,plain,
% 20.83/21.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11802,plain,
% 20.83/21.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144)),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11801, 11800])).
% 20.83/21.12 tff(11803,plain,
% 20.83/21.12 (node18(s143, s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11802, 71, 11782])).
% 20.83/21.12 tff(11804,plain,
% 20.83/21.12 (((~![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(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))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11805,plain,
% 20.83/21.12 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11806,plain,
% 20.83/21.12 ((~![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(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2)),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11805, 11804])).
% 20.83/21.12 tff(11807,plain,
% 20.83/21.12 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_turn(s144, c_2)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11806, 625, 11803])).
% 20.83/21.12 tff(11808,plain,
% 20.83/21.12 (m_main_v_turn(s144, c_2)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11807, 11775, 11719])).
% 20.83/21.12 tff(11809,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11810,plain,
% 20.83/21.12 ((~![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)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11811,plain,
% 20.83/21.12 ((~![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))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 20.83/21.12 tff(11812,plain,
% 20.83/21.12 (~m_main_v_turn(s144, c_1)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11811, 322, 11808])).
% 20.83/21.12 tff(11813,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11814,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11815,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 20.83/21.12 tff(11816,plain,
% 20.83/21.12 (~node5(s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11815, 641, 11812])).
% 20.83/21.12 tff(11817,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11818,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11819,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 20.83/21.12 tff(11820,plain,
% 20.83/21.12 (~node2(s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11819, 652, 11795])).
% 20.83/21.12 tff(11821,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11822,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11823,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11822, 11821])).
% 20.83/21.12 tff(11824,plain,
% 20.83/21.12 (~node3(s144)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11823, 663, 11795])).
% 20.83/21.12 tff(11825,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11826,plain,
% 20.83/21.12 ((~![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)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11827,plain,
% 20.83/21.12 ((~![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))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 20.83/21.12 tff(11828,plain,
% 20.83/21.12 (~m_main_v_state1(s144, c_c1)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11827, 289, 11791])).
% 20.83/21.12 tff(11829,plain,
% 20.83/21.12 (((~![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(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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11830,plain,
% 20.83/21.12 (((~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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11831,plain,
% 20.83/21.12 (((~![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))))),
% 20.83/21.12 inference(monotonicity,[status(thm)],[11830])).
% 20.83/21.12 tff(11832,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(transitivity,[status(thm)],[11831, 11829])).
% 20.83/21.12 tff(11833,plain,
% 20.83/21.12 ((~![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)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11834,plain,
% 20.83/21.12 ((~![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(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))),
% 20.83/21.12 inference(modus_ponens,[status(thm)],[11833, 11832])).
% 20.83/21.12 tff(11835,plain,
% 20.83/21.12 (~m_main_v_state2(s143, c_n2)),
% 20.83/21.12 inference(unit_resolution,[status(thm)],[11834, 416, 11676, 11768])).
% 20.83/21.12 tff(11836,plain,
% 20.83/21.12 (((~![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)))),
% 20.83/21.12 inference(rewrite,[status(thm)],[])).
% 20.83/21.12 tff(11837,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 20.83/21.12 inference(quant_inst,[status(thm)],[])).
% 20.83/21.12 tff(11838,plain,
% 20.83/21.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 20.83/21.13 tff(11839,plain,
% 20.83/21.13 (~node9(s143)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11838, 311, 11835])).
% 20.83/21.13 tff(11840,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11841,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11842,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 20.83/21.13 tff(11843,plain,
% 20.83/21.13 (~node10(s143)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11842, 372, 11835])).
% 20.83/21.13 tff(11844,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11845,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11846,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11845, 11844])).
% 20.83/21.13 tff(11847,plain,
% 20.83/21.13 (~node8(s143)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11846, 383, 11835])).
% 20.83/21.13 tff(11848,plain,
% 20.83/21.13 (((~![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))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11849,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11850,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144)),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 20.83/21.13 tff(11851,plain,
% 20.83/21.13 (node14(s143, s144)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11850, 130, 11782])).
% 20.83/21.13 tff(11852,plain,
% 20.83/21.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11853,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11854,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11853, 11852])).
% 20.83/21.13 tff(11855,plain,
% 20.83/21.13 ((~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)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11854, 704, 11851])).
% 20.83/21.13 tff(11856,plain,
% 20.83/21.13 (m_main_v_state2(s144, c_c2)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11855, 11847, 11719, 11775, 11843, 11839])).
% 20.83/21.13 tff(11857,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11858,plain,
% 20.83/21.13 ((~![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)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11859,plain,
% 20.83/21.13 ((~![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))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11858, 11857])).
% 20.83/21.13 tff(11860,plain,
% 20.83/21.13 (~m_main_v_state2(s144, c_n2)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11859, 716, 11856])).
% 20.83/21.13 tff(11861,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11862,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11863,plain,
% 20.83/21.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 20.83/21.13 tff(11864,plain,
% 20.83/21.13 (~node4(s144)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11863, 162, 11860])).
% 20.83/21.13 tff(11865,plain,
% 20.83/21.13 (succ(s144, s145) <=> succ(s144, s145)),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11866,axiom,(succ(s144, s145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound145')).
% 20.83/21.13 tff(11867,plain,
% 20.83/21.13 (succ(s144, s145)),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 20.83/21.13 tff(11868,plain,
% 20.83/21.13 (((~![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))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11869,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11870,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11869, 11868])).
% 20.83/21.13 tff(11871,plain,
% 20.83/21.13 (trans(s144, s145)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11870, 11867, 57])).
% 20.83/21.13 tff(11872,plain,
% 20.83/21.13 (((~![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))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11873,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11874,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145)),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11873, 11872])).
% 20.83/21.13 tff(11875,plain,
% 20.83/21.13 (node7(s144, s145)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11874, 217, 11871])).
% 20.83/21.13 tff(11876,plain,
% 20.83/21.13 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11877,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11878,plain,
% 20.83/21.13 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 20.83/21.13 tff(11879,plain,
% 20.83/21.13 (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11878, 745, 11875])).
% 20.83/21.13 tff(11880,plain,
% 20.83/21.13 (node6(s144, s145)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11879, 11864, 11828, 11824, 11820, 11816, 11799])).
% 20.83/21.13 tff(11881,plain,
% 20.83/21.13 (((~![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(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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11882,plain,
% 20.83/21.13 (((~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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11883,plain,
% 20.83/21.13 (((~![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))))),
% 20.83/21.13 inference(monotonicity,[status(thm)],[11882])).
% 20.83/21.13 tff(11884,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(transitivity,[status(thm)],[11883, 11881])).
% 20.83/21.13 tff(11885,plain,
% 20.83/21.13 ((~![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))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11886,plain,
% 20.83/21.13 ((~![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(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))),
% 20.83/21.13 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 20.83/21.13 tff(11887,plain,
% 20.83/21.13 (m_main_v_state1(s145, c_t1)),
% 20.83/21.13 inference(unit_resolution,[status(thm)],[11886, 760, 11791, 11880])).
% 20.83/21.13 tff(11888,plain,
% 20.83/21.13 (((~![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)))),
% 20.83/21.13 inference(rewrite,[status(thm)],[])).
% 20.83/21.13 tff(11889,plain,
% 20.83/21.13 ((~![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)))),
% 20.83/21.13 inference(quant_inst,[status(thm)],[])).
% 20.83/21.13 tff(11890,plain,
% 20.83/21.13 ((~![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))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11889, 11888])).
% 20.83/21.14 tff(11891,plain,
% 20.83/21.14 (~m_main_v_state2(s144, c_t2)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11890, 173, 11856])).
% 20.83/21.14 tff(11892,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11893,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11894,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 20.83/21.14 tff(11895,plain,
% 20.83/21.14 (~node12(s144)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11894, 778, 11891])).
% 20.83/21.14 tff(11896,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11897,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11898,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 20.83/21.14 tff(11899,plain,
% 20.83/21.14 (~node11(s144)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11898, 361, 11795])).
% 20.83/21.14 tff(11900,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11901,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11902,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 20.83/21.14 tff(11903,plain,
% 20.83/21.14 (~node10(s144)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11902, 793, 11828])).
% 20.83/21.14 tff(11904,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11905,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11906,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 20.83/21.14 tff(11907,plain,
% 20.83/21.14 (~node9(s144)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11906, 804, 11795])).
% 20.83/21.14 tff(11908,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11909,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11910,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11909, 11908])).
% 20.83/21.14 tff(11911,plain,
% 20.83/21.14 (~node8(s144)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11910, 383, 11860])).
% 20.83/21.14 tff(11912,plain,
% 20.83/21.14 (((~![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))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11913,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11914,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145)),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11913, 11912])).
% 20.83/21.14 tff(11915,plain,
% 20.83/21.14 (node14(s144, s145)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11914, 130, 11871])).
% 20.83/21.14 tff(11916,plain,
% 20.83/21.14 (((~![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(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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11917,plain,
% 20.83/21.14 (((~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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11918,plain,
% 20.83/21.14 (((~![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(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))))),
% 20.83/21.14 inference(monotonicity,[status(thm)],[11917])).
% 20.83/21.14 tff(11919,plain,
% 20.83/21.14 (((~![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(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)))),
% 20.83/21.14 inference(transitivity,[status(thm)],[11918, 11916])).
% 20.83/21.14 tff(11920,plain,
% 20.83/21.14 ((~![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(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11921,plain,
% 20.83/21.14 ((~![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(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 20.83/21.14 tff(11922,plain,
% 20.83/21.14 (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~m_main_v_state2(s144, c_c2))),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11921, 826, 11915])).
% 20.83/21.14 tff(11923,plain,
% 20.83/21.14 (m_main_v_state2(s145, c_n2)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11922, 11911, 11856, 11907, 11903, 11899, 11895])).
% 20.83/21.14 tff(11924,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11925,plain,
% 20.83/21.14 ((~![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)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11926,plain,
% 20.83/21.14 ((~![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))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11925, 11924])).
% 20.83/21.14 tff(11927,plain,
% 20.83/21.14 (~m_main_v_state2(s145, c_t2)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11926, 10, 11923])).
% 20.83/21.14 tff(11928,plain,
% 20.83/21.14 (((~![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)))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11929,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11930,plain,
% 20.83/21.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145))),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11929, 11928])).
% 20.83/21.14 tff(11931,plain,
% 20.83/21.14 (~node15(s145)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11930, 21, 11927])).
% 20.83/21.14 tff(11932,plain,
% 20.83/21.14 (succ(s145, s146) <=> succ(s145, s146)),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11933,axiom,(succ(s145, s146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound146')).
% 20.83/21.14 tff(11934,plain,
% 20.83/21.14 (succ(s145, s146)),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11933, 11932])).
% 20.83/21.14 tff(11935,plain,
% 20.83/21.14 (((~![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))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11936,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11937,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 20.83/21.14 tff(11938,plain,
% 20.83/21.14 (trans(s145, s146)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11937, 11934, 57])).
% 20.83/21.14 tff(11939,plain,
% 20.83/21.14 (((~![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))),
% 20.83/21.14 inference(rewrite,[status(thm)],[])).
% 20.83/21.14 tff(11940,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))),
% 20.83/21.14 inference(quant_inst,[status(thm)],[])).
% 20.83/21.14 tff(11941,plain,
% 20.83/21.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146)),
% 20.83/21.14 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 20.83/21.14 tff(11942,plain,
% 20.83/21.14 (node18(s145, s146)),
% 20.83/21.14 inference(unit_resolution,[status(thm)],[11941, 71, 11938])).
% 20.83/21.14 tff(11943,plain,
% 20.83/21.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11944,plain,
% 20.83/21.15 (((~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))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11945,plain,
% 20.83/21.15 (((~![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(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)))),
% 20.83/21.15 inference(monotonicity,[status(thm)],[11944])).
% 20.83/21.15 tff(11946,plain,
% 20.83/21.15 (((~![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(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))),
% 20.83/21.15 inference(transitivity,[status(thm)],[11945, 11943])).
% 20.83/21.15 tff(11947,plain,
% 20.83/21.15 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11948,plain,
% 20.83/21.15 ((~![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(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)),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11947, 11946])).
% 20.83/21.15 tff(11949,plain,
% 20.83/21.15 (node15(s145) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11948, 863, 11942])).
% 20.83/21.15 tff(11950,plain,
% 20.83/21.15 (m_main_v_turn(s146, c_1)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11949, 11931, 11923, 11887])).
% 20.83/21.15 tff(11951,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11952,plain,
% 20.83/21.15 ((~![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)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11953,plain,
% 20.83/21.15 ((~![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))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 20.83/21.15 tff(11954,plain,
% 20.83/21.15 (~m_main_v_turn(s146, c_2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11953, 322, 11950])).
% 20.83/21.15 tff(11955,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11956,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11957,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 20.83/21.15 tff(11958,plain,
% 20.83/21.15 (~node12(s146)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11957, 350, 11954])).
% 20.83/21.15 tff(11959,plain,
% 20.83/21.15 (((~![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))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11960,plain,
% 20.83/21.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11961,plain,
% 20.83/21.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146)),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 20.83/21.15 tff(11962,plain,
% 20.83/21.15 (node14(s145, s146)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11961, 130, 11938])).
% 20.83/21.15 tff(11963,plain,
% 20.83/21.15 (((~![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(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))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11964,plain,
% 20.83/21.15 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11965,plain,
% 20.83/21.15 ((~![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(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2)),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 20.83/21.15 tff(11966,plain,
% 20.83/21.15 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state2(s146, c_t2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11965, 893, 11962])).
% 20.83/21.15 tff(11967,plain,
% 20.83/21.15 (m_main_v_state2(s146, c_t2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11966, 11887, 11923])).
% 20.83/21.15 tff(11968,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11969,plain,
% 20.83/21.15 ((~![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)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11970,plain,
% 20.83/21.15 ((~![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))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 20.83/21.15 tff(11971,plain,
% 20.83/21.15 (~m_main_v_state2(s146, c_n2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11970, 10, 11967])).
% 20.83/21.15 tff(11972,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11973,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11974,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 20.83/21.15 tff(11975,plain,
% 20.83/21.15 (~node8(s146)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11974, 383, 11971])).
% 20.83/21.15 tff(11976,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11977,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11978,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 20.83/21.15 tff(11979,plain,
% 20.83/21.15 (~node9(s146)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11978, 311, 11971])).
% 20.83/21.15 tff(11980,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11981,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11982,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 20.83/21.15 tff(11983,plain,
% 20.83/21.15 (~node10(s146)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11982, 372, 11971])).
% 20.83/21.15 tff(11984,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11985,plain,
% 20.83/21.15 ((~![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)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11986,plain,
% 20.83/21.15 ((~![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))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 20.83/21.15 tff(11987,plain,
% 20.83/21.15 (~m_main_v_state2(s146, c_c2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11986, 173, 11967])).
% 20.83/21.15 tff(11988,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11989,plain,
% 20.83/21.15 ((~![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)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11990,plain,
% 20.83/21.15 ((~![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))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11989, 11988])).
% 20.83/21.15 tff(11991,plain,
% 20.83/21.15 (~m_main_v_state2(s145, c_c2)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11990, 716, 11923])).
% 20.83/21.15 tff(11992,plain,
% 20.83/21.15 (((~![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)))),
% 20.83/21.15 inference(rewrite,[status(thm)],[])).
% 20.83/21.15 tff(11993,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 20.83/21.15 inference(quant_inst,[status(thm)],[])).
% 20.83/21.15 tff(11994,plain,
% 20.83/21.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145))),
% 20.83/21.15 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 20.83/21.15 tff(11995,plain,
% 20.83/21.15 (~node3(s145)),
% 20.83/21.15 inference(unit_resolution,[status(thm)],[11994, 184, 11991])).
% 20.83/21.16 tff(11996,plain,
% 20.83/21.16 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(11997,plain,
% 20.83/21.16 (((~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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(11998,plain,
% 20.83/21.16 (((~![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))))),
% 20.83/21.16 inference(monotonicity,[status(thm)],[11997])).
% 20.83/21.16 tff(11999,plain,
% 20.83/21.16 (((~![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)))),
% 20.83/21.16 inference(transitivity,[status(thm)],[11998, 11996])).
% 20.83/21.16 tff(12000,plain,
% 20.83/21.16 ((~![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)))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12001,plain,
% 20.83/21.16 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 20.83/21.16 tff(12002,plain,
% 20.83/21.16 (~m_main_v_state1(s145, c_n1)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12001, 936, 11795, 11880])).
% 20.83/21.16 tff(12003,plain,
% 20.83/21.16 (((~![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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12004,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12005,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12004, 12003])).
% 20.83/21.16 tff(12006,plain,
% 20.83/21.16 (~node2(s145)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12005, 652, 12002])).
% 20.83/21.16 tff(12007,plain,
% 20.83/21.16 (((~![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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12008,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12009,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 20.83/21.16 tff(12010,plain,
% 20.83/21.16 (~node1(s145)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12009, 206, 11927])).
% 20.83/21.16 tff(12011,plain,
% 20.83/21.16 (((~![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))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12012,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12013,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146)),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 20.83/21.16 tff(12014,plain,
% 20.83/21.16 (node7(s145, s146)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12013, 217, 11938])).
% 20.83/21.16 tff(12015,plain,
% 20.83/21.16 (((~![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(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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12016,plain,
% 20.83/21.16 (((~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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12017,plain,
% 20.83/21.16 (((~![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(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))))),
% 20.83/21.16 inference(monotonicity,[status(thm)],[12016])).
% 20.83/21.16 tff(12018,plain,
% 20.83/21.16 (((~![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(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)))),
% 20.83/21.16 inference(transitivity,[status(thm)],[12017, 12015])).
% 20.83/21.16 tff(12019,plain,
% 20.83/21.16 ((~![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(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))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12020,plain,
% 20.83/21.16 ((~![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(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))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 20.83/21.16 tff(12021,plain,
% 20.83/21.16 ((~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)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12020, 965, 12014])).
% 20.83/21.16 tff(12022,plain,
% 20.83/21.16 (m_main_v_state1(s146, c_c1)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12021, 12010, 11923, 11887, 12006, 11995])).
% 20.83/21.16 tff(12023,plain,
% 20.83/21.16 (((~![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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12024,plain,
% 20.83/21.16 ((~![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)))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12025,plain,
% 20.83/21.16 ((~![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))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 20.83/21.16 tff(12026,plain,
% 20.83/21.16 (~m_main_v_state1(s146, c_n1)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12025, 449, 12022])).
% 20.83/21.16 tff(12027,plain,
% 20.83/21.16 (((~![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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12028,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12029,plain,
% 20.83/21.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146))),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12028, 12027])).
% 20.83/21.16 tff(12030,plain,
% 20.83/21.16 (~node11(s146)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12029, 361, 12026])).
% 20.83/21.16 tff(12031,plain,
% 20.83/21.16 (succ(s146, s147) <=> succ(s146, s147)),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12032,axiom,(succ(s146, s147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound147')).
% 20.83/21.16 tff(12033,plain,
% 20.83/21.16 (succ(s146, s147)),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 20.83/21.16 tff(12034,plain,
% 20.83/21.16 (((~![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))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12035,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12036,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 20.83/21.16 tff(12037,plain,
% 20.83/21.16 (trans(s146, s147)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12036, 12033, 57])).
% 20.83/21.16 tff(12038,plain,
% 20.83/21.16 (((~![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))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12039,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))),
% 20.83/21.16 inference(quant_inst,[status(thm)],[])).
% 20.83/21.16 tff(12040,plain,
% 20.83/21.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147)),
% 20.83/21.16 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 20.83/21.16 tff(12041,plain,
% 20.83/21.16 (node14(s146, s147)),
% 20.83/21.16 inference(unit_resolution,[status(thm)],[12040, 130, 12037])).
% 20.83/21.16 tff(12042,plain,
% 20.83/21.16 (((~![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(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)))),
% 20.83/21.16 inference(rewrite,[status(thm)],[])).
% 20.83/21.16 tff(12043,plain,
% 20.83/21.16 ((~![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(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12044,plain,
% 20.83/21.17 ((~![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(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12043, 12042])).
% 20.83/21.17 tff(12045,plain,
% 20.83/21.17 (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12044, 401, 12041])).
% 20.83/21.17 tff(12046,plain,
% 20.83/21.17 (node13(s146, s147)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12045, 12030, 11987, 11983, 11979, 11975, 11958])).
% 20.83/21.17 tff(12047,plain,
% 20.83/21.17 (((~![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(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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12048,plain,
% 20.83/21.17 (((~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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12049,plain,
% 20.83/21.17 (((~![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))))),
% 20.83/21.17 inference(monotonicity,[status(thm)],[12048])).
% 20.83/21.17 tff(12050,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(transitivity,[status(thm)],[12049, 12047])).
% 20.83/21.17 tff(12051,plain,
% 20.83/21.17 ((~![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)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12052,plain,
% 20.83/21.17 ((~![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(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 20.83/21.17 tff(12053,plain,
% 20.83/21.17 (~m_main_v_state2(s147, c_n2)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12052, 416, 11971, 12046])).
% 20.83/21.17 tff(12054,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12055,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12056,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12055, 12054])).
% 20.83/21.17 tff(12057,plain,
% 20.83/21.17 (~node9(s147)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12056, 311, 12053])).
% 20.83/21.17 tff(12058,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12059,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12060,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12059, 12058])).
% 20.83/21.17 tff(12061,plain,
% 20.83/21.17 (~node10(s147)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12060, 372, 12053])).
% 20.83/21.17 tff(12062,plain,
% 20.83/21.17 (((~![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(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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12063,plain,
% 20.83/21.17 (((~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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12064,plain,
% 20.83/21.17 (((~![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))))),
% 20.83/21.17 inference(monotonicity,[status(thm)],[12063])).
% 20.83/21.17 tff(12065,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(transitivity,[status(thm)],[12064, 12062])).
% 20.83/21.17 tff(12066,plain,
% 20.83/21.17 ((~![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))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12067,plain,
% 20.83/21.17 ((~![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(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 20.83/21.17 tff(12068,plain,
% 20.83/21.17 (m_main_v_state2(s147, c_t2)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12067, 563, 11967, 12046])).
% 20.83/21.17 tff(12069,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12070,plain,
% 20.83/21.17 ((~![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)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12071,plain,
% 20.83/21.17 ((~![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))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12070, 12069])).
% 20.83/21.17 tff(12072,plain,
% 20.83/21.17 (~m_main_v_state1(s146, c_t1)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12071, 289, 12022])).
% 20.83/21.17 tff(12073,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12074,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12075,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 20.83/21.17 tff(12076,plain,
% 20.83/21.17 (~node5(s146)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12075, 300, 12072])).
% 20.83/21.17 tff(12077,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12078,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12079,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12078, 12077])).
% 20.83/21.17 tff(12080,plain,
% 20.83/21.17 (~node4(s146)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12079, 162, 11971])).
% 20.83/21.17 tff(12081,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12082,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12083,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 20.83/21.17 tff(12084,plain,
% 20.83/21.17 (~node3(s146)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12083, 184, 11987])).
% 20.83/21.17 tff(12085,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12086,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12087,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 20.83/21.17 tff(12088,plain,
% 20.83/21.17 (~node2(s146)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12087, 195, 11971])).
% 20.83/21.17 tff(12089,plain,
% 20.83/21.17 (((~![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)))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12090,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12091,plain,
% 20.83/21.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146))),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 20.83/21.17 tff(12092,plain,
% 20.83/21.17 (~node1(s146)),
% 20.83/21.17 inference(unit_resolution,[status(thm)],[12091, 249, 12026])).
% 20.83/21.17 tff(12093,plain,
% 20.83/21.17 (((~![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))),
% 20.83/21.17 inference(rewrite,[status(thm)],[])).
% 20.83/21.17 tff(12094,plain,
% 20.83/21.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))),
% 20.83/21.17 inference(quant_inst,[status(thm)],[])).
% 20.83/21.17 tff(12095,plain,
% 20.83/21.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147)),
% 20.83/21.17 inference(modus_ponens,[status(thm)],[12094, 12093])).
% 20.83/21.18 tff(12096,plain,
% 20.83/21.18 (node7(s146, s147)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12095, 217, 12037])).
% 20.83/21.18 tff(12097,plain,
% 20.83/21.18 (((~![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(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)))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12098,plain,
% 20.83/21.18 (((~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)))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12099,plain,
% 20.83/21.18 (((~![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(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))))),
% 20.83/21.18 inference(monotonicity,[status(thm)],[12098])).
% 20.83/21.18 tff(12100,plain,
% 20.83/21.18 (((~![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(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)))),
% 20.83/21.18 inference(transitivity,[status(thm)],[12099, 12097])).
% 20.83/21.18 tff(12101,plain,
% 20.83/21.18 ((~![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(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12102,plain,
% 20.83/21.18 ((~![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(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12101, 12100])).
% 20.83/21.18 tff(12103,plain,
% 20.83/21.18 (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12102, 478, 12096])).
% 20.83/21.18 tff(12104,plain,
% 20.83/21.18 (m_main_v_state1(s147, c_n1)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12103, 12092, 12022, 12088, 12084, 12080, 12076])).
% 20.83/21.18 tff(12105,plain,
% 20.83/21.18 (((~![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)))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12106,plain,
% 20.83/21.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12107,plain,
% 20.83/21.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147))),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12106, 12105])).
% 20.83/21.18 tff(12108,plain,
% 20.83/21.18 (~node8(s147)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12107, 383, 12053])).
% 20.83/21.18 tff(12109,plain,
% 20.83/21.18 (succ(s147, s148) <=> succ(s147, s148)),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12110,axiom,(succ(s147, s148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound148')).
% 20.83/21.18 tff(12111,plain,
% 20.83/21.18 (succ(s147, s148)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12110, 12109])).
% 20.83/21.18 tff(12112,plain,
% 20.83/21.18 (((~![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))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12113,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12114,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 20.83/21.18 tff(12115,plain,
% 20.83/21.18 (trans(s147, s148)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12114, 12111, 57])).
% 20.83/21.18 tff(12116,plain,
% 20.83/21.18 (((~![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))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12117,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12118,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 20.83/21.18 tff(12119,plain,
% 20.83/21.18 (node14(s147, s148)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12118, 130, 12115])).
% 20.83/21.18 tff(12120,plain,
% 20.83/21.18 (((~![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(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))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12121,plain,
% 20.83/21.18 ((~![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(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))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12122,plain,
% 20.83/21.18 ((~![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(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)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 20.83/21.18 tff(12123,plain,
% 20.83/21.18 ((~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)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12122, 704, 12119])).
% 20.83/21.18 tff(12124,plain,
% 20.83/21.18 (m_main_v_state2(s148, c_c2)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12123, 12108, 12104, 12068, 12061, 12057])).
% 20.83/21.18 tff(12125,plain,
% 20.83/21.18 (((~![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)))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12126,plain,
% 20.83/21.18 ((~![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)))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12127,plain,
% 20.83/21.18 ((~![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))),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 20.83/21.18 tff(12128,plain,
% 20.83/21.18 (~m_main_v_state2(s148, c_t2)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12127, 173, 12124])).
% 20.83/21.18 tff(12129,plain,
% 20.83/21.18 (((~![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)))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12130,plain,
% 20.83/21.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12131,plain,
% 20.83/21.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148))),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 20.83/21.18 tff(12132,plain,
% 20.83/21.18 (~node12(s148)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12131, 778, 12128])).
% 20.83/21.18 tff(12133,plain,
% 20.83/21.18 (((~![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))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12134,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12135,plain,
% 20.83/21.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 20.83/21.18 tff(12136,plain,
% 20.83/21.18 (node7(s147, s148)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12135, 217, 12115])).
% 20.83/21.18 tff(12137,plain,
% 20.83/21.18 (((~![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(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))),
% 20.83/21.18 inference(rewrite,[status(thm)],[])).
% 20.83/21.18 tff(12138,plain,
% 20.83/21.18 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 20.83/21.18 inference(quant_inst,[status(thm)],[])).
% 20.83/21.18 tff(12139,plain,
% 20.83/21.18 ((~![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(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1)),
% 20.83/21.18 inference(modus_ponens,[status(thm)],[12138, 12137])).
% 20.83/21.18 tff(12140,plain,
% 20.83/21.18 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_state1(s148, c_t1)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12139, 598, 12136])).
% 20.83/21.18 tff(12141,plain,
% 20.83/21.18 (m_main_v_state1(s148, c_t1)),
% 20.83/21.18 inference(unit_resolution,[status(thm)],[12140, 12068, 12104])).
% 20.83/21.18 tff(12142,plain,
% 20.83/21.18 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12143,plain,
% 20.83/21.19 ((~![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)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12144,plain,
% 20.83/21.19 ((~![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))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 20.83/21.19 tff(12145,plain,
% 20.83/21.19 (~m_main_v_state1(s148, c_n1)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12144, 35, 12141])).
% 20.83/21.19 tff(12146,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12147,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12148,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 20.83/21.19 tff(12149,plain,
% 20.83/21.19 (~node11(s148)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12148, 361, 12145])).
% 20.83/21.19 tff(12150,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12151,plain,
% 20.83/21.19 ((~![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)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12152,plain,
% 20.83/21.19 ((~![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))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12151, 12150])).
% 20.83/21.19 tff(12153,plain,
% 20.83/21.19 (~m_main_v_state1(s148, c_c1)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12152, 289, 12141])).
% 20.83/21.19 tff(12154,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12155,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12156,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 20.83/21.19 tff(12157,plain,
% 20.83/21.19 (~node10(s148)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12156, 793, 12153])).
% 20.83/21.19 tff(12158,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12159,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12160,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12159, 12158])).
% 20.83/21.19 tff(12161,plain,
% 20.83/21.19 (~node9(s148)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12160, 804, 12145])).
% 20.83/21.19 tff(12162,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12163,plain,
% 20.83/21.19 ((~![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)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12164,plain,
% 20.83/21.19 ((~![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))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 20.83/21.19 tff(12165,plain,
% 20.83/21.19 (~m_main_v_state2(s148, c_n2)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12164, 716, 12124])).
% 20.83/21.19 tff(12166,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12167,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12168,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 20.83/21.19 tff(12169,plain,
% 20.83/21.19 (~node8(s148)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12168, 383, 12165])).
% 20.83/21.19 tff(12170,plain,
% 20.83/21.19 (succ(s148, s149) <=> succ(s148, s149)),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12171,axiom,(succ(s148, s149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound149')).
% 20.83/21.19 tff(12172,plain,
% 20.83/21.19 (succ(s148, s149)),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12171, 12170])).
% 20.83/21.19 tff(12173,plain,
% 20.83/21.19 (((~![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))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12174,plain,
% 20.83/21.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12175,plain,
% 20.83/21.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 20.83/21.19 tff(12176,plain,
% 20.83/21.19 (trans(s148, s149)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12175, 12172, 57])).
% 20.83/21.19 tff(12177,plain,
% 20.83/21.19 (((~![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))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12178,plain,
% 20.83/21.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12179,plain,
% 20.83/21.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149)),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 20.83/21.19 tff(12180,plain,
% 20.83/21.19 (node14(s148, s149)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12179, 130, 12176])).
% 20.83/21.19 tff(12181,plain,
% 20.83/21.19 (((~![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(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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12182,plain,
% 20.83/21.19 (((~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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12183,plain,
% 20.83/21.19 (((~![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(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))))),
% 20.83/21.19 inference(monotonicity,[status(thm)],[12182])).
% 20.83/21.19 tff(12184,plain,
% 20.83/21.19 (((~![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(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)))),
% 20.83/21.19 inference(transitivity,[status(thm)],[12183, 12181])).
% 20.83/21.19 tff(12185,plain,
% 20.83/21.19 ((~![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(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12186,plain,
% 20.83/21.19 ((~![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(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12185, 12184])).
% 20.83/21.19 tff(12187,plain,
% 20.83/21.19 (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~m_main_v_state2(s148, c_c2))),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12186, 826, 12180])).
% 20.83/21.19 tff(12188,plain,
% 20.83/21.19 (m_main_v_state2(s149, c_n2)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12187, 12169, 12124, 12161, 12157, 12149, 12132])).
% 20.83/21.19 tff(12189,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12190,plain,
% 20.83/21.19 ((~![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)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12191,plain,
% 20.83/21.19 ((~![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))),
% 20.83/21.19 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 20.83/21.19 tff(12192,plain,
% 20.83/21.19 (~m_main_v_state2(s149, c_c2)),
% 20.83/21.19 inference(unit_resolution,[status(thm)],[12191, 716, 12188])).
% 20.83/21.19 tff(12193,plain,
% 20.83/21.19 (((~![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)))),
% 20.83/21.19 inference(rewrite,[status(thm)],[])).
% 20.83/21.19 tff(12194,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 20.83/21.19 inference(quant_inst,[status(thm)],[])).
% 20.83/21.19 tff(12195,plain,
% 20.83/21.19 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 20.83/21.20 tff(12196,plain,
% 20.83/21.20 (~node3(s149)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12195, 184, 12192])).
% 20.83/21.20 tff(12197,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12198,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12199,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 20.83/21.20 tff(12200,plain,
% 20.83/21.20 (~node1(s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12199, 249, 12145])).
% 20.83/21.20 tff(12201,plain,
% 20.83/21.20 (((~![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))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12202,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12203,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148)),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 20.83/21.20 tff(12204,plain,
% 20.83/21.20 (node18(s147, s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12203, 71, 12115])).
% 20.83/21.20 tff(12205,plain,
% 20.83/21.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12206,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12207,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12206, 12205])).
% 20.83/21.20 tff(12208,plain,
% 20.83/21.20 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_turn(s148, c_2)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12207, 625, 12204])).
% 20.83/21.20 tff(12209,plain,
% 20.83/21.20 (m_main_v_turn(s148, c_2)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12208, 12068, 12104])).
% 20.83/21.20 tff(12210,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12211,plain,
% 20.83/21.20 ((~![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)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12212,plain,
% 20.83/21.20 ((~![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))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 20.83/21.20 tff(12213,plain,
% 20.83/21.20 (~m_main_v_turn(s148, c_1)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12212, 322, 12209])).
% 20.83/21.20 tff(12214,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12215,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12216,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 20.83/21.20 tff(12217,plain,
% 20.83/21.20 (~node5(s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12216, 641, 12213])).
% 20.83/21.20 tff(12218,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12219,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12220,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 20.83/21.20 tff(12221,plain,
% 20.83/21.20 (~node2(s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12220, 652, 12145])).
% 20.83/21.20 tff(12222,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12223,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12224,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 20.83/21.20 tff(12225,plain,
% 20.83/21.20 (~node3(s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12224, 663, 12145])).
% 20.83/21.20 tff(12226,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12227,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12228,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 20.83/21.20 tff(12229,plain,
% 20.83/21.20 (~node4(s148)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12228, 162, 12165])).
% 20.83/21.20 tff(12230,plain,
% 20.83/21.20 (((~![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))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12231,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12232,plain,
% 20.83/21.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149)),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12231, 12230])).
% 20.83/21.20 tff(12233,plain,
% 20.83/21.20 (node7(s148, s149)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12232, 217, 12176])).
% 20.83/21.20 tff(12234,plain,
% 20.83/21.20 (((~![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(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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12235,plain,
% 20.83/21.20 ((~![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(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12236,plain,
% 20.83/21.20 ((~![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(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 20.83/21.20 tff(12237,plain,
% 20.83/21.20 (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12236, 745, 12233])).
% 20.83/21.20 tff(12238,plain,
% 20.83/21.20 (node6(s148, s149)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12237, 12229, 12153, 12225, 12221, 12217, 12200])).
% 20.83/21.20 tff(12239,plain,
% 20.83/21.20 (((~![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(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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12240,plain,
% 20.83/21.20 (((~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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12241,plain,
% 20.83/21.20 (((~![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))))),
% 20.83/21.20 inference(monotonicity,[status(thm)],[12240])).
% 20.83/21.20 tff(12242,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(transitivity,[status(thm)],[12241, 12239])).
% 20.83/21.20 tff(12243,plain,
% 20.83/21.20 ((~![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)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12244,plain,
% 20.83/21.20 ((~![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(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 20.83/21.20 tff(12245,plain,
% 20.83/21.20 (~m_main_v_state1(s149, c_n1)),
% 20.83/21.20 inference(unit_resolution,[status(thm)],[12244, 936, 12145, 12238])).
% 20.83/21.20 tff(12246,plain,
% 20.83/21.20 (((~![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)))),
% 20.83/21.20 inference(rewrite,[status(thm)],[])).
% 20.83/21.20 tff(12247,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 20.83/21.20 inference(quant_inst,[status(thm)],[])).
% 20.83/21.20 tff(12248,plain,
% 20.83/21.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149))),
% 20.83/21.20 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 20.83/21.20 tff(12249,plain,
% 20.83/21.20 (~node2(s149)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12248, 652, 12245])).
% 20.93/21.21 tff(12250,plain,
% 20.93/21.21 (((~![V: $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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12251,plain,
% 20.93/21.21 (((~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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12252,plain,
% 20.93/21.21 (((~![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))))),
% 20.93/21.21 inference(monotonicity,[status(thm)],[12251])).
% 20.93/21.21 tff(12253,plain,
% 20.93/21.21 (((~![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)))),
% 20.93/21.21 inference(transitivity,[status(thm)],[12252, 12250])).
% 20.93/21.21 tff(12254,plain,
% 20.93/21.21 ((~![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))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12255,plain,
% 20.93/21.21 ((~![V: $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))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12254, 12253])).
% 20.93/21.21 tff(12256,plain,
% 20.93/21.21 (m_main_v_state1(s149, c_t1)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12255, 760, 12141, 12238])).
% 20.93/21.21 tff(12257,plain,
% 20.93/21.21 (((~![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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12258,plain,
% 20.93/21.21 ((~![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)))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12259,plain,
% 20.93/21.21 ((~![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))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12258, 12257])).
% 20.93/21.21 tff(12260,plain,
% 20.93/21.21 (~m_main_v_state2(s149, c_t2)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12259, 10, 12188])).
% 20.93/21.21 tff(12261,plain,
% 20.93/21.21 (((~![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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12262,plain,
% 20.93/21.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12263,plain,
% 20.93/21.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12262, 12261])).
% 20.93/21.21 tff(12264,plain,
% 20.93/21.21 (~node1(s149)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12263, 206, 12260])).
% 20.93/21.21 tff(12265,plain,
% 20.93/21.21 (succ(s149, s150) <=> succ(s149, s150)),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12266,axiom,(succ(s149, s150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound150')).
% 20.93/21.21 tff(12267,plain,
% 20.93/21.21 (succ(s149, s150)),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 20.93/21.21 tff(12268,plain,
% 20.93/21.21 (((~![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))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12269,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12270,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 20.93/21.21 tff(12271,plain,
% 20.93/21.21 (trans(s149, s150)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12270, 12267, 57])).
% 20.93/21.21 tff(12272,plain,
% 20.93/21.21 (((~![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))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12273,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12274,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150)),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 20.93/21.21 tff(12275,plain,
% 20.93/21.21 (node7(s149, s150)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12274, 217, 12271])).
% 20.93/21.21 tff(12276,plain,
% 20.93/21.21 (((~![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(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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12277,plain,
% 20.93/21.21 (((~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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12278,plain,
% 20.93/21.21 (((~![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(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))))),
% 20.93/21.21 inference(monotonicity,[status(thm)],[12277])).
% 20.93/21.21 tff(12279,plain,
% 20.93/21.21 (((~![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(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)))),
% 20.93/21.21 inference(transitivity,[status(thm)],[12278, 12276])).
% 20.93/21.21 tff(12280,plain,
% 20.93/21.21 ((~![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(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))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12281,plain,
% 20.93/21.21 ((~![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(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))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12280, 12279])).
% 20.93/21.21 tff(12282,plain,
% 20.93/21.21 ((~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)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12281, 965, 12275])).
% 20.93/21.21 tff(12283,plain,
% 20.93/21.21 (m_main_v_state1(s150, c_c1)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12282, 12264, 12188, 12256, 12249, 12196])).
% 20.93/21.21 tff(12284,plain,
% 20.93/21.21 (((~![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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12285,plain,
% 20.93/21.21 ((~![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)))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12286,plain,
% 20.93/21.21 ((~![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))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 20.93/21.21 tff(12287,plain,
% 20.93/21.21 (~m_main_v_state1(s150, c_t1)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12286, 289, 12283])).
% 20.93/21.21 tff(12288,plain,
% 20.93/21.21 (((~![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)))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12289,plain,
% 20.93/21.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12290,plain,
% 20.93/21.21 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150))),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12289, 12288])).
% 20.93/21.21 tff(12291,plain,
% 20.93/21.21 (~node5(s150)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12290, 300, 12287])).
% 20.93/21.21 tff(12292,plain,
% 20.93/21.21 (((~![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))),
% 20.93/21.21 inference(rewrite,[status(thm)],[])).
% 20.93/21.21 tff(12293,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))),
% 20.93/21.21 inference(quant_inst,[status(thm)],[])).
% 20.93/21.21 tff(12294,plain,
% 20.93/21.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150)),
% 20.93/21.21 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 20.93/21.21 tff(12295,plain,
% 20.93/21.21 (node14(s149, s150)),
% 20.93/21.21 inference(unit_resolution,[status(thm)],[12294, 130, 12271])).
% 20.93/21.21 tff(12296,plain,
% 20.93/21.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12297,plain,
% 20.93/21.22 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12298,plain,
% 20.93/21.22 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2)),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 20.93/21.22 tff(12299,plain,
% 20.93/21.22 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state2(s150, c_t2)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12298, 893, 12295])).
% 20.93/21.22 tff(12300,plain,
% 20.93/21.22 (m_main_v_state2(s150, c_t2)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12299, 12256, 12188])).
% 20.93/21.22 tff(12301,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12302,plain,
% 20.93/21.22 ((~![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)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12303,plain,
% 20.93/21.22 ((~![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))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 20.93/21.22 tff(12304,plain,
% 20.93/21.22 (~m_main_v_state2(s150, c_n2)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12303, 10, 12300])).
% 20.93/21.22 tff(12305,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12306,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12307,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 20.93/21.22 tff(12308,plain,
% 20.93/21.22 (~node4(s150)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12307, 162, 12304])).
% 20.93/21.22 tff(12309,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12310,plain,
% 20.93/21.22 ((~![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)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12311,plain,
% 20.93/21.22 ((~![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))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 20.93/21.22 tff(12312,plain,
% 20.93/21.22 (~m_main_v_state2(s150, c_c2)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12311, 173, 12300])).
% 20.93/21.22 tff(12313,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12314,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12315,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 20.93/21.22 tff(12316,plain,
% 20.93/21.22 (~node3(s150)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12315, 184, 12312])).
% 20.93/21.22 tff(12317,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12318,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12319,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 20.93/21.22 tff(12320,plain,
% 20.93/21.22 (~node2(s150)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12319, 195, 12304])).
% 20.93/21.22 tff(12321,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12322,plain,
% 20.93/21.22 ((~![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)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12323,plain,
% 20.93/21.22 ((~![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))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 20.93/21.22 tff(12324,plain,
% 20.93/21.22 (~m_main_v_state1(s150, c_n1)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12323, 449, 12283])).
% 20.93/21.22 tff(12325,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12326,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12327,plain,
% 20.93/21.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 20.93/21.22 tff(12328,plain,
% 20.93/21.22 (~node1(s150)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12327, 249, 12324])).
% 20.93/21.22 tff(12329,plain,
% 20.93/21.22 (succ(s150, s151) <=> succ(s150, s151)),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12330,axiom,(succ(s150, s151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound151')).
% 20.93/21.22 tff(12331,plain,
% 20.93/21.22 (succ(s150, s151)),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 20.93/21.22 tff(12332,plain,
% 20.93/21.22 (((~![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))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12333,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12334,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 20.93/21.22 tff(12335,plain,
% 20.93/21.22 (trans(s150, s151)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12334, 12331, 57])).
% 20.93/21.22 tff(12336,plain,
% 20.93/21.22 (((~![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))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12337,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12338,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151)),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12337, 12336])).
% 20.93/21.22 tff(12339,plain,
% 20.93/21.22 (node7(s150, s151)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12338, 217, 12335])).
% 20.93/21.22 tff(12340,plain,
% 20.93/21.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12341,plain,
% 20.93/21.22 (((~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)))),
% 20.93/21.22 inference(rewrite,[status(thm)],[])).
% 20.93/21.22 tff(12342,plain,
% 20.93/21.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 20.93/21.22 inference(monotonicity,[status(thm)],[12341])).
% 20.93/21.22 tff(12343,plain,
% 20.93/21.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 20.93/21.22 inference(transitivity,[status(thm)],[12342, 12340])).
% 20.93/21.22 tff(12344,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))),
% 20.93/21.22 inference(quant_inst,[status(thm)],[])).
% 20.93/21.22 tff(12345,plain,
% 20.93/21.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))),
% 20.93/21.22 inference(modus_ponens,[status(thm)],[12344, 12343])).
% 20.93/21.22 tff(12346,plain,
% 20.93/21.22 (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12345, 478, 12339])).
% 20.93/21.22 tff(12347,plain,
% 20.93/21.22 (m_main_v_state1(s151, c_n1)),
% 20.93/21.22 inference(unit_resolution,[status(thm)],[12346, 12328, 12283, 12320, 12316, 12308, 12291])).
% 20.93/21.22 tff(12348,plain,
% 20.93/21.22 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12349,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12350,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 20.93/21.23 tff(12351,plain,
% 20.93/21.23 (~node15(s149)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12350, 21, 12260])).
% 20.93/21.23 tff(12352,plain,
% 20.93/21.23 (((~![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))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12353,plain,
% 20.93/21.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12354,plain,
% 20.93/21.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150)),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 20.93/21.23 tff(12355,plain,
% 20.93/21.23 (node18(s149, s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12354, 71, 12271])).
% 20.93/21.23 tff(12356,plain,
% 20.93/21.23 (((~![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(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))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12357,plain,
% 20.93/21.23 (((~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))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12358,plain,
% 20.93/21.23 (((~![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(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)))),
% 20.93/21.23 inference(monotonicity,[status(thm)],[12357])).
% 20.93/21.23 tff(12359,plain,
% 20.93/21.23 (((~![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(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))),
% 20.93/21.23 inference(transitivity,[status(thm)],[12358, 12356])).
% 20.93/21.23 tff(12360,plain,
% 20.93/21.23 ((~![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(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12361,plain,
% 20.93/21.23 ((~![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(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)),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 20.93/21.23 tff(12362,plain,
% 20.93/21.23 (node15(s149) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12361, 863, 12355])).
% 20.93/21.23 tff(12363,plain,
% 20.93/21.23 (m_main_v_turn(s150, c_1)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12362, 12351, 12188, 12256])).
% 20.93/21.23 tff(12364,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12365,plain,
% 20.93/21.23 ((~![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)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12366,plain,
% 20.93/21.23 ((~![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))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 20.93/21.23 tff(12367,plain,
% 20.93/21.23 (~m_main_v_turn(s150, c_2)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12366, 322, 12363])).
% 20.93/21.23 tff(12368,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12369,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12370,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 20.93/21.23 tff(12371,plain,
% 20.93/21.23 (~node12(s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12370, 350, 12367])).
% 20.93/21.23 tff(12372,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12373,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12374,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 20.93/21.23 tff(12375,plain,
% 20.93/21.23 (~node8(s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12374, 383, 12304])).
% 20.93/21.23 tff(12376,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12377,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12378,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12377, 12376])).
% 20.93/21.23 tff(12379,plain,
% 20.93/21.23 (~node9(s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12378, 311, 12304])).
% 20.93/21.23 tff(12380,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12381,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12382,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 20.93/21.23 tff(12383,plain,
% 20.93/21.23 (~node10(s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12382, 372, 12304])).
% 20.93/21.23 tff(12384,plain,
% 20.93/21.23 (((~![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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12385,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12386,plain,
% 20.93/21.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12385, 12384])).
% 20.93/21.23 tff(12387,plain,
% 20.93/21.23 (~node11(s150)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12386, 361, 12324])).
% 20.93/21.23 tff(12388,plain,
% 20.93/21.23 (((~![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))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12389,plain,
% 20.93/21.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12390,plain,
% 20.93/21.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151)),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 20.93/21.23 tff(12391,plain,
% 20.93/21.23 (node14(s150, s151)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12390, 130, 12335])).
% 20.93/21.23 tff(12392,plain,
% 20.93/21.23 (((~![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(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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12393,plain,
% 20.93/21.23 ((~![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(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 20.93/21.23 inference(quant_inst,[status(thm)],[])).
% 20.93/21.23 tff(12394,plain,
% 20.93/21.23 ((~![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(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151))),
% 20.93/21.23 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 20.93/21.23 tff(12395,plain,
% 20.93/21.23 (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12394, 401, 12391])).
% 20.93/21.23 tff(12396,plain,
% 20.93/21.23 (node13(s150, s151)),
% 20.93/21.23 inference(unit_resolution,[status(thm)],[12395, 12387, 12312, 12383, 12379, 12375, 12371])).
% 20.93/21.23 tff(12397,plain,
% 20.93/21.23 (((~![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(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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12398,plain,
% 20.93/21.23 (((~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)))),
% 20.93/21.23 inference(rewrite,[status(thm)],[])).
% 20.93/21.23 tff(12399,plain,
% 20.93/21.23 (((~![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))))),
% 20.93/21.24 inference(monotonicity,[status(thm)],[12398])).
% 20.93/21.24 tff(12400,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(transitivity,[status(thm)],[12399, 12397])).
% 20.93/21.24 tff(12401,plain,
% 20.93/21.24 ((~![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))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12402,plain,
% 20.93/21.24 ((~![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(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 20.93/21.24 tff(12403,plain,
% 20.93/21.24 (m_main_v_state2(s151, c_t2)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12402, 563, 12300, 12396])).
% 20.93/21.24 tff(12404,plain,
% 20.93/21.24 (succ(s151, s152) <=> succ(s151, s152)),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12405,axiom,(succ(s151, s152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound152')).
% 20.93/21.24 tff(12406,plain,
% 20.93/21.24 (succ(s151, s152)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12405, 12404])).
% 20.93/21.24 tff(12407,plain,
% 20.93/21.24 (((~![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))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12408,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12409,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 20.93/21.24 tff(12410,plain,
% 20.93/21.24 (trans(s151, s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12409, 12406, 57])).
% 20.93/21.24 tff(12411,plain,
% 20.93/21.24 (((~![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))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12412,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12413,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 20.93/21.24 tff(12414,plain,
% 20.93/21.24 (node7(s151, s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12413, 217, 12410])).
% 20.93/21.24 tff(12415,plain,
% 20.93/21.24 (((~![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(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))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12416,plain,
% 20.93/21.24 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12417,plain,
% 20.93/21.24 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 20.93/21.24 tff(12418,plain,
% 20.93/21.24 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_state1(s152, c_t1)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12417, 598, 12414])).
% 20.93/21.24 tff(12419,plain,
% 20.93/21.24 (m_main_v_state1(s152, c_t1)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12418, 12403, 12347])).
% 20.93/21.24 tff(12420,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12421,plain,
% 20.93/21.24 ((~![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)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12422,plain,
% 20.93/21.24 ((~![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))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12421, 12420])).
% 20.93/21.24 tff(12423,plain,
% 20.93/21.24 (~m_main_v_state1(s152, c_n1)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12422, 35, 12419])).
% 20.93/21.24 tff(12424,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12425,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12426,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 20.93/21.24 tff(12427,plain,
% 20.93/21.24 (~node1(s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12426, 249, 12423])).
% 20.93/21.24 tff(12428,plain,
% 20.93/21.24 (((~![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))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12429,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12430,plain,
% 20.93/21.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12429, 12428])).
% 20.93/21.24 tff(12431,plain,
% 20.93/21.24 (node18(s151, s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12430, 71, 12410])).
% 20.93/21.24 tff(12432,plain,
% 20.93/21.24 (((~![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(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))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12433,plain,
% 20.93/21.24 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12434,plain,
% 20.93/21.24 ((~![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(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2)),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12433, 12432])).
% 20.93/21.24 tff(12435,plain,
% 20.93/21.24 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_turn(s152, c_2)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12434, 625, 12431])).
% 20.93/21.24 tff(12436,plain,
% 20.93/21.24 (m_main_v_turn(s152, c_2)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12435, 12403, 12347])).
% 20.93/21.24 tff(12437,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12438,plain,
% 20.93/21.24 ((~![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)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12439,plain,
% 20.93/21.24 ((~![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))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 20.93/21.24 tff(12440,plain,
% 20.93/21.24 (~m_main_v_turn(s152, c_1)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12439, 322, 12436])).
% 20.93/21.24 tff(12441,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12442,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12443,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 20.93/21.24 tff(12444,plain,
% 20.93/21.24 (~node5(s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12443, 641, 12440])).
% 20.93/21.24 tff(12445,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12446,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12447,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 20.93/21.24 tff(12448,plain,
% 20.93/21.24 (~node2(s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12447, 652, 12423])).
% 20.93/21.24 tff(12449,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12450,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12451,plain,
% 20.93/21.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152))),
% 20.93/21.24 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 20.93/21.24 tff(12452,plain,
% 20.93/21.24 (~node3(s152)),
% 20.93/21.24 inference(unit_resolution,[status(thm)],[12451, 663, 12423])).
% 20.93/21.24 tff(12453,plain,
% 20.93/21.24 (((~![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)))),
% 20.93/21.24 inference(rewrite,[status(thm)],[])).
% 20.93/21.24 tff(12454,plain,
% 20.93/21.24 ((~![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)))),
% 20.93/21.24 inference(quant_inst,[status(thm)],[])).
% 20.93/21.24 tff(12455,plain,
% 20.93/21.24 ((~![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))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 20.93/21.25 tff(12456,plain,
% 20.93/21.25 (~m_main_v_state1(s152, c_c1)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12455, 289, 12419])).
% 20.93/21.25 tff(12457,plain,
% 20.93/21.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12458,plain,
% 20.93/21.25 (((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2))) <=> (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12459,plain,
% 20.93/21.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))))),
% 20.93/21.25 inference(monotonicity,[status(thm)],[12458])).
% 20.93/21.25 tff(12460,plain,
% 20.93/21.25 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 20.93/21.25 inference(transitivity,[status(thm)],[12459, 12457])).
% 20.93/21.25 tff(12461,plain,
% 20.93/21.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12462,plain,
% 20.93/21.25 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12461, 12460])).
% 20.93/21.25 tff(12463,plain,
% 20.93/21.25 (~m_main_v_state2(s151, c_n2)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12462, 416, 12304, 12396])).
% 20.93/21.25 tff(12464,plain,
% 20.93/21.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12465,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12466,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 20.93/21.25 tff(12467,plain,
% 20.93/21.25 (~node9(s151)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12466, 311, 12463])).
% 20.93/21.25 tff(12468,plain,
% 20.93/21.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12469,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12470,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 20.93/21.25 tff(12471,plain,
% 20.93/21.25 (~node10(s151)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12470, 372, 12463])).
% 20.93/21.25 tff(12472,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12473,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12474,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 20.93/21.25 tff(12475,plain,
% 20.93/21.25 (~node8(s151)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12474, 383, 12463])).
% 20.93/21.25 tff(12476,plain,
% 20.93/21.25 (((~![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))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12477,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12478,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152)),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12477, 12476])).
% 20.93/21.25 tff(12479,plain,
% 20.93/21.25 (node14(s151, s152)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12478, 130, 12410])).
% 20.93/21.25 tff(12480,plain,
% 20.93/21.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12481,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12482,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12481, 12480])).
% 20.93/21.25 tff(12483,plain,
% 20.93/21.25 ((~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)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12482, 704, 12479])).
% 20.93/21.25 tff(12484,plain,
% 20.93/21.25 (m_main_v_state2(s152, c_c2)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12483, 12475, 12347, 12403, 12471, 12467])).
% 20.93/21.25 tff(12485,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12486,plain,
% 20.93/21.25 ((~![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)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12487,plain,
% 20.93/21.25 ((~![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))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 20.93/21.25 tff(12488,plain,
% 20.93/21.25 (~m_main_v_state2(s152, c_n2)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12487, 716, 12484])).
% 20.93/21.25 tff(12489,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12490,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12491,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12490, 12489])).
% 20.93/21.25 tff(12492,plain,
% 20.93/21.25 (~node4(s152)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12491, 162, 12488])).
% 20.93/21.25 tff(12493,plain,
% 20.93/21.25 (succ(s152, s153) <=> succ(s152, s153)),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12494,axiom,(succ(s152, s153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound153')).
% 20.93/21.25 tff(12495,plain,
% 20.93/21.25 (succ(s152, s153)),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12494, 12493])).
% 20.93/21.25 tff(12496,plain,
% 20.93/21.25 (((~![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))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12497,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12498,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 20.93/21.25 tff(12499,plain,
% 20.93/21.25 (trans(s152, s153)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12498, 12495, 57])).
% 20.93/21.25 tff(12500,plain,
% 20.93/21.25 (((~![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))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12501,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12502,plain,
% 20.93/21.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153)),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 20.93/21.25 tff(12503,plain,
% 20.93/21.25 (node7(s152, s153)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12502, 217, 12499])).
% 20.93/21.25 tff(12504,plain,
% 20.93/21.25 (((~![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(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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12505,plain,
% 20.93/21.25 ((~![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(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12506,plain,
% 20.93/21.25 ((~![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(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 20.93/21.25 tff(12507,plain,
% 20.93/21.25 (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12506, 745, 12503])).
% 20.93/21.25 tff(12508,plain,
% 20.93/21.25 (node6(s152, s153)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12507, 12492, 12456, 12452, 12448, 12444, 12427])).
% 20.93/21.25 tff(12509,plain,
% 20.93/21.25 (((~![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(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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12510,plain,
% 20.93/21.25 (((~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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12511,plain,
% 20.93/21.25 (((~![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))))),
% 20.93/21.25 inference(monotonicity,[status(thm)],[12510])).
% 20.93/21.25 tff(12512,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(transitivity,[status(thm)],[12511, 12509])).
% 20.93/21.25 tff(12513,plain,
% 20.93/21.25 ((~![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))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12514,plain,
% 20.93/21.25 ((~![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(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12513, 12512])).
% 20.93/21.25 tff(12515,plain,
% 20.93/21.25 (m_main_v_state1(s153, c_t1)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12514, 760, 12419, 12508])).
% 20.93/21.25 tff(12516,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12517,plain,
% 20.93/21.25 ((~![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)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12518,plain,
% 20.93/21.25 ((~![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))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12517, 12516])).
% 20.93/21.25 tff(12519,plain,
% 20.93/21.25 (~m_main_v_state2(s152, c_t2)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12518, 173, 12484])).
% 20.93/21.25 tff(12520,plain,
% 20.93/21.25 (((~![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)))),
% 20.93/21.25 inference(rewrite,[status(thm)],[])).
% 20.93/21.25 tff(12521,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 20.93/21.25 inference(quant_inst,[status(thm)],[])).
% 20.93/21.25 tff(12522,plain,
% 20.93/21.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152))),
% 20.93/21.25 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 20.93/21.25 tff(12523,plain,
% 20.93/21.25 (~node12(s152)),
% 20.93/21.25 inference(unit_resolution,[status(thm)],[12522, 778, 12519])).
% 20.93/21.25 tff(12524,plain,
% 20.93/21.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12525,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12526,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 20.93/21.26 tff(12527,plain,
% 20.93/21.26 (~node11(s152)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12526, 361, 12423])).
% 20.93/21.26 tff(12528,plain,
% 20.93/21.26 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12529,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12530,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 20.93/21.26 tff(12531,plain,
% 20.93/21.26 (~node10(s152)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12530, 793, 12456])).
% 20.93/21.26 tff(12532,plain,
% 20.93/21.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12533,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12534,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 20.93/21.26 tff(12535,plain,
% 20.93/21.26 (~node9(s152)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12534, 804, 12423])).
% 20.93/21.26 tff(12536,plain,
% 20.93/21.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12537,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12538,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12537, 12536])).
% 20.93/21.26 tff(12539,plain,
% 20.93/21.26 (~node8(s152)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12538, 383, 12488])).
% 20.93/21.26 tff(12540,plain,
% 20.93/21.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12541,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12542,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153)),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12541, 12540])).
% 20.93/21.26 tff(12543,plain,
% 20.93/21.26 (node14(s152, s153)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12542, 130, 12499])).
% 20.93/21.26 tff(12544,plain,
% 20.93/21.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12545,plain,
% 20.93/21.26 (((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2)) <=> (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12546,plain,
% 20.93/21.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))))),
% 20.93/21.26 inference(monotonicity,[status(thm)],[12545])).
% 20.93/21.26 tff(12547,plain,
% 20.93/21.26 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 20.93/21.26 inference(transitivity,[status(thm)],[12546, 12544])).
% 20.93/21.26 tff(12548,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12549,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 20.93/21.26 tff(12550,plain,
% 20.93/21.26 (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~m_main_v_state2(s152, c_c2))),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12549, 826, 12543])).
% 20.93/21.26 tff(12551,plain,
% 20.93/21.26 (m_main_v_state2(s153, c_n2)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12550, 12539, 12484, 12535, 12531, 12527, 12523])).
% 20.93/21.26 tff(12552,plain,
% 20.93/21.26 (((~![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)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12553,plain,
% 20.93/21.26 ((~![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)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12554,plain,
% 20.93/21.26 ((~![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))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 20.93/21.26 tff(12555,plain,
% 20.93/21.26 (~m_main_v_state2(s153, c_t2)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12554, 10, 12551])).
% 20.93/21.26 tff(12556,plain,
% 20.93/21.26 (((~![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)))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12557,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12558,plain,
% 20.93/21.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153))),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12557, 12556])).
% 20.93/21.26 tff(12559,plain,
% 20.93/21.26 (~node15(s153)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12558, 21, 12555])).
% 20.93/21.26 tff(12560,plain,
% 20.93/21.26 (succ(s153, s154) <=> succ(s153, s154)),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12561,axiom,(succ(s153, s154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound154')).
% 20.93/21.26 tff(12562,plain,
% 20.93/21.26 (succ(s153, s154)),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 20.93/21.26 tff(12563,plain,
% 20.93/21.26 (((~![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))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12564,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12565,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12564, 12563])).
% 20.93/21.26 tff(12566,plain,
% 20.93/21.26 (trans(s153, s154)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12565, 12562, 57])).
% 20.93/21.26 tff(12567,plain,
% 20.93/21.26 (((~![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))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12568,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))),
% 20.93/21.26 inference(quant_inst,[status(thm)],[])).
% 20.93/21.26 tff(12569,plain,
% 20.93/21.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154)),
% 20.93/21.26 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 20.93/21.26 tff(12570,plain,
% 20.93/21.26 (node18(s153, s154)),
% 20.93/21.26 inference(unit_resolution,[status(thm)],[12569, 71, 12566])).
% 20.93/21.26 tff(12571,plain,
% 20.93/21.26 (((~![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(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))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12572,plain,
% 20.93/21.26 (((~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))),
% 20.93/21.26 inference(rewrite,[status(thm)],[])).
% 20.93/21.26 tff(12573,plain,
% 20.93/21.26 (((~![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(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)))),
% 20.93/21.27 inference(monotonicity,[status(thm)],[12572])).
% 20.93/21.27 tff(12574,plain,
% 20.93/21.27 (((~![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(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))),
% 20.93/21.27 inference(transitivity,[status(thm)],[12573, 12571])).
% 20.93/21.27 tff(12575,plain,
% 20.93/21.27 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12576,plain,
% 20.93/21.27 ((~![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(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)),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12575, 12574])).
% 20.93/21.27 tff(12577,plain,
% 20.93/21.27 (node15(s153) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12576, 863, 12570])).
% 20.93/21.27 tff(12578,plain,
% 20.93/21.27 (m_main_v_turn(s154, c_1)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12577, 12559, 12551, 12515])).
% 20.93/21.27 tff(12579,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12580,plain,
% 20.93/21.27 ((~![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)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12581,plain,
% 20.93/21.27 ((~![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))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 20.93/21.27 tff(12582,plain,
% 20.93/21.27 (~m_main_v_turn(s154, c_2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12581, 322, 12578])).
% 20.93/21.27 tff(12583,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12584,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12585,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 20.93/21.27 tff(12586,plain,
% 20.93/21.27 (~node12(s154)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12585, 350, 12582])).
% 20.93/21.27 tff(12587,plain,
% 20.93/21.27 (((~![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))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12588,plain,
% 20.93/21.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12589,plain,
% 20.93/21.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154)),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 20.93/21.27 tff(12590,plain,
% 20.93/21.27 (node14(s153, s154)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12589, 130, 12566])).
% 20.93/21.27 tff(12591,plain,
% 20.93/21.27 (((~![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(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))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12592,plain,
% 20.93/21.27 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12593,plain,
% 20.93/21.27 ((~![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(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2)),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 20.93/21.27 tff(12594,plain,
% 20.93/21.27 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state2(s154, c_t2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12593, 893, 12590])).
% 20.93/21.27 tff(12595,plain,
% 20.93/21.27 (m_main_v_state2(s154, c_t2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12594, 12515, 12551])).
% 20.93/21.27 tff(12596,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12597,plain,
% 20.93/21.27 ((~![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)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12598,plain,
% 20.93/21.27 ((~![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))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 20.93/21.27 tff(12599,plain,
% 20.93/21.27 (~m_main_v_state2(s154, c_n2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12598, 10, 12595])).
% 20.93/21.27 tff(12600,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12601,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12602,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 20.93/21.27 tff(12603,plain,
% 20.93/21.27 (~node8(s154)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12602, 383, 12599])).
% 20.93/21.27 tff(12604,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12605,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12606,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 20.93/21.27 tff(12607,plain,
% 20.93/21.27 (~node9(s154)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12606, 311, 12599])).
% 20.93/21.27 tff(12608,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12609,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12610,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12609, 12608])).
% 20.93/21.27 tff(12611,plain,
% 20.93/21.27 (~node10(s154)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12610, 372, 12599])).
% 20.93/21.27 tff(12612,plain,
% 20.93/21.27 (((~![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)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12613,plain,
% 20.93/21.27 ((~![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)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12614,plain,
% 20.93/21.27 ((~![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))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12613, 12612])).
% 20.93/21.27 tff(12615,plain,
% 20.93/21.27 (~m_main_v_state2(s154, c_c2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12614, 173, 12595])).
% 20.93/21.27 tff(12616,plain,
% 20.93/21.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12617,plain,
% 20.93/21.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12618,plain,
% 20.93/21.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12617, 12616])).
% 20.93/21.27 tff(12619,plain,
% 20.93/21.27 (~m_main_v_state2(s153, c_c2)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12618, 716, 12551])).
% 20.93/21.27 tff(12620,plain,
% 20.93/21.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12621,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 20.93/21.27 inference(quant_inst,[status(thm)],[])).
% 20.93/21.27 tff(12622,plain,
% 20.93/21.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153))),
% 20.93/21.27 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 20.93/21.27 tff(12623,plain,
% 20.93/21.27 (~node3(s153)),
% 20.93/21.27 inference(unit_resolution,[status(thm)],[12622, 184, 12619])).
% 20.93/21.27 tff(12624,plain,
% 20.93/21.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12625,plain,
% 20.93/21.27 (((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1))) <=> (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 20.93/21.27 inference(rewrite,[status(thm)],[])).
% 20.93/21.27 tff(12626,plain,
% 20.93/21.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))))),
% 20.93/21.28 inference(monotonicity,[status(thm)],[12625])).
% 20.93/21.28 tff(12627,plain,
% 20.93/21.28 (((~![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)))),
% 20.93/21.28 inference(transitivity,[status(thm)],[12626, 12624])).
% 20.93/21.28 tff(12628,plain,
% 20.93/21.28 ((~![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)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12629,plain,
% 20.93/21.28 ((~![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(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 20.93/21.28 tff(12630,plain,
% 20.93/21.28 (~m_main_v_state1(s153, c_n1)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12629, 936, 12423, 12508])).
% 20.93/21.28 tff(12631,plain,
% 20.93/21.28 (((~![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)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12632,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12633,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 20.93/21.28 tff(12634,plain,
% 20.93/21.28 (~node2(s153)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12633, 652, 12630])).
% 20.93/21.28 tff(12635,plain,
% 20.93/21.28 (((~![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)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12636,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12637,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 20.93/21.28 tff(12638,plain,
% 20.93/21.28 (~node1(s153)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12637, 206, 12555])).
% 20.93/21.28 tff(12639,plain,
% 20.93/21.28 (((~![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))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12640,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12641,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154)),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 20.93/21.28 tff(12642,plain,
% 20.93/21.28 (node7(s153, s154)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12641, 217, 12566])).
% 20.93/21.28 tff(12643,plain,
% 20.93/21.28 (((~![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(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)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12644,plain,
% 20.93/21.28 (((~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)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12645,plain,
% 20.93/21.28 (((~![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(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))))),
% 20.93/21.28 inference(monotonicity,[status(thm)],[12644])).
% 20.93/21.28 tff(12646,plain,
% 20.93/21.28 (((~![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(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)))),
% 20.93/21.28 inference(transitivity,[status(thm)],[12645, 12643])).
% 20.93/21.28 tff(12647,plain,
% 20.93/21.28 ((~![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(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))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12648,plain,
% 20.93/21.28 ((~![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(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))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 20.93/21.28 tff(12649,plain,
% 20.93/21.28 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12648, 965, 12642])).
% 20.93/21.28 tff(12650,plain,
% 20.93/21.28 (m_main_v_state1(s154, c_c1)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12649, 12638, 12551, 12515, 12634, 12623])).
% 20.93/21.28 tff(12651,plain,
% 20.93/21.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12652,plain,
% 20.93/21.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12653,plain,
% 20.93/21.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12652, 12651])).
% 20.93/21.28 tff(12654,plain,
% 20.93/21.28 (~m_main_v_state1(s154, c_n1)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12653, 449, 12650])).
% 20.93/21.28 tff(12655,plain,
% 20.93/21.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12656,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12657,plain,
% 20.93/21.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 20.93/21.28 tff(12658,plain,
% 20.93/21.28 (~node11(s154)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12657, 361, 12654])).
% 20.93/21.28 tff(12659,plain,
% 20.93/21.28 (succ(s154, s155) <=> succ(s154, s155)),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12660,axiom,(succ(s154, s155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound155')).
% 20.93/21.28 tff(12661,plain,
% 20.93/21.28 (succ(s154, s155)),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 20.93/21.28 tff(12662,plain,
% 20.93/21.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12663,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12664,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 20.93/21.28 tff(12665,plain,
% 20.93/21.28 (trans(s154, s155)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12664, 12661, 57])).
% 20.93/21.28 tff(12666,plain,
% 20.93/21.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12667,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12668,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155)),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 20.93/21.28 tff(12669,plain,
% 20.93/21.28 (node14(s154, s155)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12668, 130, 12665])).
% 20.93/21.28 tff(12670,plain,
% 20.93/21.28 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 20.93/21.28 inference(rewrite,[status(thm)],[])).
% 20.93/21.28 tff(12671,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 20.93/21.28 inference(quant_inst,[status(thm)],[])).
% 20.93/21.28 tff(12672,plain,
% 20.93/21.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155))),
% 20.93/21.28 inference(modus_ponens,[status(thm)],[12671, 12670])).
% 20.93/21.28 tff(12673,plain,
% 20.93/21.28 (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12672, 401, 12669])).
% 20.93/21.28 tff(12674,plain,
% 20.93/21.28 (node13(s154, s155)),
% 20.93/21.28 inference(unit_resolution,[status(thm)],[12673, 12658, 12615, 12611, 12607, 12603, 12586])).
% 20.93/21.28 tff(12675,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12676,plain,
% 20.93/21.29 (((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2))) <=> (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12677,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))))),
% 20.93/21.29 inference(monotonicity,[status(thm)],[12676])).
% 20.93/21.29 tff(12678,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 20.93/21.29 inference(transitivity,[status(thm)],[12677, 12675])).
% 20.93/21.29 tff(12679,plain,
% 20.93/21.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12680,plain,
% 20.93/21.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 20.93/21.29 tff(12681,plain,
% 20.93/21.29 (~m_main_v_state2(s155, c_n2)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12680, 416, 12599, 12674])).
% 20.93/21.29 tff(12682,plain,
% 20.93/21.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12683,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12684,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12683, 12682])).
% 20.93/21.29 tff(12685,plain,
% 20.93/21.29 (~node9(s155)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12684, 311, 12681])).
% 20.93/21.29 tff(12686,plain,
% 20.93/21.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12687,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12688,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12687, 12686])).
% 20.93/21.29 tff(12689,plain,
% 20.93/21.29 (~node10(s155)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12688, 372, 12681])).
% 20.93/21.29 tff(12690,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))) <=> ((~![V: $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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12691,plain,
% 20.93/21.29 (((~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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12692,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $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))))),
% 20.93/21.29 inference(monotonicity,[status(thm)],[12691])).
% 20.93/21.29 tff(12693,plain,
% 20.93/21.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $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)))),
% 20.93/21.29 inference(transitivity,[status(thm)],[12692, 12690])).
% 20.93/21.29 tff(12694,plain,
% 20.93/21.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12695,plain,
% 20.93/21.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 20.93/21.29 tff(12696,plain,
% 20.93/21.29 (m_main_v_state2(s155, c_t2)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12695, 563, 12595, 12674])).
% 20.93/21.29 tff(12697,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12698,plain,
% 20.93/21.29 ((~![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)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12699,plain,
% 20.93/21.29 ((~![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))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12698, 12697])).
% 20.93/21.29 tff(12700,plain,
% 20.93/21.29 (~m_main_v_state1(s154, c_t1)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12699, 289, 12650])).
% 20.93/21.29 tff(12701,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12702,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12703,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 20.93/21.29 tff(12704,plain,
% 20.93/21.29 (~node5(s154)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12703, 300, 12700])).
% 20.93/21.29 tff(12705,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12706,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12707,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 20.93/21.29 tff(12708,plain,
% 20.93/21.29 (~node4(s154)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12707, 162, 12599])).
% 20.93/21.29 tff(12709,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12710,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12711,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 20.93/21.29 tff(12712,plain,
% 20.93/21.29 (~node3(s154)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12711, 184, 12615])).
% 20.93/21.29 tff(12713,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12714,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12715,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 20.93/21.29 tff(12716,plain,
% 20.93/21.29 (~node2(s154)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12715, 195, 12599])).
% 20.93/21.29 tff(12717,plain,
% 20.93/21.29 (((~![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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12718,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12719,plain,
% 20.93/21.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154))),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12718, 12717])).
% 20.93/21.29 tff(12720,plain,
% 20.93/21.29 (~node1(s154)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12719, 249, 12654])).
% 20.93/21.29 tff(12721,plain,
% 20.93/21.29 (((~![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))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12722,plain,
% 20.93/21.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))),
% 20.93/21.29 inference(quant_inst,[status(thm)],[])).
% 20.93/21.29 tff(12723,plain,
% 20.93/21.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155)),
% 20.93/21.29 inference(modus_ponens,[status(thm)],[12722, 12721])).
% 20.93/21.29 tff(12724,plain,
% 20.93/21.29 (node7(s154, s155)),
% 20.93/21.29 inference(unit_resolution,[status(thm)],[12723, 217, 12665])).
% 20.93/21.29 tff(12725,plain,
% 20.93/21.29 (((~![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(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)))),
% 20.93/21.29 inference(rewrite,[status(thm)],[])).
% 20.93/21.29 tff(12726,plain,
% 20.93/21.29 (((~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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12727,plain,
% 21.01/21.30 (((~![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(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))))),
% 21.01/21.30 inference(monotonicity,[status(thm)],[12726])).
% 21.01/21.30 tff(12728,plain,
% 21.01/21.30 (((~![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(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)))),
% 21.01/21.30 inference(transitivity,[status(thm)],[12727, 12725])).
% 21.01/21.30 tff(12729,plain,
% 21.01/21.30 ((~![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(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12730,plain,
% 21.01/21.30 ((~![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(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 21.01/21.30 tff(12731,plain,
% 21.01/21.30 (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12730, 478, 12724])).
% 21.01/21.30 tff(12732,plain,
% 21.01/21.30 (m_main_v_state1(s155, c_n1)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12731, 12720, 12650, 12716, 12712, 12708, 12704])).
% 21.01/21.30 tff(12733,plain,
% 21.01/21.30 (((~![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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12734,plain,
% 21.01/21.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12735,plain,
% 21.01/21.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155))),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 21.01/21.30 tff(12736,plain,
% 21.01/21.30 (~node8(s155)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12735, 383, 12681])).
% 21.01/21.30 tff(12737,plain,
% 21.01/21.30 (succ(s155, s156) <=> succ(s155, s156)),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12738,axiom,(succ(s155, s156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound156')).
% 21.01/21.30 tff(12739,plain,
% 21.01/21.30 (succ(s155, s156)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 21.01/21.30 tff(12740,plain,
% 21.01/21.30 (((~![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))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12741,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12742,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12741, 12740])).
% 21.01/21.30 tff(12743,plain,
% 21.01/21.30 (trans(s155, s156)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12742, 12739, 57])).
% 21.01/21.30 tff(12744,plain,
% 21.01/21.30 (((~![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))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12745,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12746,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 21.01/21.30 tff(12747,plain,
% 21.01/21.30 (node14(s155, s156)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12746, 130, 12743])).
% 21.01/21.30 tff(12748,plain,
% 21.01/21.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12749,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12750,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_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)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12749, 12748])).
% 21.01/21.30 tff(12751,plain,
% 21.01/21.30 ((~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)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12750, 704, 12747])).
% 21.01/21.30 tff(12752,plain,
% 21.01/21.30 (m_main_v_state2(s156, c_c2)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12751, 12736, 12732, 12696, 12689, 12685])).
% 21.01/21.30 tff(12753,plain,
% 21.01/21.30 (((~![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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12754,plain,
% 21.01/21.30 ((~![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)))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12755,plain,
% 21.01/21.30 ((~![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))),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 21.01/21.30 tff(12756,plain,
% 21.01/21.30 (~m_main_v_state2(s156, c_t2)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12755, 173, 12752])).
% 21.01/21.30 tff(12757,plain,
% 21.01/21.30 (((~![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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12758,plain,
% 21.01/21.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12759,plain,
% 21.01/21.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156))),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 21.01/21.30 tff(12760,plain,
% 21.01/21.30 (~node12(s156)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12759, 778, 12756])).
% 21.01/21.30 tff(12761,plain,
% 21.01/21.30 (((~![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))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12762,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12763,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 21.01/21.30 tff(12764,plain,
% 21.01/21.30 (node7(s155, s156)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12763, 217, 12743])).
% 21.01/21.30 tff(12765,plain,
% 21.01/21.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12766,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12767,plain,
% 21.01/21.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(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)),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 21.01/21.30 tff(12768,plain,
% 21.01/21.30 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_state1(s156, c_t1)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12767, 598, 12764])).
% 21.01/21.30 tff(12769,plain,
% 21.01/21.30 (m_main_v_state1(s156, c_t1)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12768, 12696, 12732])).
% 21.01/21.30 tff(12770,plain,
% 21.01/21.30 (((~![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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12771,plain,
% 21.01/21.30 ((~![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)))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.30 tff(12772,plain,
% 21.01/21.30 ((~![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))),
% 21.01/21.30 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 21.01/21.30 tff(12773,plain,
% 21.01/21.30 (~m_main_v_state1(s156, c_n1)),
% 21.01/21.30 inference(unit_resolution,[status(thm)],[12772, 35, 12769])).
% 21.01/21.30 tff(12774,plain,
% 21.01/21.30 (((~![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)))),
% 21.01/21.30 inference(rewrite,[status(thm)],[])).
% 21.01/21.30 tff(12775,plain,
% 21.01/21.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 21.01/21.30 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12776,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 21.01/21.31 tff(12777,plain,
% 21.01/21.31 (~node11(s156)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12776, 361, 12773])).
% 21.01/21.31 tff(12778,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12779,plain,
% 21.01/21.31 ((~![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)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12780,plain,
% 21.01/21.31 ((~![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))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 21.01/21.31 tff(12781,plain,
% 21.01/21.31 (~m_main_v_state1(s156, c_c1)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12780, 289, 12769])).
% 21.01/21.31 tff(12782,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12783,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12784,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12783, 12782])).
% 21.01/21.31 tff(12785,plain,
% 21.01/21.31 (~node10(s156)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12784, 793, 12781])).
% 21.01/21.31 tff(12786,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12787,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12788,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 21.01/21.31 tff(12789,plain,
% 21.01/21.31 (~node9(s156)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12788, 804, 12773])).
% 21.01/21.31 tff(12790,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12791,plain,
% 21.01/21.31 ((~![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)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12792,plain,
% 21.01/21.31 ((~![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))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 21.01/21.31 tff(12793,plain,
% 21.01/21.31 (~m_main_v_state2(s156, c_n2)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12792, 716, 12752])).
% 21.01/21.31 tff(12794,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12795,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12796,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 21.01/21.31 tff(12797,plain,
% 21.01/21.31 (~node8(s156)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12796, 383, 12793])).
% 21.01/21.31 tff(12798,plain,
% 21.01/21.31 (succ(s156, s157) <=> succ(s156, s157)),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12799,axiom,(succ(s156, s157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound157')).
% 21.01/21.31 tff(12800,plain,
% 21.01/21.31 (succ(s156, s157)),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12799, 12798])).
% 21.01/21.31 tff(12801,plain,
% 21.01/21.31 (((~![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))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12802,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12803,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 21.01/21.31 tff(12804,plain,
% 21.01/21.31 (trans(s156, s157)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12803, 12800, 57])).
% 21.01/21.31 tff(12805,plain,
% 21.01/21.31 (((~![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))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12806,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12807,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157)),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 21.01/21.31 tff(12808,plain,
% 21.01/21.31 (node14(s156, s157)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12807, 130, 12804])).
% 21.01/21.31 tff(12809,plain,
% 21.01/21.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12810,plain,
% 21.01/21.31 (((~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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12811,plain,
% 21.01/21.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 21.01/21.31 inference(monotonicity,[status(thm)],[12810])).
% 21.01/21.31 tff(12812,plain,
% 21.01/21.31 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.01/21.31 inference(transitivity,[status(thm)],[12811, 12809])).
% 21.01/21.31 tff(12813,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12814,plain,
% 21.01/21.31 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 21.01/21.31 tff(12815,plain,
% 21.01/21.31 (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~m_main_v_state2(s156, c_c2))),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12814, 826, 12808])).
% 21.01/21.31 tff(12816,plain,
% 21.01/21.31 (m_main_v_state2(s157, c_n2)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12815, 12797, 12752, 12789, 12785, 12777, 12760])).
% 21.01/21.31 tff(12817,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12818,plain,
% 21.01/21.31 ((~![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)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12819,plain,
% 21.01/21.31 ((~![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))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 21.01/21.31 tff(12820,plain,
% 21.01/21.31 (~m_main_v_state2(s157, c_c2)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12819, 716, 12816])).
% 21.01/21.31 tff(12821,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12822,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12823,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12822, 12821])).
% 21.01/21.31 tff(12824,plain,
% 21.01/21.31 (~node3(s157)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12823, 184, 12820])).
% 21.01/21.31 tff(12825,plain,
% 21.01/21.31 (((~![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)))),
% 21.01/21.31 inference(rewrite,[status(thm)],[])).
% 21.01/21.31 tff(12826,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 21.01/21.31 inference(quant_inst,[status(thm)],[])).
% 21.01/21.31 tff(12827,plain,
% 21.01/21.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156))),
% 21.01/21.31 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 21.01/21.31 tff(12828,plain,
% 21.01/21.31 (~node1(s156)),
% 21.01/21.31 inference(unit_resolution,[status(thm)],[12827, 249, 12773])).
% 21.01/21.31 tff(12829,plain,
% 21.01/21.31 (((~![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))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12830,plain,
% 21.01/21.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12831,plain,
% 21.01/21.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156)),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 21.01/21.32 tff(12832,plain,
% 21.01/21.32 (node18(s155, s156)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12831, 71, 12743])).
% 21.01/21.32 tff(12833,plain,
% 21.01/21.32 (((~![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(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))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12834,plain,
% 21.01/21.32 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12835,plain,
% 21.01/21.32 ((~![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(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2)),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 21.01/21.32 tff(12836,plain,
% 21.01/21.32 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_turn(s156, c_2)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12835, 625, 12832])).
% 21.01/21.32 tff(12837,plain,
% 21.01/21.32 (m_main_v_turn(s156, c_2)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12836, 12696, 12732])).
% 21.01/21.32 tff(12838,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12839,plain,
% 21.01/21.32 ((~![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)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12840,plain,
% 21.01/21.32 ((~![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))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12839, 12838])).
% 21.01/21.32 tff(12841,plain,
% 21.01/21.32 (~m_main_v_turn(s156, c_1)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12840, 322, 12837])).
% 21.01/21.32 tff(12842,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12843,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12844,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 21.01/21.32 tff(12845,plain,
% 21.01/21.32 (~node5(s156)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12844, 641, 12841])).
% 21.01/21.32 tff(12846,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12847,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12848,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12847, 12846])).
% 21.01/21.32 tff(12849,plain,
% 21.01/21.32 (~node2(s156)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12848, 652, 12773])).
% 21.01/21.32 tff(12850,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12851,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12852,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12851, 12850])).
% 21.01/21.32 tff(12853,plain,
% 21.01/21.32 (~node3(s156)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12852, 663, 12773])).
% 21.01/21.32 tff(12854,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12855,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12856,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12855, 12854])).
% 21.01/21.32 tff(12857,plain,
% 21.01/21.32 (~node4(s156)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12856, 162, 12793])).
% 21.01/21.32 tff(12858,plain,
% 21.01/21.32 (((~![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))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12859,plain,
% 21.01/21.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12860,plain,
% 21.01/21.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157)),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 21.01/21.32 tff(12861,plain,
% 21.01/21.32 (node7(s156, s157)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12860, 217, 12804])).
% 21.01/21.32 tff(12862,plain,
% 21.01/21.32 (((~![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(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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12863,plain,
% 21.01/21.32 ((~![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(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12864,plain,
% 21.01/21.32 ((~![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(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 21.01/21.32 tff(12865,plain,
% 21.01/21.32 (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12864, 745, 12861])).
% 21.01/21.32 tff(12866,plain,
% 21.01/21.32 (node6(s156, s157)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12865, 12857, 12781, 12853, 12849, 12845, 12828])).
% 21.01/21.32 tff(12867,plain,
% 21.01/21.32 (((~![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(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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12868,plain,
% 21.01/21.32 (((~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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12869,plain,
% 21.01/21.32 (((~![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))))),
% 21.01/21.32 inference(monotonicity,[status(thm)],[12868])).
% 21.01/21.32 tff(12870,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(transitivity,[status(thm)],[12869, 12867])).
% 21.01/21.32 tff(12871,plain,
% 21.01/21.32 ((~![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)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12872,plain,
% 21.01/21.32 ((~![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(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 21.01/21.32 tff(12873,plain,
% 21.01/21.32 (~m_main_v_state1(s157, c_n1)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12872, 936, 12773, 12866])).
% 21.01/21.32 tff(12874,plain,
% 21.01/21.32 (((~![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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12875,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 21.01/21.32 inference(quant_inst,[status(thm)],[])).
% 21.01/21.32 tff(12876,plain,
% 21.01/21.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157))),
% 21.01/21.32 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 21.01/21.32 tff(12877,plain,
% 21.01/21.32 (~node2(s157)),
% 21.01/21.32 inference(unit_resolution,[status(thm)],[12876, 652, 12873])).
% 21.01/21.32 tff(12878,plain,
% 21.01/21.32 (((~![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(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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12879,plain,
% 21.01/21.32 (((~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)))),
% 21.01/21.32 inference(rewrite,[status(thm)],[])).
% 21.01/21.32 tff(12880,plain,
% 21.01/21.32 (((~![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))))),
% 21.01/21.33 inference(monotonicity,[status(thm)],[12879])).
% 21.01/21.33 tff(12881,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.33 inference(transitivity,[status(thm)],[12880, 12878])).
% 21.01/21.33 tff(12882,plain,
% 21.01/21.33 ((~![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))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12883,plain,
% 21.01/21.33 ((~![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(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12882, 12881])).
% 21.01/21.33 tff(12884,plain,
% 21.01/21.33 (m_main_v_state1(s157, c_t1)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12883, 760, 12769, 12866])).
% 21.01/21.33 tff(12885,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12886,plain,
% 21.01/21.33 ((~![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)))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12887,plain,
% 21.01/21.33 ((~![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))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 21.01/21.33 tff(12888,plain,
% 21.01/21.33 (~m_main_v_state2(s157, c_t2)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12887, 10, 12816])).
% 21.01/21.33 tff(12889,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12890,plain,
% 21.01/21.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12891,plain,
% 21.01/21.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12890, 12889])).
% 21.01/21.33 tff(12892,plain,
% 21.01/21.33 (~node1(s157)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12891, 206, 12888])).
% 21.01/21.33 tff(12893,plain,
% 21.01/21.33 (succ(s157, s158) <=> succ(s157, s158)),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12894,axiom,(succ(s157, s158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound158')).
% 21.01/21.33 tff(12895,plain,
% 21.01/21.33 (succ(s157, s158)),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 21.01/21.33 tff(12896,plain,
% 21.01/21.33 (((~![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))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12897,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12898,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12897, 12896])).
% 21.01/21.33 tff(12899,plain,
% 21.01/21.33 (trans(s157, s158)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12898, 12895, 57])).
% 21.01/21.33 tff(12900,plain,
% 21.01/21.33 (((~![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))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12901,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12902,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158)),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 21.01/21.33 tff(12903,plain,
% 21.01/21.33 (node7(s157, s158)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12902, 217, 12899])).
% 21.01/21.33 tff(12904,plain,
% 21.01/21.33 (((~![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(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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12905,plain,
% 21.01/21.33 (((~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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12906,plain,
% 21.01/21.33 (((~![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(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))))),
% 21.01/21.33 inference(monotonicity,[status(thm)],[12905])).
% 21.01/21.33 tff(12907,plain,
% 21.01/21.33 (((~![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(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)))),
% 21.01/21.33 inference(transitivity,[status(thm)],[12906, 12904])).
% 21.01/21.33 tff(12908,plain,
% 21.01/21.33 ((~![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(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))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12909,plain,
% 21.01/21.33 ((~![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(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))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 21.01/21.33 tff(12910,plain,
% 21.01/21.33 ((~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)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12909, 965, 12903])).
% 21.01/21.33 tff(12911,plain,
% 21.01/21.33 (m_main_v_state1(s158, c_c1)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12910, 12892, 12816, 12884, 12877, 12824])).
% 21.01/21.33 tff(12912,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12913,plain,
% 21.01/21.33 ((~![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)))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12914,plain,
% 21.01/21.33 ((~![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))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 21.01/21.33 tff(12915,plain,
% 21.01/21.33 (~m_main_v_state1(s158, c_t1)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12914, 289, 12911])).
% 21.01/21.33 tff(12916,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12917,plain,
% 21.01/21.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12918,plain,
% 21.01/21.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158))),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12917, 12916])).
% 21.01/21.33 tff(12919,plain,
% 21.01/21.33 (~node5(s158)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12918, 300, 12915])).
% 21.01/21.33 tff(12920,plain,
% 21.01/21.33 (((~![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))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12921,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12922,plain,
% 21.01/21.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158)),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12921, 12920])).
% 21.01/21.33 tff(12923,plain,
% 21.01/21.33 (node14(s157, s158)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12922, 130, 12899])).
% 21.01/21.33 tff(12924,plain,
% 21.01/21.33 (((~![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(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))),
% 21.01/21.33 inference(rewrite,[status(thm)],[])).
% 21.01/21.33 tff(12925,plain,
% 21.01/21.33 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 21.01/21.33 inference(quant_inst,[status(thm)],[])).
% 21.01/21.33 tff(12926,plain,
% 21.01/21.33 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2)),
% 21.01/21.33 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 21.01/21.33 tff(12927,plain,
% 21.01/21.33 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state2(s158, c_t2)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12926, 893, 12923])).
% 21.01/21.33 tff(12928,plain,
% 21.01/21.33 (m_main_v_state2(s158, c_t2)),
% 21.01/21.33 inference(unit_resolution,[status(thm)],[12927, 12884, 12816])).
% 21.01/21.33 tff(12929,plain,
% 21.01/21.33 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12930,plain,
% 21.01/21.34 ((~![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)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12931,plain,
% 21.01/21.34 ((~![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))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12930, 12929])).
% 21.01/21.34 tff(12932,plain,
% 21.01/21.34 (~m_main_v_state2(s158, c_n2)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12931, 10, 12928])).
% 21.01/21.34 tff(12933,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12934,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12935,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 21.01/21.34 tff(12936,plain,
% 21.01/21.34 (~node4(s158)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12935, 162, 12932])).
% 21.01/21.34 tff(12937,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12938,plain,
% 21.01/21.34 ((~![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)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12939,plain,
% 21.01/21.34 ((~![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))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 21.01/21.34 tff(12940,plain,
% 21.01/21.34 (~m_main_v_state2(s158, c_c2)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12939, 173, 12928])).
% 21.01/21.34 tff(12941,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12942,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12943,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 21.01/21.34 tff(12944,plain,
% 21.01/21.34 (~node3(s158)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12943, 184, 12940])).
% 21.01/21.34 tff(12945,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12946,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12947,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 21.01/21.34 tff(12948,plain,
% 21.01/21.34 (~node2(s158)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12947, 195, 12932])).
% 21.01/21.34 tff(12949,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12950,plain,
% 21.01/21.34 ((~![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)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12951,plain,
% 21.01/21.34 ((~![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))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 21.01/21.34 tff(12952,plain,
% 21.01/21.34 (~m_main_v_state1(s158, c_n1)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12951, 449, 12911])).
% 21.01/21.34 tff(12953,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12954,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12955,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 21.01/21.34 tff(12956,plain,
% 21.01/21.34 (~node1(s158)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12955, 249, 12952])).
% 21.01/21.34 tff(12957,plain,
% 21.01/21.34 (succ(s158, s159) <=> succ(s158, s159)),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12958,axiom,(succ(s158, s159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound159')).
% 21.01/21.34 tff(12959,plain,
% 21.01/21.34 (succ(s158, s159)),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 21.01/21.34 tff(12960,plain,
% 21.01/21.34 (((~![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))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12961,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12962,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12961, 12960])).
% 21.01/21.34 tff(12963,plain,
% 21.01/21.34 (trans(s158, s159)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12962, 12959, 57])).
% 21.01/21.34 tff(12964,plain,
% 21.01/21.34 (((~![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))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12965,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12966,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159)),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 21.01/21.34 tff(12967,plain,
% 21.01/21.34 (node7(s158, s159)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12966, 217, 12963])).
% 21.01/21.34 tff(12968,plain,
% 21.01/21.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12969,plain,
% 21.01/21.34 (((~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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12970,plain,
% 21.01/21.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 21.01/21.34 inference(monotonicity,[status(thm)],[12969])).
% 21.01/21.34 tff(12971,plain,
% 21.01/21.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 21.01/21.34 inference(transitivity,[status(thm)],[12970, 12968])).
% 21.01/21.34 tff(12972,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12973,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12972, 12971])).
% 21.01/21.34 tff(12974,plain,
% 21.01/21.34 (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12973, 478, 12967])).
% 21.01/21.34 tff(12975,plain,
% 21.01/21.34 (m_main_v_state1(s159, c_n1)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12974, 12956, 12911, 12948, 12944, 12936, 12919])).
% 21.01/21.34 tff(12976,plain,
% 21.01/21.34 (((~![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)))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12977,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12978,plain,
% 21.01/21.34 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157))),
% 21.01/21.34 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 21.01/21.34 tff(12979,plain,
% 21.01/21.34 (~node15(s157)),
% 21.01/21.34 inference(unit_resolution,[status(thm)],[12978, 21, 12888])).
% 21.01/21.34 tff(12980,plain,
% 21.01/21.34 (((~![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))),
% 21.01/21.34 inference(rewrite,[status(thm)],[])).
% 21.01/21.34 tff(12981,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))),
% 21.01/21.34 inference(quant_inst,[status(thm)],[])).
% 21.01/21.34 tff(12982,plain,
% 21.01/21.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158)),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 21.01/21.35 tff(12983,plain,
% 21.01/21.35 (node18(s157, s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[12982, 71, 12899])).
% 21.01/21.35 tff(12984,plain,
% 21.01/21.35 (((~![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(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))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(12985,plain,
% 21.01/21.35 (((~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))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(12986,plain,
% 21.01/21.35 (((~![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(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)))),
% 21.01/21.35 inference(monotonicity,[status(thm)],[12985])).
% 21.01/21.35 tff(12987,plain,
% 21.01/21.35 (((~![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(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))),
% 21.01/21.35 inference(transitivity,[status(thm)],[12986, 12984])).
% 21.01/21.35 tff(12988,plain,
% 21.01/21.35 ((~![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(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(12989,plain,
% 21.01/21.35 ((~![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(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)),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[12988, 12987])).
% 21.01/21.35 tff(12990,plain,
% 21.01/21.35 (node15(s157) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[12989, 863, 12983])).
% 21.01/21.35 tff(12991,plain,
% 21.01/21.35 (m_main_v_turn(s158, c_1)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[12990, 12979, 12816, 12884])).
% 21.01/21.35 tff(12992,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(12993,plain,
% 21.01/21.35 ((~![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)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(12994,plain,
% 21.01/21.35 ((~![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))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 21.01/21.35 tff(12995,plain,
% 21.01/21.35 (~m_main_v_turn(s158, c_2)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[12994, 322, 12991])).
% 21.01/21.35 tff(12996,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(12997,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(12998,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[12997, 12996])).
% 21.01/21.35 tff(12999,plain,
% 21.01/21.35 (~node12(s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[12998, 350, 12995])).
% 21.01/21.35 tff(13000,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13001,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13002,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13001, 13000])).
% 21.01/21.35 tff(13003,plain,
% 21.01/21.35 (~node8(s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13002, 383, 12932])).
% 21.01/21.35 tff(13004,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13005,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13006,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13005, 13004])).
% 21.01/21.35 tff(13007,plain,
% 21.01/21.35 (~node9(s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13006, 311, 12932])).
% 21.01/21.35 tff(13008,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13009,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13010,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13009, 13008])).
% 21.01/21.35 tff(13011,plain,
% 21.01/21.35 (~node10(s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13010, 372, 12932])).
% 21.01/21.35 tff(13012,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13013,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13014,plain,
% 21.01/21.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 21.01/21.35 tff(13015,plain,
% 21.01/21.35 (~node11(s158)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13014, 361, 12952])).
% 21.01/21.35 tff(13016,plain,
% 21.01/21.35 (((~![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))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13017,plain,
% 21.01/21.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13018,plain,
% 21.01/21.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159)),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 21.01/21.35 tff(13019,plain,
% 21.01/21.35 (node14(s158, s159)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13018, 130, 12963])).
% 21.01/21.35 tff(13020,plain,
% 21.01/21.35 (((~![Y: $i, X: $i] : (m_main_v_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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13021,plain,
% 21.01/21.35 ((~![Y: $i, X: $i] : (m_main_v_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)))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.35 tff(13022,plain,
% 21.01/21.35 ((~![Y: $i, X: $i] : (m_main_v_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))),
% 21.01/21.35 inference(modus_ponens,[status(thm)],[13021, 13020])).
% 21.01/21.35 tff(13023,plain,
% 21.01/21.35 (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13022, 401, 13019])).
% 21.01/21.35 tff(13024,plain,
% 21.01/21.35 (node13(s158, s159)),
% 21.01/21.35 inference(unit_resolution,[status(thm)],[13023, 13015, 12940, 13011, 13007, 13003, 12999])).
% 21.01/21.35 tff(13025,plain,
% 21.01/21.35 (((~![V: $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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13026,plain,
% 21.01/21.35 (((~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)))),
% 21.01/21.35 inference(rewrite,[status(thm)],[])).
% 21.01/21.35 tff(13027,plain,
% 21.01/21.35 (((~![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))))),
% 21.01/21.35 inference(monotonicity,[status(thm)],[13026])).
% 21.01/21.35 tff(13028,plain,
% 21.01/21.35 (((~![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)))),
% 21.01/21.35 inference(transitivity,[status(thm)],[13027, 13025])).
% 21.01/21.35 tff(13029,plain,
% 21.01/21.35 ((~![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))),
% 21.01/21.35 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13030,plain,
% 21.01/21.36 ((~![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(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 21.01/21.36 tff(13031,plain,
% 21.01/21.36 (m_main_v_state2(s159, c_t2)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13030, 563, 12928, 13024])).
% 21.01/21.36 tff(13032,plain,
% 21.01/21.36 (succ(s159, s160) <=> succ(s159, s160)),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13033,axiom,(succ(s159, s160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound160')).
% 21.01/21.36 tff(13034,plain,
% 21.01/21.36 (succ(s159, s160)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 21.01/21.36 tff(13035,plain,
% 21.01/21.36 (((~![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))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13036,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13037,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13036, 13035])).
% 21.01/21.36 tff(13038,plain,
% 21.01/21.36 (trans(s159, s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13037, 13034, 57])).
% 21.01/21.36 tff(13039,plain,
% 21.01/21.36 (((~![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))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13040,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13041,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 21.01/21.36 tff(13042,plain,
% 21.01/21.36 (node7(s159, s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13041, 217, 13038])).
% 21.01/21.36 tff(13043,plain,
% 21.01/21.36 (((~![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(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))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13044,plain,
% 21.01/21.36 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13045,plain,
% 21.01/21.36 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13044, 13043])).
% 21.01/21.36 tff(13046,plain,
% 21.01/21.36 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_state1(s160, c_t1)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13045, 598, 13042])).
% 21.01/21.36 tff(13047,plain,
% 21.01/21.36 (m_main_v_state1(s160, c_t1)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13046, 13031, 12975])).
% 21.01/21.36 tff(13048,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13049,plain,
% 21.01/21.36 ((~![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)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13050,plain,
% 21.01/21.36 ((~![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))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 21.01/21.36 tff(13051,plain,
% 21.01/21.36 (~m_main_v_state1(s160, c_n1)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13050, 35, 13047])).
% 21.01/21.36 tff(13052,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13053,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13054,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 21.01/21.36 tff(13055,plain,
% 21.01/21.36 (~node1(s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13054, 249, 13051])).
% 21.01/21.36 tff(13056,plain,
% 21.01/21.36 (((~![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))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13057,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13058,plain,
% 21.01/21.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13057, 13056])).
% 21.01/21.36 tff(13059,plain,
% 21.01/21.36 (node18(s159, s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13058, 71, 13038])).
% 21.01/21.36 tff(13060,plain,
% 21.01/21.36 (((~![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(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))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13061,plain,
% 21.01/21.36 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13062,plain,
% 21.01/21.36 ((~![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(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2)),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13061, 13060])).
% 21.01/21.36 tff(13063,plain,
% 21.01/21.36 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_turn(s160, c_2)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13062, 625, 13059])).
% 21.01/21.36 tff(13064,plain,
% 21.01/21.36 (m_main_v_turn(s160, c_2)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13063, 13031, 12975])).
% 21.01/21.36 tff(13065,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13066,plain,
% 21.01/21.36 ((~![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)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13067,plain,
% 21.01/21.36 ((~![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))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 21.01/21.36 tff(13068,plain,
% 21.01/21.36 (~m_main_v_turn(s160, c_1)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13067, 322, 13064])).
% 21.01/21.36 tff(13069,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13070,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13071,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 21.01/21.36 tff(13072,plain,
% 21.01/21.36 (~node5(s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13071, 641, 13068])).
% 21.01/21.36 tff(13073,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13074,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13075,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 21.01/21.36 tff(13076,plain,
% 21.01/21.36 (~node2(s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13075, 652, 13051])).
% 21.01/21.36 tff(13077,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13078,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13079,plain,
% 21.01/21.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 21.01/21.36 tff(13080,plain,
% 21.01/21.36 (~node3(s160)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13079, 663, 13051])).
% 21.01/21.36 tff(13081,plain,
% 21.01/21.36 (((~![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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13082,plain,
% 21.01/21.36 ((~![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)))),
% 21.01/21.36 inference(quant_inst,[status(thm)],[])).
% 21.01/21.36 tff(13083,plain,
% 21.01/21.36 ((~![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))),
% 21.01/21.36 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 21.01/21.36 tff(13084,plain,
% 21.01/21.36 (~m_main_v_state1(s160, c_c1)),
% 21.01/21.36 inference(unit_resolution,[status(thm)],[13083, 289, 13047])).
% 21.01/21.36 tff(13085,plain,
% 21.01/21.36 (((~![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(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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13086,plain,
% 21.01/21.36 (((~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)))),
% 21.01/21.36 inference(rewrite,[status(thm)],[])).
% 21.01/21.36 tff(13087,plain,
% 21.01/21.36 (((~![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))))),
% 21.01/21.37 inference(monotonicity,[status(thm)],[13086])).
% 21.01/21.37 tff(13088,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(transitivity,[status(thm)],[13087, 13085])).
% 21.01/21.37 tff(13089,plain,
% 21.01/21.37 ((~![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)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13090,plain,
% 21.01/21.37 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 21.01/21.37 tff(13091,plain,
% 21.01/21.37 (~m_main_v_state2(s159, c_n2)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13090, 416, 12932, 13024])).
% 21.01/21.37 tff(13092,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13093,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13094,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 21.01/21.37 tff(13095,plain,
% 21.01/21.37 (~node9(s159)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13094, 311, 13091])).
% 21.01/21.37 tff(13096,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13097,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13098,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13097, 13096])).
% 21.01/21.37 tff(13099,plain,
% 21.01/21.37 (~node10(s159)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13098, 372, 13091])).
% 21.01/21.37 tff(13100,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13101,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13102,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 21.01/21.37 tff(13103,plain,
% 21.01/21.37 (~node8(s159)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13102, 383, 13091])).
% 21.01/21.37 tff(13104,plain,
% 21.01/21.37 (((~![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))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13105,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13106,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160)),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13105, 13104])).
% 21.01/21.37 tff(13107,plain,
% 21.01/21.37 (node14(s159, s160)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13106, 130, 13038])).
% 21.01/21.37 tff(13108,plain,
% 21.01/21.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13109,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13110,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13109, 13108])).
% 21.01/21.37 tff(13111,plain,
% 21.01/21.37 ((~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)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13110, 704, 13107])).
% 21.01/21.37 tff(13112,plain,
% 21.01/21.37 (m_main_v_state2(s160, c_c2)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13111, 13103, 12975, 13031, 13099, 13095])).
% 21.01/21.37 tff(13113,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13114,plain,
% 21.01/21.37 ((~![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)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13115,plain,
% 21.01/21.37 ((~![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))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13114, 13113])).
% 21.01/21.37 tff(13116,plain,
% 21.01/21.37 (~m_main_v_state2(s160, c_n2)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13115, 716, 13112])).
% 21.01/21.37 tff(13117,plain,
% 21.01/21.37 (((~![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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13118,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13119,plain,
% 21.01/21.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 21.01/21.37 tff(13120,plain,
% 21.01/21.37 (~node4(s160)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13119, 162, 13116])).
% 21.01/21.37 tff(13121,plain,
% 21.01/21.37 (succ(s160, s161) <=> succ(s160, s161)),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13122,axiom,(succ(s160, s161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound161')).
% 21.01/21.37 tff(13123,plain,
% 21.01/21.37 (succ(s160, s161)),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 21.01/21.37 tff(13124,plain,
% 21.01/21.37 (((~![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))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13125,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13126,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 21.01/21.37 tff(13127,plain,
% 21.01/21.37 (trans(s160, s161)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13126, 13123, 57])).
% 21.01/21.37 tff(13128,plain,
% 21.01/21.37 (((~![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))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13129,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13130,plain,
% 21.01/21.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161)),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13129, 13128])).
% 21.01/21.37 tff(13131,plain,
% 21.01/21.37 (node7(s160, s161)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13130, 217, 13127])).
% 21.01/21.37 tff(13132,plain,
% 21.01/21.37 (((~![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(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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13133,plain,
% 21.01/21.37 ((~![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(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 21.01/21.37 inference(quant_inst,[status(thm)],[])).
% 21.01/21.37 tff(13134,plain,
% 21.01/21.37 ((~![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(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161))),
% 21.01/21.37 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 21.01/21.37 tff(13135,plain,
% 21.01/21.37 (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13134, 745, 13131])).
% 21.01/21.37 tff(13136,plain,
% 21.01/21.37 (node6(s160, s161)),
% 21.01/21.37 inference(unit_resolution,[status(thm)],[13135, 13120, 13084, 13080, 13076, 13072, 13055])).
% 21.01/21.37 tff(13137,plain,
% 21.01/21.37 (((~![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(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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13138,plain,
% 21.01/21.37 (((~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)))),
% 21.01/21.37 inference(rewrite,[status(thm)],[])).
% 21.01/21.37 tff(13139,plain,
% 21.01/21.37 (((~![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))))),
% 21.01/21.38 inference(monotonicity,[status(thm)],[13138])).
% 21.01/21.38 tff(13140,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(transitivity,[status(thm)],[13139, 13137])).
% 21.01/21.38 tff(13141,plain,
% 21.01/21.38 ((~![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))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13142,plain,
% 21.01/21.38 ((~![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(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13141, 13140])).
% 21.01/21.38 tff(13143,plain,
% 21.01/21.38 (m_main_v_state1(s161, c_t1)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13142, 760, 13047, 13136])).
% 21.01/21.38 tff(13144,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13145,plain,
% 21.01/21.38 ((~![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)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13146,plain,
% 21.01/21.38 ((~![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))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 21.01/21.38 tff(13147,plain,
% 21.01/21.38 (~m_main_v_state2(s160, c_t2)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13146, 173, 13112])).
% 21.01/21.38 tff(13148,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13149,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13150,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 21.01/21.38 tff(13151,plain,
% 21.01/21.38 (~node12(s160)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13150, 778, 13147])).
% 21.01/21.38 tff(13152,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13153,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13154,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 21.01/21.38 tff(13155,plain,
% 21.01/21.38 (~node11(s160)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13154, 361, 13051])).
% 21.01/21.38 tff(13156,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13157,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13158,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 21.01/21.38 tff(13159,plain,
% 21.01/21.38 (~node10(s160)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13158, 793, 13084])).
% 21.01/21.38 tff(13160,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13161,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13162,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 21.01/21.38 tff(13163,plain,
% 21.01/21.38 (~node9(s160)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13162, 804, 13051])).
% 21.01/21.38 tff(13164,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13165,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13166,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13165, 13164])).
% 21.01/21.38 tff(13167,plain,
% 21.01/21.38 (~node8(s160)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13166, 383, 13116])).
% 21.01/21.38 tff(13168,plain,
% 21.01/21.38 (((~![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))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13169,plain,
% 21.01/21.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13170,plain,
% 21.01/21.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161)),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13169, 13168])).
% 21.01/21.38 tff(13171,plain,
% 21.01/21.38 (node14(s160, s161)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13170, 130, 13127])).
% 21.01/21.38 tff(13172,plain,
% 21.01/21.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13173,plain,
% 21.01/21.38 (((~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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13174,plain,
% 21.01/21.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 21.01/21.38 inference(monotonicity,[status(thm)],[13173])).
% 21.01/21.38 tff(13175,plain,
% 21.01/21.38 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 21.01/21.38 inference(transitivity,[status(thm)],[13174, 13172])).
% 21.01/21.38 tff(13176,plain,
% 21.01/21.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13177,plain,
% 21.01/21.38 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13176, 13175])).
% 21.01/21.38 tff(13178,plain,
% 21.01/21.38 (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~m_main_v_state2(s160, c_c2))),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13177, 826, 13171])).
% 21.01/21.38 tff(13179,plain,
% 21.01/21.38 (m_main_v_state2(s161, c_n2)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13178, 13167, 13112, 13163, 13159, 13155, 13151])).
% 21.01/21.38 tff(13180,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13181,plain,
% 21.01/21.38 ((~![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)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13182,plain,
% 21.01/21.38 ((~![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))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 21.01/21.38 tff(13183,plain,
% 21.01/21.38 (~m_main_v_state2(s161, c_t2)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13182, 10, 13179])).
% 21.01/21.38 tff(13184,plain,
% 21.01/21.38 (((~![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)))),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13185,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 21.01/21.38 inference(quant_inst,[status(thm)],[])).
% 21.01/21.38 tff(13186,plain,
% 21.01/21.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161))),
% 21.01/21.38 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 21.01/21.38 tff(13187,plain,
% 21.01/21.38 (~node15(s161)),
% 21.01/21.38 inference(unit_resolution,[status(thm)],[13186, 21, 13183])).
% 21.01/21.38 tff(13188,plain,
% 21.01/21.38 (succ(s161, s162) <=> succ(s161, s162)),
% 21.01/21.38 inference(rewrite,[status(thm)],[])).
% 21.01/21.38 tff(13189,axiom,(succ(s161, s162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound162')).
% 21.01/21.38 tff(13190,plain,
% 21.01/21.39 (succ(s161, s162)),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 21.01/21.39 tff(13191,plain,
% 21.01/21.39 (((~![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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13192,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13193,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13192, 13191])).
% 21.01/21.39 tff(13194,plain,
% 21.01/21.39 (trans(s161, s162)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13193, 13190, 57])).
% 21.01/21.39 tff(13195,plain,
% 21.01/21.39 (((~![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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13196,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13197,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162)),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13196, 13195])).
% 21.01/21.39 tff(13198,plain,
% 21.01/21.39 (node18(s161, s162)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13197, 71, 13194])).
% 21.01/21.39 tff(13199,plain,
% 21.01/21.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13200,plain,
% 21.01/21.39 (((~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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13201,plain,
% 21.01/21.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 21.01/21.39 inference(monotonicity,[status(thm)],[13200])).
% 21.01/21.39 tff(13202,plain,
% 21.01/21.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 21.01/21.39 inference(transitivity,[status(thm)],[13201, 13199])).
% 21.01/21.39 tff(13203,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13204,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 21.01/21.39 tff(13205,plain,
% 21.01/21.39 (node15(s161) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13204, 863, 13198])).
% 21.01/21.39 tff(13206,plain,
% 21.01/21.39 (m_main_v_turn(s162, c_1)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13205, 13187, 13179, 13143])).
% 21.01/21.39 tff(13207,plain,
% 21.01/21.39 (((~![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)))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13208,plain,
% 21.01/21.39 ((~![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)))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13209,plain,
% 21.01/21.39 ((~![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))),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13208, 13207])).
% 21.01/21.39 tff(13210,plain,
% 21.01/21.39 (~m_main_v_turn(s162, c_2)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13209, 322, 13206])).
% 21.01/21.39 tff(13211,plain,
% 21.01/21.39 (((~![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)))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13212,plain,
% 21.01/21.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13213,plain,
% 21.01/21.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162))),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13212, 13211])).
% 21.01/21.39 tff(13214,plain,
% 21.01/21.39 (~node12(s162)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13213, 350, 13210])).
% 21.01/21.39 tff(13215,plain,
% 21.01/21.39 (((~![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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13216,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13217,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162)),
% 21.01/21.39 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 21.01/21.39 tff(13218,plain,
% 21.01/21.39 (node14(s161, s162)),
% 21.01/21.39 inference(unit_resolution,[status(thm)],[13217, 130, 13194])).
% 21.01/21.39 tff(13219,plain,
% 21.01/21.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 21.01/21.39 inference(rewrite,[status(thm)],[])).
% 21.01/21.39 tff(13220,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 21.01/21.39 inference(quant_inst,[status(thm)],[])).
% 21.01/21.39 tff(13221,plain,
% 21.01/21.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2)),
% 21.10/21.39 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 21.10/21.39 tff(13222,plain,
% 21.10/21.39 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state2(s162, c_t2)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13221, 893, 13218])).
% 21.10/21.39 tff(13223,plain,
% 21.10/21.39 (m_main_v_state2(s162, c_t2)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13222, 13143, 13179])).
% 21.10/21.39 tff(13224,plain,
% 21.10/21.39 (((~![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)))),
% 21.10/21.39 inference(rewrite,[status(thm)],[])).
% 21.10/21.39 tff(13225,plain,
% 21.10/21.39 ((~![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)))),
% 21.10/21.39 inference(quant_inst,[status(thm)],[])).
% 21.10/21.39 tff(13226,plain,
% 21.10/21.39 ((~![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))),
% 21.10/21.39 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 21.10/21.39 tff(13227,plain,
% 21.10/21.39 (~m_main_v_state2(s162, c_n2)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13226, 10, 13223])).
% 21.10/21.39 tff(13228,plain,
% 21.10/21.39 (((~![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)))),
% 21.10/21.39 inference(rewrite,[status(thm)],[])).
% 21.10/21.39 tff(13229,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 21.10/21.39 inference(quant_inst,[status(thm)],[])).
% 21.10/21.39 tff(13230,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162))),
% 21.10/21.39 inference(modus_ponens,[status(thm)],[13229, 13228])).
% 21.10/21.39 tff(13231,plain,
% 21.10/21.39 (~node8(s162)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13230, 383, 13227])).
% 21.10/21.39 tff(13232,plain,
% 21.10/21.39 (((~![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)))),
% 21.10/21.39 inference(rewrite,[status(thm)],[])).
% 21.10/21.39 tff(13233,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 21.10/21.39 inference(quant_inst,[status(thm)],[])).
% 21.10/21.39 tff(13234,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162))),
% 21.10/21.39 inference(modus_ponens,[status(thm)],[13233, 13232])).
% 21.10/21.39 tff(13235,plain,
% 21.10/21.39 (~node9(s162)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13234, 311, 13227])).
% 21.10/21.39 tff(13236,plain,
% 21.10/21.39 (((~![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)))),
% 21.10/21.39 inference(rewrite,[status(thm)],[])).
% 21.10/21.39 tff(13237,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 21.10/21.39 inference(quant_inst,[status(thm)],[])).
% 21.10/21.39 tff(13238,plain,
% 21.10/21.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162))),
% 21.10/21.39 inference(modus_ponens,[status(thm)],[13237, 13236])).
% 21.10/21.39 tff(13239,plain,
% 21.10/21.39 (~node10(s162)),
% 21.10/21.39 inference(unit_resolution,[status(thm)],[13238, 372, 13227])).
% 21.10/21.39 tff(13240,plain,
% 21.10/21.39 (((~![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)))),
% 21.10/21.39 inference(rewrite,[status(thm)],[])).
% 21.10/21.39 tff(13241,plain,
% 21.10/21.39 ((~![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)))),
% 21.10/21.39 inference(quant_inst,[status(thm)],[])).
% 21.10/21.39 tff(13242,plain,
% 21.10/21.40 ((~![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))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13241, 13240])).
% 21.10/21.40 tff(13243,plain,
% 21.10/21.40 (~m_main_v_state2(s162, c_c2)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13242, 173, 13223])).
% 21.10/21.40 tff(13244,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13245,plain,
% 21.10/21.40 ((~![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)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13246,plain,
% 21.10/21.40 ((~![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))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 21.10/21.40 tff(13247,plain,
% 21.10/21.40 (~m_main_v_state2(s161, c_c2)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13246, 716, 13179])).
% 21.10/21.40 tff(13248,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13249,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13250,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13249, 13248])).
% 21.10/21.40 tff(13251,plain,
% 21.10/21.40 (~node3(s161)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13250, 184, 13247])).
% 21.10/21.40 tff(13252,plain,
% 21.10/21.40 (((~![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(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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13253,plain,
% 21.10/21.40 (((~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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13254,plain,
% 21.10/21.40 (((~![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))))),
% 21.10/21.40 inference(monotonicity,[status(thm)],[13253])).
% 21.10/21.40 tff(13255,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(transitivity,[status(thm)],[13254, 13252])).
% 21.10/21.40 tff(13256,plain,
% 21.10/21.40 ((~![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)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13257,plain,
% 21.10/21.40 ((~![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(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 21.10/21.40 tff(13258,plain,
% 21.10/21.40 (~m_main_v_state1(s161, c_n1)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13257, 936, 13051, 13136])).
% 21.10/21.40 tff(13259,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13260,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13261,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 21.10/21.40 tff(13262,plain,
% 21.10/21.40 (~node2(s161)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13261, 652, 13258])).
% 21.10/21.40 tff(13263,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13264,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13265,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 21.10/21.40 tff(13266,plain,
% 21.10/21.40 (~node1(s161)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13265, 206, 13183])).
% 21.10/21.40 tff(13267,plain,
% 21.10/21.40 (((~![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))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13268,plain,
% 21.10/21.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13269,plain,
% 21.10/21.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162)),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 21.10/21.40 tff(13270,plain,
% 21.10/21.40 (node7(s161, s162)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13269, 217, 13194])).
% 21.10/21.40 tff(13271,plain,
% 21.10/21.40 (((~![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(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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13272,plain,
% 21.10/21.40 (((~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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13273,plain,
% 21.10/21.40 (((~![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(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))))),
% 21.10/21.40 inference(monotonicity,[status(thm)],[13272])).
% 21.10/21.40 tff(13274,plain,
% 21.10/21.40 (((~![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(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)))),
% 21.10/21.40 inference(transitivity,[status(thm)],[13273, 13271])).
% 21.10/21.40 tff(13275,plain,
% 21.10/21.40 ((~![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(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))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13276,plain,
% 21.10/21.40 ((~![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(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))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13275, 13274])).
% 21.10/21.40 tff(13277,plain,
% 21.10/21.40 ((~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)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13276, 965, 13270])).
% 21.10/21.40 tff(13278,plain,
% 21.10/21.40 (m_main_v_state1(s162, c_c1)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13277, 13266, 13179, 13143, 13262, 13251])).
% 21.10/21.40 tff(13279,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13280,plain,
% 21.10/21.40 ((~![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)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13281,plain,
% 21.10/21.40 ((~![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))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 21.10/21.40 tff(13282,plain,
% 21.10/21.40 (~m_main_v_state1(s162, c_n1)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13281, 449, 13278])).
% 21.10/21.40 tff(13283,plain,
% 21.10/21.40 (((~![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)))),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13284,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 21.10/21.40 inference(quant_inst,[status(thm)],[])).
% 21.10/21.40 tff(13285,plain,
% 21.10/21.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162))),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 21.10/21.40 tff(13286,plain,
% 21.10/21.40 (~node11(s162)),
% 21.10/21.40 inference(unit_resolution,[status(thm)],[13285, 361, 13282])).
% 21.10/21.40 tff(13287,plain,
% 21.10/21.40 (succ(s162, s163) <=> succ(s162, s163)),
% 21.10/21.40 inference(rewrite,[status(thm)],[])).
% 21.10/21.40 tff(13288,axiom,(succ(s162, s163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound163')).
% 21.10/21.40 tff(13289,plain,
% 21.10/21.40 (succ(s162, s163)),
% 21.10/21.40 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 21.10/21.40 tff(13290,plain,
% 21.10/21.40 (((~![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))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13291,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13292,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 21.10/21.41 tff(13293,plain,
% 21.10/21.41 (trans(s162, s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13292, 13289, 57])).
% 21.10/21.41 tff(13294,plain,
% 21.10/21.41 (((~![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))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13295,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13296,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163)),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13295, 13294])).
% 21.10/21.41 tff(13297,plain,
% 21.10/21.41 (node14(s162, s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13296, 130, 13293])).
% 21.10/21.41 tff(13298,plain,
% 21.10/21.41 (((~![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(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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13299,plain,
% 21.10/21.41 ((~![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(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13300,plain,
% 21.10/21.41 ((~![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(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13299, 13298])).
% 21.10/21.41 tff(13301,plain,
% 21.10/21.41 (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13300, 401, 13297])).
% 21.10/21.41 tff(13302,plain,
% 21.10/21.41 (node13(s162, s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13301, 13286, 13243, 13239, 13235, 13231, 13214])).
% 21.10/21.41 tff(13303,plain,
% 21.10/21.41 (((~![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(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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13304,plain,
% 21.10/21.41 (((~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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13305,plain,
% 21.10/21.41 (((~![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))))),
% 21.10/21.41 inference(monotonicity,[status(thm)],[13304])).
% 21.10/21.41 tff(13306,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(transitivity,[status(thm)],[13305, 13303])).
% 21.10/21.41 tff(13307,plain,
% 21.10/21.41 ((~![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)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13308,plain,
% 21.10/21.41 ((~![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(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 21.10/21.41 tff(13309,plain,
% 21.10/21.41 (~m_main_v_state2(s163, c_n2)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13308, 416, 13227, 13302])).
% 21.10/21.41 tff(13310,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13311,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13312,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13311, 13310])).
% 21.10/21.41 tff(13313,plain,
% 21.10/21.41 (~node9(s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13312, 311, 13309])).
% 21.10/21.41 tff(13314,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13315,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13316,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 21.10/21.41 tff(13317,plain,
% 21.10/21.41 (~node10(s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13316, 372, 13309])).
% 21.10/21.41 tff(13318,plain,
% 21.10/21.41 (((~![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(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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13319,plain,
% 21.10/21.41 (((~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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13320,plain,
% 21.10/21.41 (((~![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))))),
% 21.10/21.41 inference(monotonicity,[status(thm)],[13319])).
% 21.10/21.41 tff(13321,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(transitivity,[status(thm)],[13320, 13318])).
% 21.10/21.41 tff(13322,plain,
% 21.10/21.41 ((~![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))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13323,plain,
% 21.10/21.41 ((~![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(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13322, 13321])).
% 21.10/21.41 tff(13324,plain,
% 21.10/21.41 (m_main_v_state2(s163, c_t2)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13323, 563, 13223, 13302])).
% 21.10/21.41 tff(13325,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13326,plain,
% 21.10/21.41 ((~![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)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13327,plain,
% 21.10/21.41 ((~![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))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13326, 13325])).
% 21.10/21.41 tff(13328,plain,
% 21.10/21.41 (~m_main_v_state1(s162, c_t1)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13327, 289, 13278])).
% 21.10/21.41 tff(13329,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13330,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13331,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 21.10/21.41 tff(13332,plain,
% 21.10/21.41 (~node5(s162)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13331, 300, 13328])).
% 21.10/21.41 tff(13333,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13334,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13335,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13334, 13333])).
% 21.10/21.41 tff(13336,plain,
% 21.10/21.41 (~node4(s162)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13335, 162, 13227])).
% 21.10/21.41 tff(13337,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13338,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13339,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 21.10/21.41 tff(13340,plain,
% 21.10/21.41 (~node3(s162)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13339, 184, 13243])).
% 21.10/21.41 tff(13341,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13342,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13343,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 21.10/21.41 tff(13344,plain,
% 21.10/21.41 (~node2(s162)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13343, 195, 13227])).
% 21.10/21.41 tff(13345,plain,
% 21.10/21.41 (((~![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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13346,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13347,plain,
% 21.10/21.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162))),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 21.10/21.41 tff(13348,plain,
% 21.10/21.41 (~node1(s162)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13347, 249, 13282])).
% 21.10/21.41 tff(13349,plain,
% 21.10/21.41 (((~![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))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13350,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))),
% 21.10/21.41 inference(quant_inst,[status(thm)],[])).
% 21.10/21.41 tff(13351,plain,
% 21.10/21.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163)),
% 21.10/21.41 inference(modus_ponens,[status(thm)],[13350, 13349])).
% 21.10/21.41 tff(13352,plain,
% 21.10/21.41 (node7(s162, s163)),
% 21.10/21.41 inference(unit_resolution,[status(thm)],[13351, 217, 13293])).
% 21.10/21.41 tff(13353,plain,
% 21.10/21.41 (((~![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(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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13354,plain,
% 21.10/21.41 (((~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)))),
% 21.10/21.41 inference(rewrite,[status(thm)],[])).
% 21.10/21.41 tff(13355,plain,
% 21.10/21.41 (((~![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(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))))),
% 21.10/21.41 inference(monotonicity,[status(thm)],[13354])).
% 21.10/21.41 tff(13356,plain,
% 21.10/21.41 (((~![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(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)))),
% 21.10/21.42 inference(transitivity,[status(thm)],[13355, 13353])).
% 21.10/21.42 tff(13357,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13358,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13357, 13356])).
% 21.10/21.42 tff(13359,plain,
% 21.10/21.42 (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13358, 478, 13352])).
% 21.10/21.42 tff(13360,plain,
% 21.10/21.42 (m_main_v_state1(s163, c_n1)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13359, 13348, 13278, 13344, 13340, 13336, 13332])).
% 21.10/21.42 tff(13361,plain,
% 21.10/21.42 (((~![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)))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13362,plain,
% 21.10/21.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13363,plain,
% 21.10/21.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163))),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 21.10/21.42 tff(13364,plain,
% 21.10/21.42 (~node8(s163)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13363, 383, 13309])).
% 21.10/21.42 tff(13365,plain,
% 21.10/21.42 (succ(s163, s164) <=> succ(s163, s164)),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13366,axiom,(succ(s163, s164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound164')).
% 21.10/21.42 tff(13367,plain,
% 21.10/21.42 (succ(s163, s164)),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13366, 13365])).
% 21.10/21.42 tff(13368,plain,
% 21.10/21.42 (((~![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))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13369,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13370,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 21.10/21.42 tff(13371,plain,
% 21.10/21.42 (trans(s163, s164)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13370, 13367, 57])).
% 21.10/21.42 tff(13372,plain,
% 21.10/21.42 (((~![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))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13373,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13374,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164)),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13373, 13372])).
% 21.10/21.42 tff(13375,plain,
% 21.10/21.42 (node14(s163, s164)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13374, 130, 13371])).
% 21.10/21.42 tff(13376,plain,
% 21.10/21.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13377,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13378,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 21.10/21.42 tff(13379,plain,
% 21.10/21.42 ((~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)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13378, 704, 13375])).
% 21.10/21.42 tff(13380,plain,
% 21.10/21.42 (m_main_v_state2(s164, c_c2)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13379, 13364, 13360, 13324, 13317, 13313])).
% 21.10/21.42 tff(13381,plain,
% 21.10/21.42 (((~![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)))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13382,plain,
% 21.10/21.42 ((~![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)))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13383,plain,
% 21.10/21.42 ((~![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))),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 21.10/21.42 tff(13384,plain,
% 21.10/21.42 (~m_main_v_state2(s164, c_t2)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13383, 173, 13380])).
% 21.10/21.42 tff(13385,plain,
% 21.10/21.42 (((~![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)))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13386,plain,
% 21.10/21.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13387,plain,
% 21.10/21.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164))),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13386, 13385])).
% 21.10/21.42 tff(13388,plain,
% 21.10/21.42 (~node12(s164)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13387, 778, 13384])).
% 21.10/21.42 tff(13389,plain,
% 21.10/21.42 (((~![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))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13390,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13391,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164)),
% 21.10/21.42 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 21.10/21.42 tff(13392,plain,
% 21.10/21.42 (node7(s163, s164)),
% 21.10/21.42 inference(unit_resolution,[status(thm)],[13391, 217, 13371])).
% 21.10/21.42 tff(13393,plain,
% 21.10/21.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 21.10/21.42 inference(rewrite,[status(thm)],[])).
% 21.10/21.42 tff(13394,plain,
% 21.10/21.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 21.10/21.42 inference(quant_inst,[status(thm)],[])).
% 21.10/21.42 tff(13395,plain,
% 21.10/21.43 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1)),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13394, 13393])).
% 21.10/21.43 tff(13396,plain,
% 21.10/21.43 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_state1(s164, c_t1)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13395, 598, 13392])).
% 21.10/21.43 tff(13397,plain,
% 21.10/21.43 (m_main_v_state1(s164, c_t1)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13396, 13324, 13360])).
% 21.10/21.43 tff(13398,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13399,plain,
% 21.10/21.43 ((~![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)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13400,plain,
% 21.10/21.43 ((~![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))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 21.10/21.43 tff(13401,plain,
% 21.10/21.43 (~m_main_v_state1(s164, c_n1)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13400, 35, 13397])).
% 21.10/21.43 tff(13402,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13403,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13404,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 21.10/21.43 tff(13405,plain,
% 21.10/21.43 (~node11(s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13404, 361, 13401])).
% 21.10/21.43 tff(13406,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13407,plain,
% 21.10/21.43 ((~![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)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13408,plain,
% 21.10/21.43 ((~![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))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13407, 13406])).
% 21.10/21.43 tff(13409,plain,
% 21.10/21.43 (~m_main_v_state1(s164, c_c1)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13408, 289, 13397])).
% 21.10/21.43 tff(13410,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13411,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13412,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13411, 13410])).
% 21.10/21.43 tff(13413,plain,
% 21.10/21.43 (~node10(s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13412, 793, 13409])).
% 21.10/21.43 tff(13414,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13415,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13416,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13415, 13414])).
% 21.10/21.43 tff(13417,plain,
% 21.10/21.43 (~node9(s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13416, 804, 13401])).
% 21.10/21.43 tff(13418,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13419,plain,
% 21.10/21.43 ((~![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)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13420,plain,
% 21.10/21.43 ((~![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))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13419, 13418])).
% 21.10/21.43 tff(13421,plain,
% 21.10/21.43 (~m_main_v_state2(s164, c_n2)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13420, 716, 13380])).
% 21.10/21.43 tff(13422,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13423,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13424,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13423, 13422])).
% 21.10/21.43 tff(13425,plain,
% 21.10/21.43 (~node8(s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13424, 383, 13421])).
% 21.10/21.43 tff(13426,plain,
% 21.10/21.43 (succ(s164, s165) <=> succ(s164, s165)),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13427,axiom,(succ(s164, s165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound165')).
% 21.10/21.43 tff(13428,plain,
% 21.10/21.43 (succ(s164, s165)),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13427, 13426])).
% 21.10/21.43 tff(13429,plain,
% 21.10/21.43 (((~![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))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13430,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13431,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 21.10/21.43 tff(13432,plain,
% 21.10/21.43 (trans(s164, s165)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13431, 13428, 57])).
% 21.10/21.43 tff(13433,plain,
% 21.10/21.43 (((~![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))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13434,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13435,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165)),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13434, 13433])).
% 21.10/21.43 tff(13436,plain,
% 21.10/21.43 (node14(s164, s165)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13435, 130, 13432])).
% 21.10/21.43 tff(13437,plain,
% 21.10/21.43 (((~![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(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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13438,plain,
% 21.10/21.43 (((~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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13439,plain,
% 21.10/21.43 (((~![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(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))))),
% 21.10/21.43 inference(monotonicity,[status(thm)],[13438])).
% 21.10/21.43 tff(13440,plain,
% 21.10/21.43 (((~![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(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)))),
% 21.10/21.43 inference(transitivity,[status(thm)],[13439, 13437])).
% 21.10/21.43 tff(13441,plain,
% 21.10/21.43 ((~![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(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13442,plain,
% 21.10/21.43 ((~![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(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 21.10/21.43 tff(13443,plain,
% 21.10/21.43 (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~m_main_v_state2(s164, c_c2))),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13442, 826, 13436])).
% 21.10/21.43 tff(13444,plain,
% 21.10/21.43 (m_main_v_state2(s165, c_n2)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13443, 13425, 13380, 13417, 13413, 13405, 13388])).
% 21.10/21.43 tff(13445,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13446,plain,
% 21.10/21.43 ((~![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)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13447,plain,
% 21.10/21.43 ((~![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))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13446, 13445])).
% 21.10/21.43 tff(13448,plain,
% 21.10/21.43 (~m_main_v_state2(s165, c_c2)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13447, 716, 13444])).
% 21.10/21.43 tff(13449,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13450,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13451,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 21.10/21.43 tff(13452,plain,
% 21.10/21.43 (~node3(s165)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13451, 184, 13448])).
% 21.10/21.43 tff(13453,plain,
% 21.10/21.43 (((~![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)))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13454,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13455,plain,
% 21.10/21.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164))),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13454, 13453])).
% 21.10/21.43 tff(13456,plain,
% 21.10/21.43 (~node1(s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13455, 249, 13401])).
% 21.10/21.43 tff(13457,plain,
% 21.10/21.43 (((~![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))),
% 21.10/21.43 inference(rewrite,[status(thm)],[])).
% 21.10/21.43 tff(13458,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))),
% 21.10/21.43 inference(quant_inst,[status(thm)],[])).
% 21.10/21.43 tff(13459,plain,
% 21.10/21.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164)),
% 21.10/21.43 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 21.10/21.43 tff(13460,plain,
% 21.10/21.43 (node18(s163, s164)),
% 21.10/21.43 inference(unit_resolution,[status(thm)],[13459, 71, 13371])).
% 21.10/21.43 tff(13461,plain,
% 21.10/21.43 (((~![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(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))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13462,plain,
% 21.10/21.44 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13463,plain,
% 21.10/21.44 ((~![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(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2)),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13462, 13461])).
% 21.10/21.44 tff(13464,plain,
% 21.10/21.44 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_turn(s164, c_2)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13463, 625, 13460])).
% 21.10/21.44 tff(13465,plain,
% 21.10/21.44 (m_main_v_turn(s164, c_2)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13464, 13324, 13360])).
% 21.10/21.44 tff(13466,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13467,plain,
% 21.10/21.44 ((~![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)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13468,plain,
% 21.10/21.44 ((~![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))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 21.10/21.44 tff(13469,plain,
% 21.10/21.44 (~m_main_v_turn(s164, c_1)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13468, 322, 13465])).
% 21.10/21.44 tff(13470,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13471,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13472,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13471, 13470])).
% 21.10/21.44 tff(13473,plain,
% 21.10/21.44 (~node5(s164)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13472, 641, 13469])).
% 21.10/21.44 tff(13474,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13475,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13476,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 21.10/21.44 tff(13477,plain,
% 21.10/21.44 (~node2(s164)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13476, 652, 13401])).
% 21.10/21.44 tff(13478,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13479,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13480,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13479, 13478])).
% 21.10/21.44 tff(13481,plain,
% 21.10/21.44 (~node3(s164)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13480, 663, 13401])).
% 21.10/21.44 tff(13482,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13483,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13484,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 21.10/21.44 tff(13485,plain,
% 21.10/21.44 (~node4(s164)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13484, 162, 13421])).
% 21.10/21.44 tff(13486,plain,
% 21.10/21.44 (((~![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))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13487,plain,
% 21.10/21.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13488,plain,
% 21.10/21.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165)),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13487, 13486])).
% 21.10/21.44 tff(13489,plain,
% 21.10/21.44 (node7(s164, s165)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13488, 217, 13432])).
% 21.10/21.44 tff(13490,plain,
% 21.10/21.44 (((~![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(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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13491,plain,
% 21.10/21.44 ((~![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(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13492,plain,
% 21.10/21.44 ((~![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(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 21.10/21.44 tff(13493,plain,
% 21.10/21.44 (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13492, 745, 13489])).
% 21.10/21.44 tff(13494,plain,
% 21.10/21.44 (node6(s164, s165)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13493, 13485, 13409, 13481, 13477, 13473, 13456])).
% 21.10/21.44 tff(13495,plain,
% 21.10/21.44 (((~![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(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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13496,plain,
% 21.10/21.44 (((~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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13497,plain,
% 21.10/21.44 (((~![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))))),
% 21.10/21.44 inference(monotonicity,[status(thm)],[13496])).
% 21.10/21.44 tff(13498,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(transitivity,[status(thm)],[13497, 13495])).
% 21.10/21.44 tff(13499,plain,
% 21.10/21.44 ((~![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)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13500,plain,
% 21.10/21.44 ((~![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(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 21.10/21.44 tff(13501,plain,
% 21.10/21.44 (~m_main_v_state1(s165, c_n1)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13500, 936, 13401, 13494])).
% 21.10/21.44 tff(13502,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13503,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13504,plain,
% 21.10/21.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 21.10/21.44 tff(13505,plain,
% 21.10/21.44 (~node2(s165)),
% 21.10/21.44 inference(unit_resolution,[status(thm)],[13504, 652, 13501])).
% 21.10/21.44 tff(13506,plain,
% 21.10/21.44 (((~![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(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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13507,plain,
% 21.10/21.44 (((~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)))),
% 21.10/21.44 inference(rewrite,[status(thm)],[])).
% 21.10/21.44 tff(13508,plain,
% 21.10/21.44 (((~![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))))),
% 21.10/21.44 inference(monotonicity,[status(thm)],[13507])).
% 21.10/21.44 tff(13509,plain,
% 21.10/21.44 (((~![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)))),
% 21.10/21.44 inference(transitivity,[status(thm)],[13508, 13506])).
% 21.10/21.44 tff(13510,plain,
% 21.10/21.44 ((~![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))),
% 21.10/21.44 inference(quant_inst,[status(thm)],[])).
% 21.10/21.44 tff(13511,plain,
% 21.10/21.44 ((~![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(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))),
% 21.10/21.44 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 21.10/21.45 tff(13512,plain,
% 21.10/21.45 (m_main_v_state1(s165, c_t1)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13511, 760, 13397, 13494])).
% 21.10/21.45 tff(13513,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13514,plain,
% 21.10/21.45 ((~![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)))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13515,plain,
% 21.10/21.45 ((~![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))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13514, 13513])).
% 21.10/21.45 tff(13516,plain,
% 21.10/21.45 (~m_main_v_state2(s165, c_t2)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13515, 10, 13444])).
% 21.10/21.45 tff(13517,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13518,plain,
% 21.10/21.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13519,plain,
% 21.10/21.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 21.10/21.45 tff(13520,plain,
% 21.10/21.45 (~node1(s165)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13519, 206, 13516])).
% 21.10/21.45 tff(13521,plain,
% 21.10/21.45 (succ(s165, s166) <=> succ(s165, s166)),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13522,axiom,(succ(s165, s166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound166')).
% 21.10/21.45 tff(13523,plain,
% 21.10/21.45 (succ(s165, s166)),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13522, 13521])).
% 21.10/21.45 tff(13524,plain,
% 21.10/21.45 (((~![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))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13525,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13526,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 21.10/21.45 tff(13527,plain,
% 21.10/21.45 (trans(s165, s166)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13526, 13523, 57])).
% 21.10/21.45 tff(13528,plain,
% 21.10/21.45 (((~![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))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13529,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13530,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166)),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 21.10/21.45 tff(13531,plain,
% 21.10/21.45 (node7(s165, s166)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13530, 217, 13527])).
% 21.10/21.45 tff(13532,plain,
% 21.10/21.45 (((~![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(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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13533,plain,
% 21.10/21.45 (((~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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13534,plain,
% 21.10/21.45 (((~![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(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))))),
% 21.10/21.45 inference(monotonicity,[status(thm)],[13533])).
% 21.10/21.45 tff(13535,plain,
% 21.10/21.45 (((~![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(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)))),
% 21.10/21.45 inference(transitivity,[status(thm)],[13534, 13532])).
% 21.10/21.45 tff(13536,plain,
% 21.10/21.45 ((~![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(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))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13537,plain,
% 21.10/21.45 ((~![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(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))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13536, 13535])).
% 21.10/21.45 tff(13538,plain,
% 21.10/21.45 ((~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)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13537, 965, 13531])).
% 21.10/21.45 tff(13539,plain,
% 21.10/21.45 (m_main_v_state1(s166, c_c1)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13538, 13520, 13444, 13512, 13505, 13452])).
% 21.10/21.45 tff(13540,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13541,plain,
% 21.10/21.45 ((~![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)))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13542,plain,
% 21.10/21.45 ((~![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))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 21.10/21.45 tff(13543,plain,
% 21.10/21.45 (~m_main_v_state1(s166, c_t1)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13542, 289, 13539])).
% 21.10/21.45 tff(13544,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13545,plain,
% 21.10/21.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13546,plain,
% 21.10/21.45 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13545, 13544])).
% 21.10/21.45 tff(13547,plain,
% 21.10/21.45 (~node5(s166)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13546, 300, 13543])).
% 21.10/21.45 tff(13548,plain,
% 21.10/21.45 (((~![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))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13549,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13550,plain,
% 21.10/21.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166)),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 21.10/21.45 tff(13551,plain,
% 21.10/21.45 (node14(s165, s166)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13550, 130, 13527])).
% 21.10/21.45 tff(13552,plain,
% 21.10/21.45 (((~![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(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))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13553,plain,
% 21.10/21.45 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13554,plain,
% 21.10/21.45 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2)),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13553, 13552])).
% 21.10/21.45 tff(13555,plain,
% 21.10/21.45 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state2(s166, c_t2)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13554, 893, 13551])).
% 21.10/21.45 tff(13556,plain,
% 21.10/21.45 (m_main_v_state2(s166, c_t2)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13555, 13512, 13444])).
% 21.10/21.45 tff(13557,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.45 inference(rewrite,[status(thm)],[])).
% 21.10/21.45 tff(13558,plain,
% 21.10/21.45 ((~![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)))),
% 21.10/21.45 inference(quant_inst,[status(thm)],[])).
% 21.10/21.45 tff(13559,plain,
% 21.10/21.45 ((~![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))),
% 21.10/21.45 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 21.10/21.45 tff(13560,plain,
% 21.10/21.45 (~m_main_v_state2(s166, c_n2)),
% 21.10/21.45 inference(unit_resolution,[status(thm)],[13559, 10, 13556])).
% 21.10/21.45 tff(13561,plain,
% 21.10/21.45 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13562,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13563,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 21.10/21.46 tff(13564,plain,
% 21.10/21.46 (~node4(s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13563, 162, 13560])).
% 21.10/21.46 tff(13565,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13566,plain,
% 21.10/21.46 ((~![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)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13567,plain,
% 21.10/21.46 ((~![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))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 21.10/21.46 tff(13568,plain,
% 21.10/21.46 (~m_main_v_state2(s166, c_c2)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13567, 173, 13556])).
% 21.10/21.46 tff(13569,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13570,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13571,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 21.10/21.46 tff(13572,plain,
% 21.10/21.46 (~node3(s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13571, 184, 13568])).
% 21.10/21.46 tff(13573,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13574,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13575,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 21.10/21.46 tff(13576,plain,
% 21.10/21.46 (~node2(s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13575, 195, 13560])).
% 21.10/21.46 tff(13577,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13578,plain,
% 21.10/21.46 ((~![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)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13579,plain,
% 21.10/21.46 ((~![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))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 21.10/21.46 tff(13580,plain,
% 21.10/21.46 (~m_main_v_state1(s166, c_n1)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13579, 449, 13539])).
% 21.10/21.46 tff(13581,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13582,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13583,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 21.10/21.46 tff(13584,plain,
% 21.10/21.46 (~node1(s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13583, 249, 13580])).
% 21.10/21.46 tff(13585,plain,
% 21.10/21.46 (succ(s166, s167) <=> succ(s166, s167)),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13586,axiom,(succ(s166, s167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound167')).
% 21.10/21.46 tff(13587,plain,
% 21.10/21.46 (succ(s166, s167)),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 21.10/21.46 tff(13588,plain,
% 21.10/21.46 (((~![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))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13589,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13590,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13589, 13588])).
% 21.10/21.46 tff(13591,plain,
% 21.10/21.46 (trans(s166, s167)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13590, 13587, 57])).
% 21.10/21.46 tff(13592,plain,
% 21.10/21.46 (((~![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))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13593,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13594,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167)),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13593, 13592])).
% 21.10/21.46 tff(13595,plain,
% 21.10/21.46 (node7(s166, s167)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13594, 217, 13591])).
% 21.10/21.46 tff(13596,plain,
% 21.10/21.46 (((~![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(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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13597,plain,
% 21.10/21.46 (((~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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13598,plain,
% 21.10/21.46 (((~![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(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))))),
% 21.10/21.46 inference(monotonicity,[status(thm)],[13597])).
% 21.10/21.46 tff(13599,plain,
% 21.10/21.46 (((~![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(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)))),
% 21.10/21.46 inference(transitivity,[status(thm)],[13598, 13596])).
% 21.10/21.46 tff(13600,plain,
% 21.10/21.46 ((~![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(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13601,plain,
% 21.10/21.46 ((~![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(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13600, 13599])).
% 21.10/21.46 tff(13602,plain,
% 21.10/21.46 (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13601, 478, 13595])).
% 21.10/21.46 tff(13603,plain,
% 21.10/21.46 (m_main_v_state1(s167, c_n1)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13602, 13584, 13539, 13576, 13572, 13564, 13547])).
% 21.10/21.46 tff(13604,plain,
% 21.10/21.46 (((~![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)))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13605,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13606,plain,
% 21.10/21.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165))),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 21.10/21.46 tff(13607,plain,
% 21.10/21.46 (~node15(s165)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13606, 21, 13516])).
% 21.10/21.46 tff(13608,plain,
% 21.10/21.46 (((~![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))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13609,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))),
% 21.10/21.46 inference(quant_inst,[status(thm)],[])).
% 21.10/21.46 tff(13610,plain,
% 21.10/21.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166)),
% 21.10/21.46 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 21.10/21.46 tff(13611,plain,
% 21.10/21.46 (node18(s165, s166)),
% 21.10/21.46 inference(unit_resolution,[status(thm)],[13610, 71, 13527])).
% 21.10/21.46 tff(13612,plain,
% 21.10/21.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 21.10/21.46 inference(rewrite,[status(thm)],[])).
% 21.10/21.46 tff(13613,plain,
% 21.10/21.46 (((~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))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13614,plain,
% 21.10/21.47 (((~![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(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)))),
% 21.10/21.47 inference(monotonicity,[status(thm)],[13613])).
% 21.10/21.47 tff(13615,plain,
% 21.10/21.47 (((~![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(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))),
% 21.10/21.47 inference(transitivity,[status(thm)],[13614, 13612])).
% 21.10/21.47 tff(13616,plain,
% 21.10/21.47 ((~![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(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13617,plain,
% 21.10/21.47 ((~![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(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)),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13616, 13615])).
% 21.10/21.47 tff(13618,plain,
% 21.10/21.47 (node15(s165) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13617, 863, 13611])).
% 21.10/21.47 tff(13619,plain,
% 21.10/21.47 (m_main_v_turn(s166, c_1)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13618, 13607, 13444, 13512])).
% 21.10/21.47 tff(13620,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13621,plain,
% 21.10/21.47 ((~![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)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13622,plain,
% 21.10/21.47 ((~![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))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13621, 13620])).
% 21.10/21.47 tff(13623,plain,
% 21.10/21.47 (~m_main_v_turn(s166, c_2)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13622, 322, 13619])).
% 21.10/21.47 tff(13624,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13625,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13626,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 21.10/21.47 tff(13627,plain,
% 21.10/21.47 (~node12(s166)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13626, 350, 13623])).
% 21.10/21.47 tff(13628,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13629,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13630,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 21.10/21.47 tff(13631,plain,
% 21.10/21.47 (~node8(s166)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13630, 383, 13560])).
% 21.10/21.47 tff(13632,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13633,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13634,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 21.10/21.47 tff(13635,plain,
% 21.10/21.47 (~node9(s166)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13634, 311, 13560])).
% 21.10/21.47 tff(13636,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13637,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13638,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 21.10/21.47 tff(13639,plain,
% 21.10/21.47 (~node10(s166)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13638, 372, 13560])).
% 21.10/21.47 tff(13640,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13641,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13642,plain,
% 21.10/21.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13641, 13640])).
% 21.10/21.47 tff(13643,plain,
% 21.10/21.47 (~node11(s166)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13642, 361, 13580])).
% 21.10/21.47 tff(13644,plain,
% 21.10/21.47 (((~![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))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13645,plain,
% 21.10/21.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13646,plain,
% 21.10/21.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167)),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 21.10/21.47 tff(13647,plain,
% 21.10/21.47 (node14(s166, s167)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13646, 130, 13591])).
% 21.10/21.47 tff(13648,plain,
% 21.10/21.47 (((~![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(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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13649,plain,
% 21.10/21.47 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13650,plain,
% 21.10/21.47 ((~![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(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13649, 13648])).
% 21.10/21.47 tff(13651,plain,
% 21.10/21.47 (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13650, 401, 13647])).
% 21.10/21.47 tff(13652,plain,
% 21.10/21.47 (node13(s166, s167)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13651, 13643, 13568, 13639, 13635, 13631, 13627])).
% 21.10/21.47 tff(13653,plain,
% 21.10/21.47 (((~![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(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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13654,plain,
% 21.10/21.47 (((~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)))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13655,plain,
% 21.10/21.47 (((~![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))))),
% 21.10/21.47 inference(monotonicity,[status(thm)],[13654])).
% 21.10/21.47 tff(13656,plain,
% 21.10/21.47 (((~![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)))),
% 21.10/21.47 inference(transitivity,[status(thm)],[13655, 13653])).
% 21.10/21.47 tff(13657,plain,
% 21.10/21.47 ((~![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))),
% 21.10/21.47 inference(quant_inst,[status(thm)],[])).
% 21.10/21.47 tff(13658,plain,
% 21.10/21.47 ((~![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(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 21.10/21.47 tff(13659,plain,
% 21.10/21.47 (m_main_v_state2(s167, c_t2)),
% 21.10/21.47 inference(unit_resolution,[status(thm)],[13658, 563, 13556, 13652])).
% 21.10/21.47 tff(13660,plain,
% 21.10/21.47 (succ(s167, s168) <=> succ(s167, s168)),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13661,axiom,(succ(s167, s168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound168')).
% 21.10/21.47 tff(13662,plain,
% 21.10/21.47 (succ(s167, s168)),
% 21.10/21.47 inference(modus_ponens,[status(thm)],[13661, 13660])).
% 21.10/21.47 tff(13663,plain,
% 21.10/21.47 (((~![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))),
% 21.10/21.47 inference(rewrite,[status(thm)],[])).
% 21.10/21.47 tff(13664,plain,
% 21.10/21.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13665,plain,
% 21.10/21.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13664, 13663])).
% 21.10/21.48 tff(13666,plain,
% 21.10/21.48 (trans(s167, s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13665, 13662, 57])).
% 21.10/21.48 tff(13667,plain,
% 21.10/21.48 (((~![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))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13668,plain,
% 21.10/21.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13669,plain,
% 21.10/21.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168)),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13668, 13667])).
% 21.10/21.48 tff(13670,plain,
% 21.10/21.48 (node7(s167, s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13669, 217, 13666])).
% 21.10/21.48 tff(13671,plain,
% 21.10/21.48 (((~![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(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))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13672,plain,
% 21.10/21.48 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13673,plain,
% 21.10/21.48 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1)),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13672, 13671])).
% 21.10/21.48 tff(13674,plain,
% 21.10/21.48 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_state1(s168, c_t1)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13673, 598, 13670])).
% 21.10/21.48 tff(13675,plain,
% 21.10/21.48 (m_main_v_state1(s168, c_t1)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13674, 13659, 13603])).
% 21.10/21.48 tff(13676,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13677,plain,
% 21.10/21.48 ((~![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)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13678,plain,
% 21.10/21.48 ((~![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))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13677, 13676])).
% 21.10/21.48 tff(13679,plain,
% 21.10/21.48 (~m_main_v_state1(s168, c_n1)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13678, 35, 13675])).
% 21.10/21.48 tff(13680,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13681,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13682,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 21.10/21.48 tff(13683,plain,
% 21.10/21.48 (~node1(s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13682, 249, 13679])).
% 21.10/21.48 tff(13684,plain,
% 21.10/21.48 (((~![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))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13685,plain,
% 21.10/21.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13686,plain,
% 21.10/21.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168)),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 21.10/21.48 tff(13687,plain,
% 21.10/21.48 (node18(s167, s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13686, 71, 13666])).
% 21.10/21.48 tff(13688,plain,
% 21.10/21.48 (((~![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(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))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13689,plain,
% 21.10/21.48 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13690,plain,
% 21.10/21.48 ((~![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(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2)),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 21.10/21.48 tff(13691,plain,
% 21.10/21.48 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_turn(s168, c_2)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13690, 625, 13687])).
% 21.10/21.48 tff(13692,plain,
% 21.10/21.48 (m_main_v_turn(s168, c_2)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13691, 13659, 13603])).
% 21.10/21.48 tff(13693,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13694,plain,
% 21.10/21.48 ((~![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)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13695,plain,
% 21.10/21.48 ((~![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))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 21.10/21.48 tff(13696,plain,
% 21.10/21.48 (~m_main_v_turn(s168, c_1)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13695, 322, 13692])).
% 21.10/21.48 tff(13697,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13698,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13699,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 21.10/21.48 tff(13700,plain,
% 21.10/21.48 (~node5(s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13699, 641, 13696])).
% 21.10/21.48 tff(13701,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13702,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13703,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 21.10/21.48 tff(13704,plain,
% 21.10/21.48 (~node2(s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13703, 652, 13679])).
% 21.10/21.48 tff(13705,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13706,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13707,plain,
% 21.10/21.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 21.10/21.48 tff(13708,plain,
% 21.10/21.48 (~node3(s168)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13707, 663, 13679])).
% 21.10/21.48 tff(13709,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13710,plain,
% 21.10/21.48 ((~![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)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13711,plain,
% 21.10/21.48 ((~![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))),
% 21.10/21.48 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 21.10/21.48 tff(13712,plain,
% 21.10/21.48 (~m_main_v_state1(s168, c_c1)),
% 21.10/21.48 inference(unit_resolution,[status(thm)],[13711, 289, 13675])).
% 21.10/21.48 tff(13713,plain,
% 21.10/21.48 (((~![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(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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13714,plain,
% 21.10/21.48 (((~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)))),
% 21.10/21.48 inference(rewrite,[status(thm)],[])).
% 21.10/21.48 tff(13715,plain,
% 21.10/21.48 (((~![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))))),
% 21.10/21.48 inference(monotonicity,[status(thm)],[13714])).
% 21.10/21.48 tff(13716,plain,
% 21.10/21.48 (((~![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)))),
% 21.10/21.48 inference(transitivity,[status(thm)],[13715, 13713])).
% 21.10/21.48 tff(13717,plain,
% 21.10/21.48 ((~![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)))),
% 21.10/21.48 inference(quant_inst,[status(thm)],[])).
% 21.10/21.48 tff(13718,plain,
% 21.10/21.49 ((~![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(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))),
% 21.10/21.49 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 21.10/21.49 tff(13719,plain,
% 21.10/21.49 (~m_main_v_state2(s167, c_n2)),
% 21.10/21.49 inference(unit_resolution,[status(thm)],[13718, 416, 13560, 13652])).
% 21.10/21.49 tff(13720,plain,
% 21.10/21.49 (((~![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)))),
% 21.10/21.49 inference(rewrite,[status(thm)],[])).
% 21.10/21.49 tff(13721,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 21.10/21.49 inference(quant_inst,[status(thm)],[])).
% 21.10/21.49 tff(13722,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167))),
% 21.10/21.49 inference(modus_ponens,[status(thm)],[13721, 13720])).
% 21.10/21.49 tff(13723,plain,
% 21.10/21.49 (~node9(s167)),
% 21.10/21.49 inference(unit_resolution,[status(thm)],[13722, 311, 13719])).
% 21.10/21.49 tff(13724,plain,
% 21.10/21.49 (((~![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)))),
% 21.10/21.49 inference(rewrite,[status(thm)],[])).
% 21.10/21.49 tff(13725,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 21.10/21.49 inference(quant_inst,[status(thm)],[])).
% 21.10/21.49 tff(13726,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167))),
% 21.10/21.49 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 21.10/21.49 tff(13727,plain,
% 21.10/21.49 (~node10(s167)),
% 21.10/21.49 inference(unit_resolution,[status(thm)],[13726, 372, 13719])).
% 21.10/21.49 tff(13728,plain,
% 21.10/21.49 (((~![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)))),
% 21.10/21.49 inference(rewrite,[status(thm)],[])).
% 21.10/21.49 tff(13729,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 21.10/21.49 inference(quant_inst,[status(thm)],[])).
% 21.10/21.49 tff(13730,plain,
% 21.10/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167))),
% 21.10/21.49 inference(modus_ponens,[status(thm)],[13729, 13728])).
% 21.10/21.49 tff(13731,plain,
% 21.10/21.49 (~node8(s167)),
% 21.10/21.49 inference(unit_resolution,[status(thm)],[13730, 383, 13719])).
% 21.10/21.49 tff(13732,plain,
% 21.10/21.49 (((~![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))),
% 21.10/21.49 inference(rewrite,[status(thm)],[])).
% 21.10/21.49 tff(13733,plain,
% 21.10/21.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))),
% 21.10/21.49 inference(quant_inst,[status(thm)],[])).
% 21.10/21.49 tff(13734,plain,
% 21.10/21.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168)),
% 21.10/21.49 inference(modus_ponens,[status(thm)],[13733, 13732])).
% 21.10/21.49 tff(13735,plain,
% 21.10/21.49 (node14(s167, s168)),
% 21.10/21.49 inference(unit_resolution,[status(thm)],[13734, 130, 13666])).
% 21.10/21.49 tff(13736,plain,
% 21.10/21.49 (((~![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(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))),
% 21.10/21.49 inference(rewrite,[status(thm)],[])).
% 21.10/21.49 tff(13737,plain,
% 21.10/21.49 ((~![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(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))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13738,plain,
% 21.20/21.49 ((~![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(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)),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13737, 13736])).
% 21.20/21.49 tff(13739,plain,
% 21.20/21.49 ((~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)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13738, 704, 13735])).
% 21.20/21.49 tff(13740,plain,
% 21.20/21.49 (m_main_v_state2(s168, c_c2)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13739, 13731, 13603, 13659, 13727, 13723])).
% 21.20/21.49 tff(13741,plain,
% 21.20/21.49 (((~![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)))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13742,plain,
% 21.20/21.49 ((~![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)))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13743,plain,
% 21.20/21.49 ((~![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))),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 21.20/21.49 tff(13744,plain,
% 21.20/21.49 (~m_main_v_state2(s168, c_n2)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13743, 716, 13740])).
% 21.20/21.49 tff(13745,plain,
% 21.20/21.49 (((~![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)))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13746,plain,
% 21.20/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13747,plain,
% 21.20/21.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168))),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 21.20/21.49 tff(13748,plain,
% 21.20/21.49 (~node4(s168)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13747, 162, 13744])).
% 21.20/21.49 tff(13749,plain,
% 21.20/21.49 (succ(s168, s169) <=> succ(s168, s169)),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13750,axiom,(succ(s168, s169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound169')).
% 21.20/21.49 tff(13751,plain,
% 21.20/21.49 (succ(s168, s169)),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 21.20/21.49 tff(13752,plain,
% 21.20/21.49 (((~![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))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13753,plain,
% 21.20/21.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13754,plain,
% 21.20/21.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 21.20/21.49 tff(13755,plain,
% 21.20/21.49 (trans(s168, s169)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13754, 13751, 57])).
% 21.20/21.49 tff(13756,plain,
% 21.20/21.49 (((~![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))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13757,plain,
% 21.20/21.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13758,plain,
% 21.20/21.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169)),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13757, 13756])).
% 21.20/21.49 tff(13759,plain,
% 21.20/21.49 (node7(s168, s169)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13758, 217, 13755])).
% 21.20/21.49 tff(13760,plain,
% 21.20/21.49 (((~![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(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)))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13761,plain,
% 21.20/21.49 ((~![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(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13762,plain,
% 21.20/21.49 ((~![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(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169))),
% 21.20/21.49 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 21.20/21.49 tff(13763,plain,
% 21.20/21.49 (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13762, 745, 13759])).
% 21.20/21.49 tff(13764,plain,
% 21.20/21.49 (node6(s168, s169)),
% 21.20/21.49 inference(unit_resolution,[status(thm)],[13763, 13748, 13712, 13708, 13704, 13700, 13683])).
% 21.20/21.49 tff(13765,plain,
% 21.20/21.49 (((~![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(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)))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13766,plain,
% 21.20/21.49 (((~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)))),
% 21.20/21.49 inference(rewrite,[status(thm)],[])).
% 21.20/21.49 tff(13767,plain,
% 21.20/21.49 (((~![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))))),
% 21.20/21.49 inference(monotonicity,[status(thm)],[13766])).
% 21.20/21.49 tff(13768,plain,
% 21.20/21.49 (((~![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)))),
% 21.20/21.49 inference(transitivity,[status(thm)],[13767, 13765])).
% 21.20/21.49 tff(13769,plain,
% 21.20/21.49 ((~![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))),
% 21.20/21.49 inference(quant_inst,[status(thm)],[])).
% 21.20/21.49 tff(13770,plain,
% 21.20/21.49 ((~![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(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 21.20/21.50 tff(13771,plain,
% 21.20/21.50 (m_main_v_state1(s169, c_t1)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13770, 760, 13675, 13764])).
% 21.20/21.50 tff(13772,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13773,plain,
% 21.20/21.50 ((~![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)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13774,plain,
% 21.20/21.50 ((~![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))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13773, 13772])).
% 21.20/21.50 tff(13775,plain,
% 21.20/21.50 (~m_main_v_state2(s168, c_t2)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13774, 173, 13740])).
% 21.20/21.50 tff(13776,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13777,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13778,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 21.20/21.50 tff(13779,plain,
% 21.20/21.50 (~node12(s168)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13778, 778, 13775])).
% 21.20/21.50 tff(13780,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13781,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13782,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 21.20/21.50 tff(13783,plain,
% 21.20/21.50 (~node11(s168)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13782, 361, 13679])).
% 21.20/21.50 tff(13784,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13785,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13786,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 21.20/21.50 tff(13787,plain,
% 21.20/21.50 (~node10(s168)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13786, 793, 13712])).
% 21.20/21.50 tff(13788,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13789,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13790,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13789, 13788])).
% 21.20/21.50 tff(13791,plain,
% 21.20/21.50 (~node9(s168)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13790, 804, 13679])).
% 21.20/21.50 tff(13792,plain,
% 21.20/21.50 (((~![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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13793,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13794,plain,
% 21.20/21.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168))),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 21.20/21.50 tff(13795,plain,
% 21.20/21.50 (~node8(s168)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13794, 383, 13744])).
% 21.20/21.50 tff(13796,plain,
% 21.20/21.50 (((~![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))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13797,plain,
% 21.20/21.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))),
% 21.20/21.50 inference(quant_inst,[status(thm)],[])).
% 21.20/21.50 tff(13798,plain,
% 21.20/21.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169)),
% 21.20/21.50 inference(modus_ponens,[status(thm)],[13797, 13796])).
% 21.20/21.50 tff(13799,plain,
% 21.20/21.50 (node14(s168, s169)),
% 21.20/21.50 inference(unit_resolution,[status(thm)],[13798, 130, 13755])).
% 21.20/21.50 tff(13800,plain,
% 21.20/21.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13801,plain,
% 21.20/21.50 (((~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)))),
% 21.20/21.50 inference(rewrite,[status(thm)],[])).
% 21.20/21.50 tff(13802,plain,
% 21.20/21.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 21.20/21.50 inference(monotonicity,[status(thm)],[13801])).
% 21.20/21.50 tff(13803,plain,
% 21.20/21.50 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.20/21.50 inference(transitivity,[status(thm)],[13802, 13800])).
% 21.20/21.50 tff(13804,plain,
% 21.21/21.50 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.21/21.50 inference(quant_inst,[status(thm)],[])).
% 21.21/21.50 tff(13805,plain,
% 21.21/21.50 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.21/21.50 inference(modus_ponens,[status(thm)],[13804, 13803])).
% 21.21/21.50 tff(13806,plain,
% 21.21/21.50 (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~m_main_v_state2(s168, c_c2))),
% 21.21/21.50 inference(unit_resolution,[status(thm)],[13805, 826, 13799])).
% 21.21/21.50 tff(13807,plain,
% 21.21/21.50 (m_main_v_state2(s169, c_n2)),
% 21.21/21.50 inference(unit_resolution,[status(thm)],[13806, 13795, 13740, 13791, 13787, 13783, 13779])).
% 21.21/21.50 tff(13808,plain,
% 21.21/21.50 (((~![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)))),
% 21.21/21.50 inference(rewrite,[status(thm)],[])).
% 21.21/21.50 tff(13809,plain,
% 21.21/21.50 ((~![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)))),
% 21.21/21.50 inference(quant_inst,[status(thm)],[])).
% 21.21/21.50 tff(13810,plain,
% 21.21/21.50 ((~![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))),
% 21.21/21.50 inference(modus_ponens,[status(thm)],[13809, 13808])).
% 21.21/21.50 tff(13811,plain,
% 21.21/21.50 (~m_main_v_state2(s169, c_t2)),
% 21.21/21.50 inference(unit_resolution,[status(thm)],[13810, 10, 13807])).
% 21.21/21.50 tff(13812,plain,
% 21.21/21.50 (((~![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)))),
% 21.21/21.50 inference(rewrite,[status(thm)],[])).
% 21.21/21.50 tff(13813,plain,
% 21.21/21.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 21.21/21.50 inference(quant_inst,[status(thm)],[])).
% 21.21/21.50 tff(13814,plain,
% 21.21/21.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169))),
% 21.21/21.50 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 21.21/21.50 tff(13815,plain,
% 21.21/21.50 (~node15(s169)),
% 21.21/21.50 inference(unit_resolution,[status(thm)],[13814, 21, 13811])).
% 21.21/21.50 tff(13816,plain,
% 21.21/21.50 (succ(s169, s170) <=> succ(s169, s170)),
% 21.21/21.50 inference(rewrite,[status(thm)],[])).
% 21.21/21.50 tff(13817,axiom,(succ(s169, s170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound170')).
% 21.21/21.50 tff(13818,plain,
% 21.21/21.50 (succ(s169, s170)),
% 21.21/21.50 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 21.21/21.50 tff(13819,plain,
% 21.21/21.50 (((~![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))),
% 21.21/21.50 inference(rewrite,[status(thm)],[])).
% 21.21/21.50 tff(13820,plain,
% 21.21/21.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 21.21/21.50 inference(quant_inst,[status(thm)],[])).
% 21.21/21.50 tff(13821,plain,
% 21.21/21.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 21.21/21.50 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 21.21/21.50 tff(13822,plain,
% 21.21/21.50 (trans(s169, s170)),
% 21.21/21.50 inference(unit_resolution,[status(thm)],[13821, 13818, 57])).
% 21.21/21.50 tff(13823,plain,
% 21.21/21.50 (((~![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))),
% 21.21/21.50 inference(rewrite,[status(thm)],[])).
% 21.21/21.50 tff(13824,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13825,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170)),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13824, 13823])).
% 21.21/21.51 tff(13826,plain,
% 21.21/21.51 (node18(s169, s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13825, 71, 13822])).
% 21.21/21.51 tff(13827,plain,
% 21.21/21.51 (((~![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(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))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13828,plain,
% 21.21/21.51 (((~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))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13829,plain,
% 21.21/21.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 21.21/21.51 inference(monotonicity,[status(thm)],[13828])).
% 21.21/21.51 tff(13830,plain,
% 21.21/21.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 21.21/21.51 inference(transitivity,[status(thm)],[13829, 13827])).
% 21.21/21.51 tff(13831,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13832,plain,
% 21.21/21.51 ((~![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(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)),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 21.21/21.51 tff(13833,plain,
% 21.21/21.51 (node15(s169) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13832, 863, 13826])).
% 21.21/21.51 tff(13834,plain,
% 21.21/21.51 (m_main_v_turn(s170, c_1)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13833, 13815, 13807, 13771])).
% 21.21/21.51 tff(13835,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13836,plain,
% 21.21/21.51 ((~![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)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13837,plain,
% 21.21/21.51 ((~![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))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 21.21/21.51 tff(13838,plain,
% 21.21/21.51 (~m_main_v_turn(s170, c_2)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13837, 322, 13834])).
% 21.21/21.51 tff(13839,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13840,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13841,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 21.21/21.51 tff(13842,plain,
% 21.21/21.51 (~node12(s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13841, 350, 13838])).
% 21.21/21.51 tff(13843,plain,
% 21.21/21.51 (((~![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))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13844,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13845,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170)),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 21.21/21.51 tff(13846,plain,
% 21.21/21.51 (node14(s169, s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13845, 130, 13822])).
% 21.21/21.51 tff(13847,plain,
% 21.21/21.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13848,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13849,plain,
% 21.21/21.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2)),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 21.21/21.51 tff(13850,plain,
% 21.21/21.51 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state2(s170, c_t2)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13849, 893, 13846])).
% 21.21/21.51 tff(13851,plain,
% 21.21/21.51 (m_main_v_state2(s170, c_t2)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13850, 13771, 13807])).
% 21.21/21.51 tff(13852,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13853,plain,
% 21.21/21.51 ((~![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)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13854,plain,
% 21.21/21.51 ((~![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))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 21.21/21.51 tff(13855,plain,
% 21.21/21.51 (~m_main_v_state2(s170, c_n2)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13854, 10, 13851])).
% 21.21/21.51 tff(13856,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13857,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13858,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 21.21/21.51 tff(13859,plain,
% 21.21/21.51 (~node8(s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13858, 383, 13855])).
% 21.21/21.51 tff(13860,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13861,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13862,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 21.21/21.51 tff(13863,plain,
% 21.21/21.51 (~node9(s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13862, 311, 13855])).
% 21.21/21.51 tff(13864,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13865,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13866,plain,
% 21.21/21.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 21.21/21.51 tff(13867,plain,
% 21.21/21.51 (~node10(s170)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13866, 372, 13855])).
% 21.21/21.51 tff(13868,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13869,plain,
% 21.21/21.51 ((~![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)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13870,plain,
% 21.21/21.51 ((~![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))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 21.21/21.51 tff(13871,plain,
% 21.21/21.51 (~m_main_v_state2(s170, c_c2)),
% 21.21/21.51 inference(unit_resolution,[status(thm)],[13870, 173, 13851])).
% 21.21/21.51 tff(13872,plain,
% 21.21/21.51 (((~![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)))),
% 21.21/21.51 inference(rewrite,[status(thm)],[])).
% 21.21/21.51 tff(13873,plain,
% 21.21/21.51 ((~![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)))),
% 21.21/21.51 inference(quant_inst,[status(thm)],[])).
% 21.21/21.51 tff(13874,plain,
% 21.21/21.51 ((~![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))),
% 21.21/21.51 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 21.21/21.52 tff(13875,plain,
% 21.21/21.52 (~m_main_v_state2(s169, c_c2)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13874, 716, 13807])).
% 21.21/21.52 tff(13876,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13877,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13878,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13877, 13876])).
% 21.21/21.52 tff(13879,plain,
% 21.21/21.52 (~node3(s169)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13878, 184, 13875])).
% 21.21/21.52 tff(13880,plain,
% 21.21/21.52 (((~![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(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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13881,plain,
% 21.21/21.52 (((~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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13882,plain,
% 21.21/21.52 (((~![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))))),
% 21.21/21.52 inference(monotonicity,[status(thm)],[13881])).
% 21.21/21.52 tff(13883,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(transitivity,[status(thm)],[13882, 13880])).
% 21.21/21.52 tff(13884,plain,
% 21.21/21.52 ((~![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)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13885,plain,
% 21.21/21.52 ((~![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(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 21.21/21.52 tff(13886,plain,
% 21.21/21.52 (~m_main_v_state1(s169, c_n1)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13885, 936, 13679, 13764])).
% 21.21/21.52 tff(13887,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13888,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13889,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 21.21/21.52 tff(13890,plain,
% 21.21/21.52 (~node2(s169)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13889, 652, 13886])).
% 21.21/21.52 tff(13891,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13892,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13893,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 21.21/21.52 tff(13894,plain,
% 21.21/21.52 (~node1(s169)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13893, 206, 13811])).
% 21.21/21.52 tff(13895,plain,
% 21.21/21.52 (((~![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))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13896,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13897,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170)),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13896, 13895])).
% 21.21/21.52 tff(13898,plain,
% 21.21/21.52 (node7(s169, s170)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13897, 217, 13822])).
% 21.21/21.52 tff(13899,plain,
% 21.21/21.52 (((~![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(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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13900,plain,
% 21.21/21.52 (((~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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13901,plain,
% 21.21/21.52 (((~![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(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))))),
% 21.21/21.52 inference(monotonicity,[status(thm)],[13900])).
% 21.21/21.52 tff(13902,plain,
% 21.21/21.52 (((~![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(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)))),
% 21.21/21.52 inference(transitivity,[status(thm)],[13901, 13899])).
% 21.21/21.52 tff(13903,plain,
% 21.21/21.52 ((~![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(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))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13904,plain,
% 21.21/21.52 ((~![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(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))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 21.21/21.52 tff(13905,plain,
% 21.21/21.52 ((~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)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13904, 965, 13898])).
% 21.21/21.52 tff(13906,plain,
% 21.21/21.52 (m_main_v_state1(s170, c_c1)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13905, 13894, 13807, 13771, 13890, 13879])).
% 21.21/21.52 tff(13907,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13908,plain,
% 21.21/21.52 ((~![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)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13909,plain,
% 21.21/21.52 ((~![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))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13908, 13907])).
% 21.21/21.52 tff(13910,plain,
% 21.21/21.52 (~m_main_v_state1(s170, c_n1)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13909, 449, 13906])).
% 21.21/21.52 tff(13911,plain,
% 21.21/21.52 (((~![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)))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13912,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13913,plain,
% 21.21/21.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170))),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 21.21/21.52 tff(13914,plain,
% 21.21/21.52 (~node11(s170)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13913, 361, 13910])).
% 21.21/21.52 tff(13915,plain,
% 21.21/21.52 (succ(s170, s171) <=> succ(s170, s171)),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13916,axiom,(succ(s170, s171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound171')).
% 21.21/21.52 tff(13917,plain,
% 21.21/21.52 (succ(s170, s171)),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 21.21/21.52 tff(13918,plain,
% 21.21/21.52 (((~![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))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13919,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13920,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 21.21/21.52 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 21.21/21.52 tff(13921,plain,
% 21.21/21.52 (trans(s170, s171)),
% 21.21/21.52 inference(unit_resolution,[status(thm)],[13920, 13917, 57])).
% 21.21/21.52 tff(13922,plain,
% 21.21/21.52 (((~![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))),
% 21.21/21.52 inference(rewrite,[status(thm)],[])).
% 21.21/21.52 tff(13923,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))),
% 21.21/21.52 inference(quant_inst,[status(thm)],[])).
% 21.21/21.52 tff(13924,plain,
% 21.21/21.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171)),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 21.21/21.53 tff(13925,plain,
% 21.21/21.53 (node14(s170, s171)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13924, 130, 13921])).
% 21.21/21.53 tff(13926,plain,
% 21.21/21.53 (((~![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(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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13927,plain,
% 21.21/21.53 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13928,plain,
% 21.21/21.53 ((~![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(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 21.21/21.53 tff(13929,plain,
% 21.21/21.53 (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13928, 401, 13925])).
% 21.21/21.53 tff(13930,plain,
% 21.21/21.53 (node13(s170, s171)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13929, 13914, 13871, 13867, 13863, 13859, 13842])).
% 21.21/21.53 tff(13931,plain,
% 21.21/21.53 (((~![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(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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13932,plain,
% 21.21/21.53 (((~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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13933,plain,
% 21.21/21.53 (((~![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))))),
% 21.21/21.53 inference(monotonicity,[status(thm)],[13932])).
% 21.21/21.53 tff(13934,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(transitivity,[status(thm)],[13933, 13931])).
% 21.21/21.53 tff(13935,plain,
% 21.21/21.53 ((~![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)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13936,plain,
% 21.21/21.53 ((~![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(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 21.21/21.53 tff(13937,plain,
% 21.21/21.53 (~m_main_v_state2(s171, c_n2)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13936, 416, 13855, 13930])).
% 21.21/21.53 tff(13938,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13939,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13940,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 21.21/21.53 tff(13941,plain,
% 21.21/21.53 (~node9(s171)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13940, 311, 13937])).
% 21.21/21.53 tff(13942,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13943,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13944,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13943, 13942])).
% 21.21/21.53 tff(13945,plain,
% 21.21/21.53 (~node10(s171)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13944, 372, 13937])).
% 21.21/21.53 tff(13946,plain,
% 21.21/21.53 (((~![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(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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13947,plain,
% 21.21/21.53 (((~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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13948,plain,
% 21.21/21.53 (((~![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))))),
% 21.21/21.53 inference(monotonicity,[status(thm)],[13947])).
% 21.21/21.53 tff(13949,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(transitivity,[status(thm)],[13948, 13946])).
% 21.21/21.53 tff(13950,plain,
% 21.21/21.53 ((~![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))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13951,plain,
% 21.21/21.53 ((~![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(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13950, 13949])).
% 21.21/21.53 tff(13952,plain,
% 21.21/21.53 (m_main_v_state2(s171, c_t2)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13951, 563, 13851, 13930])).
% 21.21/21.53 tff(13953,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13954,plain,
% 21.21/21.53 ((~![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)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13955,plain,
% 21.21/21.53 ((~![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))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13954, 13953])).
% 21.21/21.53 tff(13956,plain,
% 21.21/21.53 (~m_main_v_state1(s170, c_t1)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13955, 289, 13906])).
% 21.21/21.53 tff(13957,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13958,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13959,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13958, 13957])).
% 21.21/21.53 tff(13960,plain,
% 21.21/21.53 (~node5(s170)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13959, 300, 13956])).
% 21.21/21.53 tff(13961,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13962,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13963,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13962, 13961])).
% 21.21/21.53 tff(13964,plain,
% 21.21/21.53 (~node4(s170)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13963, 162, 13855])).
% 21.21/21.53 tff(13965,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13966,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13967,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 21.21/21.53 tff(13968,plain,
% 21.21/21.53 (~node3(s170)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13967, 184, 13871])).
% 21.21/21.53 tff(13969,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13970,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13971,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170))),
% 21.21/21.53 inference(modus_ponens,[status(thm)],[13970, 13969])).
% 21.21/21.53 tff(13972,plain,
% 21.21/21.53 (~node2(s170)),
% 21.21/21.53 inference(unit_resolution,[status(thm)],[13971, 195, 13855])).
% 21.21/21.53 tff(13973,plain,
% 21.21/21.53 (((~![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)))),
% 21.21/21.53 inference(rewrite,[status(thm)],[])).
% 21.21/21.53 tff(13974,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 21.21/21.53 inference(quant_inst,[status(thm)],[])).
% 21.21/21.53 tff(13975,plain,
% 21.21/21.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13974, 13973])).
% 21.21/21.54 tff(13976,plain,
% 21.21/21.54 (~node1(s170)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13975, 249, 13910])).
% 21.21/21.54 tff(13977,plain,
% 21.21/21.54 (((~![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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13978,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(13979,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13978, 13977])).
% 21.21/21.54 tff(13980,plain,
% 21.21/21.54 (node7(s170, s171)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13979, 217, 13921])).
% 21.21/21.54 tff(13981,plain,
% 21.21/21.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13982,plain,
% 21.21/21.54 (((~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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13983,plain,
% 21.21/21.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 21.21/21.54 inference(monotonicity,[status(thm)],[13982])).
% 21.21/21.54 tff(13984,plain,
% 21.21/21.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 21.21/21.54 inference(transitivity,[status(thm)],[13983, 13981])).
% 21.21/21.54 tff(13985,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(13986,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13985, 13984])).
% 21.21/21.54 tff(13987,plain,
% 21.21/21.54 (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13986, 478, 13980])).
% 21.21/21.54 tff(13988,plain,
% 21.21/21.54 (m_main_v_state1(s171, c_n1)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13987, 13976, 13906, 13972, 13968, 13964, 13960])).
% 21.21/21.54 tff(13989,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13990,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(13991,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13990, 13989])).
% 21.21/21.54 tff(13992,plain,
% 21.21/21.54 (~node8(s171)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13991, 383, 13937])).
% 21.21/21.54 tff(13993,plain,
% 21.21/21.54 (succ(s171, s172) <=> succ(s171, s172)),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13994,axiom,(succ(s171, s172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound172')).
% 21.21/21.54 tff(13995,plain,
% 21.21/21.54 (succ(s171, s172)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 21.21/21.54 tff(13996,plain,
% 21.21/21.54 (((~![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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(13997,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(13998,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[13997, 13996])).
% 21.21/21.54 tff(13999,plain,
% 21.21/21.54 (trans(s171, s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[13998, 13995, 57])).
% 21.21/21.54 tff(14000,plain,
% 21.21/21.54 (((~![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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14001,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14002,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 21.21/21.54 tff(14003,plain,
% 21.21/21.54 (node14(s171, s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14002, 130, 13999])).
% 21.21/21.54 tff(14004,plain,
% 21.21/21.54 (((~![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(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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14005,plain,
% 21.21/21.54 ((~![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(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))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14006,plain,
% 21.21/21.54 ((~![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(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)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 21.21/21.54 tff(14007,plain,
% 21.21/21.54 ((~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)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14006, 704, 14003])).
% 21.21/21.54 tff(14008,plain,
% 21.21/21.54 (m_main_v_state2(s172, c_c2)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14007, 13992, 13988, 13952, 13945, 13941])).
% 21.21/21.54 tff(14009,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14010,plain,
% 21.21/21.54 ((~![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)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14011,plain,
% 21.21/21.54 ((~![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))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 21.21/21.54 tff(14012,plain,
% 21.21/21.54 (~m_main_v_state2(s172, c_t2)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14011, 173, 14008])).
% 21.21/21.54 tff(14013,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14014,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14015,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 21.21/21.54 tff(14016,plain,
% 21.21/21.54 (~node12(s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14015, 778, 14012])).
% 21.21/21.54 tff(14017,plain,
% 21.21/21.54 (((~![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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14018,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14019,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14018, 14017])).
% 21.21/21.54 tff(14020,plain,
% 21.21/21.54 (node7(s171, s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14019, 217, 13999])).
% 21.21/21.54 tff(14021,plain,
% 21.21/21.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14022,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14023,plain,
% 21.21/21.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1)),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14022, 14021])).
% 21.21/21.54 tff(14024,plain,
% 21.21/21.54 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_state1(s172, c_t1)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14023, 598, 14020])).
% 21.21/21.54 tff(14025,plain,
% 21.21/21.54 (m_main_v_state1(s172, c_t1)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14024, 13952, 13988])).
% 21.21/21.54 tff(14026,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14027,plain,
% 21.21/21.54 ((~![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)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14028,plain,
% 21.21/21.54 ((~![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))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 21.21/21.54 tff(14029,plain,
% 21.21/21.54 (~m_main_v_state1(s172, c_n1)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14028, 35, 14025])).
% 21.21/21.54 tff(14030,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14031,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14032,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 21.21/21.54 tff(14033,plain,
% 21.21/21.54 (~node11(s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14032, 361, 14029])).
% 21.21/21.54 tff(14034,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14035,plain,
% 21.21/21.54 ((~![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)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14036,plain,
% 21.21/21.54 ((~![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))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14035, 14034])).
% 21.21/21.54 tff(14037,plain,
% 21.21/21.54 (~m_main_v_state1(s172, c_c1)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14036, 289, 14025])).
% 21.21/21.54 tff(14038,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.54 inference(rewrite,[status(thm)],[])).
% 21.21/21.54 tff(14039,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 21.21/21.54 inference(quant_inst,[status(thm)],[])).
% 21.21/21.54 tff(14040,plain,
% 21.21/21.54 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172))),
% 21.21/21.54 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 21.21/21.54 tff(14041,plain,
% 21.21/21.54 (~node10(s172)),
% 21.21/21.54 inference(unit_resolution,[status(thm)],[14040, 793, 14037])).
% 21.21/21.54 tff(14042,plain,
% 21.21/21.54 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14043,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14044,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14043, 14042])).
% 21.21/21.55 tff(14045,plain,
% 21.21/21.55 (~node9(s172)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14044, 804, 14029])).
% 21.21/21.55 tff(14046,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14047,plain,
% 21.21/21.55 ((~![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)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14048,plain,
% 21.21/21.55 ((~![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))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 21.21/21.55 tff(14049,plain,
% 21.21/21.55 (~m_main_v_state2(s172, c_n2)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14048, 716, 14008])).
% 21.21/21.55 tff(14050,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14051,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14052,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 21.21/21.55 tff(14053,plain,
% 21.21/21.55 (~node8(s172)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14052, 383, 14049])).
% 21.21/21.55 tff(14054,plain,
% 21.21/21.55 (succ(s172, s173) <=> succ(s172, s173)),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14055,axiom,(succ(s172, s173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound173')).
% 21.21/21.55 tff(14056,plain,
% 21.21/21.55 (succ(s172, s173)),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 21.21/21.55 tff(14057,plain,
% 21.21/21.55 (((~![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))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14058,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14059,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14058, 14057])).
% 21.21/21.55 tff(14060,plain,
% 21.21/21.55 (trans(s172, s173)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14059, 14056, 57])).
% 21.21/21.55 tff(14061,plain,
% 21.21/21.55 (((~![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))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14062,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14063,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173)),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 21.21/21.55 tff(14064,plain,
% 21.21/21.55 (node14(s172, s173)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14063, 130, 14060])).
% 21.21/21.55 tff(14065,plain,
% 21.21/21.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14066,plain,
% 21.21/21.55 (((~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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14067,plain,
% 21.21/21.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 21.21/21.55 inference(monotonicity,[status(thm)],[14066])).
% 21.21/21.55 tff(14068,plain,
% 21.21/21.55 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 21.21/21.55 inference(transitivity,[status(thm)],[14067, 14065])).
% 21.21/21.55 tff(14069,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14070,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14069, 14068])).
% 21.21/21.55 tff(14071,plain,
% 21.21/21.55 (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~m_main_v_state2(s172, c_c2))),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14070, 826, 14064])).
% 21.21/21.55 tff(14072,plain,
% 21.21/21.55 (m_main_v_state2(s173, c_n2)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14071, 14053, 14008, 14045, 14041, 14033, 14016])).
% 21.21/21.55 tff(14073,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14074,plain,
% 21.21/21.55 ((~![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)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14075,plain,
% 21.21/21.55 ((~![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))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14074, 14073])).
% 21.21/21.55 tff(14076,plain,
% 21.21/21.55 (~m_main_v_state2(s173, c_c2)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14075, 716, 14072])).
% 21.21/21.55 tff(14077,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14078,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14079,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 21.21/21.55 tff(14080,plain,
% 21.21/21.55 (~node3(s173)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14079, 184, 14076])).
% 21.21/21.55 tff(14081,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14082,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14083,plain,
% 21.21/21.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172))),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 21.21/21.55 tff(14084,plain,
% 21.21/21.55 (~node1(s172)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14083, 249, 14029])).
% 21.21/21.55 tff(14085,plain,
% 21.21/21.55 (((~![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))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14086,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14087,plain,
% 21.21/21.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172)),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 21.21/21.55 tff(14088,plain,
% 21.21/21.55 (node18(s171, s172)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14087, 71, 13999])).
% 21.21/21.55 tff(14089,plain,
% 21.21/21.55 (((~![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(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))),
% 21.21/21.55 inference(rewrite,[status(thm)],[])).
% 21.21/21.55 tff(14090,plain,
% 21.21/21.55 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 21.21/21.55 inference(quant_inst,[status(thm)],[])).
% 21.21/21.55 tff(14091,plain,
% 21.21/21.55 ((~![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(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2)),
% 21.21/21.55 inference(modus_ponens,[status(thm)],[14090, 14089])).
% 21.21/21.55 tff(14092,plain,
% 21.21/21.55 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_turn(s172, c_2)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14091, 625, 14088])).
% 21.21/21.55 tff(14093,plain,
% 21.21/21.55 (m_main_v_turn(s172, c_2)),
% 21.21/21.55 inference(unit_resolution,[status(thm)],[14092, 13952, 13988])).
% 21.21/21.55 tff(14094,plain,
% 21.21/21.55 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14095,plain,
% 21.21/21.56 ((~![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)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14096,plain,
% 21.21/21.56 ((~![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))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14095, 14094])).
% 21.21/21.56 tff(14097,plain,
% 21.21/21.56 (~m_main_v_turn(s172, c_1)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14096, 322, 14093])).
% 21.21/21.56 tff(14098,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14099,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14100,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14099, 14098])).
% 21.21/21.56 tff(14101,plain,
% 21.21/21.56 (~node5(s172)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14100, 641, 14097])).
% 21.21/21.56 tff(14102,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14103,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14104,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 21.21/21.56 tff(14105,plain,
% 21.21/21.56 (~node2(s172)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14104, 652, 14029])).
% 21.21/21.56 tff(14106,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14107,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14108,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14107, 14106])).
% 21.21/21.56 tff(14109,plain,
% 21.21/21.56 (~node3(s172)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14108, 663, 14029])).
% 21.21/21.56 tff(14110,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14111,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14112,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14111, 14110])).
% 21.21/21.56 tff(14113,plain,
% 21.21/21.56 (~node4(s172)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14112, 162, 14049])).
% 21.21/21.56 tff(14114,plain,
% 21.21/21.56 (((~![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))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14115,plain,
% 21.21/21.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14116,plain,
% 21.21/21.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173)),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 21.21/21.56 tff(14117,plain,
% 21.21/21.56 (node7(s172, s173)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14116, 217, 14060])).
% 21.21/21.56 tff(14118,plain,
% 21.21/21.56 (((~![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(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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14119,plain,
% 21.21/21.56 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14120,plain,
% 21.21/21.56 ((~![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(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 21.21/21.56 tff(14121,plain,
% 21.21/21.56 (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14120, 745, 14117])).
% 21.21/21.56 tff(14122,plain,
% 21.21/21.56 (node6(s172, s173)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14121, 14113, 14037, 14109, 14105, 14101, 14084])).
% 21.21/21.56 tff(14123,plain,
% 21.21/21.56 (((~![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(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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14124,plain,
% 21.21/21.56 (((~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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14125,plain,
% 21.21/21.56 (((~![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))))),
% 21.21/21.56 inference(monotonicity,[status(thm)],[14124])).
% 21.21/21.56 tff(14126,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(transitivity,[status(thm)],[14125, 14123])).
% 21.21/21.56 tff(14127,plain,
% 21.21/21.56 ((~![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)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14128,plain,
% 21.21/21.56 ((~![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(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 21.21/21.56 tff(14129,plain,
% 21.21/21.56 (~m_main_v_state1(s173, c_n1)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14128, 936, 14029, 14122])).
% 21.21/21.56 tff(14130,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14131,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14132,plain,
% 21.21/21.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14131, 14130])).
% 21.21/21.56 tff(14133,plain,
% 21.21/21.56 (~node2(s173)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14132, 652, 14129])).
% 21.21/21.56 tff(14134,plain,
% 21.21/21.56 (((~![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(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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14135,plain,
% 21.21/21.56 (((~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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14136,plain,
% 21.21/21.56 (((~![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))))),
% 21.21/21.56 inference(monotonicity,[status(thm)],[14135])).
% 21.21/21.56 tff(14137,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(transitivity,[status(thm)],[14136, 14134])).
% 21.21/21.56 tff(14138,plain,
% 21.21/21.56 ((~![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))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14139,plain,
% 21.21/21.56 ((~![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(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 21.21/21.56 tff(14140,plain,
% 21.21/21.56 (m_main_v_state1(s173, c_t1)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14139, 760, 14025, 14122])).
% 21.21/21.56 tff(14141,plain,
% 21.21/21.56 (((~![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)))),
% 21.21/21.56 inference(rewrite,[status(thm)],[])).
% 21.21/21.56 tff(14142,plain,
% 21.21/21.56 ((~![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)))),
% 21.21/21.56 inference(quant_inst,[status(thm)],[])).
% 21.21/21.56 tff(14143,plain,
% 21.21/21.56 ((~![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))),
% 21.21/21.56 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 21.21/21.56 tff(14144,plain,
% 21.21/21.56 (~m_main_v_state2(s173, c_t2)),
% 21.21/21.56 inference(unit_resolution,[status(thm)],[14143, 10, 14072])).
% 21.21/21.56 tff(14145,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14146,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14147,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14146, 14145])).
% 21.21/21.57 tff(14148,plain,
% 21.21/21.57 (~node1(s173)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14147, 206, 14144])).
% 21.21/21.57 tff(14149,plain,
% 21.21/21.57 (succ(s173, s174) <=> succ(s173, s174)),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14150,axiom,(succ(s173, s174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound174')).
% 21.21/21.57 tff(14151,plain,
% 21.21/21.57 (succ(s173, s174)),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14150, 14149])).
% 21.21/21.57 tff(14152,plain,
% 21.21/21.57 (((~![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))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14153,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14154,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 21.21/21.57 tff(14155,plain,
% 21.21/21.57 (trans(s173, s174)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14154, 14151, 57])).
% 21.21/21.57 tff(14156,plain,
% 21.21/21.57 (((~![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))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14157,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14158,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174)),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14157, 14156])).
% 21.21/21.57 tff(14159,plain,
% 21.21/21.57 (node7(s173, s174)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14158, 217, 14155])).
% 21.21/21.57 tff(14160,plain,
% 21.21/21.57 (((~![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(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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14161,plain,
% 21.21/21.57 (((~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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14162,plain,
% 21.21/21.57 (((~![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(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))))),
% 21.21/21.57 inference(monotonicity,[status(thm)],[14161])).
% 21.21/21.57 tff(14163,plain,
% 21.21/21.57 (((~![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(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)))),
% 21.21/21.57 inference(transitivity,[status(thm)],[14162, 14160])).
% 21.21/21.57 tff(14164,plain,
% 21.21/21.57 ((~![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(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))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14165,plain,
% 21.21/21.57 ((~![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(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))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14164, 14163])).
% 21.21/21.57 tff(14166,plain,
% 21.21/21.57 ((~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)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14165, 965, 14159])).
% 21.21/21.57 tff(14167,plain,
% 21.21/21.57 (m_main_v_state1(s174, c_c1)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14166, 14148, 14072, 14140, 14133, 14080])).
% 21.21/21.57 tff(14168,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14169,plain,
% 21.21/21.57 ((~![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)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14170,plain,
% 21.21/21.57 ((~![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))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 21.21/21.57 tff(14171,plain,
% 21.21/21.57 (~m_main_v_state1(s174, c_t1)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14170, 289, 14167])).
% 21.21/21.57 tff(14172,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14173,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14174,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14173, 14172])).
% 21.21/21.57 tff(14175,plain,
% 21.21/21.57 (~node5(s174)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14174, 300, 14171])).
% 21.21/21.57 tff(14176,plain,
% 21.21/21.57 (((~![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))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14177,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14178,plain,
% 21.21/21.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174)),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 21.21/21.57 tff(14179,plain,
% 21.21/21.57 (node14(s173, s174)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14178, 130, 14155])).
% 21.21/21.57 tff(14180,plain,
% 21.21/21.57 (((~![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(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))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14181,plain,
% 21.21/21.57 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14182,plain,
% 21.21/21.57 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2)),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 21.21/21.57 tff(14183,plain,
% 21.21/21.57 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state2(s174, c_t2)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14182, 893, 14179])).
% 21.21/21.57 tff(14184,plain,
% 21.21/21.57 (m_main_v_state2(s174, c_t2)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14183, 14140, 14072])).
% 21.21/21.57 tff(14185,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14186,plain,
% 21.21/21.57 ((~![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)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14187,plain,
% 21.21/21.57 ((~![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))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 21.21/21.57 tff(14188,plain,
% 21.21/21.57 (~m_main_v_state2(s174, c_n2)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14187, 10, 14184])).
% 21.21/21.57 tff(14189,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14190,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.57 tff(14191,plain,
% 21.21/21.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174))),
% 21.21/21.57 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 21.21/21.57 tff(14192,plain,
% 21.21/21.57 (~node4(s174)),
% 21.21/21.57 inference(unit_resolution,[status(thm)],[14191, 162, 14188])).
% 21.21/21.57 tff(14193,plain,
% 21.21/21.57 (((~![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)))),
% 21.21/21.57 inference(rewrite,[status(thm)],[])).
% 21.21/21.57 tff(14194,plain,
% 21.21/21.57 ((~![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)))),
% 21.21/21.57 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14195,plain,
% 21.21/21.58 ((~![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))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 21.21/21.58 tff(14196,plain,
% 21.21/21.58 (~m_main_v_state2(s174, c_c2)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14195, 173, 14184])).
% 21.21/21.58 tff(14197,plain,
% 21.21/21.58 (((~![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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14198,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14199,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 21.21/21.58 tff(14200,plain,
% 21.21/21.58 (~node3(s174)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14199, 184, 14196])).
% 21.21/21.58 tff(14201,plain,
% 21.21/21.58 (((~![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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14202,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14203,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 21.21/21.58 tff(14204,plain,
% 21.21/21.58 (~node2(s174)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14203, 195, 14188])).
% 21.21/21.58 tff(14205,plain,
% 21.21/21.58 (((~![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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14206,plain,
% 21.21/21.58 ((~![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)))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14207,plain,
% 21.21/21.58 ((~![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))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 21.21/21.58 tff(14208,plain,
% 21.21/21.58 (~m_main_v_state1(s174, c_n1)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14207, 449, 14167])).
% 21.21/21.58 tff(14209,plain,
% 21.21/21.58 (((~![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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14210,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14211,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 21.21/21.58 tff(14212,plain,
% 21.21/21.58 (~node1(s174)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14211, 249, 14208])).
% 21.21/21.58 tff(14213,plain,
% 21.21/21.58 (succ(s174, s175) <=> succ(s174, s175)),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14214,axiom,(succ(s174, s175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound175')).
% 21.21/21.58 tff(14215,plain,
% 21.21/21.58 (succ(s174, s175)),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 21.21/21.58 tff(14216,plain,
% 21.21/21.58 (((~![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))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14217,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14218,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 21.21/21.58 tff(14219,plain,
% 21.21/21.58 (trans(s174, s175)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14218, 14215, 57])).
% 21.21/21.58 tff(14220,plain,
% 21.21/21.58 (((~![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))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14221,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14222,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175)),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 21.21/21.58 tff(14223,plain,
% 21.21/21.58 (node7(s174, s175)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14222, 217, 14219])).
% 21.21/21.58 tff(14224,plain,
% 21.21/21.58 (((~![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(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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14225,plain,
% 21.21/21.58 (((~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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14226,plain,
% 21.21/21.58 (((~![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(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))))),
% 21.21/21.58 inference(monotonicity,[status(thm)],[14225])).
% 21.21/21.58 tff(14227,plain,
% 21.21/21.58 (((~![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(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)))),
% 21.21/21.58 inference(transitivity,[status(thm)],[14226, 14224])).
% 21.21/21.58 tff(14228,plain,
% 21.21/21.58 ((~![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(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14229,plain,
% 21.21/21.58 ((~![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(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14228, 14227])).
% 21.21/21.58 tff(14230,plain,
% 21.21/21.58 (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14229, 478, 14223])).
% 21.21/21.58 tff(14231,plain,
% 21.21/21.58 (m_main_v_state1(s175, c_n1)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14230, 14212, 14167, 14204, 14200, 14192, 14175])).
% 21.21/21.58 tff(14232,plain,
% 21.21/21.58 (((~![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)))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14233,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14234,plain,
% 21.21/21.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173))),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 21.21/21.58 tff(14235,plain,
% 21.21/21.58 (~node15(s173)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14234, 21, 14144])).
% 21.21/21.58 tff(14236,plain,
% 21.21/21.58 (((~![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))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14237,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))),
% 21.21/21.58 inference(quant_inst,[status(thm)],[])).
% 21.21/21.58 tff(14238,plain,
% 21.21/21.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174)),
% 21.21/21.58 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 21.21/21.58 tff(14239,plain,
% 21.21/21.58 (node18(s173, s174)),
% 21.21/21.58 inference(unit_resolution,[status(thm)],[14238, 71, 14155])).
% 21.21/21.58 tff(14240,plain,
% 21.21/21.58 (((~![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(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))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14241,plain,
% 21.21/21.58 (((~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))),
% 21.21/21.58 inference(rewrite,[status(thm)],[])).
% 21.21/21.58 tff(14242,plain,
% 21.21/21.58 (((~![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(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)))),
% 21.21/21.58 inference(monotonicity,[status(thm)],[14241])).
% 21.21/21.58 tff(14243,plain,
% 21.21/21.58 (((~![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(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))),
% 21.21/21.59 inference(transitivity,[status(thm)],[14242, 14240])).
% 21.21/21.59 tff(14244,plain,
% 21.21/21.59 ((~![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(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14245,plain,
% 21.21/21.59 ((~![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(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)),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14244, 14243])).
% 21.21/21.59 tff(14246,plain,
% 21.21/21.59 (node15(s173) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14245, 863, 14239])).
% 21.21/21.59 tff(14247,plain,
% 21.21/21.59 (m_main_v_turn(s174, c_1)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14246, 14235, 14072, 14140])).
% 21.21/21.59 tff(14248,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14249,plain,
% 21.21/21.59 ((~![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)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14250,plain,
% 21.21/21.59 ((~![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))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 21.21/21.59 tff(14251,plain,
% 21.21/21.59 (~m_main_v_turn(s174, c_2)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14250, 322, 14247])).
% 21.21/21.59 tff(14252,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14253,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14254,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14253, 14252])).
% 21.21/21.59 tff(14255,plain,
% 21.21/21.59 (~node12(s174)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14254, 350, 14251])).
% 21.21/21.59 tff(14256,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14257,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14258,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 21.21/21.59 tff(14259,plain,
% 21.21/21.59 (~node8(s174)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14258, 383, 14188])).
% 21.21/21.59 tff(14260,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14261,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14262,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14261, 14260])).
% 21.21/21.59 tff(14263,plain,
% 21.21/21.59 (~node9(s174)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14262, 311, 14188])).
% 21.21/21.59 tff(14264,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14265,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14266,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14265, 14264])).
% 21.21/21.59 tff(14267,plain,
% 21.21/21.59 (~node10(s174)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14266, 372, 14188])).
% 21.21/21.59 tff(14268,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14269,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14270,plain,
% 21.21/21.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 21.21/21.59 tff(14271,plain,
% 21.21/21.59 (~node11(s174)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14270, 361, 14208])).
% 21.21/21.59 tff(14272,plain,
% 21.21/21.59 (((~![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))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14273,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14274,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175)),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 21.21/21.59 tff(14275,plain,
% 21.21/21.59 (node14(s174, s175)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14274, 130, 14219])).
% 21.21/21.59 tff(14276,plain,
% 21.21/21.59 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14277,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14278,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 21.21/21.59 tff(14279,plain,
% 21.21/21.59 (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14278, 401, 14275])).
% 21.21/21.59 tff(14280,plain,
% 21.21/21.59 (node13(s174, s175)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14279, 14271, 14196, 14267, 14263, 14259, 14255])).
% 21.21/21.59 tff(14281,plain,
% 21.21/21.59 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14282,plain,
% 21.21/21.59 (((~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)))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14283,plain,
% 21.21/21.59 (((~![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))))),
% 21.21/21.59 inference(monotonicity,[status(thm)],[14282])).
% 21.21/21.59 tff(14284,plain,
% 21.21/21.59 (((~![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)))),
% 21.21/21.59 inference(transitivity,[status(thm)],[14283, 14281])).
% 21.21/21.59 tff(14285,plain,
% 21.21/21.59 ((~![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))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14286,plain,
% 21.21/21.59 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 21.21/21.59 tff(14287,plain,
% 21.21/21.59 (m_main_v_state2(s175, c_t2)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14286, 563, 14184, 14280])).
% 21.21/21.59 tff(14288,plain,
% 21.21/21.59 (succ(s175, s176) <=> succ(s175, s176)),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14289,axiom,(succ(s175, s176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound176')).
% 21.21/21.59 tff(14290,plain,
% 21.21/21.59 (succ(s175, s176)),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14289, 14288])).
% 21.21/21.59 tff(14291,plain,
% 21.21/21.59 (((~![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))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14292,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14293,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14292, 14291])).
% 21.21/21.59 tff(14294,plain,
% 21.21/21.59 (trans(s175, s176)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14293, 14290, 57])).
% 21.21/21.59 tff(14295,plain,
% 21.21/21.59 (((~![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))),
% 21.21/21.59 inference(rewrite,[status(thm)],[])).
% 21.21/21.59 tff(14296,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))),
% 21.21/21.59 inference(quant_inst,[status(thm)],[])).
% 21.21/21.59 tff(14297,plain,
% 21.21/21.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176)),
% 21.21/21.59 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 21.21/21.59 tff(14298,plain,
% 21.21/21.59 (node7(s175, s176)),
% 21.21/21.59 inference(unit_resolution,[status(thm)],[14297, 217, 14294])).
% 21.21/21.59 tff(14299,plain,
% 21.30/21.60 (((~![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(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))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14300,plain,
% 21.30/21.60 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14301,plain,
% 21.30/21.60 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1)),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 21.30/21.60 tff(14302,plain,
% 21.30/21.60 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_state1(s176, c_t1)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14301, 598, 14298])).
% 21.30/21.60 tff(14303,plain,
% 21.30/21.60 (m_main_v_state1(s176, c_t1)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14302, 14287, 14231])).
% 21.30/21.60 tff(14304,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14305,plain,
% 21.30/21.60 ((~![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)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14306,plain,
% 21.30/21.60 ((~![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))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 21.30/21.60 tff(14307,plain,
% 21.30/21.60 (~m_main_v_state1(s176, c_n1)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14306, 35, 14303])).
% 21.30/21.60 tff(14308,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14309,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14310,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 21.30/21.60 tff(14311,plain,
% 21.30/21.60 (~node1(s176)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14310, 249, 14307])).
% 21.30/21.60 tff(14312,plain,
% 21.30/21.60 (((~![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))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14313,plain,
% 21.30/21.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14314,plain,
% 21.30/21.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176)),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 21.30/21.60 tff(14315,plain,
% 21.30/21.60 (node18(s175, s176)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14314, 71, 14294])).
% 21.30/21.60 tff(14316,plain,
% 21.30/21.60 (((~![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(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))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14317,plain,
% 21.30/21.60 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14318,plain,
% 21.30/21.60 ((~![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(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2)),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 21.30/21.60 tff(14319,plain,
% 21.30/21.60 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_turn(s176, c_2)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14318, 625, 14315])).
% 21.30/21.60 tff(14320,plain,
% 21.30/21.60 (m_main_v_turn(s176, c_2)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14319, 14287, 14231])).
% 21.30/21.60 tff(14321,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14322,plain,
% 21.30/21.60 ((~![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)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14323,plain,
% 21.30/21.60 ((~![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))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 21.30/21.60 tff(14324,plain,
% 21.30/21.60 (~m_main_v_turn(s176, c_1)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14323, 322, 14320])).
% 21.30/21.60 tff(14325,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14326,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14327,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 21.30/21.60 tff(14328,plain,
% 21.30/21.60 (~node5(s176)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14327, 641, 14324])).
% 21.30/21.60 tff(14329,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14330,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14331,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 21.30/21.60 tff(14332,plain,
% 21.30/21.60 (~node2(s176)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14331, 652, 14307])).
% 21.30/21.60 tff(14333,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14334,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14335,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 21.30/21.60 tff(14336,plain,
% 21.30/21.60 (~node3(s176)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14335, 663, 14307])).
% 21.30/21.60 tff(14337,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14338,plain,
% 21.30/21.60 ((~![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)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14339,plain,
% 21.30/21.60 ((~![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))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 21.30/21.60 tff(14340,plain,
% 21.30/21.60 (~m_main_v_state1(s176, c_c1)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14339, 289, 14303])).
% 21.30/21.60 tff(14341,plain,
% 21.30/21.60 (((~![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(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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14342,plain,
% 21.30/21.60 (((~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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14343,plain,
% 21.30/21.60 (((~![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))))),
% 21.30/21.60 inference(monotonicity,[status(thm)],[14342])).
% 21.30/21.60 tff(14344,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(transitivity,[status(thm)],[14343, 14341])).
% 21.30/21.60 tff(14345,plain,
% 21.30/21.60 ((~![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)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14346,plain,
% 21.30/21.60 ((~![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(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14345, 14344])).
% 21.30/21.60 tff(14347,plain,
% 21.30/21.60 (~m_main_v_state2(s175, c_n2)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14346, 416, 14188, 14280])).
% 21.30/21.60 tff(14348,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14349,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14350,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14349, 14348])).
% 21.30/21.60 tff(14351,plain,
% 21.30/21.60 (~node9(s175)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14350, 311, 14347])).
% 21.30/21.60 tff(14352,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.60 inference(rewrite,[status(thm)],[])).
% 21.30/21.60 tff(14353,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 21.30/21.60 inference(quant_inst,[status(thm)],[])).
% 21.30/21.60 tff(14354,plain,
% 21.30/21.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175))),
% 21.30/21.60 inference(modus_ponens,[status(thm)],[14353, 14352])).
% 21.30/21.60 tff(14355,plain,
% 21.30/21.60 (~node10(s175)),
% 21.30/21.60 inference(unit_resolution,[status(thm)],[14354, 372, 14347])).
% 21.30/21.60 tff(14356,plain,
% 21.30/21.60 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14357,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14358,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 21.30/21.61 tff(14359,plain,
% 21.30/21.61 (~node8(s175)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14358, 383, 14347])).
% 21.30/21.61 tff(14360,plain,
% 21.30/21.61 (((~![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))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14361,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14362,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176)),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14361, 14360])).
% 21.30/21.61 tff(14363,plain,
% 21.30/21.61 (node14(s175, s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14362, 130, 14294])).
% 21.30/21.61 tff(14364,plain,
% 21.30/21.61 (((~![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(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))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14365,plain,
% 21.30/21.61 ((~![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(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))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14366,plain,
% 21.30/21.61 ((~![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(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)),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 21.30/21.61 tff(14367,plain,
% 21.30/21.61 ((~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)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14366, 704, 14363])).
% 21.30/21.61 tff(14368,plain,
% 21.30/21.61 (m_main_v_state2(s176, c_c2)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14367, 14359, 14231, 14287, 14355, 14351])).
% 21.30/21.61 tff(14369,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14370,plain,
% 21.30/21.61 ((~![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)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14371,plain,
% 21.30/21.61 ((~![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))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 21.30/21.61 tff(14372,plain,
% 21.30/21.61 (~m_main_v_state2(s176, c_n2)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14371, 716, 14368])).
% 21.30/21.61 tff(14373,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14374,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14375,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 21.30/21.61 tff(14376,plain,
% 21.30/21.61 (~node4(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14375, 162, 14372])).
% 21.30/21.61 tff(14377,plain,
% 21.30/21.61 (succ(s176, s177) <=> succ(s176, s177)),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14378,axiom,(succ(s176, s177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound177')).
% 21.30/21.61 tff(14379,plain,
% 21.30/21.61 (succ(s176, s177)),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 21.30/21.61 tff(14380,plain,
% 21.30/21.61 (((~![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))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14381,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14382,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 21.30/21.61 tff(14383,plain,
% 21.30/21.61 (trans(s176, s177)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14382, 14379, 57])).
% 21.30/21.61 tff(14384,plain,
% 21.30/21.61 (((~![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))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14385,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14386,plain,
% 21.30/21.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177)),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 21.30/21.61 tff(14387,plain,
% 21.30/21.61 (node7(s176, s177)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14386, 217, 14383])).
% 21.30/21.61 tff(14388,plain,
% 21.30/21.61 (((~![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(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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14389,plain,
% 21.30/21.61 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14390,plain,
% 21.30/21.61 ((~![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(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 21.30/21.61 tff(14391,plain,
% 21.30/21.61 (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14390, 745, 14387])).
% 21.30/21.61 tff(14392,plain,
% 21.30/21.61 (node6(s176, s177)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14391, 14376, 14340, 14336, 14332, 14328, 14311])).
% 21.30/21.61 tff(14393,plain,
% 21.30/21.61 (((~![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(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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14394,plain,
% 21.30/21.61 (((~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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14395,plain,
% 21.30/21.61 (((~![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))))),
% 21.30/21.61 inference(monotonicity,[status(thm)],[14394])).
% 21.30/21.61 tff(14396,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(transitivity,[status(thm)],[14395, 14393])).
% 21.30/21.61 tff(14397,plain,
% 21.30/21.61 ((~![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))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14398,plain,
% 21.30/21.61 ((~![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(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 21.30/21.61 tff(14399,plain,
% 21.30/21.61 (m_main_v_state1(s177, c_t1)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14398, 760, 14303, 14392])).
% 21.30/21.61 tff(14400,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14401,plain,
% 21.30/21.61 ((~![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)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14402,plain,
% 21.30/21.61 ((~![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))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 21.30/21.61 tff(14403,plain,
% 21.30/21.61 (~m_main_v_state2(s176, c_t2)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14402, 173, 14368])).
% 21.30/21.61 tff(14404,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14405,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14406,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 21.30/21.61 tff(14407,plain,
% 21.30/21.61 (~node12(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14406, 778, 14403])).
% 21.30/21.61 tff(14408,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14409,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14410,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 21.30/21.61 tff(14411,plain,
% 21.30/21.61 (~node11(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14410, 361, 14307])).
% 21.30/21.61 tff(14412,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14413,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14414,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 21.30/21.61 tff(14415,plain,
% 21.30/21.61 (~node10(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14414, 793, 14340])).
% 21.30/21.61 tff(14416,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14417,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14418,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 21.30/21.61 tff(14419,plain,
% 21.30/21.61 (~node9(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14418, 804, 14307])).
% 21.30/21.61 tff(14420,plain,
% 21.30/21.61 (((~![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)))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.61 tff(14421,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 21.30/21.61 inference(quant_inst,[status(thm)],[])).
% 21.30/21.61 tff(14422,plain,
% 21.30/21.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176))),
% 21.30/21.61 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 21.30/21.61 tff(14423,plain,
% 21.30/21.61 (~node8(s176)),
% 21.30/21.61 inference(unit_resolution,[status(thm)],[14422, 383, 14372])).
% 21.30/21.61 tff(14424,plain,
% 21.30/21.61 (((~![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))),
% 21.30/21.61 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14425,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14426,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177)),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14425, 14424])).
% 21.30/21.62 tff(14427,plain,
% 21.30/21.62 (node14(s176, s177)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14426, 130, 14383])).
% 21.30/21.62 tff(14428,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14429,plain,
% 21.30/21.62 (((~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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14430,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 21.30/21.62 inference(monotonicity,[status(thm)],[14429])).
% 21.30/21.62 tff(14431,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 21.30/21.62 inference(transitivity,[status(thm)],[14430, 14428])).
% 21.30/21.62 tff(14432,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14433,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14432, 14431])).
% 21.30/21.62 tff(14434,plain,
% 21.30/21.62 (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~m_main_v_state2(s176, c_c2))),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14433, 826, 14427])).
% 21.30/21.62 tff(14435,plain,
% 21.30/21.62 (m_main_v_state2(s177, c_n2)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14434, 14423, 14368, 14419, 14415, 14411, 14407])).
% 21.30/21.62 tff(14436,plain,
% 21.30/21.62 (((~![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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14437,plain,
% 21.30/21.62 ((~![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)))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14438,plain,
% 21.30/21.62 ((~![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))),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 21.30/21.62 tff(14439,plain,
% 21.30/21.62 (~m_main_v_state2(s177, c_t2)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14438, 10, 14435])).
% 21.30/21.62 tff(14440,plain,
% 21.30/21.62 (((~![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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14441,plain,
% 21.30/21.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14442,plain,
% 21.30/21.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177))),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14441, 14440])).
% 21.30/21.62 tff(14443,plain,
% 21.30/21.62 (~node15(s177)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14442, 21, 14439])).
% 21.30/21.62 tff(14444,plain,
% 21.30/21.62 (succ(s177, s178) <=> succ(s177, s178)),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14445,axiom,(succ(s177, s178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound178')).
% 21.30/21.62 tff(14446,plain,
% 21.30/21.62 (succ(s177, s178)),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 21.30/21.62 tff(14447,plain,
% 21.30/21.62 (((~![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))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14448,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14449,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 21.30/21.62 tff(14450,plain,
% 21.30/21.62 (trans(s177, s178)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14449, 14446, 57])).
% 21.30/21.62 tff(14451,plain,
% 21.30/21.62 (((~![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))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14452,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14453,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178)),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 21.30/21.62 tff(14454,plain,
% 21.30/21.62 (node18(s177, s178)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14453, 71, 14450])).
% 21.30/21.62 tff(14455,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(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))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14456,plain,
% 21.30/21.62 (((~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))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14457,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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)))),
% 21.30/21.62 inference(monotonicity,[status(thm)],[14456])).
% 21.30/21.62 tff(14458,plain,
% 21.30/21.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(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))),
% 21.30/21.62 inference(transitivity,[status(thm)],[14457, 14455])).
% 21.30/21.62 tff(14459,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14460,plain,
% 21.30/21.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(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)),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 21.30/21.62 tff(14461,plain,
% 21.30/21.62 (node15(s177) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14460, 863, 14454])).
% 21.30/21.62 tff(14462,plain,
% 21.30/21.62 (m_main_v_turn(s178, c_1)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14461, 14443, 14435, 14399])).
% 21.30/21.62 tff(14463,plain,
% 21.30/21.62 (((~![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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14464,plain,
% 21.30/21.62 ((~![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)))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14465,plain,
% 21.30/21.62 ((~![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))),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14464, 14463])).
% 21.30/21.62 tff(14466,plain,
% 21.30/21.62 (~m_main_v_turn(s178, c_2)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14465, 322, 14462])).
% 21.30/21.62 tff(14467,plain,
% 21.30/21.62 (((~![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)))),
% 21.30/21.62 inference(rewrite,[status(thm)],[])).
% 21.30/21.62 tff(14468,plain,
% 21.30/21.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 21.30/21.62 inference(quant_inst,[status(thm)],[])).
% 21.30/21.62 tff(14469,plain,
% 21.30/21.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178))),
% 21.30/21.62 inference(modus_ponens,[status(thm)],[14468, 14467])).
% 21.30/21.62 tff(14470,plain,
% 21.30/21.62 (~node12(s178)),
% 21.30/21.62 inference(unit_resolution,[status(thm)],[14469, 350, 14466])).
% 21.30/21.63 tff(14471,plain,
% 21.30/21.63 (((~![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))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14472,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14473,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178)),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 21.30/21.63 tff(14474,plain,
% 21.30/21.63 (node14(s177, s178)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14473, 130, 14450])).
% 21.30/21.63 tff(14475,plain,
% 21.30/21.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14476,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14477,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2)),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 21.30/21.63 tff(14478,plain,
% 21.30/21.63 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state2(s178, c_t2)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14477, 893, 14474])).
% 21.30/21.63 tff(14479,plain,
% 21.30/21.63 (m_main_v_state2(s178, c_t2)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14478, 14399, 14435])).
% 21.30/21.63 tff(14480,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14481,plain,
% 21.30/21.63 ((~![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)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14482,plain,
% 21.30/21.63 ((~![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))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 21.30/21.63 tff(14483,plain,
% 21.30/21.63 (~m_main_v_state2(s178, c_n2)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14482, 10, 14479])).
% 21.30/21.63 tff(14484,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14485,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14486,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 21.30/21.63 tff(14487,plain,
% 21.30/21.63 (~node8(s178)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14486, 383, 14483])).
% 21.30/21.63 tff(14488,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14489,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14490,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 21.30/21.63 tff(14491,plain,
% 21.30/21.63 (~node9(s178)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14490, 311, 14483])).
% 21.30/21.63 tff(14492,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14493,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14494,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 21.30/21.63 tff(14495,plain,
% 21.30/21.63 (~node10(s178)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14494, 372, 14483])).
% 21.30/21.63 tff(14496,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14497,plain,
% 21.30/21.63 ((~![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)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14498,plain,
% 21.30/21.63 ((~![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))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 21.30/21.63 tff(14499,plain,
% 21.30/21.63 (~m_main_v_state2(s178, c_c2)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14498, 173, 14479])).
% 21.30/21.63 tff(14500,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14501,plain,
% 21.30/21.63 ((~![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)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14502,plain,
% 21.30/21.63 ((~![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))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14501, 14500])).
% 21.30/21.63 tff(14503,plain,
% 21.30/21.63 (~m_main_v_state2(s177, c_c2)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14502, 716, 14435])).
% 21.30/21.63 tff(14504,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14505,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14506,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14505, 14504])).
% 21.30/21.63 tff(14507,plain,
% 21.30/21.63 (~node3(s177)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14506, 184, 14503])).
% 21.30/21.63 tff(14508,plain,
% 21.30/21.63 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14509,plain,
% 21.30/21.63 (((~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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14510,plain,
% 21.30/21.63 (((~![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))))),
% 21.30/21.63 inference(monotonicity,[status(thm)],[14509])).
% 21.30/21.63 tff(14511,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(transitivity,[status(thm)],[14510, 14508])).
% 21.30/21.63 tff(14512,plain,
% 21.30/21.63 ((~![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)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14513,plain,
% 21.30/21.63 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 21.30/21.63 tff(14514,plain,
% 21.30/21.63 (~m_main_v_state1(s177, c_n1)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14513, 936, 14307, 14392])).
% 21.30/21.63 tff(14515,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14516,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14517,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14516, 14515])).
% 21.30/21.63 tff(14518,plain,
% 21.30/21.63 (~node2(s177)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14517, 652, 14514])).
% 21.30/21.63 tff(14519,plain,
% 21.30/21.63 (((~![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)))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14520,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14521,plain,
% 21.30/21.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177))),
% 21.30/21.63 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 21.30/21.63 tff(14522,plain,
% 21.30/21.63 (~node1(s177)),
% 21.30/21.63 inference(unit_resolution,[status(thm)],[14521, 206, 14439])).
% 21.30/21.63 tff(14523,plain,
% 21.30/21.63 (((~![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))),
% 21.30/21.63 inference(rewrite,[status(thm)],[])).
% 21.30/21.63 tff(14524,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))),
% 21.30/21.63 inference(quant_inst,[status(thm)],[])).
% 21.30/21.63 tff(14525,plain,
% 21.30/21.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178)),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 21.30/21.64 tff(14526,plain,
% 21.30/21.64 (node7(s177, s178)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14525, 217, 14450])).
% 21.30/21.64 tff(14527,plain,
% 21.30/21.64 (((~![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(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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14528,plain,
% 21.30/21.64 (((~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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14529,plain,
% 21.30/21.64 (((~![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(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))))),
% 21.30/21.64 inference(monotonicity,[status(thm)],[14528])).
% 21.30/21.64 tff(14530,plain,
% 21.30/21.64 (((~![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(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)))),
% 21.30/21.64 inference(transitivity,[status(thm)],[14529, 14527])).
% 21.30/21.64 tff(14531,plain,
% 21.30/21.64 ((~![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(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))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14532,plain,
% 21.30/21.64 ((~![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(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))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14531, 14530])).
% 21.30/21.64 tff(14533,plain,
% 21.30/21.64 ((~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)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14532, 965, 14526])).
% 21.30/21.64 tff(14534,plain,
% 21.30/21.64 (m_main_v_state1(s178, c_c1)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14533, 14522, 14435, 14399, 14518, 14507])).
% 21.30/21.64 tff(14535,plain,
% 21.30/21.64 (((~![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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14536,plain,
% 21.30/21.64 ((~![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)))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14537,plain,
% 21.30/21.64 ((~![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))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 21.30/21.64 tff(14538,plain,
% 21.30/21.64 (~m_main_v_state1(s178, c_n1)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14537, 449, 14534])).
% 21.30/21.64 tff(14539,plain,
% 21.30/21.64 (((~![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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14540,plain,
% 21.30/21.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14541,plain,
% 21.30/21.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 21.30/21.64 tff(14542,plain,
% 21.30/21.64 (~node11(s178)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14541, 361, 14538])).
% 21.30/21.64 tff(14543,plain,
% 21.30/21.64 (succ(s178, s179) <=> succ(s178, s179)),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14544,axiom,(succ(s178, s179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound179')).
% 21.30/21.64 tff(14545,plain,
% 21.30/21.64 (succ(s178, s179)),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14544, 14543])).
% 21.30/21.64 tff(14546,plain,
% 21.30/21.64 (((~![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))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14547,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14548,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 21.30/21.64 tff(14549,plain,
% 21.30/21.64 (trans(s178, s179)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14548, 14545, 57])).
% 21.30/21.64 tff(14550,plain,
% 21.30/21.64 (((~![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))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14551,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14552,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179)),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14551, 14550])).
% 21.30/21.64 tff(14553,plain,
% 21.30/21.64 (node14(s178, s179)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14552, 130, 14549])).
% 21.30/21.64 tff(14554,plain,
% 21.30/21.64 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14555,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14556,plain,
% 21.30/21.64 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14555, 14554])).
% 21.30/21.64 tff(14557,plain,
% 21.30/21.64 (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14556, 401, 14553])).
% 21.30/21.64 tff(14558,plain,
% 21.30/21.64 (node13(s178, s179)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14557, 14542, 14499, 14495, 14491, 14487, 14470])).
% 21.30/21.64 tff(14559,plain,
% 21.30/21.64 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14560,plain,
% 21.30/21.64 (((~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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14561,plain,
% 21.30/21.64 (((~![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))))),
% 21.30/21.64 inference(monotonicity,[status(thm)],[14560])).
% 21.30/21.64 tff(14562,plain,
% 21.30/21.64 (((~![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)))),
% 21.30/21.64 inference(transitivity,[status(thm)],[14561, 14559])).
% 21.30/21.64 tff(14563,plain,
% 21.30/21.64 ((~![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)))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14564,plain,
% 21.30/21.64 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 21.30/21.64 tff(14565,plain,
% 21.30/21.64 (~m_main_v_state2(s179, c_n2)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14564, 416, 14483, 14558])).
% 21.30/21.64 tff(14566,plain,
% 21.30/21.64 (((~![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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.64 tff(14567,plain,
% 21.30/21.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 21.30/21.64 inference(quant_inst,[status(thm)],[])).
% 21.30/21.64 tff(14568,plain,
% 21.30/21.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179))),
% 21.30/21.64 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 21.30/21.64 tff(14569,plain,
% 21.30/21.64 (~node9(s179)),
% 21.30/21.64 inference(unit_resolution,[status(thm)],[14568, 311, 14565])).
% 21.30/21.64 tff(14570,plain,
% 21.30/21.64 (((~![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)))),
% 21.30/21.64 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14571,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14572,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14571, 14570])).
% 21.30/21.65 tff(14573,plain,
% 21.30/21.65 (~node10(s179)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14572, 372, 14565])).
% 21.30/21.65 tff(14574,plain,
% 21.30/21.65 (((~![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(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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14575,plain,
% 21.30/21.65 (((~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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14576,plain,
% 21.30/21.65 (((~![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))))),
% 21.30/21.65 inference(monotonicity,[status(thm)],[14575])).
% 21.30/21.65 tff(14577,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(transitivity,[status(thm)],[14576, 14574])).
% 21.30/21.65 tff(14578,plain,
% 21.30/21.65 ((~![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))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14579,plain,
% 21.30/21.65 ((~![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(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14578, 14577])).
% 21.30/21.65 tff(14580,plain,
% 21.30/21.65 (m_main_v_state2(s179, c_t2)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14579, 563, 14479, 14558])).
% 21.30/21.65 tff(14581,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14582,plain,
% 21.30/21.65 ((~![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)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14583,plain,
% 21.30/21.65 ((~![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))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14582, 14581])).
% 21.30/21.65 tff(14584,plain,
% 21.30/21.65 (~m_main_v_state1(s178, c_t1)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14583, 289, 14534])).
% 21.30/21.65 tff(14585,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14586,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14587,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14586, 14585])).
% 21.30/21.65 tff(14588,plain,
% 21.30/21.65 (~node5(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14587, 300, 14584])).
% 21.30/21.65 tff(14589,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14590,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14591,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14590, 14589])).
% 21.30/21.65 tff(14592,plain,
% 21.30/21.65 (~node4(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14591, 162, 14483])).
% 21.30/21.65 tff(14593,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14594,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14595,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14594, 14593])).
% 21.30/21.65 tff(14596,plain,
% 21.30/21.65 (~node3(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14595, 184, 14499])).
% 21.30/21.65 tff(14597,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14598,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14599,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14598, 14597])).
% 21.30/21.65 tff(14600,plain,
% 21.30/21.65 (~node2(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14599, 195, 14483])).
% 21.30/21.65 tff(14601,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14602,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14603,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14602, 14601])).
% 21.30/21.65 tff(14604,plain,
% 21.30/21.65 (~node1(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14603, 249, 14538])).
% 21.30/21.65 tff(14605,plain,
% 21.30/21.65 (((~![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))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14606,plain,
% 21.30/21.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14607,plain,
% 21.30/21.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179)),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14606, 14605])).
% 21.30/21.65 tff(14608,plain,
% 21.30/21.65 (node7(s178, s179)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14607, 217, 14549])).
% 21.30/21.65 tff(14609,plain,
% 21.30/21.65 (((~![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(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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14610,plain,
% 21.30/21.65 (((~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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14611,plain,
% 21.30/21.65 (((~![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(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))))),
% 21.30/21.65 inference(monotonicity,[status(thm)],[14610])).
% 21.30/21.65 tff(14612,plain,
% 21.30/21.65 (((~![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(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)))),
% 21.30/21.65 inference(transitivity,[status(thm)],[14611, 14609])).
% 21.30/21.65 tff(14613,plain,
% 21.30/21.65 ((~![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(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14614,plain,
% 21.30/21.65 ((~![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(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14613, 14612])).
% 21.30/21.65 tff(14615,plain,
% 21.30/21.65 (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14614, 478, 14608])).
% 21.30/21.65 tff(14616,plain,
% 21.30/21.65 (m_main_v_state1(s179, c_n1)),
% 21.30/21.65 inference(unit_resolution,[status(thm)],[14615, 14604, 14534, 14600, 14596, 14592, 14588])).
% 21.30/21.65 tff(14617,plain,
% 21.30/21.65 (((~![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)))),
% 21.30/21.65 inference(rewrite,[status(thm)],[])).
% 21.30/21.65 tff(14618,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 21.30/21.65 inference(quant_inst,[status(thm)],[])).
% 21.30/21.65 tff(14619,plain,
% 21.30/21.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179))),
% 21.30/21.65 inference(modus_ponens,[status(thm)],[14618, 14617])).
% 21.30/21.66 tff(14620,plain,
% 21.30/21.66 (~node8(s179)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14619, 383, 14565])).
% 21.30/21.66 tff(14621,plain,
% 21.30/21.66 (succ(s179, s180) <=> succ(s179, s180)),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14622,axiom,(succ(s179, s180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound180')).
% 21.30/21.66 tff(14623,plain,
% 21.30/21.66 (succ(s179, s180)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 21.30/21.66 tff(14624,plain,
% 21.30/21.66 (((~![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))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14625,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14626,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 21.30/21.66 tff(14627,plain,
% 21.30/21.66 (trans(s179, s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14626, 14623, 57])).
% 21.30/21.66 tff(14628,plain,
% 21.30/21.66 (((~![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))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14629,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14630,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14629, 14628])).
% 21.30/21.66 tff(14631,plain,
% 21.30/21.66 (node14(s179, s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14630, 130, 14627])).
% 21.30/21.66 tff(14632,plain,
% 21.30/21.66 (((~![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(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))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14633,plain,
% 21.30/21.66 ((~![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(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))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14634,plain,
% 21.30/21.66 ((~![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(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)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 21.30/21.66 tff(14635,plain,
% 21.30/21.66 ((~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)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14634, 704, 14631])).
% 21.30/21.66 tff(14636,plain,
% 21.30/21.66 (m_main_v_state2(s180, c_c2)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14635, 14620, 14616, 14580, 14573, 14569])).
% 21.30/21.66 tff(14637,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14638,plain,
% 21.30/21.66 ((~![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)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14639,plain,
% 21.30/21.66 ((~![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))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 21.30/21.66 tff(14640,plain,
% 21.30/21.66 (~m_main_v_state2(s180, c_t2)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14639, 173, 14636])).
% 21.30/21.66 tff(14641,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14642,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14643,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 21.30/21.66 tff(14644,plain,
% 21.30/21.66 (~node12(s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14643, 778, 14640])).
% 21.30/21.66 tff(14645,plain,
% 21.30/21.66 (((~![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))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14646,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14647,plain,
% 21.30/21.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 21.30/21.66 tff(14648,plain,
% 21.30/21.66 (node7(s179, s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14647, 217, 14627])).
% 21.30/21.66 tff(14649,plain,
% 21.30/21.66 (((~![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(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))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14650,plain,
% 21.30/21.66 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14651,plain,
% 21.30/21.66 ((~![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(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1)),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14650, 14649])).
% 21.30/21.66 tff(14652,plain,
% 21.30/21.66 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_state1(s180, c_t1)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14651, 598, 14648])).
% 21.30/21.66 tff(14653,plain,
% 21.30/21.66 (m_main_v_state1(s180, c_t1)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14652, 14580, 14616])).
% 21.30/21.66 tff(14654,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14655,plain,
% 21.30/21.66 ((~![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)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14656,plain,
% 21.30/21.66 ((~![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))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 21.30/21.66 tff(14657,plain,
% 21.30/21.66 (~m_main_v_state1(s180, c_n1)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14656, 35, 14653])).
% 21.30/21.66 tff(14658,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14659,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14660,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 21.30/21.66 tff(14661,plain,
% 21.30/21.66 (~node11(s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14660, 361, 14657])).
% 21.30/21.66 tff(14662,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14663,plain,
% 21.30/21.66 ((~![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)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14664,plain,
% 21.30/21.66 ((~![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))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 21.30/21.66 tff(14665,plain,
% 21.30/21.66 (~m_main_v_state1(s180, c_c1)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14664, 289, 14653])).
% 21.30/21.66 tff(14666,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14667,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14668,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 21.30/21.66 tff(14669,plain,
% 21.30/21.66 (~node10(s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14668, 793, 14665])).
% 21.30/21.66 tff(14670,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14671,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.66 tff(14672,plain,
% 21.30/21.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180))),
% 21.30/21.66 inference(modus_ponens,[status(thm)],[14671, 14670])).
% 21.30/21.66 tff(14673,plain,
% 21.30/21.66 (~node9(s180)),
% 21.30/21.66 inference(unit_resolution,[status(thm)],[14672, 804, 14657])).
% 21.30/21.66 tff(14674,plain,
% 21.30/21.66 (((~![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)))),
% 21.30/21.66 inference(rewrite,[status(thm)],[])).
% 21.30/21.66 tff(14675,plain,
% 21.30/21.66 ((~![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)))),
% 21.30/21.66 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14676,plain,
% 21.30/21.67 ((~![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))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14675, 14674])).
% 21.30/21.67 tff(14677,plain,
% 21.30/21.67 (~m_main_v_state2(s180, c_n2)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14676, 716, 14636])).
% 21.30/21.67 tff(14678,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14679,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14680,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 21.30/21.67 tff(14681,plain,
% 21.30/21.67 (~node8(s180)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14680, 383, 14677])).
% 21.30/21.67 tff(14682,plain,
% 21.30/21.67 (succ(s180, s181) <=> succ(s180, s181)),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14683,axiom,(succ(s180, s181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound181')).
% 21.30/21.67 tff(14684,plain,
% 21.30/21.67 (succ(s180, s181)),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14683, 14682])).
% 21.30/21.67 tff(14685,plain,
% 21.30/21.67 (((~![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))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14686,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14687,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14686, 14685])).
% 21.30/21.67 tff(14688,plain,
% 21.30/21.67 (trans(s180, s181)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14687, 14684, 57])).
% 21.30/21.67 tff(14689,plain,
% 21.30/21.67 (((~![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))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14690,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14691,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181)),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14690, 14689])).
% 21.30/21.67 tff(14692,plain,
% 21.30/21.67 (node14(s180, s181)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14691, 130, 14688])).
% 21.30/21.67 tff(14693,plain,
% 21.30/21.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14694,plain,
% 21.30/21.67 (((~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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14695,plain,
% 21.30/21.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 21.30/21.67 inference(monotonicity,[status(thm)],[14694])).
% 21.30/21.67 tff(14696,plain,
% 21.30/21.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 21.30/21.67 inference(transitivity,[status(thm)],[14695, 14693])).
% 21.30/21.67 tff(14697,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14698,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 21.30/21.67 tff(14699,plain,
% 21.30/21.67 (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~m_main_v_state2(s180, c_c2))),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14698, 826, 14692])).
% 21.30/21.67 tff(14700,plain,
% 21.30/21.67 (m_main_v_state2(s181, c_n2)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14699, 14681, 14636, 14673, 14669, 14661, 14644])).
% 21.30/21.67 tff(14701,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14702,plain,
% 21.30/21.67 ((~![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)))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14703,plain,
% 21.30/21.67 ((~![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))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 21.30/21.67 tff(14704,plain,
% 21.30/21.67 (~m_main_v_state2(s181, c_c2)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14703, 716, 14700])).
% 21.30/21.67 tff(14705,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14706,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14707,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 21.30/21.67 tff(14708,plain,
% 21.30/21.67 (~node3(s181)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14707, 184, 14704])).
% 21.30/21.67 tff(14709,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14710,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14711,plain,
% 21.30/21.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 21.30/21.67 tff(14712,plain,
% 21.30/21.67 (~node1(s180)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14711, 249, 14657])).
% 21.30/21.67 tff(14713,plain,
% 21.30/21.67 (((~![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))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14714,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14715,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180)),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14714, 14713])).
% 21.30/21.67 tff(14716,plain,
% 21.30/21.67 (node18(s179, s180)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14715, 71, 14627])).
% 21.30/21.67 tff(14717,plain,
% 21.30/21.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14718,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14719,plain,
% 21.30/21.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2)),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14718, 14717])).
% 21.30/21.67 tff(14720,plain,
% 21.30/21.67 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_turn(s180, c_2)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14719, 625, 14716])).
% 21.30/21.67 tff(14721,plain,
% 21.30/21.67 (m_main_v_turn(s180, c_2)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14720, 14580, 14616])).
% 21.30/21.67 tff(14722,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.67 tff(14723,plain,
% 21.30/21.67 ((~![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)))),
% 21.30/21.67 inference(quant_inst,[status(thm)],[])).
% 21.30/21.67 tff(14724,plain,
% 21.30/21.67 ((~![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))),
% 21.30/21.67 inference(modus_ponens,[status(thm)],[14723, 14722])).
% 21.30/21.67 tff(14725,plain,
% 21.30/21.67 (~m_main_v_turn(s180, c_1)),
% 21.30/21.67 inference(unit_resolution,[status(thm)],[14724, 322, 14721])).
% 21.30/21.67 tff(14726,plain,
% 21.30/21.67 (((~![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)))),
% 21.30/21.67 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14727,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14728,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 21.30/21.68 tff(14729,plain,
% 21.30/21.68 (~node5(s180)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14728, 641, 14725])).
% 21.30/21.68 tff(14730,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14731,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14732,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 21.30/21.68 tff(14733,plain,
% 21.30/21.68 (~node2(s180)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14732, 652, 14657])).
% 21.30/21.68 tff(14734,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14735,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14736,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 21.30/21.68 tff(14737,plain,
% 21.30/21.68 (~node3(s180)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14736, 663, 14657])).
% 21.30/21.68 tff(14738,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14739,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14740,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14739, 14738])).
% 21.30/21.68 tff(14741,plain,
% 21.30/21.68 (~node4(s180)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14740, 162, 14677])).
% 21.30/21.68 tff(14742,plain,
% 21.30/21.68 (((~![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))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14743,plain,
% 21.30/21.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14744,plain,
% 21.30/21.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181)),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14743, 14742])).
% 21.30/21.68 tff(14745,plain,
% 21.30/21.68 (node7(s180, s181)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14744, 217, 14688])).
% 21.30/21.68 tff(14746,plain,
% 21.30/21.68 (((~![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(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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14747,plain,
% 21.30/21.68 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14748,plain,
% 21.30/21.68 ((~![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(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 21.30/21.68 tff(14749,plain,
% 21.30/21.68 (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14748, 745, 14745])).
% 21.30/21.68 tff(14750,plain,
% 21.30/21.68 (node6(s180, s181)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14749, 14741, 14665, 14737, 14733, 14729, 14712])).
% 21.30/21.68 tff(14751,plain,
% 21.30/21.68 (((~![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(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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14752,plain,
% 21.30/21.68 (((~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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14753,plain,
% 21.30/21.68 (((~![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))))),
% 21.30/21.68 inference(monotonicity,[status(thm)],[14752])).
% 21.30/21.68 tff(14754,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(transitivity,[status(thm)],[14753, 14751])).
% 21.30/21.68 tff(14755,plain,
% 21.30/21.68 ((~![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)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14756,plain,
% 21.30/21.68 ((~![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(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 21.30/21.68 tff(14757,plain,
% 21.30/21.68 (~m_main_v_state1(s181, c_n1)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14756, 936, 14657, 14750])).
% 21.30/21.68 tff(14758,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14759,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14760,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 21.30/21.68 tff(14761,plain,
% 21.30/21.68 (~node2(s181)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14760, 652, 14757])).
% 21.30/21.68 tff(14762,plain,
% 21.30/21.68 (((~![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(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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14763,plain,
% 21.30/21.68 (((~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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14764,plain,
% 21.30/21.68 (((~![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))))),
% 21.30/21.68 inference(monotonicity,[status(thm)],[14763])).
% 21.30/21.68 tff(14765,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(transitivity,[status(thm)],[14764, 14762])).
% 21.30/21.68 tff(14766,plain,
% 21.30/21.68 ((~![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))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14767,plain,
% 21.30/21.68 ((~![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(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14766, 14765])).
% 21.30/21.68 tff(14768,plain,
% 21.30/21.68 (m_main_v_state1(s181, c_t1)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14767, 760, 14653, 14750])).
% 21.30/21.68 tff(14769,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14770,plain,
% 21.30/21.68 ((~![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)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14771,plain,
% 21.30/21.68 ((~![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))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14770, 14769])).
% 21.30/21.68 tff(14772,plain,
% 21.30/21.68 (~m_main_v_state2(s181, c_t2)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14771, 10, 14700])).
% 21.30/21.68 tff(14773,plain,
% 21.30/21.68 (((~![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)))),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14774,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 21.30/21.68 inference(quant_inst,[status(thm)],[])).
% 21.30/21.68 tff(14775,plain,
% 21.30/21.68 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181))),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14774, 14773])).
% 21.30/21.68 tff(14776,plain,
% 21.30/21.68 (~node1(s181)),
% 21.30/21.68 inference(unit_resolution,[status(thm)],[14775, 206, 14772])).
% 21.30/21.68 tff(14777,plain,
% 21.30/21.68 (succ(s181, s182) <=> succ(s181, s182)),
% 21.30/21.68 inference(rewrite,[status(thm)],[])).
% 21.30/21.68 tff(14778,axiom,(succ(s181, s182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound182')).
% 21.30/21.68 tff(14779,plain,
% 21.30/21.68 (succ(s181, s182)),
% 21.30/21.68 inference(modus_ponens,[status(thm)],[14778, 14777])).
% 21.30/21.68 tff(14780,plain,
% 21.30/21.68 (((~![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))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14781,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14782,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14781, 14780])).
% 21.30/21.69 tff(14783,plain,
% 21.30/21.69 (trans(s181, s182)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14782, 14779, 57])).
% 21.30/21.69 tff(14784,plain,
% 21.30/21.69 (((~![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))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14785,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14786,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182)),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14785, 14784])).
% 21.30/21.69 tff(14787,plain,
% 21.30/21.69 (node7(s181, s182)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14786, 217, 14783])).
% 21.30/21.69 tff(14788,plain,
% 21.30/21.69 (((~![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(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)))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14789,plain,
% 21.30/21.69 (((~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)))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14790,plain,
% 21.30/21.69 (((~![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(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))))),
% 21.30/21.69 inference(monotonicity,[status(thm)],[14789])).
% 21.30/21.69 tff(14791,plain,
% 21.30/21.69 (((~![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(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)))),
% 21.30/21.69 inference(transitivity,[status(thm)],[14790, 14788])).
% 21.30/21.69 tff(14792,plain,
% 21.30/21.69 ((~![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(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))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14793,plain,
% 21.30/21.69 ((~![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(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))),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 21.30/21.69 tff(14794,plain,
% 21.30/21.69 ((~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)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14793, 965, 14787])).
% 21.30/21.69 tff(14795,plain,
% 21.30/21.69 (m_main_v_state1(s182, c_c1)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14794, 14776, 14700, 14768, 14761, 14708])).
% 21.30/21.69 tff(14796,plain,
% 21.30/21.69 (((~![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)))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14797,plain,
% 21.30/21.69 ((~![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)))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14798,plain,
% 21.30/21.69 ((~![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))),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 21.30/21.69 tff(14799,plain,
% 21.30/21.69 (~m_main_v_state1(s182, c_t1)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14798, 289, 14795])).
% 21.30/21.69 tff(14800,plain,
% 21.30/21.69 (((~![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)))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14801,plain,
% 21.30/21.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14802,plain,
% 21.30/21.69 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182))),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 21.30/21.69 tff(14803,plain,
% 21.30/21.69 (~node5(s182)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14802, 300, 14799])).
% 21.30/21.69 tff(14804,plain,
% 21.30/21.69 (((~![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))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14805,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))),
% 21.30/21.69 inference(quant_inst,[status(thm)],[])).
% 21.30/21.69 tff(14806,plain,
% 21.30/21.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182)),
% 21.30/21.69 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 21.30/21.69 tff(14807,plain,
% 21.30/21.69 (node14(s181, s182)),
% 21.30/21.69 inference(unit_resolution,[status(thm)],[14806, 130, 14783])).
% 21.30/21.69 tff(14808,plain,
% 21.30/21.69 (((~![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(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))),
% 21.30/21.69 inference(rewrite,[status(thm)],[])).
% 21.30/21.69 tff(14809,plain,
% 21.30/21.69 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14810,plain,
% 21.39/21.69 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2)),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14809, 14808])).
% 21.39/21.69 tff(14811,plain,
% 21.39/21.69 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state2(s182, c_t2)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14810, 893, 14807])).
% 21.39/21.69 tff(14812,plain,
% 21.39/21.69 (m_main_v_state2(s182, c_t2)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14811, 14768, 14700])).
% 21.39/21.69 tff(14813,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14814,plain,
% 21.39/21.69 ((~![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)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14815,plain,
% 21.39/21.69 ((~![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))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 21.39/21.69 tff(14816,plain,
% 21.39/21.69 (~m_main_v_state2(s182, c_n2)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14815, 10, 14812])).
% 21.39/21.69 tff(14817,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14818,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14819,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 21.39/21.69 tff(14820,plain,
% 21.39/21.69 (~node4(s182)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14819, 162, 14816])).
% 21.39/21.69 tff(14821,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14822,plain,
% 21.39/21.69 ((~![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)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14823,plain,
% 21.39/21.69 ((~![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))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 21.39/21.69 tff(14824,plain,
% 21.39/21.69 (~m_main_v_state2(s182, c_c2)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14823, 173, 14812])).
% 21.39/21.69 tff(14825,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14826,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14827,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 21.39/21.69 tff(14828,plain,
% 21.39/21.69 (~node3(s182)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14827, 184, 14824])).
% 21.39/21.69 tff(14829,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14830,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14831,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 21.39/21.69 tff(14832,plain,
% 21.39/21.69 (~node2(s182)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14831, 195, 14816])).
% 21.39/21.69 tff(14833,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14834,plain,
% 21.39/21.69 ((~![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)))),
% 21.39/21.69 inference(quant_inst,[status(thm)],[])).
% 21.39/21.69 tff(14835,plain,
% 21.39/21.69 ((~![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))),
% 21.39/21.69 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 21.39/21.69 tff(14836,plain,
% 21.39/21.69 (~m_main_v_state1(s182, c_n1)),
% 21.39/21.69 inference(unit_resolution,[status(thm)],[14835, 449, 14795])).
% 21.39/21.69 tff(14837,plain,
% 21.39/21.69 (((~![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)))),
% 21.39/21.69 inference(rewrite,[status(thm)],[])).
% 21.39/21.69 tff(14838,plain,
% 21.39/21.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14839,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 21.39/21.70 tff(14840,plain,
% 21.39/21.70 (~node1(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14839, 249, 14836])).
% 21.39/21.70 tff(14841,plain,
% 21.39/21.70 (succ(s182, s183) <=> succ(s182, s183)),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14842,axiom,(succ(s182, s183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound183')).
% 21.39/21.70 tff(14843,plain,
% 21.39/21.70 (succ(s182, s183)),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 21.39/21.70 tff(14844,plain,
% 21.39/21.70 (((~![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))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14845,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14846,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14845, 14844])).
% 21.39/21.70 tff(14847,plain,
% 21.39/21.70 (trans(s182, s183)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14846, 14843, 57])).
% 21.39/21.70 tff(14848,plain,
% 21.39/21.70 (((~![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))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14849,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14850,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183)),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 21.39/21.70 tff(14851,plain,
% 21.39/21.70 (node7(s182, s183)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14850, 217, 14847])).
% 21.39/21.70 tff(14852,plain,
% 21.39/21.70 (((~![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(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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14853,plain,
% 21.39/21.70 (((~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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14854,plain,
% 21.39/21.70 (((~![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(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))))),
% 21.39/21.70 inference(monotonicity,[status(thm)],[14853])).
% 21.39/21.70 tff(14855,plain,
% 21.39/21.70 (((~![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(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)))),
% 21.39/21.70 inference(transitivity,[status(thm)],[14854, 14852])).
% 21.39/21.70 tff(14856,plain,
% 21.39/21.70 ((~![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(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14857,plain,
% 21.39/21.70 ((~![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(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14856, 14855])).
% 21.39/21.70 tff(14858,plain,
% 21.39/21.70 (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14857, 478, 14851])).
% 21.39/21.70 tff(14859,plain,
% 21.39/21.70 (m_main_v_state1(s183, c_n1)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14858, 14840, 14795, 14832, 14828, 14820, 14803])).
% 21.39/21.70 tff(14860,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14861,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14862,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 21.39/21.70 tff(14863,plain,
% 21.39/21.70 (~node15(s181)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14862, 21, 14772])).
% 21.39/21.70 tff(14864,plain,
% 21.39/21.70 (((~![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))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14865,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14866,plain,
% 21.39/21.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182)),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 21.39/21.70 tff(14867,plain,
% 21.39/21.70 (node18(s181, s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14866, 71, 14783])).
% 21.39/21.70 tff(14868,plain,
% 21.39/21.70 (((~![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(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))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14869,plain,
% 21.39/21.70 (((~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))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14870,plain,
% 21.39/21.70 (((~![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(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)))),
% 21.39/21.70 inference(monotonicity,[status(thm)],[14869])).
% 21.39/21.70 tff(14871,plain,
% 21.39/21.70 (((~![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(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))),
% 21.39/21.70 inference(transitivity,[status(thm)],[14870, 14868])).
% 21.39/21.70 tff(14872,plain,
% 21.39/21.70 ((~![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(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14873,plain,
% 21.39/21.70 ((~![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(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)),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14872, 14871])).
% 21.39/21.70 tff(14874,plain,
% 21.39/21.70 (node15(s181) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14873, 863, 14867])).
% 21.39/21.70 tff(14875,plain,
% 21.39/21.70 (m_main_v_turn(s182, c_1)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14874, 14863, 14700, 14768])).
% 21.39/21.70 tff(14876,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14877,plain,
% 21.39/21.70 ((~![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)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14878,plain,
% 21.39/21.70 ((~![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))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 21.39/21.70 tff(14879,plain,
% 21.39/21.70 (~m_main_v_turn(s182, c_2)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14878, 322, 14875])).
% 21.39/21.70 tff(14880,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14881,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14882,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14881, 14880])).
% 21.39/21.70 tff(14883,plain,
% 21.39/21.70 (~node12(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14882, 350, 14879])).
% 21.39/21.70 tff(14884,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14885,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14886,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 21.39/21.70 tff(14887,plain,
% 21.39/21.70 (~node8(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14886, 383, 14816])).
% 21.39/21.70 tff(14888,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14889,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14890,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14889, 14888])).
% 21.39/21.70 tff(14891,plain,
% 21.39/21.70 (~node9(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14890, 311, 14816])).
% 21.39/21.70 tff(14892,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.70 inference(rewrite,[status(thm)],[])).
% 21.39/21.70 tff(14893,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 21.39/21.70 inference(quant_inst,[status(thm)],[])).
% 21.39/21.70 tff(14894,plain,
% 21.39/21.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182))),
% 21.39/21.70 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 21.39/21.70 tff(14895,plain,
% 21.39/21.70 (~node10(s182)),
% 21.39/21.70 inference(unit_resolution,[status(thm)],[14894, 372, 14816])).
% 21.39/21.70 tff(14896,plain,
% 21.39/21.70 (((~![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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14897,plain,
% 21.39/21.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14898,plain,
% 21.39/21.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182))),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14897, 14896])).
% 21.39/21.71 tff(14899,plain,
% 21.39/21.71 (~node11(s182)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14898, 361, 14836])).
% 21.39/21.71 tff(14900,plain,
% 21.39/21.71 (((~![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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14901,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14902,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 21.39/21.71 tff(14903,plain,
% 21.39/21.71 (node14(s182, s183)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14902, 130, 14847])).
% 21.39/21.71 tff(14904,plain,
% 21.39/21.71 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14905,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14906,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183))),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 21.39/21.71 tff(14907,plain,
% 21.39/21.71 (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14906, 401, 14903])).
% 21.39/21.71 tff(14908,plain,
% 21.39/21.71 (node13(s182, s183)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14907, 14899, 14824, 14895, 14891, 14887, 14883])).
% 21.39/21.71 tff(14909,plain,
% 21.39/21.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14910,plain,
% 21.39/21.71 (((~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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14911,plain,
% 21.39/21.71 (((~![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))))),
% 21.39/21.71 inference(monotonicity,[status(thm)],[14910])).
% 21.39/21.71 tff(14912,plain,
% 21.39/21.71 (((~![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)))),
% 21.39/21.71 inference(transitivity,[status(thm)],[14911, 14909])).
% 21.39/21.71 tff(14913,plain,
% 21.39/21.71 ((~![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))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14914,plain,
% 21.39/21.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14913, 14912])).
% 21.39/21.71 tff(14915,plain,
% 21.39/21.71 (m_main_v_state2(s183, c_t2)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14914, 563, 14812, 14908])).
% 21.39/21.71 tff(14916,plain,
% 21.39/21.71 (succ(s183, s184) <=> succ(s183, s184)),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14917,axiom,(succ(s183, s184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound184')).
% 21.39/21.71 tff(14918,plain,
% 21.39/21.71 (succ(s183, s184)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 21.39/21.71 tff(14919,plain,
% 21.39/21.71 (((~![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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14920,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14921,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 21.39/21.71 tff(14922,plain,
% 21.39/21.71 (trans(s183, s184)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14921, 14918, 57])).
% 21.39/21.71 tff(14923,plain,
% 21.39/21.71 (((~![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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14924,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14925,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 21.39/21.71 tff(14926,plain,
% 21.39/21.71 (node7(s183, s184)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14925, 217, 14922])).
% 21.39/21.71 tff(14927,plain,
% 21.39/21.71 (((~![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(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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14928,plain,
% 21.39/21.71 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14929,plain,
% 21.39/21.71 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14928, 14927])).
% 21.39/21.71 tff(14930,plain,
% 21.39/21.71 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_state1(s184, c_t1)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14929, 598, 14926])).
% 21.39/21.71 tff(14931,plain,
% 21.39/21.71 (m_main_v_state1(s184, c_t1)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14930, 14915, 14859])).
% 21.39/21.71 tff(14932,plain,
% 21.39/21.71 (((~![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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14933,plain,
% 21.39/21.71 ((~![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)))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14934,plain,
% 21.39/21.71 ((~![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))),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 21.39/21.71 tff(14935,plain,
% 21.39/21.71 (~m_main_v_state1(s184, c_n1)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14934, 35, 14931])).
% 21.39/21.71 tff(14936,plain,
% 21.39/21.71 (((~![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)))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14937,plain,
% 21.39/21.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14938,plain,
% 21.39/21.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184))),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 21.39/21.71 tff(14939,plain,
% 21.39/21.71 (~node1(s184)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14938, 249, 14935])).
% 21.39/21.71 tff(14940,plain,
% 21.39/21.71 (((~![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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14941,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14942,plain,
% 21.39/21.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14941, 14940])).
% 21.39/21.71 tff(14943,plain,
% 21.39/21.71 (node18(s183, s184)),
% 21.39/21.71 inference(unit_resolution,[status(thm)],[14942, 71, 14922])).
% 21.39/21.71 tff(14944,plain,
% 21.39/21.71 (((~![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(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))),
% 21.39/21.71 inference(rewrite,[status(thm)],[])).
% 21.39/21.71 tff(14945,plain,
% 21.39/21.71 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 21.39/21.71 inference(quant_inst,[status(thm)],[])).
% 21.39/21.71 tff(14946,plain,
% 21.39/21.71 ((~![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(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2)),
% 21.39/21.71 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 21.39/21.71 tff(14947,plain,
% 21.39/21.71 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_turn(s184, c_2)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14946, 625, 14943])).
% 21.39/21.72 tff(14948,plain,
% 21.39/21.72 (m_main_v_turn(s184, c_2)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14947, 14915, 14859])).
% 21.39/21.72 tff(14949,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14950,plain,
% 21.39/21.72 ((~![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)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14951,plain,
% 21.39/21.72 ((~![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))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 21.39/21.72 tff(14952,plain,
% 21.39/21.72 (~m_main_v_turn(s184, c_1)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14951, 322, 14948])).
% 21.39/21.72 tff(14953,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14954,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14955,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 21.39/21.72 tff(14956,plain,
% 21.39/21.72 (~node5(s184)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14955, 641, 14952])).
% 21.39/21.72 tff(14957,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14958,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14959,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 21.39/21.72 tff(14960,plain,
% 21.39/21.72 (~node2(s184)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14959, 652, 14935])).
% 21.39/21.72 tff(14961,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14962,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14963,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 21.39/21.72 tff(14964,plain,
% 21.39/21.72 (~node3(s184)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14963, 663, 14935])).
% 21.39/21.72 tff(14965,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14966,plain,
% 21.39/21.72 ((~![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)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14967,plain,
% 21.39/21.72 ((~![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))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 21.39/21.72 tff(14968,plain,
% 21.39/21.72 (~m_main_v_state1(s184, c_c1)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14967, 289, 14931])).
% 21.39/21.72 tff(14969,plain,
% 21.39/21.72 (((~![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(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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14970,plain,
% 21.39/21.72 (((~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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14971,plain,
% 21.39/21.72 (((~![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))))),
% 21.39/21.72 inference(monotonicity,[status(thm)],[14970])).
% 21.39/21.72 tff(14972,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(transitivity,[status(thm)],[14971, 14969])).
% 21.39/21.72 tff(14973,plain,
% 21.39/21.72 ((~![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)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14974,plain,
% 21.39/21.72 ((~![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(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 21.39/21.72 tff(14975,plain,
% 21.39/21.72 (~m_main_v_state2(s183, c_n2)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14974, 416, 14816, 14908])).
% 21.39/21.72 tff(14976,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14977,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14978,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 21.39/21.72 tff(14979,plain,
% 21.39/21.72 (~node9(s183)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14978, 311, 14975])).
% 21.39/21.72 tff(14980,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14981,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14982,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 21.39/21.72 tff(14983,plain,
% 21.39/21.72 (~node10(s183)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14982, 372, 14975])).
% 21.39/21.72 tff(14984,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14985,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14986,plain,
% 21.39/21.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 21.39/21.72 tff(14987,plain,
% 21.39/21.72 (~node8(s183)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14986, 383, 14975])).
% 21.39/21.72 tff(14988,plain,
% 21.39/21.72 (((~![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))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14989,plain,
% 21.39/21.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14990,plain,
% 21.39/21.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184)),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 21.39/21.72 tff(14991,plain,
% 21.39/21.72 (node14(s183, s184)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14990, 130, 14922])).
% 21.39/21.72 tff(14992,plain,
% 21.39/21.72 (((~![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(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))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14993,plain,
% 21.39/21.72 ((~![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(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))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14994,plain,
% 21.39/21.72 ((~![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(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)),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14993, 14992])).
% 21.39/21.72 tff(14995,plain,
% 21.39/21.72 ((~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)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14994, 704, 14991])).
% 21.39/21.72 tff(14996,plain,
% 21.39/21.72 (m_main_v_state2(s184, c_c2)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14995, 14987, 14859, 14915, 14983, 14979])).
% 21.39/21.72 tff(14997,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.72 inference(rewrite,[status(thm)],[])).
% 21.39/21.72 tff(14998,plain,
% 21.39/21.72 ((~![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)))),
% 21.39/21.72 inference(quant_inst,[status(thm)],[])).
% 21.39/21.72 tff(14999,plain,
% 21.39/21.72 ((~![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))),
% 21.39/21.72 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 21.39/21.72 tff(15000,plain,
% 21.39/21.72 (~m_main_v_state2(s184, c_n2)),
% 21.39/21.72 inference(unit_resolution,[status(thm)],[14999, 716, 14996])).
% 21.39/21.72 tff(15001,plain,
% 21.39/21.72 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15002,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15003,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15002, 15001])).
% 21.39/21.73 tff(15004,plain,
% 21.39/21.73 (~node4(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15003, 162, 15000])).
% 21.39/21.73 tff(15005,plain,
% 21.39/21.73 (succ(s184, s185) <=> succ(s184, s185)),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15006,axiom,(succ(s184, s185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound185')).
% 21.39/21.73 tff(15007,plain,
% 21.39/21.73 (succ(s184, s185)),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 21.39/21.73 tff(15008,plain,
% 21.39/21.73 (((~![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))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15009,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15010,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 21.39/21.73 tff(15011,plain,
% 21.39/21.73 (trans(s184, s185)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15010, 15007, 57])).
% 21.39/21.73 tff(15012,plain,
% 21.39/21.73 (((~![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))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15013,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15014,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185)),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 21.39/21.73 tff(15015,plain,
% 21.39/21.73 (node7(s184, s185)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15014, 217, 15011])).
% 21.39/21.73 tff(15016,plain,
% 21.39/21.73 (((~![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(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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15017,plain,
% 21.39/21.73 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15018,plain,
% 21.39/21.73 ((~![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(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 21.39/21.73 tff(15019,plain,
% 21.39/21.73 (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15018, 745, 15015])).
% 21.39/21.73 tff(15020,plain,
% 21.39/21.73 (node6(s184, s185)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15019, 15004, 14968, 14964, 14960, 14956, 14939])).
% 21.39/21.73 tff(15021,plain,
% 21.39/21.73 (((~![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(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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15022,plain,
% 21.39/21.73 (((~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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15023,plain,
% 21.39/21.73 (((~![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))))),
% 21.39/21.73 inference(monotonicity,[status(thm)],[15022])).
% 21.39/21.73 tff(15024,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(transitivity,[status(thm)],[15023, 15021])).
% 21.39/21.73 tff(15025,plain,
% 21.39/21.73 ((~![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))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15026,plain,
% 21.39/21.73 ((~![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(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 21.39/21.73 tff(15027,plain,
% 21.39/21.73 (m_main_v_state1(s185, c_t1)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15026, 760, 14931, 15020])).
% 21.39/21.73 tff(15028,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15029,plain,
% 21.39/21.73 ((~![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)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15030,plain,
% 21.39/21.73 ((~![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))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 21.39/21.73 tff(15031,plain,
% 21.39/21.73 (~m_main_v_state2(s184, c_t2)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15030, 173, 14996])).
% 21.39/21.73 tff(15032,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15033,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15034,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 21.39/21.73 tff(15035,plain,
% 21.39/21.73 (~node12(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15034, 778, 15031])).
% 21.39/21.73 tff(15036,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15037,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15038,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 21.39/21.73 tff(15039,plain,
% 21.39/21.73 (~node11(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15038, 361, 14935])).
% 21.39/21.73 tff(15040,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15041,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15042,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 21.39/21.73 tff(15043,plain,
% 21.39/21.73 (~node10(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15042, 793, 14968])).
% 21.39/21.73 tff(15044,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15045,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15046,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 21.39/21.73 tff(15047,plain,
% 21.39/21.73 (~node9(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15046, 804, 14935])).
% 21.39/21.73 tff(15048,plain,
% 21.39/21.73 (((~![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)))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15049,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15050,plain,
% 21.39/21.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184))),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 21.39/21.73 tff(15051,plain,
% 21.39/21.73 (~node8(s184)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15050, 383, 15000])).
% 21.39/21.73 tff(15052,plain,
% 21.39/21.73 (((~![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))),
% 21.39/21.73 inference(rewrite,[status(thm)],[])).
% 21.39/21.73 tff(15053,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))),
% 21.39/21.73 inference(quant_inst,[status(thm)],[])).
% 21.39/21.73 tff(15054,plain,
% 21.39/21.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185)),
% 21.39/21.73 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 21.39/21.73 tff(15055,plain,
% 21.39/21.73 (node14(s184, s185)),
% 21.39/21.73 inference(unit_resolution,[status(thm)],[15054, 130, 15011])).
% 21.39/21.73 tff(15056,plain,
% 21.39/21.73 (((~![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(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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15057,plain,
% 21.39/21.74 (((~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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15058,plain,
% 21.39/21.74 (((~![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(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))))),
% 21.39/21.74 inference(monotonicity,[status(thm)],[15057])).
% 21.39/21.74 tff(15059,plain,
% 21.39/21.74 (((~![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(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)))),
% 21.39/21.74 inference(transitivity,[status(thm)],[15058, 15056])).
% 21.39/21.74 tff(15060,plain,
% 21.39/21.74 ((~![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(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15061,plain,
% 21.39/21.74 ((~![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(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 21.39/21.74 tff(15062,plain,
% 21.39/21.74 (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~m_main_v_state2(s184, c_c2))),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15061, 826, 15055])).
% 21.39/21.74 tff(15063,plain,
% 21.39/21.74 (m_main_v_state2(s185, c_n2)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15062, 15051, 14996, 15047, 15043, 15039, 15035])).
% 21.39/21.74 tff(15064,plain,
% 21.39/21.74 (((~![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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15065,plain,
% 21.39/21.74 ((~![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)))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15066,plain,
% 21.39/21.74 ((~![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))),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 21.39/21.74 tff(15067,plain,
% 21.39/21.74 (~m_main_v_state2(s185, c_t2)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15066, 10, 15063])).
% 21.39/21.74 tff(15068,plain,
% 21.39/21.74 (((~![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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15069,plain,
% 21.39/21.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15070,plain,
% 21.39/21.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185))),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 21.39/21.74 tff(15071,plain,
% 21.39/21.74 (~node15(s185)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15070, 21, 15067])).
% 21.39/21.74 tff(15072,plain,
% 21.39/21.74 (succ(s185, s186) <=> succ(s185, s186)),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15073,axiom,(succ(s185, s186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound186')).
% 21.39/21.74 tff(15074,plain,
% 21.39/21.74 (succ(s185, s186)),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15073, 15072])).
% 21.39/21.74 tff(15075,plain,
% 21.39/21.74 (((~![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))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15076,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15077,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 21.39/21.74 tff(15078,plain,
% 21.39/21.74 (trans(s185, s186)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15077, 15074, 57])).
% 21.39/21.74 tff(15079,plain,
% 21.39/21.74 (((~![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))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15080,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15081,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186)),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 21.39/21.74 tff(15082,plain,
% 21.39/21.74 (node18(s185, s186)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15081, 71, 15078])).
% 21.39/21.74 tff(15083,plain,
% 21.39/21.74 (((~![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(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))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15084,plain,
% 21.39/21.74 (((~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))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15085,plain,
% 21.39/21.74 (((~![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(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)))),
% 21.39/21.74 inference(monotonicity,[status(thm)],[15084])).
% 21.39/21.74 tff(15086,plain,
% 21.39/21.74 (((~![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(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))),
% 21.39/21.74 inference(transitivity,[status(thm)],[15085, 15083])).
% 21.39/21.74 tff(15087,plain,
% 21.39/21.74 ((~![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(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15088,plain,
% 21.39/21.74 ((~![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(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)),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 21.39/21.74 tff(15089,plain,
% 21.39/21.74 (node15(s185) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15088, 863, 15082])).
% 21.39/21.74 tff(15090,plain,
% 21.39/21.74 (m_main_v_turn(s186, c_1)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15089, 15071, 15063, 15027])).
% 21.39/21.74 tff(15091,plain,
% 21.39/21.74 (((~![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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15092,plain,
% 21.39/21.74 ((~![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)))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15093,plain,
% 21.39/21.74 ((~![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))),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15092, 15091])).
% 21.39/21.74 tff(15094,plain,
% 21.39/21.74 (~m_main_v_turn(s186, c_2)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15093, 322, 15090])).
% 21.39/21.74 tff(15095,plain,
% 21.39/21.74 (((~![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)))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15096,plain,
% 21.39/21.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15097,plain,
% 21.39/21.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186))),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 21.39/21.74 tff(15098,plain,
% 21.39/21.74 (~node12(s186)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15097, 350, 15094])).
% 21.39/21.74 tff(15099,plain,
% 21.39/21.74 (((~![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))),
% 21.39/21.74 inference(rewrite,[status(thm)],[])).
% 21.39/21.74 tff(15100,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))),
% 21.39/21.74 inference(quant_inst,[status(thm)],[])).
% 21.39/21.74 tff(15101,plain,
% 21.39/21.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186)),
% 21.39/21.74 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 21.39/21.74 tff(15102,plain,
% 21.39/21.74 (node14(s185, s186)),
% 21.39/21.74 inference(unit_resolution,[status(thm)],[15101, 130, 15078])).
% 21.39/21.74 tff(15103,plain,
% 21.39/21.74 (((~![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(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))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15104,plain,
% 21.39/21.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15105,plain,
% 21.39/21.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2)),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15104, 15103])).
% 21.39/21.75 tff(15106,plain,
% 21.39/21.75 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state2(s186, c_t2)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15105, 893, 15102])).
% 21.39/21.75 tff(15107,plain,
% 21.39/21.75 (m_main_v_state2(s186, c_t2)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15106, 15027, 15063])).
% 21.39/21.75 tff(15108,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15109,plain,
% 21.39/21.75 ((~![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)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15110,plain,
% 21.39/21.75 ((~![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))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 21.39/21.75 tff(15111,plain,
% 21.39/21.75 (~m_main_v_state2(s186, c_n2)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15110, 10, 15107])).
% 21.39/21.75 tff(15112,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15113,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15114,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 21.39/21.75 tff(15115,plain,
% 21.39/21.75 (~node8(s186)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15114, 383, 15111])).
% 21.39/21.75 tff(15116,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15117,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15118,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 21.39/21.75 tff(15119,plain,
% 21.39/21.75 (~node9(s186)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15118, 311, 15111])).
% 21.39/21.75 tff(15120,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15121,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15122,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 21.39/21.75 tff(15123,plain,
% 21.39/21.75 (~node10(s186)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15122, 372, 15111])).
% 21.39/21.75 tff(15124,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15125,plain,
% 21.39/21.75 ((~![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)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15126,plain,
% 21.39/21.75 ((~![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))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15125, 15124])).
% 21.39/21.75 tff(15127,plain,
% 21.39/21.75 (~m_main_v_state2(s186, c_c2)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15126, 173, 15107])).
% 21.39/21.75 tff(15128,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15129,plain,
% 21.39/21.75 ((~![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)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15130,plain,
% 21.39/21.75 ((~![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))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 21.39/21.75 tff(15131,plain,
% 21.39/21.75 (~m_main_v_state2(s185, c_c2)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15130, 716, 15063])).
% 21.39/21.75 tff(15132,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15133,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15134,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 21.39/21.75 tff(15135,plain,
% 21.39/21.75 (~node3(s185)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15134, 184, 15131])).
% 21.39/21.75 tff(15136,plain,
% 21.39/21.75 (((~![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(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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15137,plain,
% 21.39/21.75 (((~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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15138,plain,
% 21.39/21.75 (((~![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))))),
% 21.39/21.75 inference(monotonicity,[status(thm)],[15137])).
% 21.39/21.75 tff(15139,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(transitivity,[status(thm)],[15138, 15136])).
% 21.39/21.75 tff(15140,plain,
% 21.39/21.75 ((~![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)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15141,plain,
% 21.39/21.75 ((~![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(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 21.39/21.75 tff(15142,plain,
% 21.39/21.75 (~m_main_v_state1(s185, c_n1)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15141, 936, 14935, 15020])).
% 21.39/21.75 tff(15143,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15144,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15145,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 21.39/21.75 tff(15146,plain,
% 21.39/21.75 (~node2(s185)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15145, 652, 15142])).
% 21.39/21.75 tff(15147,plain,
% 21.39/21.75 (((~![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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15148,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15149,plain,
% 21.39/21.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185))),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 21.39/21.75 tff(15150,plain,
% 21.39/21.75 (~node1(s185)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15149, 206, 15067])).
% 21.39/21.75 tff(15151,plain,
% 21.39/21.75 (((~![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))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15152,plain,
% 21.39/21.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))),
% 21.39/21.75 inference(quant_inst,[status(thm)],[])).
% 21.39/21.75 tff(15153,plain,
% 21.39/21.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186)),
% 21.39/21.75 inference(modus_ponens,[status(thm)],[15152, 15151])).
% 21.39/21.75 tff(15154,plain,
% 21.39/21.75 (node7(s185, s186)),
% 21.39/21.75 inference(unit_resolution,[status(thm)],[15153, 217, 15078])).
% 21.39/21.75 tff(15155,plain,
% 21.39/21.75 (((~![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(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)))),
% 21.39/21.75 inference(rewrite,[status(thm)],[])).
% 21.39/21.75 tff(15156,plain,
% 21.39/21.75 (((~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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15157,plain,
% 21.39/21.76 (((~![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(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))))),
% 21.39/21.76 inference(monotonicity,[status(thm)],[15156])).
% 21.39/21.76 tff(15158,plain,
% 21.39/21.76 (((~![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(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)))),
% 21.39/21.76 inference(transitivity,[status(thm)],[15157, 15155])).
% 21.39/21.76 tff(15159,plain,
% 21.39/21.76 ((~![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(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))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15160,plain,
% 21.39/21.76 ((~![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(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))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 21.39/21.76 tff(15161,plain,
% 21.39/21.76 ((~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)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15160, 965, 15154])).
% 21.39/21.76 tff(15162,plain,
% 21.39/21.76 (m_main_v_state1(s186, c_c1)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15161, 15150, 15063, 15027, 15146, 15135])).
% 21.39/21.76 tff(15163,plain,
% 21.39/21.76 (((~![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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15164,plain,
% 21.39/21.76 ((~![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)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15165,plain,
% 21.39/21.76 ((~![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))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 21.39/21.76 tff(15166,plain,
% 21.39/21.76 (~m_main_v_state1(s186, c_n1)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15165, 449, 15162])).
% 21.39/21.76 tff(15167,plain,
% 21.39/21.76 (((~![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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15168,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15169,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 21.39/21.76 tff(15170,plain,
% 21.39/21.76 (~node11(s186)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15169, 361, 15166])).
% 21.39/21.76 tff(15171,plain,
% 21.39/21.76 (succ(s186, s187) <=> succ(s186, s187)),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15172,axiom,(succ(s186, s187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound187')).
% 21.39/21.76 tff(15173,plain,
% 21.39/21.76 (succ(s186, s187)),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 21.39/21.76 tff(15174,plain,
% 21.39/21.76 (((~![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))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15175,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15176,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 21.39/21.76 tff(15177,plain,
% 21.39/21.76 (trans(s186, s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15176, 15173, 57])).
% 21.39/21.76 tff(15178,plain,
% 21.39/21.76 (((~![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))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15179,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15180,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187)),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15179, 15178])).
% 21.39/21.76 tff(15181,plain,
% 21.39/21.76 (node14(s186, s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15180, 130, 15177])).
% 21.39/21.76 tff(15182,plain,
% 21.39/21.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15183,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15184,plain,
% 21.39/21.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15183, 15182])).
% 21.39/21.76 tff(15185,plain,
% 21.39/21.76 (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15184, 401, 15181])).
% 21.39/21.76 tff(15186,plain,
% 21.39/21.76 (node13(s186, s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15185, 15170, 15127, 15123, 15119, 15115, 15098])).
% 21.39/21.76 tff(15187,plain,
% 21.39/21.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15188,plain,
% 21.39/21.76 (((~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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15189,plain,
% 21.39/21.76 (((~![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))))),
% 21.39/21.76 inference(monotonicity,[status(thm)],[15188])).
% 21.39/21.76 tff(15190,plain,
% 21.39/21.76 (((~![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)))),
% 21.39/21.76 inference(transitivity,[status(thm)],[15189, 15187])).
% 21.39/21.76 tff(15191,plain,
% 21.39/21.76 ((~![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)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15192,plain,
% 21.39/21.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 21.39/21.76 tff(15193,plain,
% 21.39/21.76 (~m_main_v_state2(s187, c_n2)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15192, 416, 15111, 15186])).
% 21.39/21.76 tff(15194,plain,
% 21.39/21.76 (((~![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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15195,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15196,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15195, 15194])).
% 21.39/21.76 tff(15197,plain,
% 21.39/21.76 (~node9(s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15196, 311, 15193])).
% 21.39/21.76 tff(15198,plain,
% 21.39/21.76 (((~![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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15199,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 21.39/21.76 inference(quant_inst,[status(thm)],[])).
% 21.39/21.76 tff(15200,plain,
% 21.39/21.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187))),
% 21.39/21.76 inference(modus_ponens,[status(thm)],[15199, 15198])).
% 21.39/21.76 tff(15201,plain,
% 21.39/21.76 (~node10(s187)),
% 21.39/21.76 inference(unit_resolution,[status(thm)],[15200, 372, 15193])).
% 21.39/21.76 tff(15202,plain,
% 21.39/21.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(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)))),
% 21.39/21.76 inference(rewrite,[status(thm)],[])).
% 21.39/21.76 tff(15203,plain,
% 21.39/21.76 (((~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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15204,plain,
% 21.39/21.77 (((~![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))))),
% 21.39/21.77 inference(monotonicity,[status(thm)],[15203])).
% 21.39/21.77 tff(15205,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(transitivity,[status(thm)],[15204, 15202])).
% 21.39/21.77 tff(15206,plain,
% 21.39/21.77 ((~![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))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15207,plain,
% 21.39/21.77 ((~![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(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 21.39/21.77 tff(15208,plain,
% 21.39/21.77 (m_main_v_state2(s187, c_t2)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15207, 563, 15107, 15186])).
% 21.39/21.77 tff(15209,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15210,plain,
% 21.39/21.77 ((~![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)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15211,plain,
% 21.39/21.77 ((~![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))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15210, 15209])).
% 21.39/21.77 tff(15212,plain,
% 21.39/21.77 (~m_main_v_state1(s186, c_t1)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15211, 289, 15162])).
% 21.39/21.77 tff(15213,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15214,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15215,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15214, 15213])).
% 21.39/21.77 tff(15216,plain,
% 21.39/21.77 (~node5(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15215, 300, 15212])).
% 21.39/21.77 tff(15217,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15218,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15219,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 21.39/21.77 tff(15220,plain,
% 21.39/21.77 (~node4(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15219, 162, 15111])).
% 21.39/21.77 tff(15221,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15222,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15223,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15222, 15221])).
% 21.39/21.77 tff(15224,plain,
% 21.39/21.77 (~node3(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15223, 184, 15127])).
% 21.39/21.77 tff(15225,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15226,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15227,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15226, 15225])).
% 21.39/21.77 tff(15228,plain,
% 21.39/21.77 (~node2(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15227, 195, 15111])).
% 21.39/21.77 tff(15229,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15230,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15231,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 21.39/21.77 tff(15232,plain,
% 21.39/21.77 (~node1(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15231, 249, 15166])).
% 21.39/21.77 tff(15233,plain,
% 21.39/21.77 (((~![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))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15234,plain,
% 21.39/21.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15235,plain,
% 21.39/21.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187)),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15234, 15233])).
% 21.39/21.77 tff(15236,plain,
% 21.39/21.77 (node7(s186, s187)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15235, 217, 15177])).
% 21.39/21.77 tff(15237,plain,
% 21.39/21.77 (((~![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(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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15238,plain,
% 21.39/21.77 (((~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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15239,plain,
% 21.39/21.77 (((~![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(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))))),
% 21.39/21.77 inference(monotonicity,[status(thm)],[15238])).
% 21.39/21.77 tff(15240,plain,
% 21.39/21.77 (((~![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(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)))),
% 21.39/21.77 inference(transitivity,[status(thm)],[15239, 15237])).
% 21.39/21.77 tff(15241,plain,
% 21.39/21.77 ((~![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(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15242,plain,
% 21.39/21.77 ((~![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(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 21.39/21.77 tff(15243,plain,
% 21.39/21.77 (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15242, 478, 15236])).
% 21.39/21.77 tff(15244,plain,
% 21.39/21.77 (m_main_v_state1(s187, c_n1)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15243, 15232, 15162, 15228, 15224, 15220, 15216])).
% 21.39/21.77 tff(15245,plain,
% 21.39/21.77 (((~![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)))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15246,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15247,plain,
% 21.39/21.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187))),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15246, 15245])).
% 21.39/21.77 tff(15248,plain,
% 21.39/21.77 (~node8(s187)),
% 21.39/21.77 inference(unit_resolution,[status(thm)],[15247, 383, 15193])).
% 21.39/21.77 tff(15249,plain,
% 21.39/21.77 (succ(s187, s188) <=> succ(s187, s188)),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15250,axiom,(succ(s187, s188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound188')).
% 21.39/21.77 tff(15251,plain,
% 21.39/21.77 (succ(s187, s188)),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15250, 15249])).
% 21.39/21.77 tff(15252,plain,
% 21.39/21.77 (((~![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))),
% 21.39/21.77 inference(rewrite,[status(thm)],[])).
% 21.39/21.77 tff(15253,plain,
% 21.39/21.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 21.39/21.77 inference(quant_inst,[status(thm)],[])).
% 21.39/21.77 tff(15254,plain,
% 21.39/21.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 21.39/21.77 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 21.39/21.77 tff(15255,plain,
% 21.39/21.78 (trans(s187, s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15254, 15251, 57])).
% 21.39/21.78 tff(15256,plain,
% 21.39/21.78 (((~![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))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15257,plain,
% 21.39/21.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15258,plain,
% 21.39/21.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188)),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 21.39/21.78 tff(15259,plain,
% 21.39/21.78 (node14(s187, s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15258, 130, 15255])).
% 21.39/21.78 tff(15260,plain,
% 21.39/21.78 (((~![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(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))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15261,plain,
% 21.39/21.78 ((~![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(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))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15262,plain,
% 21.39/21.78 ((~![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(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)),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 21.39/21.78 tff(15263,plain,
% 21.39/21.78 ((~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)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15262, 704, 15259])).
% 21.39/21.78 tff(15264,plain,
% 21.39/21.78 (m_main_v_state2(s188, c_c2)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15263, 15248, 15244, 15208, 15201, 15197])).
% 21.39/21.78 tff(15265,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15266,plain,
% 21.39/21.78 ((~![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)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15267,plain,
% 21.39/21.78 ((~![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))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 21.39/21.78 tff(15268,plain,
% 21.39/21.78 (~m_main_v_state2(s188, c_t2)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15267, 173, 15264])).
% 21.39/21.78 tff(15269,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15270,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15271,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 21.39/21.78 tff(15272,plain,
% 21.39/21.78 (~node12(s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15271, 778, 15268])).
% 21.39/21.78 tff(15273,plain,
% 21.39/21.78 (((~![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))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15274,plain,
% 21.39/21.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15275,plain,
% 21.39/21.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188)),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15274, 15273])).
% 21.39/21.78 tff(15276,plain,
% 21.39/21.78 (node7(s187, s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15275, 217, 15255])).
% 21.39/21.78 tff(15277,plain,
% 21.39/21.78 (((~![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(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))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15278,plain,
% 21.39/21.78 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15279,plain,
% 21.39/21.78 ((~![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(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1)),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15278, 15277])).
% 21.39/21.78 tff(15280,plain,
% 21.39/21.78 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_state1(s188, c_t1)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15279, 598, 15276])).
% 21.39/21.78 tff(15281,plain,
% 21.39/21.78 (m_main_v_state1(s188, c_t1)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15280, 15208, 15244])).
% 21.39/21.78 tff(15282,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15283,plain,
% 21.39/21.78 ((~![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)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15284,plain,
% 21.39/21.78 ((~![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))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15283, 15282])).
% 21.39/21.78 tff(15285,plain,
% 21.39/21.78 (~m_main_v_state1(s188, c_n1)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15284, 35, 15281])).
% 21.39/21.78 tff(15286,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15287,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15288,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 21.39/21.78 tff(15289,plain,
% 21.39/21.78 (~node11(s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15288, 361, 15285])).
% 21.39/21.78 tff(15290,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15291,plain,
% 21.39/21.78 ((~![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)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15292,plain,
% 21.39/21.78 ((~![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))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15291, 15290])).
% 21.39/21.78 tff(15293,plain,
% 21.39/21.78 (~m_main_v_state1(s188, c_c1)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15292, 289, 15281])).
% 21.39/21.78 tff(15294,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15295,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15296,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15295, 15294])).
% 21.39/21.78 tff(15297,plain,
% 21.39/21.78 (~node10(s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15296, 793, 15293])).
% 21.39/21.78 tff(15298,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15299,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15300,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15299, 15298])).
% 21.39/21.78 tff(15301,plain,
% 21.39/21.78 (~node9(s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15300, 804, 15285])).
% 21.39/21.78 tff(15302,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15303,plain,
% 21.39/21.78 ((~![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)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15304,plain,
% 21.39/21.78 ((~![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))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15303, 15302])).
% 21.39/21.78 tff(15305,plain,
% 21.39/21.78 (~m_main_v_state2(s188, c_n2)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15304, 716, 15264])).
% 21.39/21.78 tff(15306,plain,
% 21.39/21.78 (((~![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)))),
% 21.39/21.78 inference(rewrite,[status(thm)],[])).
% 21.39/21.78 tff(15307,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 21.39/21.78 inference(quant_inst,[status(thm)],[])).
% 21.39/21.78 tff(15308,plain,
% 21.39/21.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188))),
% 21.39/21.78 inference(modus_ponens,[status(thm)],[15307, 15306])).
% 21.39/21.78 tff(15309,plain,
% 21.39/21.78 (~node8(s188)),
% 21.39/21.78 inference(unit_resolution,[status(thm)],[15308, 383, 15305])).
% 21.39/21.79 tff(15310,plain,
% 21.39/21.79 (succ(s188, s189) <=> succ(s188, s189)),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15311,axiom,(succ(s188, s189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound189')).
% 21.39/21.79 tff(15312,plain,
% 21.39/21.79 (succ(s188, s189)),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 21.39/21.79 tff(15313,plain,
% 21.39/21.79 (((~![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))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15314,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15315,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15314, 15313])).
% 21.39/21.79 tff(15316,plain,
% 21.39/21.79 (trans(s188, s189)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15315, 15312, 57])).
% 21.39/21.79 tff(15317,plain,
% 21.39/21.79 (((~![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))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15318,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15319,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189)),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15318, 15317])).
% 21.39/21.79 tff(15320,plain,
% 21.39/21.79 (node14(s188, s189)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15319, 130, 15316])).
% 21.39/21.79 tff(15321,plain,
% 21.39/21.79 (((~![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(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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15322,plain,
% 21.39/21.79 (((~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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15323,plain,
% 21.39/21.79 (((~![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(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))))),
% 21.39/21.79 inference(monotonicity,[status(thm)],[15322])).
% 21.39/21.79 tff(15324,plain,
% 21.39/21.79 (((~![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(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)))),
% 21.39/21.79 inference(transitivity,[status(thm)],[15323, 15321])).
% 21.39/21.79 tff(15325,plain,
% 21.39/21.79 ((~![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(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15326,plain,
% 21.39/21.79 ((~![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(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15325, 15324])).
% 21.39/21.79 tff(15327,plain,
% 21.39/21.79 (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~m_main_v_state2(s188, c_c2))),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15326, 826, 15320])).
% 21.39/21.79 tff(15328,plain,
% 21.39/21.79 (m_main_v_state2(s189, c_n2)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15327, 15309, 15264, 15301, 15297, 15289, 15272])).
% 21.39/21.79 tff(15329,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15330,plain,
% 21.39/21.79 ((~![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)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15331,plain,
% 21.39/21.79 ((~![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))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 21.39/21.79 tff(15332,plain,
% 21.39/21.79 (~m_main_v_state2(s189, c_c2)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15331, 716, 15328])).
% 21.39/21.79 tff(15333,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15334,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15335,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 21.39/21.79 tff(15336,plain,
% 21.39/21.79 (~node3(s189)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15335, 184, 15332])).
% 21.39/21.79 tff(15337,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15338,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15339,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15338, 15337])).
% 21.39/21.79 tff(15340,plain,
% 21.39/21.79 (~node1(s188)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15339, 249, 15285])).
% 21.39/21.79 tff(15341,plain,
% 21.39/21.79 (((~![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))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15342,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15343,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188)),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 21.39/21.79 tff(15344,plain,
% 21.39/21.79 (node18(s187, s188)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15343, 71, 15255])).
% 21.39/21.79 tff(15345,plain,
% 21.39/21.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15346,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15347,plain,
% 21.39/21.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2)),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15346, 15345])).
% 21.39/21.79 tff(15348,plain,
% 21.39/21.79 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_turn(s188, c_2)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15347, 625, 15344])).
% 21.39/21.79 tff(15349,plain,
% 21.39/21.79 (m_main_v_turn(s188, c_2)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15348, 15208, 15244])).
% 21.39/21.79 tff(15350,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15351,plain,
% 21.39/21.79 ((~![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)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15352,plain,
% 21.39/21.79 ((~![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))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 21.39/21.79 tff(15353,plain,
% 21.39/21.79 (~m_main_v_turn(s188, c_1)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15352, 322, 15349])).
% 21.39/21.79 tff(15354,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15355,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15356,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 21.39/21.79 tff(15357,plain,
% 21.39/21.79 (~node5(s188)),
% 21.39/21.79 inference(unit_resolution,[status(thm)],[15356, 641, 15353])).
% 21.39/21.79 tff(15358,plain,
% 21.39/21.79 (((~![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)))),
% 21.39/21.79 inference(rewrite,[status(thm)],[])).
% 21.39/21.79 tff(15359,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 21.39/21.79 inference(quant_inst,[status(thm)],[])).
% 21.39/21.79 tff(15360,plain,
% 21.39/21.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188))),
% 21.39/21.79 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 21.39/21.80 tff(15361,plain,
% 21.39/21.80 (~node2(s188)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15360, 652, 15285])).
% 21.39/21.80 tff(15362,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15363,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15364,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15363, 15362])).
% 21.39/21.80 tff(15365,plain,
% 21.39/21.80 (~node3(s188)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15364, 663, 15285])).
% 21.39/21.80 tff(15366,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15367,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15368,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 21.39/21.80 tff(15369,plain,
% 21.39/21.80 (~node4(s188)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15368, 162, 15305])).
% 21.39/21.80 tff(15370,plain,
% 21.39/21.80 (((~![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))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15371,plain,
% 21.39/21.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15372,plain,
% 21.39/21.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189)),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15371, 15370])).
% 21.39/21.80 tff(15373,plain,
% 21.39/21.80 (node7(s188, s189)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15372, 217, 15316])).
% 21.39/21.80 tff(15374,plain,
% 21.39/21.80 (((~![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(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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15375,plain,
% 21.39/21.80 ((~![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(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15376,plain,
% 21.39/21.80 ((~![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(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15375, 15374])).
% 21.39/21.80 tff(15377,plain,
% 21.39/21.80 (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15376, 745, 15373])).
% 21.39/21.80 tff(15378,plain,
% 21.39/21.80 (node6(s188, s189)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15377, 15369, 15293, 15365, 15361, 15357, 15340])).
% 21.39/21.80 tff(15379,plain,
% 21.39/21.80 (((~![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(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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15380,plain,
% 21.39/21.80 (((~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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15381,plain,
% 21.39/21.80 (((~![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))))),
% 21.39/21.80 inference(monotonicity,[status(thm)],[15380])).
% 21.39/21.80 tff(15382,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(transitivity,[status(thm)],[15381, 15379])).
% 21.39/21.80 tff(15383,plain,
% 21.39/21.80 ((~![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)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15384,plain,
% 21.39/21.80 ((~![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(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 21.39/21.80 tff(15385,plain,
% 21.39/21.80 (~m_main_v_state1(s189, c_n1)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15384, 936, 15285, 15378])).
% 21.39/21.80 tff(15386,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15387,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15388,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 21.39/21.80 tff(15389,plain,
% 21.39/21.80 (~node2(s189)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15388, 652, 15385])).
% 21.39/21.80 tff(15390,plain,
% 21.39/21.80 (((~![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(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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15391,plain,
% 21.39/21.80 (((~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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15392,plain,
% 21.39/21.80 (((~![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))))),
% 21.39/21.80 inference(monotonicity,[status(thm)],[15391])).
% 21.39/21.80 tff(15393,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(transitivity,[status(thm)],[15392, 15390])).
% 21.39/21.80 tff(15394,plain,
% 21.39/21.80 ((~![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))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15395,plain,
% 21.39/21.80 ((~![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(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 21.39/21.80 tff(15396,plain,
% 21.39/21.80 (m_main_v_state1(s189, c_t1)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15395, 760, 15281, 15378])).
% 21.39/21.80 tff(15397,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15398,plain,
% 21.39/21.80 ((~![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)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15399,plain,
% 21.39/21.80 ((~![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))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15398, 15397])).
% 21.39/21.80 tff(15400,plain,
% 21.39/21.80 (~m_main_v_state2(s189, c_t2)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15399, 10, 15328])).
% 21.39/21.80 tff(15401,plain,
% 21.39/21.80 (((~![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)))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15402,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15403,plain,
% 21.39/21.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189))),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15402, 15401])).
% 21.39/21.80 tff(15404,plain,
% 21.39/21.80 (~node1(s189)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15403, 206, 15400])).
% 21.39/21.80 tff(15405,plain,
% 21.39/21.80 (succ(s189, s190) <=> succ(s189, s190)),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15406,axiom,(succ(s189, s190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound190')).
% 21.39/21.80 tff(15407,plain,
% 21.39/21.80 (succ(s189, s190)),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15406, 15405])).
% 21.39/21.80 tff(15408,plain,
% 21.39/21.80 (((~![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))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15409,plain,
% 21.39/21.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.80 tff(15410,plain,
% 21.39/21.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 21.39/21.80 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 21.39/21.80 tff(15411,plain,
% 21.39/21.80 (trans(s189, s190)),
% 21.39/21.80 inference(unit_resolution,[status(thm)],[15410, 15407, 57])).
% 21.39/21.80 tff(15412,plain,
% 21.39/21.80 (((~![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))),
% 21.39/21.80 inference(rewrite,[status(thm)],[])).
% 21.39/21.80 tff(15413,plain,
% 21.39/21.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))),
% 21.39/21.80 inference(quant_inst,[status(thm)],[])).
% 21.39/21.81 tff(15414,plain,
% 21.39/21.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190)),
% 21.39/21.81 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 21.39/21.81 tff(15415,plain,
% 21.39/21.81 (node7(s189, s190)),
% 21.39/21.81 inference(unit_resolution,[status(thm)],[15414, 217, 15411])).
% 21.39/21.81 tff(15416,plain,
% 21.39/21.81 (((~![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(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)))),
% 21.39/21.81 inference(rewrite,[status(thm)],[])).
% 21.39/21.81 tff(15417,plain,
% 21.39/21.81 (((~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)))),
% 21.39/21.81 inference(rewrite,[status(thm)],[])).
% 21.39/21.81 tff(15418,plain,
% 21.39/21.81 (((~![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(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))))),
% 21.39/21.81 inference(monotonicity,[status(thm)],[15417])).
% 21.39/21.81 tff(15419,plain,
% 21.39/21.81 (((~![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(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)))),
% 21.39/21.81 inference(transitivity,[status(thm)],[15418, 15416])).
% 21.39/21.81 tff(15420,plain,
% 21.39/21.81 ((~![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(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))),
% 21.39/21.81 inference(quant_inst,[status(thm)],[])).
% 21.39/21.81 tff(15421,plain,
% 21.39/21.81 ((~![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(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))),
% 21.39/21.81 inference(modus_ponens,[status(thm)],[15420, 15419])).
% 21.39/21.81 tff(15422,plain,
% 21.39/21.81 ((~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)),
% 21.39/21.81 inference(unit_resolution,[status(thm)],[15421, 965, 15415])).
% 21.39/21.81 tff(15423,plain,
% 21.39/21.81 (m_main_v_state1(s190, c_c1)),
% 21.39/21.81 inference(unit_resolution,[status(thm)],[15422, 15404, 15328, 15396, 15389, 15336])).
% 21.39/21.81 tff(15424,plain,
% 21.39/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15425,plain,
% 21.49/21.81 ((~![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)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15426,plain,
% 21.49/21.81 ((~![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))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 21.49/21.81 tff(15427,plain,
% 21.49/21.81 (~m_main_v_state1(s190, c_t1)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15426, 289, 15423])).
% 21.49/21.81 tff(15428,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15429,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15430,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15429, 15428])).
% 21.49/21.81 tff(15431,plain,
% 21.49/21.81 (~node5(s190)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15430, 300, 15427])).
% 21.49/21.81 tff(15432,plain,
% 21.49/21.81 (((~![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))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15433,plain,
% 21.49/21.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15434,plain,
% 21.49/21.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190)),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 21.49/21.81 tff(15435,plain,
% 21.49/21.81 (node14(s189, s190)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15434, 130, 15411])).
% 21.49/21.81 tff(15436,plain,
% 21.49/21.81 (((~![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(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))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15437,plain,
% 21.49/21.81 ((~![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(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15438,plain,
% 21.49/21.81 ((~![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(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2)),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 21.49/21.81 tff(15439,plain,
% 21.49/21.81 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state2(s190, c_t2)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15438, 893, 15435])).
% 21.49/21.81 tff(15440,plain,
% 21.49/21.81 (m_main_v_state2(s190, c_t2)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15439, 15396, 15328])).
% 21.49/21.81 tff(15441,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15442,plain,
% 21.49/21.81 ((~![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)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15443,plain,
% 21.49/21.81 ((~![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))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15442, 15441])).
% 21.49/21.81 tff(15444,plain,
% 21.49/21.81 (~m_main_v_state2(s190, c_n2)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15443, 10, 15440])).
% 21.49/21.81 tff(15445,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15446,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15447,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 21.49/21.81 tff(15448,plain,
% 21.49/21.81 (~node4(s190)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15447, 162, 15444])).
% 21.49/21.81 tff(15449,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15450,plain,
% 21.49/21.81 ((~![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)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15451,plain,
% 21.49/21.81 ((~![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))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 21.49/21.81 tff(15452,plain,
% 21.49/21.81 (~m_main_v_state2(s190, c_c2)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15451, 173, 15440])).
% 21.49/21.81 tff(15453,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15454,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15455,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 21.49/21.81 tff(15456,plain,
% 21.49/21.81 (~node3(s190)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15455, 184, 15452])).
% 21.49/21.81 tff(15457,plain,
% 21.49/21.81 (((~![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)))),
% 21.49/21.81 inference(rewrite,[status(thm)],[])).
% 21.49/21.81 tff(15458,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 21.49/21.81 inference(quant_inst,[status(thm)],[])).
% 21.49/21.81 tff(15459,plain,
% 21.49/21.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190))),
% 21.49/21.81 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 21.49/21.81 tff(15460,plain,
% 21.49/21.81 (~node2(s190)),
% 21.49/21.81 inference(unit_resolution,[status(thm)],[15459, 195, 15444])).
% 21.49/21.81 tff(15461,plain,
% 21.49/21.81 (((~![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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15462,plain,
% 21.51/21.82 ((~![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)))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15463,plain,
% 21.51/21.82 ((~![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))),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 21.51/21.82 tff(15464,plain,
% 21.51/21.82 (~m_main_v_state1(s190, c_n1)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15463, 449, 15423])).
% 21.51/21.82 tff(15465,plain,
% 21.51/21.82 (((~![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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15466,plain,
% 21.51/21.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15467,plain,
% 21.51/21.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190))),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 21.51/21.82 tff(15468,plain,
% 21.51/21.82 (~node1(s190)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15467, 249, 15464])).
% 21.51/21.82 tff(15469,plain,
% 21.51/21.82 (succ(s190, s191) <=> succ(s190, s191)),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15470,axiom,(succ(s190, s191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound191')).
% 21.51/21.82 tff(15471,plain,
% 21.51/21.82 (succ(s190, s191)),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 21.51/21.82 tff(15472,plain,
% 21.51/21.82 (((~![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))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15473,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15474,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15473, 15472])).
% 21.51/21.82 tff(15475,plain,
% 21.51/21.82 (trans(s190, s191)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15474, 15471, 57])).
% 21.51/21.82 tff(15476,plain,
% 21.51/21.82 (((~![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))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15477,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15478,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191)),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15477, 15476])).
% 21.51/21.82 tff(15479,plain,
% 21.51/21.82 (node7(s190, s191)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15478, 217, 15475])).
% 21.51/21.82 tff(15480,plain,
% 21.51/21.82 (((~![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(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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15481,plain,
% 21.51/21.82 (((~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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15482,plain,
% 21.51/21.82 (((~![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(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))))),
% 21.51/21.82 inference(monotonicity,[status(thm)],[15481])).
% 21.51/21.82 tff(15483,plain,
% 21.51/21.82 (((~![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(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)))),
% 21.51/21.82 inference(transitivity,[status(thm)],[15482, 15480])).
% 21.51/21.82 tff(15484,plain,
% 21.51/21.82 ((~![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(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15485,plain,
% 21.51/21.82 ((~![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(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 21.51/21.82 tff(15486,plain,
% 21.51/21.82 (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15485, 478, 15479])).
% 21.51/21.82 tff(15487,plain,
% 21.51/21.82 (m_main_v_state1(s191, c_n1)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15486, 15468, 15423, 15460, 15456, 15448, 15431])).
% 21.51/21.82 tff(15488,plain,
% 21.51/21.82 (((~![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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15489,plain,
% 21.51/21.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15490,plain,
% 21.51/21.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189))),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 21.51/21.82 tff(15491,plain,
% 21.51/21.82 (~node15(s189)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15490, 21, 15400])).
% 21.51/21.82 tff(15492,plain,
% 21.51/21.82 (((~![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))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15493,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15494,plain,
% 21.51/21.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190)),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 21.51/21.82 tff(15495,plain,
% 21.51/21.82 (node18(s189, s190)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15494, 71, 15411])).
% 21.51/21.82 tff(15496,plain,
% 21.51/21.82 (((~![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(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))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15497,plain,
% 21.51/21.82 (((~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))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15498,plain,
% 21.51/21.82 (((~![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(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)))),
% 21.51/21.82 inference(monotonicity,[status(thm)],[15497])).
% 21.51/21.82 tff(15499,plain,
% 21.51/21.82 (((~![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(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))),
% 21.51/21.82 inference(transitivity,[status(thm)],[15498, 15496])).
% 21.51/21.82 tff(15500,plain,
% 21.51/21.82 ((~![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(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15501,plain,
% 21.51/21.82 ((~![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(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)),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15500, 15499])).
% 21.51/21.82 tff(15502,plain,
% 21.51/21.82 (node15(s189) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15501, 863, 15495])).
% 21.51/21.82 tff(15503,plain,
% 21.51/21.82 (m_main_v_turn(s190, c_1)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15502, 15491, 15328, 15396])).
% 21.51/21.82 tff(15504,plain,
% 21.51/21.82 (((~![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)))),
% 21.51/21.82 inference(rewrite,[status(thm)],[])).
% 21.51/21.82 tff(15505,plain,
% 21.51/21.82 ((~![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)))),
% 21.51/21.82 inference(quant_inst,[status(thm)],[])).
% 21.51/21.82 tff(15506,plain,
% 21.51/21.82 ((~![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))),
% 21.51/21.82 inference(modus_ponens,[status(thm)],[15505, 15504])).
% 21.51/21.82 tff(15507,plain,
% 21.51/21.82 (~m_main_v_turn(s190, c_2)),
% 21.51/21.82 inference(unit_resolution,[status(thm)],[15506, 322, 15503])).
% 21.51/21.82 tff(15508,plain,
% 21.51/21.82 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15509,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15510,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15509, 15508])).
% 21.51/21.83 tff(15511,plain,
% 21.51/21.83 (~node12(s190)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15510, 350, 15507])).
% 21.51/21.83 tff(15512,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15513,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15514,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 21.51/21.83 tff(15515,plain,
% 21.51/21.83 (~node8(s190)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15514, 383, 15444])).
% 21.51/21.83 tff(15516,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15517,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15518,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15517, 15516])).
% 21.51/21.83 tff(15519,plain,
% 21.51/21.83 (~node9(s190)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15518, 311, 15444])).
% 21.51/21.83 tff(15520,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15521,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15522,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 21.51/21.83 tff(15523,plain,
% 21.51/21.83 (~node10(s190)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15522, 372, 15444])).
% 21.51/21.83 tff(15524,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15525,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15526,plain,
% 21.51/21.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15525, 15524])).
% 21.51/21.83 tff(15527,plain,
% 21.51/21.83 (~node11(s190)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15526, 361, 15464])).
% 21.51/21.83 tff(15528,plain,
% 21.51/21.83 (((~![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))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15529,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15530,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191)),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15529, 15528])).
% 21.51/21.83 tff(15531,plain,
% 21.51/21.83 (node14(s190, s191)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15530, 130, 15475])).
% 21.51/21.83 tff(15532,plain,
% 21.51/21.83 (((~![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(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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15533,plain,
% 21.51/21.83 ((~![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(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15534,plain,
% 21.51/21.83 ((~![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(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15533, 15532])).
% 21.51/21.83 tff(15535,plain,
% 21.51/21.83 (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15534, 401, 15531])).
% 21.51/21.83 tff(15536,plain,
% 21.51/21.83 (node13(s190, s191)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15535, 15527, 15452, 15523, 15519, 15515, 15511])).
% 21.51/21.83 tff(15537,plain,
% 21.51/21.83 (((~![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(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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15538,plain,
% 21.51/21.83 (((~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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15539,plain,
% 21.51/21.83 (((~![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))))),
% 21.51/21.83 inference(monotonicity,[status(thm)],[15538])).
% 21.51/21.83 tff(15540,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(transitivity,[status(thm)],[15539, 15537])).
% 21.51/21.83 tff(15541,plain,
% 21.51/21.83 ((~![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))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15542,plain,
% 21.51/21.83 ((~![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(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191))),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15541, 15540])).
% 21.51/21.83 tff(15543,plain,
% 21.51/21.83 (m_main_v_state2(s191, c_t2)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15542, 563, 15440, 15536])).
% 21.51/21.83 tff(15544,plain,
% 21.51/21.83 (succ(s191, s192) <=> succ(s191, s192)),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15545,axiom,(succ(s191, s192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound192')).
% 21.51/21.83 tff(15546,plain,
% 21.51/21.83 (succ(s191, s192)),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 21.51/21.83 tff(15547,plain,
% 21.51/21.83 (((~![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))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15548,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15549,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 21.51/21.83 tff(15550,plain,
% 21.51/21.83 (trans(s191, s192)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15549, 15546, 57])).
% 21.51/21.83 tff(15551,plain,
% 21.51/21.83 (((~![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))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15552,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15553,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192)),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15552, 15551])).
% 21.51/21.83 tff(15554,plain,
% 21.51/21.83 (node7(s191, s192)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15553, 217, 15550])).
% 21.51/21.83 tff(15555,plain,
% 21.51/21.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15556,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15557,plain,
% 21.51/21.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1)),
% 21.51/21.83 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 21.51/21.83 tff(15558,plain,
% 21.51/21.83 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_state1(s192, c_t1)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15557, 598, 15554])).
% 21.51/21.83 tff(15559,plain,
% 21.51/21.83 (m_main_v_state1(s192, c_t1)),
% 21.51/21.83 inference(unit_resolution,[status(thm)],[15558, 15543, 15487])).
% 21.51/21.83 tff(15560,plain,
% 21.51/21.83 (((~![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)))),
% 21.51/21.83 inference(rewrite,[status(thm)],[])).
% 21.51/21.83 tff(15561,plain,
% 21.51/21.83 ((~![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)))),
% 21.51/21.83 inference(quant_inst,[status(thm)],[])).
% 21.51/21.83 tff(15562,plain,
% 21.51/21.83 ((~![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))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 21.51/21.84 tff(15563,plain,
% 21.51/21.84 (~m_main_v_state1(s192, c_n1)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15562, 35, 15559])).
% 21.51/21.84 tff(15564,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15565,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15566,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 21.51/21.84 tff(15567,plain,
% 21.51/21.84 (~node1(s192)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15566, 249, 15563])).
% 21.51/21.84 tff(15568,plain,
% 21.51/21.84 (((~![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))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15569,plain,
% 21.51/21.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15570,plain,
% 21.51/21.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192)),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 21.51/21.84 tff(15571,plain,
% 21.51/21.84 (node18(s191, s192)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15570, 71, 15550])).
% 21.51/21.84 tff(15572,plain,
% 21.51/21.84 (((~![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(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))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15573,plain,
% 21.51/21.84 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15574,plain,
% 21.51/21.84 ((~![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(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2)),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 21.51/21.84 tff(15575,plain,
% 21.51/21.84 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_turn(s192, c_2)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15574, 625, 15571])).
% 21.51/21.84 tff(15576,plain,
% 21.51/21.84 (m_main_v_turn(s192, c_2)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15575, 15543, 15487])).
% 21.51/21.84 tff(15577,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15578,plain,
% 21.51/21.84 ((~![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)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15579,plain,
% 21.51/21.84 ((~![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))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 21.51/21.84 tff(15580,plain,
% 21.51/21.84 (~m_main_v_turn(s192, c_1)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15579, 322, 15576])).
% 21.51/21.84 tff(15581,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15582,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15583,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 21.51/21.84 tff(15584,plain,
% 21.51/21.84 (~node5(s192)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15583, 641, 15580])).
% 21.51/21.84 tff(15585,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15586,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15587,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 21.51/21.84 tff(15588,plain,
% 21.51/21.84 (~node2(s192)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15587, 652, 15563])).
% 21.51/21.84 tff(15589,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15590,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15591,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 21.51/21.84 tff(15592,plain,
% 21.51/21.84 (~node3(s192)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15591, 663, 15563])).
% 21.51/21.84 tff(15593,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15594,plain,
% 21.51/21.84 ((~![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)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15595,plain,
% 21.51/21.84 ((~![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))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 21.51/21.84 tff(15596,plain,
% 21.51/21.84 (~m_main_v_state1(s192, c_c1)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15595, 289, 15559])).
% 21.51/21.84 tff(15597,plain,
% 21.51/21.84 (((~![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(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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15598,plain,
% 21.51/21.84 (((~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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15599,plain,
% 21.51/21.84 (((~![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))))),
% 21.51/21.84 inference(monotonicity,[status(thm)],[15598])).
% 21.51/21.84 tff(15600,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(transitivity,[status(thm)],[15599, 15597])).
% 21.51/21.84 tff(15601,plain,
% 21.51/21.84 ((~![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)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15602,plain,
% 21.51/21.84 ((~![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(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 21.51/21.84 tff(15603,plain,
% 21.51/21.84 (~m_main_v_state2(s191, c_n2)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15602, 416, 15444, 15536])).
% 21.51/21.84 tff(15604,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15605,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15606,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 21.51/21.84 tff(15607,plain,
% 21.51/21.84 (~node9(s191)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15606, 311, 15603])).
% 21.51/21.84 tff(15608,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15609,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15610,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 21.51/21.84 tff(15611,plain,
% 21.51/21.84 (~node10(s191)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15610, 372, 15603])).
% 21.51/21.84 tff(15612,plain,
% 21.51/21.84 (((~![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)))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15613,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15614,plain,
% 21.51/21.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191))),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 21.51/21.84 tff(15615,plain,
% 21.51/21.84 (~node8(s191)),
% 21.51/21.84 inference(unit_resolution,[status(thm)],[15614, 383, 15603])).
% 21.51/21.84 tff(15616,plain,
% 21.51/21.84 (((~![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))),
% 21.51/21.84 inference(rewrite,[status(thm)],[])).
% 21.51/21.84 tff(15617,plain,
% 21.51/21.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))),
% 21.51/21.84 inference(quant_inst,[status(thm)],[])).
% 21.51/21.84 tff(15618,plain,
% 21.51/21.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192)),
% 21.51/21.84 inference(modus_ponens,[status(thm)],[15617, 15616])).
% 21.51/21.85 tff(15619,plain,
% 21.51/21.85 (node14(s191, s192)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15618, 130, 15550])).
% 21.51/21.85 tff(15620,plain,
% 21.51/21.85 (((~![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(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))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15621,plain,
% 21.51/21.85 ((~![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(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))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15622,plain,
% 21.51/21.85 ((~![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(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)),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15621, 15620])).
% 21.51/21.85 tff(15623,plain,
% 21.51/21.85 ((~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)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15622, 704, 15619])).
% 21.51/21.85 tff(15624,plain,
% 21.51/21.85 (m_main_v_state2(s192, c_c2)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15623, 15615, 15487, 15543, 15611, 15607])).
% 21.51/21.85 tff(15625,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15626,plain,
% 21.51/21.85 ((~![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)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15627,plain,
% 21.51/21.85 ((~![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))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15626, 15625])).
% 21.51/21.85 tff(15628,plain,
% 21.51/21.85 (~m_main_v_state2(s192, c_n2)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15627, 716, 15624])).
% 21.51/21.85 tff(15629,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15630,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15631,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 21.51/21.85 tff(15632,plain,
% 21.51/21.85 (~node4(s192)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15631, 162, 15628])).
% 21.51/21.85 tff(15633,plain,
% 21.51/21.85 (succ(s192, s193) <=> succ(s192, s193)),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15634,axiom,(succ(s192, s193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound193')).
% 21.51/21.85 tff(15635,plain,
% 21.51/21.85 (succ(s192, s193)),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 21.51/21.85 tff(15636,plain,
% 21.51/21.85 (((~![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))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15637,plain,
% 21.51/21.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15638,plain,
% 21.51/21.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15637, 15636])).
% 21.51/21.85 tff(15639,plain,
% 21.51/21.85 (trans(s192, s193)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15638, 15635, 57])).
% 21.51/21.85 tff(15640,plain,
% 21.51/21.85 (((~![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))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15641,plain,
% 21.51/21.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15642,plain,
% 21.51/21.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193)),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15641, 15640])).
% 21.51/21.85 tff(15643,plain,
% 21.51/21.85 (node7(s192, s193)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15642, 217, 15639])).
% 21.51/21.85 tff(15644,plain,
% 21.51/21.85 (((~![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(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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15645,plain,
% 21.51/21.85 ((~![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(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15646,plain,
% 21.51/21.85 ((~![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(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 21.51/21.85 tff(15647,plain,
% 21.51/21.85 (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15646, 745, 15643])).
% 21.51/21.85 tff(15648,plain,
% 21.51/21.85 (node6(s192, s193)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15647, 15632, 15596, 15592, 15588, 15584, 15567])).
% 21.51/21.85 tff(15649,plain,
% 21.51/21.85 (((~![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(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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15650,plain,
% 21.51/21.85 (((~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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15651,plain,
% 21.51/21.85 (((~![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))))),
% 21.51/21.85 inference(monotonicity,[status(thm)],[15650])).
% 21.51/21.85 tff(15652,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(transitivity,[status(thm)],[15651, 15649])).
% 21.51/21.85 tff(15653,plain,
% 21.51/21.85 ((~![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))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15654,plain,
% 21.51/21.85 ((~![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(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 21.51/21.85 tff(15655,plain,
% 21.51/21.85 (m_main_v_state1(s193, c_t1)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15654, 760, 15559, 15648])).
% 21.51/21.85 tff(15656,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15657,plain,
% 21.51/21.85 ((~![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)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15658,plain,
% 21.51/21.85 ((~![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))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 21.51/21.85 tff(15659,plain,
% 21.51/21.85 (~m_main_v_state2(s192, c_t2)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15658, 173, 15624])).
% 21.51/21.85 tff(15660,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15661,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15662,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 21.51/21.85 tff(15663,plain,
% 21.51/21.85 (~node12(s192)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15662, 778, 15659])).
% 21.51/21.85 tff(15664,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15665,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15666,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192))),
% 21.51/21.85 inference(modus_ponens,[status(thm)],[15665, 15664])).
% 21.51/21.85 tff(15667,plain,
% 21.51/21.85 (~node11(s192)),
% 21.51/21.85 inference(unit_resolution,[status(thm)],[15666, 361, 15563])).
% 21.51/21.85 tff(15668,plain,
% 21.51/21.85 (((~![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)))),
% 21.51/21.85 inference(rewrite,[status(thm)],[])).
% 21.51/21.85 tff(15669,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 21.51/21.85 inference(quant_inst,[status(thm)],[])).
% 21.51/21.85 tff(15670,plain,
% 21.51/21.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 21.51/21.86 tff(15671,plain,
% 21.51/21.86 (~node10(s192)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15670, 793, 15596])).
% 21.51/21.86 tff(15672,plain,
% 21.51/21.86 (((~![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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15673,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15674,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 21.51/21.86 tff(15675,plain,
% 21.51/21.86 (~node9(s192)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15674, 804, 15563])).
% 21.51/21.86 tff(15676,plain,
% 21.51/21.86 (((~![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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15677,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15678,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15677, 15676])).
% 21.51/21.86 tff(15679,plain,
% 21.51/21.86 (~node8(s192)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15678, 383, 15628])).
% 21.51/21.86 tff(15680,plain,
% 21.51/21.86 (((~![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))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15681,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15682,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193)),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 21.51/21.86 tff(15683,plain,
% 21.51/21.86 (node14(s192, s193)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15682, 130, 15639])).
% 21.51/21.86 tff(15684,plain,
% 21.51/21.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15685,plain,
% 21.51/21.86 (((~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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15686,plain,
% 21.51/21.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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))))),
% 21.51/21.86 inference(monotonicity,[status(thm)],[15685])).
% 21.51/21.86 tff(15687,plain,
% 21.51/21.86 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(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)))),
% 21.51/21.86 inference(transitivity,[status(thm)],[15686, 15684])).
% 21.51/21.86 tff(15688,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15689,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 21.51/21.86 tff(15690,plain,
% 21.51/21.86 (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~m_main_v_state2(s192, c_c2))),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15689, 826, 15683])).
% 21.51/21.86 tff(15691,plain,
% 21.51/21.86 (m_main_v_state2(s193, c_n2)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15690, 15679, 15624, 15675, 15671, 15667, 15663])).
% 21.51/21.86 tff(15692,plain,
% 21.51/21.86 (((~![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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15693,plain,
% 21.51/21.86 ((~![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)))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15694,plain,
% 21.51/21.86 ((~![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))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15693, 15692])).
% 21.51/21.86 tff(15695,plain,
% 21.51/21.86 (~m_main_v_state2(s193, c_t2)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15694, 10, 15691])).
% 21.51/21.86 tff(15696,plain,
% 21.51/21.86 (((~![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)))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15697,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15698,plain,
% 21.51/21.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193))),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 21.51/21.86 tff(15699,plain,
% 21.51/21.86 (~node15(s193)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15698, 21, 15695])).
% 21.51/21.86 tff(15700,plain,
% 21.51/21.86 (succ(s193, s194) <=> succ(s193, s194)),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15701,axiom,(succ(s193, s194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound194')).
% 21.51/21.86 tff(15702,plain,
% 21.51/21.86 (succ(s193, s194)),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15701, 15700])).
% 21.51/21.86 tff(15703,plain,
% 21.51/21.86 (((~![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))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15704,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15705,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15704, 15703])).
% 21.51/21.86 tff(15706,plain,
% 21.51/21.86 (trans(s193, s194)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15705, 15702, 57])).
% 21.51/21.86 tff(15707,plain,
% 21.51/21.86 (((~![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))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15708,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15709,plain,
% 21.51/21.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194)),
% 21.51/21.86 inference(modus_ponens,[status(thm)],[15708, 15707])).
% 21.51/21.86 tff(15710,plain,
% 21.51/21.86 (node18(s193, s194)),
% 21.51/21.86 inference(unit_resolution,[status(thm)],[15709, 71, 15706])).
% 21.51/21.86 tff(15711,plain,
% 21.51/21.86 (((~![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(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))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15712,plain,
% 21.51/21.86 (((~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))),
% 21.51/21.86 inference(rewrite,[status(thm)],[])).
% 21.51/21.86 tff(15713,plain,
% 21.51/21.86 (((~![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(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)))),
% 21.51/21.86 inference(monotonicity,[status(thm)],[15712])).
% 21.51/21.86 tff(15714,plain,
% 21.51/21.86 (((~![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(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))),
% 21.51/21.86 inference(transitivity,[status(thm)],[15713, 15711])).
% 21.51/21.86 tff(15715,plain,
% 21.51/21.86 ((~![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(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))),
% 21.51/21.86 inference(quant_inst,[status(thm)],[])).
% 21.51/21.86 tff(15716,plain,
% 21.51/21.86 ((~![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(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)),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 21.51/21.87 tff(15717,plain,
% 21.51/21.87 (node15(s193) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15716, 863, 15710])).
% 21.51/21.87 tff(15718,plain,
% 21.51/21.87 (m_main_v_turn(s194, c_1)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15717, 15699, 15691, 15655])).
% 21.51/21.87 tff(15719,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15720,plain,
% 21.51/21.87 ((~![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)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15721,plain,
% 21.51/21.87 ((~![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))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15720, 15719])).
% 21.51/21.87 tff(15722,plain,
% 21.51/21.87 (~m_main_v_turn(s194, c_2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15721, 322, 15718])).
% 21.51/21.87 tff(15723,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15724,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15725,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15724, 15723])).
% 21.51/21.87 tff(15726,plain,
% 21.51/21.87 (~node12(s194)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15725, 350, 15722])).
% 21.51/21.87 tff(15727,plain,
% 21.51/21.87 (((~![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))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15728,plain,
% 21.51/21.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15729,plain,
% 21.51/21.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194)),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 21.51/21.87 tff(15730,plain,
% 21.51/21.87 (node14(s193, s194)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15729, 130, 15706])).
% 21.51/21.87 tff(15731,plain,
% 21.51/21.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(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))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15732,plain,
% 21.51/21.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15733,plain,
% 21.51/21.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2)),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15732, 15731])).
% 21.51/21.87 tff(15734,plain,
% 21.51/21.87 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state2(s194, c_t2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15733, 893, 15730])).
% 21.51/21.87 tff(15735,plain,
% 21.51/21.87 (m_main_v_state2(s194, c_t2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15734, 15655, 15691])).
% 21.51/21.87 tff(15736,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15737,plain,
% 21.51/21.87 ((~![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)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15738,plain,
% 21.51/21.87 ((~![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))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 21.51/21.87 tff(15739,plain,
% 21.51/21.87 (~m_main_v_state2(s194, c_n2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15738, 10, 15735])).
% 21.51/21.87 tff(15740,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15741,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15742,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 21.51/21.87 tff(15743,plain,
% 21.51/21.87 (~node8(s194)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15742, 383, 15739])).
% 21.51/21.87 tff(15744,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15745,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15746,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 21.51/21.87 tff(15747,plain,
% 21.51/21.87 (~node9(s194)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15746, 311, 15739])).
% 21.51/21.87 tff(15748,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15749,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15750,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 21.51/21.87 tff(15751,plain,
% 21.51/21.87 (~node10(s194)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15750, 372, 15739])).
% 21.51/21.87 tff(15752,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15753,plain,
% 21.51/21.87 ((~![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)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15754,plain,
% 21.51/21.87 ((~![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))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 21.51/21.87 tff(15755,plain,
% 21.51/21.87 (~m_main_v_state2(s194, c_c2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15754, 173, 15735])).
% 21.51/21.87 tff(15756,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15757,plain,
% 21.51/21.87 ((~![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)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15758,plain,
% 21.51/21.87 ((~![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))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 21.51/21.87 tff(15759,plain,
% 21.51/21.87 (~m_main_v_state2(s193, c_c2)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15758, 716, 15691])).
% 21.51/21.87 tff(15760,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15761,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15762,plain,
% 21.51/21.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15761, 15760])).
% 21.51/21.87 tff(15763,plain,
% 21.51/21.87 (~node3(s193)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15762, 184, 15759])).
% 21.51/21.87 tff(15764,plain,
% 21.51/21.87 (((~![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(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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15765,plain,
% 21.51/21.87 (((~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)))),
% 21.51/21.87 inference(rewrite,[status(thm)],[])).
% 21.51/21.87 tff(15766,plain,
% 21.51/21.87 (((~![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))))),
% 21.51/21.87 inference(monotonicity,[status(thm)],[15765])).
% 21.51/21.87 tff(15767,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.87 inference(transitivity,[status(thm)],[15766, 15764])).
% 21.51/21.87 tff(15768,plain,
% 21.51/21.87 ((~![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)))),
% 21.51/21.87 inference(quant_inst,[status(thm)],[])).
% 21.51/21.87 tff(15769,plain,
% 21.51/21.87 ((~![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(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))),
% 21.51/21.87 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 21.51/21.87 tff(15770,plain,
% 21.51/21.87 (~m_main_v_state1(s193, c_n1)),
% 21.51/21.87 inference(unit_resolution,[status(thm)],[15769, 936, 15563, 15648])).
% 21.51/21.87 tff(15771,plain,
% 21.51/21.87 (((~![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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15772,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15773,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 21.51/21.88 tff(15774,plain,
% 21.51/21.88 (~node2(s193)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15773, 652, 15770])).
% 21.51/21.88 tff(15775,plain,
% 21.51/21.88 (((~![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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15776,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15777,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 21.51/21.88 tff(15778,plain,
% 21.51/21.88 (~node1(s193)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15777, 206, 15695])).
% 21.51/21.88 tff(15779,plain,
% 21.51/21.88 (((~![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))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15780,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15781,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194)),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 21.51/21.88 tff(15782,plain,
% 21.51/21.88 (node7(s193, s194)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15781, 217, 15706])).
% 21.51/21.88 tff(15783,plain,
% 21.51/21.88 (((~![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(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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15784,plain,
% 21.51/21.88 (((~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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15785,plain,
% 21.51/21.88 (((~![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(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))))),
% 21.51/21.88 inference(monotonicity,[status(thm)],[15784])).
% 21.51/21.88 tff(15786,plain,
% 21.51/21.88 (((~![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(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)))),
% 21.51/21.88 inference(transitivity,[status(thm)],[15785, 15783])).
% 21.51/21.88 tff(15787,plain,
% 21.51/21.88 ((~![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(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))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15788,plain,
% 21.51/21.88 ((~![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(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))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 21.51/21.88 tff(15789,plain,
% 21.51/21.88 ((~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)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15788, 965, 15782])).
% 21.51/21.88 tff(15790,plain,
% 21.51/21.88 (m_main_v_state1(s194, c_c1)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15789, 15778, 15691, 15655, 15774, 15763])).
% 21.51/21.88 tff(15791,plain,
% 21.51/21.88 (((~![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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15792,plain,
% 21.51/21.88 ((~![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)))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15793,plain,
% 21.51/21.88 ((~![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))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15792, 15791])).
% 21.51/21.88 tff(15794,plain,
% 21.51/21.88 (~m_main_v_state1(s194, c_n1)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15793, 449, 15790])).
% 21.51/21.88 tff(15795,plain,
% 21.51/21.88 (((~![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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15796,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15797,plain,
% 21.51/21.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15796, 15795])).
% 21.51/21.88 tff(15798,plain,
% 21.51/21.88 (~node11(s194)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15797, 361, 15794])).
% 21.51/21.88 tff(15799,plain,
% 21.51/21.88 (succ(s194, s195) <=> succ(s194, s195)),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15800,axiom,(succ(s194, s195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound195')).
% 21.51/21.88 tff(15801,plain,
% 21.51/21.88 (succ(s194, s195)),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15800, 15799])).
% 21.51/21.88 tff(15802,plain,
% 21.51/21.88 (((~![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))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15803,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15804,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 21.51/21.88 tff(15805,plain,
% 21.51/21.88 (trans(s194, s195)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15804, 15801, 57])).
% 21.51/21.88 tff(15806,plain,
% 21.51/21.88 (((~![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))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15807,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15808,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195)),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15807, 15806])).
% 21.51/21.88 tff(15809,plain,
% 21.51/21.88 (node14(s194, s195)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15808, 130, 15805])).
% 21.51/21.88 tff(15810,plain,
% 21.51/21.88 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15811,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 21.51/21.88 inference(quant_inst,[status(thm)],[])).
% 21.51/21.88 tff(15812,plain,
% 21.51/21.88 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195))),
% 21.51/21.88 inference(modus_ponens,[status(thm)],[15811, 15810])).
% 21.51/21.88 tff(15813,plain,
% 21.51/21.88 (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15812, 401, 15809])).
% 21.51/21.88 tff(15814,plain,
% 21.51/21.88 (node13(s194, s195)),
% 21.51/21.88 inference(unit_resolution,[status(thm)],[15813, 15798, 15755, 15751, 15747, 15743, 15726])).
% 21.51/21.88 tff(15815,plain,
% 21.51/21.88 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15816,plain,
% 21.51/21.88 (((~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)))),
% 21.51/21.88 inference(rewrite,[status(thm)],[])).
% 21.51/21.88 tff(15817,plain,
% 21.51/21.88 (((~![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))))),
% 21.51/21.88 inference(monotonicity,[status(thm)],[15816])).
% 21.51/21.88 tff(15818,plain,
% 21.51/21.88 (((~![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)))),
% 21.51/21.89 inference(transitivity,[status(thm)],[15817, 15815])).
% 21.51/21.89 tff(15819,plain,
% 21.51/21.89 ((~![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)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15820,plain,
% 21.51/21.89 ((~![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(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 21.51/21.89 tff(15821,plain,
% 21.51/21.89 (~m_main_v_state2(s195, c_n2)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15820, 416, 15739, 15814])).
% 21.51/21.89 tff(15822,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15823,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15824,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15823, 15822])).
% 21.51/21.89 tff(15825,plain,
% 21.51/21.89 (~node9(s195)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15824, 311, 15821])).
% 21.51/21.89 tff(15826,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15827,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15828,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 21.51/21.89 tff(15829,plain,
% 21.51/21.89 (~node10(s195)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15828, 372, 15821])).
% 21.51/21.89 tff(15830,plain,
% 21.51/21.89 (((~![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(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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15831,plain,
% 21.51/21.89 (((~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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15832,plain,
% 21.51/21.89 (((~![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))))),
% 21.51/21.89 inference(monotonicity,[status(thm)],[15831])).
% 21.51/21.89 tff(15833,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(transitivity,[status(thm)],[15832, 15830])).
% 21.51/21.89 tff(15834,plain,
% 21.51/21.89 ((~![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))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15835,plain,
% 21.51/21.89 ((~![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(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15834, 15833])).
% 21.51/21.89 tff(15836,plain,
% 21.51/21.89 (m_main_v_state2(s195, c_t2)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15835, 563, 15735, 15814])).
% 21.51/21.89 tff(15837,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15838,plain,
% 21.51/21.89 ((~![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)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15839,plain,
% 21.51/21.89 ((~![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))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15838, 15837])).
% 21.51/21.89 tff(15840,plain,
% 21.51/21.89 (~m_main_v_state1(s194, c_t1)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15839, 289, 15790])).
% 21.51/21.89 tff(15841,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15842,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15843,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15842, 15841])).
% 21.51/21.89 tff(15844,plain,
% 21.51/21.89 (~node5(s194)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15843, 300, 15840])).
% 21.51/21.89 tff(15845,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15846,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15847,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15846, 15845])).
% 21.51/21.89 tff(15848,plain,
% 21.51/21.89 (~node4(s194)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15847, 162, 15739])).
% 21.51/21.89 tff(15849,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15850,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15851,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15850, 15849])).
% 21.51/21.89 tff(15852,plain,
% 21.51/21.89 (~node3(s194)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15851, 184, 15755])).
% 21.51/21.89 tff(15853,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15854,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15855,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15854, 15853])).
% 21.51/21.89 tff(15856,plain,
% 21.51/21.89 (~node2(s194)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15855, 195, 15739])).
% 21.51/21.89 tff(15857,plain,
% 21.51/21.89 (((~![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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15858,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15859,plain,
% 21.51/21.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194))),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15858, 15857])).
% 21.51/21.89 tff(15860,plain,
% 21.51/21.89 (~node1(s194)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15859, 249, 15794])).
% 21.51/21.89 tff(15861,plain,
% 21.51/21.89 (((~![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))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15862,plain,
% 21.51/21.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))),
% 21.51/21.89 inference(quant_inst,[status(thm)],[])).
% 21.51/21.89 tff(15863,plain,
% 21.51/21.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195)),
% 21.51/21.89 inference(modus_ponens,[status(thm)],[15862, 15861])).
% 21.51/21.89 tff(15864,plain,
% 21.51/21.89 (node7(s194, s195)),
% 21.51/21.89 inference(unit_resolution,[status(thm)],[15863, 217, 15805])).
% 21.51/21.89 tff(15865,plain,
% 21.51/21.89 (((~![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(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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15866,plain,
% 21.51/21.89 (((~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)))),
% 21.51/21.89 inference(rewrite,[status(thm)],[])).
% 21.51/21.89 tff(15867,plain,
% 21.51/21.89 (((~![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(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))))),
% 21.51/21.89 inference(monotonicity,[status(thm)],[15866])).
% 21.51/21.89 tff(15868,plain,
% 21.51/21.89 (((~![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(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)))),
% 21.51/21.90 inference(transitivity,[status(thm)],[15867, 15865])).
% 21.51/21.90 tff(15869,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15870,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 21.51/21.90 tff(15871,plain,
% 21.51/21.90 (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15870, 478, 15864])).
% 21.51/21.90 tff(15872,plain,
% 21.51/21.90 (m_main_v_state1(s195, c_n1)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15871, 15860, 15790, 15856, 15852, 15848, 15844])).
% 21.51/21.90 tff(15873,plain,
% 21.51/21.90 (((~![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)))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15874,plain,
% 21.51/21.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15875,plain,
% 21.51/21.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195))),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 21.51/21.90 tff(15876,plain,
% 21.51/21.90 (~node8(s195)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15875, 383, 15821])).
% 21.51/21.90 tff(15877,plain,
% 21.51/21.90 (succ(s195, s196) <=> succ(s195, s196)),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15878,axiom,(succ(s195, s196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound196')).
% 21.51/21.90 tff(15879,plain,
% 21.51/21.90 (succ(s195, s196)),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 21.51/21.90 tff(15880,plain,
% 21.51/21.90 (((~![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))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15881,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15882,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15881, 15880])).
% 21.51/21.90 tff(15883,plain,
% 21.51/21.90 (trans(s195, s196)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15882, 15879, 57])).
% 21.51/21.90 tff(15884,plain,
% 21.51/21.90 (((~![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))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15885,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15886,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196)),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15885, 15884])).
% 21.51/21.90 tff(15887,plain,
% 21.51/21.90 (node14(s195, s196)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15886, 130, 15883])).
% 21.51/21.90 tff(15888,plain,
% 21.51/21.90 (((~![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(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))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15889,plain,
% 21.51/21.90 ((~![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(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))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15890,plain,
% 21.51/21.90 ((~![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(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)),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 21.51/21.90 tff(15891,plain,
% 21.51/21.90 ((~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)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15890, 704, 15887])).
% 21.51/21.90 tff(15892,plain,
% 21.51/21.90 (m_main_v_state2(s196, c_c2)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15891, 15876, 15872, 15836, 15829, 15825])).
% 21.51/21.90 tff(15893,plain,
% 21.51/21.90 (((~![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)))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15894,plain,
% 21.51/21.90 ((~![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)))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15895,plain,
% 21.51/21.90 ((~![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))),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 21.51/21.90 tff(15896,plain,
% 21.51/21.90 (~m_main_v_state2(s196, c_t2)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15895, 173, 15892])).
% 21.51/21.90 tff(15897,plain,
% 21.51/21.90 (((~![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)))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15898,plain,
% 21.51/21.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15899,plain,
% 21.51/21.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196))),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 21.51/21.90 tff(15900,plain,
% 21.51/21.90 (~node12(s196)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15899, 778, 15896])).
% 21.51/21.90 tff(15901,plain,
% 21.51/21.90 (((~![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))),
% 21.51/21.90 inference(rewrite,[status(thm)],[])).
% 21.51/21.90 tff(15902,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))),
% 21.51/21.90 inference(quant_inst,[status(thm)],[])).
% 21.51/21.90 tff(15903,plain,
% 21.51/21.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196)),
% 21.51/21.90 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 21.51/21.90 tff(15904,plain,
% 21.51/21.90 (node7(s195, s196)),
% 21.51/21.90 inference(unit_resolution,[status(thm)],[15903, 217, 15883])).
% 21.51/21.90 tff(15905,plain,
% 21.51/21.90 (((~![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(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))),
% 21.59/21.90 inference(rewrite,[status(thm)],[])).
% 21.59/21.90 tff(15906,plain,
% 21.59/21.90 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))),
% 21.59/21.90 inference(quant_inst,[status(thm)],[])).
% 21.59/21.90 tff(15907,plain,
% 21.59/21.90 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1)),
% 21.59/21.90 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 21.59/21.90 tff(15908,plain,
% 21.59/21.90 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_state1(s196, c_t1)),
% 21.59/21.90 inference(unit_resolution,[status(thm)],[15907, 598, 15904])).
% 21.59/21.90 tff(15909,plain,
% 21.59/21.90 (m_main_v_state1(s196, c_t1)),
% 21.59/21.90 inference(unit_resolution,[status(thm)],[15908, 15836, 15872])).
% 21.59/21.90 tff(15910,plain,
% 21.59/21.90 (((~![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)))),
% 21.59/21.90 inference(rewrite,[status(thm)],[])).
% 21.59/21.90 tff(15911,plain,
% 21.59/21.90 ((~![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)))),
% 21.59/21.90 inference(quant_inst,[status(thm)],[])).
% 21.59/21.90 tff(15912,plain,
% 21.59/21.90 ((~![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))),
% 21.59/21.90 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 21.59/21.90 tff(15913,plain,
% 21.59/21.90 (~m_main_v_state1(s196, c_n1)),
% 21.59/21.90 inference(unit_resolution,[status(thm)],[15912, 35, 15909])).
% 21.59/21.90 tff(15914,plain,
% 21.59/21.90 (((~![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)))),
% 21.59/21.90 inference(rewrite,[status(thm)],[])).
% 21.59/21.90 tff(15915,plain,
% 21.59/21.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 21.59/21.90 inference(quant_inst,[status(thm)],[])).
% 21.59/21.90 tff(15916,plain,
% 21.59/21.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196))),
% 21.59/21.90 inference(modus_ponens,[status(thm)],[15915, 15914])).
% 21.59/21.90 tff(15917,plain,
% 21.59/21.90 (~node11(s196)),
% 21.59/21.90 inference(unit_resolution,[status(thm)],[15916, 361, 15913])).
% 21.59/21.90 tff(15918,plain,
% 21.59/21.90 (((~![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)))),
% 21.59/21.90 inference(rewrite,[status(thm)],[])).
% 21.59/21.90 tff(15919,plain,
% 21.59/21.90 ((~![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)))),
% 21.59/21.90 inference(quant_inst,[status(thm)],[])).
% 21.59/21.90 tff(15920,plain,
% 21.59/21.90 ((~![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))),
% 21.59/21.90 inference(modus_ponens,[status(thm)],[15919, 15918])).
% 21.59/21.90 tff(15921,plain,
% 21.59/21.90 (~m_main_v_state1(s196, c_c1)),
% 21.59/21.90 inference(unit_resolution,[status(thm)],[15920, 289, 15909])).
% 21.59/21.90 tff(15922,plain,
% 21.59/21.90 (((~![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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15923,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15924,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 21.59/21.91 tff(15925,plain,
% 21.59/21.91 (~node10(s196)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15924, 793, 15921])).
% 21.59/21.91 tff(15926,plain,
% 21.59/21.91 (((~![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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15927,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15928,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15927, 15926])).
% 21.59/21.91 tff(15929,plain,
% 21.59/21.91 (~node9(s196)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15928, 804, 15913])).
% 21.59/21.91 tff(15930,plain,
% 21.59/21.91 (((~![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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15931,plain,
% 21.59/21.91 ((~![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)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15932,plain,
% 21.59/21.91 ((~![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))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 21.59/21.91 tff(15933,plain,
% 21.59/21.91 (~m_main_v_state2(s196, c_n2)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15932, 716, 15892])).
% 21.59/21.91 tff(15934,plain,
% 21.59/21.91 (((~![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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15935,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15936,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 21.59/21.91 tff(15937,plain,
% 21.59/21.91 (~node8(s196)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15936, 383, 15933])).
% 21.59/21.91 tff(15938,plain,
% 21.59/21.91 (succ(s196, s197) <=> succ(s196, s197)),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15939,axiom,(succ(s196, s197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound197')).
% 21.59/21.91 tff(15940,plain,
% 21.59/21.91 (succ(s196, s197)),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15939, 15938])).
% 21.59/21.91 tff(15941,plain,
% 21.59/21.91 (((~![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))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15942,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15943,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15942, 15941])).
% 21.59/21.91 tff(15944,plain,
% 21.59/21.91 (trans(s196, s197)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15943, 15940, 57])).
% 21.59/21.91 tff(15945,plain,
% 21.59/21.91 (((~![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))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15946,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15947,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197)),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 21.59/21.91 tff(15948,plain,
% 21.59/21.91 (node14(s196, s197)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15947, 130, 15944])).
% 21.59/21.91 tff(15949,plain,
% 21.59/21.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15950,plain,
% 21.59/21.91 (((~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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15951,plain,
% 21.59/21.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 21.59/21.91 inference(monotonicity,[status(thm)],[15950])).
% 21.59/21.91 tff(15952,plain,
% 21.59/21.91 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 21.59/21.91 inference(transitivity,[status(thm)],[15951, 15949])).
% 21.59/21.91 tff(15953,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15954,plain,
% 21.59/21.91 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15953, 15952])).
% 21.59/21.91 tff(15955,plain,
% 21.59/21.91 (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~m_main_v_state2(s196, c_c2))),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15954, 826, 15948])).
% 21.59/21.91 tff(15956,plain,
% 21.59/21.91 (m_main_v_state2(s197, c_n2)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15955, 15937, 15892, 15929, 15925, 15917, 15900])).
% 21.59/21.91 tff(15957,plain,
% 21.59/21.91 (((~![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)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15958,plain,
% 21.59/21.91 ((~![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)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15959,plain,
% 21.59/21.91 ((~![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))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 21.59/21.91 tff(15960,plain,
% 21.59/21.91 (~m_main_v_state2(s197, c_t2)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15959, 10, 15956])).
% 21.59/21.91 tff(15961,plain,
% 21.59/21.91 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node26(X))) <=> (m_main_v_state2(X, c_t2) | (~node26(X))))),
% 21.59/21.91 inference(bind,[status(th)],[])).
% 21.59/21.91 tff(15962,plain,
% 21.59/21.91 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 21.59/21.91 inference(quant_intro,[status(thm)],[15961])).
% 21.59/21.91 tff(15963,plain,
% 21.59/21.91 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15964,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty17')).
% 21.59/21.91 tff(15965,plain,
% 21.59/21.91 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 21.59/21.91 tff(15966,plain,(
% 21.59/21.91 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 21.59/21.91 inference(skolemize,[status(sab)],[15965])).
% 21.59/21.91 tff(15967,plain,
% 21.59/21.91 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15966, 15962])).
% 21.59/21.91 tff(15968,plain,
% 21.59/21.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s197, c_t2) | (~node26(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s197, c_t2) | (~node26(s197)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15969,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s197, c_t2) | (~node26(s197)))),
% 21.59/21.91 inference(quant_inst,[status(thm)],[])).
% 21.59/21.91 tff(15970,plain,
% 21.59/21.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s197, c_t2) | (~node26(s197))),
% 21.59/21.91 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 21.59/21.91 tff(15971,plain,
% 21.59/21.91 (~node26(s197)),
% 21.59/21.91 inference(unit_resolution,[status(thm)],[15970, 15967, 15960])).
% 21.59/21.91 tff(15972,plain,
% 21.59/21.91 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s196)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15973,plain,
% 21.59/21.91 (((~m_main_v_state2(s196, c_c2)) | (~always25(s196))) <=> ((~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 21.59/21.91 inference(rewrite,[status(thm)],[])).
% 21.59/21.91 tff(15974,plain,
% 21.59/21.91 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s196)) | (~m_main_v_state2(s196, c_c2))))),
% 21.59/21.91 inference(monotonicity,[status(thm)],[15973])).
% 21.59/21.91 tff(15975,plain,
% 21.59/21.91 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 21.59/21.91 inference(transitivity,[status(thm)],[15974, 15972])).
% 21.59/21.92 tff(15976,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15977,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15976, 15975])).
% 21.59/21.92 tff(15978,plain,
% 21.59/21.92 (~always25(s196)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15977, 6106, 15892])).
% 21.59/21.92 tff(15979,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s195, s196)) | (~always25(s195)) | always25(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s195, s196)) | (~always25(s195)) | always25(s196))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(15980,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s195, s196)) | (~always25(s195)) | always25(s196))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15981,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s195, s196)) | (~always25(s195)) | always25(s196)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 21.59/21.92 tff(15982,plain,
% 21.59/21.92 ((~always25(s195)) | always25(s196)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15981, 6146, 15883])).
% 21.59/21.92 tff(15983,plain,
% 21.59/21.92 (~always25(s195)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15982, 15978])).
% 21.59/21.92 tff(15984,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(15985,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15986,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 21.59/21.92 tff(15987,plain,
% 21.59/21.92 (~node26(s195)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15986, 6122, 15983])).
% 21.59/21.92 tff(15988,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s194, s195)) | (~always25(s194)) | always25(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s194, s195)) | (~always25(s194)) | always25(s195))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(15989,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s194, s195)) | (~always25(s194)) | always25(s195))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15990,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s194, s195)) | (~always25(s194)) | always25(s195)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 21.59/21.92 tff(15991,plain,
% 21.59/21.92 ((~always25(s194)) | always25(s195)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15990, 6146, 15805])).
% 21.59/21.92 tff(15992,plain,
% 21.59/21.92 (~always25(s194)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15991, 15983])).
% 21.59/21.92 tff(15993,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(15994,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15995,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 21.59/21.92 tff(15996,plain,
% 21.59/21.92 (~node26(s194)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15995, 6122, 15992])).
% 21.59/21.92 tff(15997,plain,
% 21.59/21.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s193, c_t2) | (~node26(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s193, c_t2) | (~node26(s193)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(15998,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s193, c_t2) | (~node26(s193)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(15999,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s193, c_t2) | (~node26(s193))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[15998, 15997])).
% 21.59/21.92 tff(16000,plain,
% 21.59/21.92 (~node26(s193)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[15999, 15967, 15695])).
% 21.59/21.92 tff(16001,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s192)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16002,plain,
% 21.59/21.92 (((~m_main_v_state2(s192, c_c2)) | (~always25(s192))) <=> ((~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16003,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s192)) | (~m_main_v_state2(s192, c_c2))))),
% 21.59/21.92 inference(monotonicity,[status(thm)],[16002])).
% 21.59/21.92 tff(16004,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 21.59/21.92 inference(transitivity,[status(thm)],[16003, 16001])).
% 21.59/21.92 tff(16005,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16006,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16005, 16004])).
% 21.59/21.92 tff(16007,plain,
% 21.59/21.92 (~always25(s192)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16006, 6106, 15624])).
% 21.59/21.92 tff(16008,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s191, s192)) | (~always25(s191)) | always25(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s191, s192)) | (~always25(s191)) | always25(s192))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16009,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s191, s192)) | (~always25(s191)) | always25(s192))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16010,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s191, s192)) | (~always25(s191)) | always25(s192)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16009, 16008])).
% 21.59/21.92 tff(16011,plain,
% 21.59/21.92 ((~always25(s191)) | always25(s192)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16010, 6146, 15550])).
% 21.59/21.92 tff(16012,plain,
% 21.59/21.92 (~always25(s191)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16011, 16007])).
% 21.59/21.92 tff(16013,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16014,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16015,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16014, 16013])).
% 21.59/21.92 tff(16016,plain,
% 21.59/21.92 (~node26(s191)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16015, 6122, 16012])).
% 21.59/21.92 tff(16017,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s190, s191)) | (~always25(s190)) | always25(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s190, s191)) | (~always25(s190)) | always25(s191))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16018,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s190, s191)) | (~always25(s190)) | always25(s191))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16019,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s190, s191)) | (~always25(s190)) | always25(s191)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 21.59/21.92 tff(16020,plain,
% 21.59/21.92 ((~always25(s190)) | always25(s191)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16019, 6146, 15475])).
% 21.59/21.92 tff(16021,plain,
% 21.59/21.92 (~always25(s190)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16020, 16012])).
% 21.59/21.92 tff(16022,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16023,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16024,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 21.59/21.92 tff(16025,plain,
% 21.59/21.92 (~node26(s190)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16024, 6122, 16021])).
% 21.59/21.92 tff(16026,plain,
% 21.59/21.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s189, c_t2) | (~node26(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s189, c_t2) | (~node26(s189)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16027,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s189, c_t2) | (~node26(s189)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16028,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s189, c_t2) | (~node26(s189))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 21.59/21.92 tff(16029,plain,
% 21.59/21.92 (~node26(s189)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16028, 15967, 15400])).
% 21.59/21.92 tff(16030,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s188)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16031,plain,
% 21.59/21.92 (((~m_main_v_state2(s188, c_c2)) | (~always25(s188))) <=> ((~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16032,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s188)) | (~m_main_v_state2(s188, c_c2))))),
% 21.59/21.92 inference(monotonicity,[status(thm)],[16031])).
% 21.59/21.92 tff(16033,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 21.59/21.92 inference(transitivity,[status(thm)],[16032, 16030])).
% 21.59/21.92 tff(16034,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16035,plain,
% 21.59/21.92 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 21.59/21.92 tff(16036,plain,
% 21.59/21.92 (~always25(s188)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16035, 6106, 15264])).
% 21.59/21.92 tff(16037,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s187, s188)) | (~always25(s187)) | always25(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s187, s188)) | (~always25(s187)) | always25(s188))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16038,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s187, s188)) | (~always25(s187)) | always25(s188))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16039,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s187, s188)) | (~always25(s187)) | always25(s188)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 21.59/21.92 tff(16040,plain,
% 21.59/21.92 ((~always25(s187)) | always25(s188)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16039, 6146, 15255])).
% 21.59/21.92 tff(16041,plain,
% 21.59/21.92 (~always25(s187)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16040, 16036])).
% 21.59/21.92 tff(16042,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16043,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16044,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 21.59/21.92 tff(16045,plain,
% 21.59/21.92 (~node26(s187)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16044, 6122, 16041])).
% 21.59/21.92 tff(16046,plain,
% 21.59/21.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s186, s187)) | (~always25(s186)) | always25(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s186, s187)) | (~always25(s186)) | always25(s187))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16047,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s186, s187)) | (~always25(s186)) | always25(s187))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16048,plain,
% 21.59/21.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s186, s187)) | (~always25(s186)) | always25(s187)),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 21.59/21.92 tff(16049,plain,
% 21.59/21.92 ((~always25(s186)) | always25(s187)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16048, 6146, 15177])).
% 21.59/21.92 tff(16050,plain,
% 21.59/21.92 (~always25(s186)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16049, 16041])).
% 21.59/21.92 tff(16051,plain,
% 21.59/21.92 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16052,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16053,plain,
% 21.59/21.92 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 21.59/21.92 tff(16054,plain,
% 21.59/21.92 (~node26(s186)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16053, 6122, 16050])).
% 21.59/21.92 tff(16055,plain,
% 21.59/21.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s185, c_t2) | (~node26(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s185, c_t2) | (~node26(s185)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16056,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s185, c_t2) | (~node26(s185)))),
% 21.59/21.92 inference(quant_inst,[status(thm)],[])).
% 21.59/21.92 tff(16057,plain,
% 21.59/21.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s185, c_t2) | (~node26(s185))),
% 21.59/21.92 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 21.59/21.92 tff(16058,plain,
% 21.59/21.92 (~node26(s185)),
% 21.59/21.92 inference(unit_resolution,[status(thm)],[16057, 15967, 15067])).
% 21.59/21.92 tff(16059,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s184)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16060,plain,
% 21.59/21.92 (((~m_main_v_state2(s184, c_c2)) | (~always25(s184))) <=> ((~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 21.59/21.92 inference(rewrite,[status(thm)],[])).
% 21.59/21.92 tff(16061,plain,
% 21.59/21.92 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s184)) | (~m_main_v_state2(s184, c_c2))))),
% 21.59/21.93 inference(monotonicity,[status(thm)],[16060])).
% 21.59/21.93 tff(16062,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 21.59/21.93 inference(transitivity,[status(thm)],[16061, 16059])).
% 21.59/21.93 tff(16063,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16064,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 21.59/21.93 tff(16065,plain,
% 21.59/21.93 (~always25(s184)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16064, 6106, 14996])).
% 21.59/21.93 tff(16066,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s183, s184)) | (~always25(s183)) | always25(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s183, s184)) | (~always25(s183)) | always25(s184))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16067,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s183, s184)) | (~always25(s183)) | always25(s184))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16068,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s183, s184)) | (~always25(s183)) | always25(s184)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 21.59/21.93 tff(16069,plain,
% 21.59/21.93 ((~always25(s183)) | always25(s184)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16068, 6146, 14922])).
% 21.59/21.93 tff(16070,plain,
% 21.59/21.93 (~always25(s183)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16069, 16065])).
% 21.59/21.93 tff(16071,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16072,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16073,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 21.59/21.93 tff(16074,plain,
% 21.59/21.93 (~node26(s183)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16073, 6122, 16070])).
% 21.59/21.93 tff(16075,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s182, s183)) | (~always25(s182)) | always25(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s182, s183)) | (~always25(s182)) | always25(s183))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16076,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s182, s183)) | (~always25(s182)) | always25(s183))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16077,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s182, s183)) | (~always25(s182)) | always25(s183)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 21.59/21.93 tff(16078,plain,
% 21.59/21.93 ((~always25(s182)) | always25(s183)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16077, 6146, 14847])).
% 21.59/21.93 tff(16079,plain,
% 21.59/21.93 (~always25(s182)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16078, 16070])).
% 21.59/21.93 tff(16080,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16081,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16082,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 21.59/21.93 tff(16083,plain,
% 21.59/21.93 (~node26(s182)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16082, 6122, 16079])).
% 21.59/21.93 tff(16084,plain,
% 21.59/21.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s181, c_t2) | (~node26(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s181, c_t2) | (~node26(s181)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16085,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s181, c_t2) | (~node26(s181)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16086,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s181, c_t2) | (~node26(s181))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 21.59/21.93 tff(16087,plain,
% 21.59/21.93 (~node26(s181)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16086, 15967, 14772])).
% 21.59/21.93 tff(16088,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s180)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16089,plain,
% 21.59/21.93 (((~m_main_v_state2(s180, c_c2)) | (~always25(s180))) <=> ((~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16090,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s180)) | (~m_main_v_state2(s180, c_c2))))),
% 21.59/21.93 inference(monotonicity,[status(thm)],[16089])).
% 21.59/21.93 tff(16091,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 21.59/21.93 inference(transitivity,[status(thm)],[16090, 16088])).
% 21.59/21.93 tff(16092,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16093,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 21.59/21.93 tff(16094,plain,
% 21.59/21.93 (~always25(s180)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16093, 6106, 14636])).
% 21.59/21.93 tff(16095,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s179, s180)) | (~always25(s179)) | always25(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s179, s180)) | (~always25(s179)) | always25(s180))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16096,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s179, s180)) | (~always25(s179)) | always25(s180))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16097,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s179, s180)) | (~always25(s179)) | always25(s180)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16096, 16095])).
% 21.59/21.93 tff(16098,plain,
% 21.59/21.93 ((~always25(s179)) | always25(s180)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16097, 6146, 14627])).
% 21.59/21.93 tff(16099,plain,
% 21.59/21.93 (~always25(s179)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16098, 16094])).
% 21.59/21.93 tff(16100,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16101,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16102,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16101, 16100])).
% 21.59/21.93 tff(16103,plain,
% 21.59/21.93 (~node26(s179)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16102, 6122, 16099])).
% 21.59/21.93 tff(16104,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s178, s179)) | (~always25(s178)) | always25(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s178, s179)) | (~always25(s178)) | always25(s179))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16105,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s178, s179)) | (~always25(s178)) | always25(s179))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16106,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s178, s179)) | (~always25(s178)) | always25(s179)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16105, 16104])).
% 21.59/21.93 tff(16107,plain,
% 21.59/21.93 ((~always25(s178)) | always25(s179)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16106, 6146, 14549])).
% 21.59/21.93 tff(16108,plain,
% 21.59/21.93 (~always25(s178)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16107, 16099])).
% 21.59/21.93 tff(16109,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16110,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16111,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 21.59/21.93 tff(16112,plain,
% 21.59/21.93 (~node26(s178)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16111, 6122, 16108])).
% 21.59/21.93 tff(16113,plain,
% 21.59/21.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s177, c_t2) | (~node26(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s177, c_t2) | (~node26(s177)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16114,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s177, c_t2) | (~node26(s177)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16115,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s177, c_t2) | (~node26(s177))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 21.59/21.93 tff(16116,plain,
% 21.59/21.93 (~node26(s177)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16115, 15967, 14439])).
% 21.59/21.93 tff(16117,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s176)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16118,plain,
% 21.59/21.93 (((~m_main_v_state2(s176, c_c2)) | (~always25(s176))) <=> ((~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16119,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s176)) | (~m_main_v_state2(s176, c_c2))))),
% 21.59/21.93 inference(monotonicity,[status(thm)],[16118])).
% 21.59/21.93 tff(16120,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 21.59/21.93 inference(transitivity,[status(thm)],[16119, 16117])).
% 21.59/21.93 tff(16121,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16122,plain,
% 21.59/21.93 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 21.59/21.93 tff(16123,plain,
% 21.59/21.93 (~always25(s176)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16122, 6106, 14368])).
% 21.59/21.93 tff(16124,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s175, s176)) | (~always25(s175)) | always25(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s175, s176)) | (~always25(s175)) | always25(s176))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16125,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s175, s176)) | (~always25(s175)) | always25(s176))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16126,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s175, s176)) | (~always25(s175)) | always25(s176)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 21.59/21.93 tff(16127,plain,
% 21.59/21.93 ((~always25(s175)) | always25(s176)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16126, 6146, 14294])).
% 21.59/21.93 tff(16128,plain,
% 21.59/21.93 (~always25(s175)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16127, 16123])).
% 21.59/21.93 tff(16129,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16130,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16131,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 21.59/21.93 tff(16132,plain,
% 21.59/21.93 (~node26(s175)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16131, 6122, 16128])).
% 21.59/21.93 tff(16133,plain,
% 21.59/21.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s174, s175)) | (~always25(s174)) | always25(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s174, s175)) | (~always25(s174)) | always25(s175))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16134,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s174, s175)) | (~always25(s174)) | always25(s175))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16135,plain,
% 21.59/21.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s174, s175)) | (~always25(s174)) | always25(s175)),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 21.59/21.93 tff(16136,plain,
% 21.59/21.93 ((~always25(s174)) | always25(s175)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16135, 6146, 14219])).
% 21.59/21.93 tff(16137,plain,
% 21.59/21.93 (~always25(s174)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16136, 16128])).
% 21.59/21.93 tff(16138,plain,
% 21.59/21.93 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16139,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16140,plain,
% 21.59/21.93 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 21.59/21.93 tff(16141,plain,
% 21.59/21.93 (~node26(s174)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16140, 6122, 16137])).
% 21.59/21.93 tff(16142,plain,
% 21.59/21.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s173, c_t2) | (~node26(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s173, c_t2) | (~node26(s173)))),
% 21.59/21.93 inference(rewrite,[status(thm)],[])).
% 21.59/21.93 tff(16143,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s173, c_t2) | (~node26(s173)))),
% 21.59/21.93 inference(quant_inst,[status(thm)],[])).
% 21.59/21.93 tff(16144,plain,
% 21.59/21.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s173, c_t2) | (~node26(s173))),
% 21.59/21.93 inference(modus_ponens,[status(thm)],[16143, 16142])).
% 21.59/21.93 tff(16145,plain,
% 21.59/21.93 (~node26(s173)),
% 21.59/21.93 inference(unit_resolution,[status(thm)],[16144, 15967, 14144])).
% 21.59/21.93 tff(16146,plain,
% 21.59/21.93 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s172)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16147,plain,
% 21.59/21.94 (((~m_main_v_state2(s172, c_c2)) | (~always25(s172))) <=> ((~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16148,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s172)) | (~m_main_v_state2(s172, c_c2))))),
% 21.59/21.94 inference(monotonicity,[status(thm)],[16147])).
% 21.59/21.94 tff(16149,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 21.59/21.94 inference(transitivity,[status(thm)],[16148, 16146])).
% 21.59/21.94 tff(16150,plain,
% 21.59/21.94 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16151,plain,
% 21.59/21.94 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 21.59/21.94 tff(16152,plain,
% 21.59/21.94 (~always25(s172)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16151, 6106, 14008])).
% 21.59/21.94 tff(16153,plain,
% 21.59/21.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s171, s172)) | (~always25(s171)) | always25(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s171, s172)) | (~always25(s171)) | always25(s172))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16154,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s171, s172)) | (~always25(s171)) | always25(s172))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16155,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s171, s172)) | (~always25(s171)) | always25(s172)),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 21.59/21.94 tff(16156,plain,
% 21.59/21.94 ((~always25(s171)) | always25(s172)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16155, 6146, 13999])).
% 21.59/21.94 tff(16157,plain,
% 21.59/21.94 (~always25(s171)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16156, 16152])).
% 21.59/21.94 tff(16158,plain,
% 21.59/21.94 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16159,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16160,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 21.59/21.94 tff(16161,plain,
% 21.59/21.94 (~node26(s171)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16160, 6122, 16157])).
% 21.59/21.94 tff(16162,plain,
% 21.59/21.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s170, s171)) | (~always25(s170)) | always25(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s170, s171)) | (~always25(s170)) | always25(s171))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16163,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s170, s171)) | (~always25(s170)) | always25(s171))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16164,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s170, s171)) | (~always25(s170)) | always25(s171)),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 21.59/21.94 tff(16165,plain,
% 21.59/21.94 ((~always25(s170)) | always25(s171)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16164, 6146, 13921])).
% 21.59/21.94 tff(16166,plain,
% 21.59/21.94 (~always25(s170)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16165, 16157])).
% 21.59/21.94 tff(16167,plain,
% 21.59/21.94 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16168,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16169,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16168, 16167])).
% 21.59/21.94 tff(16170,plain,
% 21.59/21.94 (~node26(s170)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16169, 6122, 16166])).
% 21.59/21.94 tff(16171,plain,
% 21.59/21.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s169, c_t2) | (~node26(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s169, c_t2) | (~node26(s169)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16172,plain,
% 21.59/21.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s169, c_t2) | (~node26(s169)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16173,plain,
% 21.59/21.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s169, c_t2) | (~node26(s169))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 21.59/21.94 tff(16174,plain,
% 21.59/21.94 (~node26(s169)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16173, 15967, 13811])).
% 21.59/21.94 tff(16175,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s168)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16176,plain,
% 21.59/21.94 (((~m_main_v_state2(s168, c_c2)) | (~always25(s168))) <=> ((~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16177,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s168)) | (~m_main_v_state2(s168, c_c2))))),
% 21.59/21.94 inference(monotonicity,[status(thm)],[16176])).
% 21.59/21.94 tff(16178,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 21.59/21.94 inference(transitivity,[status(thm)],[16177, 16175])).
% 21.59/21.94 tff(16179,plain,
% 21.59/21.94 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16180,plain,
% 21.59/21.94 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16179, 16178])).
% 21.59/21.94 tff(16181,plain,
% 21.59/21.94 (~always25(s168)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16180, 6106, 13740])).
% 21.59/21.94 tff(16182,plain,
% 21.59/21.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s167, s168)) | (~always25(s167)) | always25(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s167, s168)) | (~always25(s167)) | always25(s168))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16183,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s167, s168)) | (~always25(s167)) | always25(s168))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16184,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s167, s168)) | (~always25(s167)) | always25(s168)),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16183, 16182])).
% 21.59/21.94 tff(16185,plain,
% 21.59/21.94 ((~always25(s167)) | always25(s168)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16184, 6146, 13666])).
% 21.59/21.94 tff(16186,plain,
% 21.59/21.94 (~always25(s167)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16185, 16181])).
% 21.59/21.94 tff(16187,plain,
% 21.59/21.94 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16188,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16189,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 21.59/21.94 tff(16190,plain,
% 21.59/21.94 (~node26(s167)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16189, 6122, 16186])).
% 21.59/21.94 tff(16191,plain,
% 21.59/21.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s166, s167)) | (~always25(s166)) | always25(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s166, s167)) | (~always25(s166)) | always25(s167))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16192,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s166, s167)) | (~always25(s166)) | always25(s167))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16193,plain,
% 21.59/21.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s166, s167)) | (~always25(s166)) | always25(s167)),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 21.59/21.94 tff(16194,plain,
% 21.59/21.94 ((~always25(s166)) | always25(s167)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16193, 6146, 13591])).
% 21.59/21.94 tff(16195,plain,
% 21.59/21.94 (~always25(s166)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16194, 16186])).
% 21.59/21.94 tff(16196,plain,
% 21.59/21.94 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16197,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16198,plain,
% 21.59/21.94 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 21.59/21.94 tff(16199,plain,
% 21.59/21.94 (~node26(s166)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16198, 6122, 16195])).
% 21.59/21.94 tff(16200,plain,
% 21.59/21.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s165, c_t2) | (~node26(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s165, c_t2) | (~node26(s165)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16201,plain,
% 21.59/21.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s165, c_t2) | (~node26(s165)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.94 tff(16202,plain,
% 21.59/21.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s165, c_t2) | (~node26(s165))),
% 21.59/21.94 inference(modus_ponens,[status(thm)],[16201, 16200])).
% 21.59/21.94 tff(16203,plain,
% 21.59/21.94 (~node26(s165)),
% 21.59/21.94 inference(unit_resolution,[status(thm)],[16202, 15967, 13516])).
% 21.59/21.94 tff(16204,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s164)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16205,plain,
% 21.59/21.94 (((~m_main_v_state2(s164, c_c2)) | (~always25(s164))) <=> ((~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 21.59/21.94 inference(rewrite,[status(thm)],[])).
% 21.59/21.94 tff(16206,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s164)) | (~m_main_v_state2(s164, c_c2))))),
% 21.59/21.94 inference(monotonicity,[status(thm)],[16205])).
% 21.59/21.94 tff(16207,plain,
% 21.59/21.94 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 21.59/21.94 inference(transitivity,[status(thm)],[16206, 16204])).
% 21.59/21.94 tff(16208,plain,
% 21.59/21.94 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))),
% 21.59/21.94 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16209,plain,
% 21.59/21.95 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16208, 16207])).
% 21.59/21.95 tff(16210,plain,
% 21.59/21.95 (~always25(s164)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16209, 6106, 13380])).
% 21.59/21.95 tff(16211,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s163, s164)) | (~always25(s163)) | always25(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s163, s164)) | (~always25(s163)) | always25(s164))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16212,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s163, s164)) | (~always25(s163)) | always25(s164))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16213,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s163, s164)) | (~always25(s163)) | always25(s164)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16212, 16211])).
% 21.59/21.95 tff(16214,plain,
% 21.59/21.95 ((~always25(s163)) | always25(s164)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16213, 6146, 13371])).
% 21.59/21.95 tff(16215,plain,
% 21.59/21.95 (~always25(s163)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16214, 16210])).
% 21.59/21.95 tff(16216,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16217,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16218,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16217, 16216])).
% 21.59/21.95 tff(16219,plain,
% 21.59/21.95 (~node26(s163)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16218, 6122, 16215])).
% 21.59/21.95 tff(16220,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s162, s163)) | (~always25(s162)) | always25(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s162, s163)) | (~always25(s162)) | always25(s163))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16221,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s162, s163)) | (~always25(s162)) | always25(s163))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16222,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s162, s163)) | (~always25(s162)) | always25(s163)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 21.59/21.95 tff(16223,plain,
% 21.59/21.95 ((~always25(s162)) | always25(s163)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16222, 6146, 13293])).
% 21.59/21.95 tff(16224,plain,
% 21.59/21.95 (~always25(s162)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16223, 16215])).
% 21.59/21.95 tff(16225,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16226,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16227,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 21.59/21.95 tff(16228,plain,
% 21.59/21.95 (~node26(s162)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16227, 6122, 16224])).
% 21.59/21.95 tff(16229,plain,
% 21.59/21.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s161, c_t2) | (~node26(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s161, c_t2) | (~node26(s161)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16230,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s161, c_t2) | (~node26(s161)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16231,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s161, c_t2) | (~node26(s161))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 21.59/21.95 tff(16232,plain,
% 21.59/21.95 (~node26(s161)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16231, 15967, 13183])).
% 21.59/21.95 tff(16233,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s160)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16234,plain,
% 21.59/21.95 (((~m_main_v_state2(s160, c_c2)) | (~always25(s160))) <=> ((~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16235,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s160)) | (~m_main_v_state2(s160, c_c2))))),
% 21.59/21.95 inference(monotonicity,[status(thm)],[16234])).
% 21.59/21.95 tff(16236,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 21.59/21.95 inference(transitivity,[status(thm)],[16235, 16233])).
% 21.59/21.95 tff(16237,plain,
% 21.59/21.95 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16238,plain,
% 21.59/21.95 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16237, 16236])).
% 21.59/21.95 tff(16239,plain,
% 21.59/21.95 (~always25(s160)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16238, 6106, 13112])).
% 21.59/21.95 tff(16240,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s159, s160)) | (~always25(s159)) | always25(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s159, s160)) | (~always25(s159)) | always25(s160))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16241,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s159, s160)) | (~always25(s159)) | always25(s160))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16242,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s159, s160)) | (~always25(s159)) | always25(s160)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 21.59/21.95 tff(16243,plain,
% 21.59/21.95 ((~always25(s159)) | always25(s160)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16242, 6146, 13038])).
% 21.59/21.95 tff(16244,plain,
% 21.59/21.95 (~always25(s159)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16243, 16239])).
% 21.59/21.95 tff(16245,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16246,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16247,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16246, 16245])).
% 21.59/21.95 tff(16248,plain,
% 21.59/21.95 (~node26(s159)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16247, 6122, 16244])).
% 21.59/21.95 tff(16249,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s158, s159)) | (~always25(s158)) | always25(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s158, s159)) | (~always25(s158)) | always25(s159))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16250,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s158, s159)) | (~always25(s158)) | always25(s159))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16251,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s158, s159)) | (~always25(s158)) | always25(s159)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 21.59/21.95 tff(16252,plain,
% 21.59/21.95 ((~always25(s158)) | always25(s159)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16251, 6146, 12963])).
% 21.59/21.95 tff(16253,plain,
% 21.59/21.95 (~always25(s158)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16252, 16244])).
% 21.59/21.95 tff(16254,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16255,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16256,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16255, 16254])).
% 21.59/21.95 tff(16257,plain,
% 21.59/21.95 (~node26(s158)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16256, 6122, 16253])).
% 21.59/21.95 tff(16258,plain,
% 21.59/21.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s157, c_t2) | (~node26(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s157, c_t2) | (~node26(s157)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16259,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s157, c_t2) | (~node26(s157)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16260,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s157, c_t2) | (~node26(s157))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16259, 16258])).
% 21.59/21.95 tff(16261,plain,
% 21.59/21.95 (~node26(s157)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16260, 15967, 12888])).
% 21.59/21.95 tff(16262,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s156)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16263,plain,
% 21.59/21.95 (((~m_main_v_state2(s156, c_c2)) | (~always25(s156))) <=> ((~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16264,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s156)) | (~m_main_v_state2(s156, c_c2))))),
% 21.59/21.95 inference(monotonicity,[status(thm)],[16263])).
% 21.59/21.95 tff(16265,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 21.59/21.95 inference(transitivity,[status(thm)],[16264, 16262])).
% 21.59/21.95 tff(16266,plain,
% 21.59/21.95 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16267,plain,
% 21.59/21.95 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 21.59/21.95 tff(16268,plain,
% 21.59/21.95 (~always25(s156)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16267, 6106, 12752])).
% 21.59/21.95 tff(16269,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s155, s156)) | (~always25(s155)) | always25(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s155, s156)) | (~always25(s155)) | always25(s156))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16270,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s155, s156)) | (~always25(s155)) | always25(s156))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16271,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s155, s156)) | (~always25(s155)) | always25(s156)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 21.59/21.95 tff(16272,plain,
% 21.59/21.95 ((~always25(s155)) | always25(s156)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16271, 6146, 12743])).
% 21.59/21.95 tff(16273,plain,
% 21.59/21.95 (~always25(s155)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16272, 16268])).
% 21.59/21.95 tff(16274,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16275,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16276,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 21.59/21.95 tff(16277,plain,
% 21.59/21.95 (~node26(s155)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16276, 6122, 16273])).
% 21.59/21.95 tff(16278,plain,
% 21.59/21.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s154, s155)) | (~always25(s154)) | always25(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s154, s155)) | (~always25(s154)) | always25(s155))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16279,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s154, s155)) | (~always25(s154)) | always25(s155))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16280,plain,
% 21.59/21.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s154, s155)) | (~always25(s154)) | always25(s155)),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 21.59/21.95 tff(16281,plain,
% 21.59/21.95 ((~always25(s154)) | always25(s155)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16280, 6146, 12665])).
% 21.59/21.95 tff(16282,plain,
% 21.59/21.95 (~always25(s154)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16281, 16273])).
% 21.59/21.95 tff(16283,plain,
% 21.59/21.95 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16284,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16285,plain,
% 21.59/21.95 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 21.59/21.95 tff(16286,plain,
% 21.59/21.95 (~node26(s154)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16285, 6122, 16282])).
% 21.59/21.95 tff(16287,plain,
% 21.59/21.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s153, c_t2) | (~node26(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s153, c_t2) | (~node26(s153)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16288,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s153, c_t2) | (~node26(s153)))),
% 21.59/21.95 inference(quant_inst,[status(thm)],[])).
% 21.59/21.95 tff(16289,plain,
% 21.59/21.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s153, c_t2) | (~node26(s153))),
% 21.59/21.95 inference(modus_ponens,[status(thm)],[16288, 16287])).
% 21.59/21.95 tff(16290,plain,
% 21.59/21.95 (~node26(s153)),
% 21.59/21.95 inference(unit_resolution,[status(thm)],[16289, 15967, 12555])).
% 21.59/21.95 tff(16291,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s152)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16292,plain,
% 21.59/21.95 (((~m_main_v_state2(s152, c_c2)) | (~always25(s152))) <=> ((~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 21.59/21.95 inference(rewrite,[status(thm)],[])).
% 21.59/21.95 tff(16293,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s152)) | (~m_main_v_state2(s152, c_c2))))),
% 21.59/21.95 inference(monotonicity,[status(thm)],[16292])).
% 21.59/21.95 tff(16294,plain,
% 21.59/21.95 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 21.59/21.96 inference(transitivity,[status(thm)],[16293, 16291])).
% 21.59/21.96 tff(16295,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16296,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16295, 16294])).
% 21.59/21.96 tff(16297,plain,
% 21.59/21.96 (~always25(s152)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16296, 6106, 12484])).
% 21.59/21.96 tff(16298,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s151, s152)) | (~always25(s151)) | always25(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s151, s152)) | (~always25(s151)) | always25(s152))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16299,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s151, s152)) | (~always25(s151)) | always25(s152))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16300,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s151, s152)) | (~always25(s151)) | always25(s152)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 21.59/21.96 tff(16301,plain,
% 21.59/21.96 ((~always25(s151)) | always25(s152)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16300, 6146, 12410])).
% 21.59/21.96 tff(16302,plain,
% 21.59/21.96 (~always25(s151)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16301, 16297])).
% 21.59/21.96 tff(16303,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16304,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16305,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16304, 16303])).
% 21.59/21.96 tff(16306,plain,
% 21.59/21.96 (~node26(s151)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16305, 6122, 16302])).
% 21.59/21.96 tff(16307,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s150, s151)) | (~always25(s150)) | always25(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s150, s151)) | (~always25(s150)) | always25(s151))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16308,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s150, s151)) | (~always25(s150)) | always25(s151))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16309,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s150, s151)) | (~always25(s150)) | always25(s151)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16308, 16307])).
% 21.59/21.96 tff(16310,plain,
% 21.59/21.96 ((~always25(s150)) | always25(s151)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16309, 6146, 12335])).
% 21.59/21.96 tff(16311,plain,
% 21.59/21.96 (~always25(s150)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16310, 16302])).
% 21.59/21.96 tff(16312,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16313,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16314,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16313, 16312])).
% 21.59/21.96 tff(16315,plain,
% 21.59/21.96 (~node26(s150)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16314, 6122, 16311])).
% 21.59/21.96 tff(16316,plain,
% 21.59/21.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s149, c_t2) | (~node26(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s149, c_t2) | (~node26(s149)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16317,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s149, c_t2) | (~node26(s149)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16318,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s149, c_t2) | (~node26(s149))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16317, 16316])).
% 21.59/21.96 tff(16319,plain,
% 21.59/21.96 (~node26(s149)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16318, 15967, 12260])).
% 21.59/21.96 tff(16320,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s148)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16321,plain,
% 21.59/21.96 (((~m_main_v_state2(s148, c_c2)) | (~always25(s148))) <=> ((~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16322,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s148)) | (~m_main_v_state2(s148, c_c2))))),
% 21.59/21.96 inference(monotonicity,[status(thm)],[16321])).
% 21.59/21.96 tff(16323,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 21.59/21.96 inference(transitivity,[status(thm)],[16322, 16320])).
% 21.59/21.96 tff(16324,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16325,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16324, 16323])).
% 21.59/21.96 tff(16326,plain,
% 21.59/21.96 (~always25(s148)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16325, 6106, 12124])).
% 21.59/21.96 tff(16327,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s147, s148)) | (~always25(s147)) | always25(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s147, s148)) | (~always25(s147)) | always25(s148))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16328,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s147, s148)) | (~always25(s147)) | always25(s148))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16329,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s147, s148)) | (~always25(s147)) | always25(s148)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16328, 16327])).
% 21.59/21.96 tff(16330,plain,
% 21.59/21.96 ((~always25(s147)) | always25(s148)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16329, 6146, 12115])).
% 21.59/21.96 tff(16331,plain,
% 21.59/21.96 (~always25(s147)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16330, 16326])).
% 21.59/21.96 tff(16332,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16333,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16334,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16333, 16332])).
% 21.59/21.96 tff(16335,plain,
% 21.59/21.96 (~node26(s147)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16334, 6122, 16331])).
% 21.59/21.96 tff(16336,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s146, s147)) | (~always25(s146)) | always25(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s146, s147)) | (~always25(s146)) | always25(s147))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16337,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s146, s147)) | (~always25(s146)) | always25(s147))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16338,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s146, s147)) | (~always25(s146)) | always25(s147)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 21.59/21.96 tff(16339,plain,
% 21.59/21.96 ((~always25(s146)) | always25(s147)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16338, 6146, 12037])).
% 21.59/21.96 tff(16340,plain,
% 21.59/21.96 (~always25(s146)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16339, 16331])).
% 21.59/21.96 tff(16341,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16342,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16343,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 21.59/21.96 tff(16344,plain,
% 21.59/21.96 (~node26(s146)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16343, 6122, 16340])).
% 21.59/21.96 tff(16345,plain,
% 21.59/21.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s145, c_t2) | (~node26(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s145, c_t2) | (~node26(s145)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16346,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s145, c_t2) | (~node26(s145)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16347,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s145, c_t2) | (~node26(s145))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16346, 16345])).
% 21.59/21.96 tff(16348,plain,
% 21.59/21.96 (~node26(s145)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16347, 15967, 11927])).
% 21.59/21.96 tff(16349,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s144)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16350,plain,
% 21.59/21.96 (((~m_main_v_state2(s144, c_c2)) | (~always25(s144))) <=> ((~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16351,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s144)) | (~m_main_v_state2(s144, c_c2))))),
% 21.59/21.96 inference(monotonicity,[status(thm)],[16350])).
% 21.59/21.96 tff(16352,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 21.59/21.96 inference(transitivity,[status(thm)],[16351, 16349])).
% 21.59/21.96 tff(16353,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16354,plain,
% 21.59/21.96 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 21.59/21.96 tff(16355,plain,
% 21.59/21.96 (~always25(s144)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16354, 6106, 11856])).
% 21.59/21.96 tff(16356,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s143, s144)) | (~always25(s143)) | always25(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s143, s144)) | (~always25(s143)) | always25(s144))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16357,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s143, s144)) | (~always25(s143)) | always25(s144))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16358,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s143, s144)) | (~always25(s143)) | always25(s144)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16357, 16356])).
% 21.59/21.96 tff(16359,plain,
% 21.59/21.96 ((~always25(s143)) | always25(s144)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16358, 6146, 11782])).
% 21.59/21.96 tff(16360,plain,
% 21.59/21.96 (~always25(s143)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16359, 16355])).
% 21.59/21.96 tff(16361,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16362,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16363,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16362, 16361])).
% 21.59/21.96 tff(16364,plain,
% 21.59/21.96 (~node26(s143)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16363, 6122, 16360])).
% 21.59/21.96 tff(16365,plain,
% 21.59/21.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s142, s143)) | (~always25(s142)) | always25(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s142, s143)) | (~always25(s142)) | always25(s143))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16366,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s142, s143)) | (~always25(s142)) | always25(s143))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16367,plain,
% 21.59/21.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s142, s143)) | (~always25(s142)) | always25(s143)),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16366, 16365])).
% 21.59/21.96 tff(16368,plain,
% 21.59/21.96 ((~always25(s142)) | always25(s143)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16367, 6146, 11707])).
% 21.59/21.96 tff(16369,plain,
% 21.59/21.96 (~always25(s142)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16368, 16360])).
% 21.59/21.96 tff(16370,plain,
% 21.59/21.96 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16371,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16372,plain,
% 21.59/21.96 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16371, 16370])).
% 21.59/21.96 tff(16373,plain,
% 21.59/21.96 (~node26(s142)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16372, 6122, 16369])).
% 21.59/21.96 tff(16374,plain,
% 21.59/21.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s141, c_t2) | (~node26(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s141, c_t2) | (~node26(s141)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16375,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s141, c_t2) | (~node26(s141)))),
% 21.59/21.96 inference(quant_inst,[status(thm)],[])).
% 21.59/21.96 tff(16376,plain,
% 21.59/21.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s141, c_t2) | (~node26(s141))),
% 21.59/21.96 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 21.59/21.96 tff(16377,plain,
% 21.59/21.96 (~node26(s141)),
% 21.59/21.96 inference(unit_resolution,[status(thm)],[16376, 15967, 11632])).
% 21.59/21.96 tff(16378,plain,
% 21.59/21.96 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s140)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 21.59/21.96 inference(rewrite,[status(thm)],[])).
% 21.59/21.96 tff(16379,plain,
% 21.59/21.96 (((~m_main_v_state2(s140, c_c2)) | (~always25(s140))) <=> ((~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16380,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s140)) | (~m_main_v_state2(s140, c_c2))))),
% 21.59/21.97 inference(monotonicity,[status(thm)],[16379])).
% 21.59/21.97 tff(16381,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 21.59/21.97 inference(transitivity,[status(thm)],[16380, 16378])).
% 21.59/21.97 tff(16382,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16383,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16382, 16381])).
% 21.59/21.97 tff(16384,plain,
% 21.59/21.97 (~always25(s140)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16383, 6106, 11496])).
% 21.59/21.97 tff(16385,plain,
% 21.59/21.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s139, s140)) | (~always25(s139)) | always25(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s139, s140)) | (~always25(s139)) | always25(s140))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16386,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s139, s140)) | (~always25(s139)) | always25(s140))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16387,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s139, s140)) | (~always25(s139)) | always25(s140)),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16386, 16385])).
% 21.59/21.97 tff(16388,plain,
% 21.59/21.97 ((~always25(s139)) | always25(s140)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16387, 6146, 11487])).
% 21.59/21.97 tff(16389,plain,
% 21.59/21.97 (~always25(s139)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16388, 16384])).
% 21.59/21.97 tff(16390,plain,
% 21.59/21.97 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16391,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16392,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 21.59/21.97 tff(16393,plain,
% 21.59/21.97 (~node26(s139)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16392, 6122, 16389])).
% 21.59/21.97 tff(16394,plain,
% 21.59/21.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s138, s139)) | (~always25(s138)) | always25(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s138, s139)) | (~always25(s138)) | always25(s139))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16395,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s138, s139)) | (~always25(s138)) | always25(s139))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16396,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s138, s139)) | (~always25(s138)) | always25(s139)),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 21.59/21.97 tff(16397,plain,
% 21.59/21.97 ((~always25(s138)) | always25(s139)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16396, 6146, 11409])).
% 21.59/21.97 tff(16398,plain,
% 21.59/21.97 (~always25(s138)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16397, 16389])).
% 21.59/21.97 tff(16399,plain,
% 21.59/21.97 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16400,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16401,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16400, 16399])).
% 21.59/21.97 tff(16402,plain,
% 21.59/21.97 (~node26(s138)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16401, 6122, 16398])).
% 21.59/21.97 tff(16403,plain,
% 21.59/21.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s137, c_t2) | (~node26(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s137, c_t2) | (~node26(s137)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16404,plain,
% 21.59/21.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s137, c_t2) | (~node26(s137)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16405,plain,
% 21.59/21.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s137, c_t2) | (~node26(s137))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16404, 16403])).
% 21.59/21.97 tff(16406,plain,
% 21.59/21.97 (~node26(s137)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16405, 15967, 11299])).
% 21.59/21.97 tff(16407,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s136)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16408,plain,
% 21.59/21.97 (((~m_main_v_state2(s136, c_c2)) | (~always25(s136))) <=> ((~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16409,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s136)) | (~m_main_v_state2(s136, c_c2))))),
% 21.59/21.97 inference(monotonicity,[status(thm)],[16408])).
% 21.59/21.97 tff(16410,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 21.59/21.97 inference(transitivity,[status(thm)],[16409, 16407])).
% 21.59/21.97 tff(16411,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16412,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16411, 16410])).
% 21.59/21.97 tff(16413,plain,
% 21.59/21.97 (~always25(s136)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16412, 6106, 11228])).
% 21.59/21.97 tff(16414,plain,
% 21.59/21.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s135, s136)) | (~always25(s135)) | always25(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s135, s136)) | (~always25(s135)) | always25(s136))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16415,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s135, s136)) | (~always25(s135)) | always25(s136))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16416,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s135, s136)) | (~always25(s135)) | always25(s136)),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 21.59/21.97 tff(16417,plain,
% 21.59/21.97 ((~always25(s135)) | always25(s136)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16416, 6146, 11154])).
% 21.59/21.97 tff(16418,plain,
% 21.59/21.97 (~always25(s135)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16417, 16413])).
% 21.59/21.97 tff(16419,plain,
% 21.59/21.97 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16420,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16421,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 21.59/21.97 tff(16422,plain,
% 21.59/21.97 (~node26(s135)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16421, 6122, 16418])).
% 21.59/21.97 tff(16423,plain,
% 21.59/21.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s134, s135)) | (~always25(s134)) | always25(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s134, s135)) | (~always25(s134)) | always25(s135))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16424,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s134, s135)) | (~always25(s134)) | always25(s135))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16425,plain,
% 21.59/21.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s134, s135)) | (~always25(s134)) | always25(s135)),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 21.59/21.97 tff(16426,plain,
% 21.59/21.97 ((~always25(s134)) | always25(s135)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16425, 6146, 11079])).
% 21.59/21.97 tff(16427,plain,
% 21.59/21.97 (~always25(s134)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16426, 16418])).
% 21.59/21.97 tff(16428,plain,
% 21.59/21.97 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16429,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16430,plain,
% 21.59/21.97 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 21.59/21.97 tff(16431,plain,
% 21.59/21.97 (~node26(s134)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16430, 6122, 16427])).
% 21.59/21.97 tff(16432,plain,
% 21.59/21.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s133, c_t2) | (~node26(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s133, c_t2) | (~node26(s133)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16433,plain,
% 21.59/21.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s133, c_t2) | (~node26(s133)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16434,plain,
% 21.59/21.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s133, c_t2) | (~node26(s133))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16433, 16432])).
% 21.59/21.97 tff(16435,plain,
% 21.59/21.97 (~node26(s133)),
% 21.59/21.97 inference(unit_resolution,[status(thm)],[16434, 15967, 11004])).
% 21.59/21.97 tff(16436,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s132)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16437,plain,
% 21.59/21.97 (((~m_main_v_state2(s132, c_c2)) | (~always25(s132))) <=> ((~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 21.59/21.97 inference(rewrite,[status(thm)],[])).
% 21.59/21.97 tff(16438,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s132)) | (~m_main_v_state2(s132, c_c2))))),
% 21.59/21.97 inference(monotonicity,[status(thm)],[16437])).
% 21.59/21.97 tff(16439,plain,
% 21.59/21.97 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 21.59/21.97 inference(transitivity,[status(thm)],[16438, 16436])).
% 21.59/21.97 tff(16440,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))),
% 21.59/21.97 inference(quant_inst,[status(thm)],[])).
% 21.59/21.97 tff(16441,plain,
% 21.59/21.97 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2))),
% 21.59/21.97 inference(modus_ponens,[status(thm)],[16440, 16439])).
% 21.59/21.98 tff(16442,plain,
% 21.59/21.98 (~always25(s132)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16441, 6106, 10868])).
% 21.59/21.98 tff(16443,plain,
% 21.59/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s131, s132)) | (~always25(s131)) | always25(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s131, s132)) | (~always25(s131)) | always25(s132))),
% 21.59/21.98 inference(rewrite,[status(thm)],[])).
% 21.59/21.98 tff(16444,plain,
% 21.59/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s131, s132)) | (~always25(s131)) | always25(s132))),
% 21.59/21.98 inference(quant_inst,[status(thm)],[])).
% 21.59/21.98 tff(16445,plain,
% 21.59/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s131, s132)) | (~always25(s131)) | always25(s132)),
% 21.59/21.98 inference(modus_ponens,[status(thm)],[16444, 16443])).
% 21.59/21.98 tff(16446,plain,
% 21.59/21.98 ((~always25(s131)) | always25(s132)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16445, 6146, 10859])).
% 21.59/21.98 tff(16447,plain,
% 21.59/21.98 (~always25(s131)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16446, 16442])).
% 21.59/21.98 tff(16448,plain,
% 21.59/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131)))),
% 21.59/21.98 inference(rewrite,[status(thm)],[])).
% 21.59/21.98 tff(16449,plain,
% 21.59/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))),
% 21.59/21.98 inference(quant_inst,[status(thm)],[])).
% 21.59/21.98 tff(16450,plain,
% 21.59/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131))),
% 21.59/21.98 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 21.59/21.98 tff(16451,plain,
% 21.59/21.98 (~node26(s131)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16450, 6122, 16447])).
% 21.59/21.98 tff(16452,plain,
% 21.59/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s130, s131)) | (~always25(s130)) | always25(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s130, s131)) | (~always25(s130)) | always25(s131))),
% 21.59/21.98 inference(rewrite,[status(thm)],[])).
% 21.59/21.98 tff(16453,plain,
% 21.59/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s130, s131)) | (~always25(s130)) | always25(s131))),
% 21.59/21.98 inference(quant_inst,[status(thm)],[])).
% 21.59/21.98 tff(16454,plain,
% 21.59/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s130, s131)) | (~always25(s130)) | always25(s131)),
% 21.59/21.98 inference(modus_ponens,[status(thm)],[16453, 16452])).
% 21.59/21.98 tff(16455,plain,
% 21.59/21.98 ((~always25(s130)) | always25(s131)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16454, 6146, 10781])).
% 21.59/21.98 tff(16456,plain,
% 21.59/21.98 (~always25(s130)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16455, 16447])).
% 21.59/21.98 tff(16457,plain,
% 21.59/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130)))),
% 21.59/21.98 inference(rewrite,[status(thm)],[])).
% 21.59/21.98 tff(16458,plain,
% 21.59/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))),
% 21.59/21.98 inference(quant_inst,[status(thm)],[])).
% 21.59/21.98 tff(16459,plain,
% 21.59/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130))),
% 21.59/21.98 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 21.59/21.98 tff(16460,plain,
% 21.59/21.98 (~node26(s130)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16459, 6122, 16456])).
% 21.59/21.98 tff(16461,plain,
% 21.59/21.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s129, c_t2) | (~node26(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s129, c_t2) | (~node26(s129)))),
% 21.59/21.98 inference(rewrite,[status(thm)],[])).
% 21.59/21.98 tff(16462,plain,
% 21.59/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s129, c_t2) | (~node26(s129)))),
% 21.59/21.98 inference(quant_inst,[status(thm)],[])).
% 21.59/21.98 tff(16463,plain,
% 21.59/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s129, c_t2) | (~node26(s129))),
% 21.59/21.98 inference(modus_ponens,[status(thm)],[16462, 16461])).
% 21.59/21.98 tff(16464,plain,
% 21.59/21.98 (~node26(s129)),
% 21.59/21.98 inference(unit_resolution,[status(thm)],[16463, 15967, 10671])).
% 21.66/21.98 tff(16465,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s128)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16466,plain,
% 21.66/21.98 (((~m_main_v_state2(s128, c_c2)) | (~always25(s128))) <=> ((~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16467,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s128)) | (~m_main_v_state2(s128, c_c2))))),
% 21.66/21.98 inference(monotonicity,[status(thm)],[16466])).
% 21.66/21.98 tff(16468,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 21.66/21.98 inference(transitivity,[status(thm)],[16467, 16465])).
% 21.66/21.98 tff(16469,plain,
% 21.66/21.98 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16470,plain,
% 21.66/21.98 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 21.66/21.98 tff(16471,plain,
% 21.66/21.98 (~always25(s128)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16470, 6106, 10600])).
% 21.66/21.98 tff(16472,plain,
% 21.66/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s127, s128)) | (~always25(s127)) | always25(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s127, s128)) | (~always25(s127)) | always25(s128))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16473,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s127, s128)) | (~always25(s127)) | always25(s128))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16474,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s127, s128)) | (~always25(s127)) | always25(s128)),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 21.66/21.98 tff(16475,plain,
% 21.66/21.98 ((~always25(s127)) | always25(s128)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16474, 6146, 10526])).
% 21.66/21.98 tff(16476,plain,
% 21.66/21.98 (~always25(s127)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16475, 16471])).
% 21.66/21.98 tff(16477,plain,
% 21.66/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16478,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16479,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 21.66/21.98 tff(16480,plain,
% 21.66/21.98 (~node26(s127)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16479, 6122, 16476])).
% 21.66/21.98 tff(16481,plain,
% 21.66/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s126, s127)) | (~always25(s126)) | always25(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s126, s127)) | (~always25(s126)) | always25(s127))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16482,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s126, s127)) | (~always25(s126)) | always25(s127))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16483,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s126, s127)) | (~always25(s126)) | always25(s127)),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16482, 16481])).
% 21.66/21.98 tff(16484,plain,
% 21.66/21.98 ((~always25(s126)) | always25(s127)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16483, 6146, 10451])).
% 21.66/21.98 tff(16485,plain,
% 21.66/21.98 (~always25(s126)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16484, 16476])).
% 21.66/21.98 tff(16486,plain,
% 21.66/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16487,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16488,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16487, 16486])).
% 21.66/21.98 tff(16489,plain,
% 21.66/21.98 (~node26(s126)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16488, 6122, 16485])).
% 21.66/21.98 tff(16490,plain,
% 21.66/21.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s125, c_t2) | (~node26(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s125, c_t2) | (~node26(s125)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16491,plain,
% 21.66/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s125, c_t2) | (~node26(s125)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16492,plain,
% 21.66/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s125, c_t2) | (~node26(s125))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 21.66/21.98 tff(16493,plain,
% 21.66/21.98 (~node26(s125)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16492, 15967, 10376])).
% 21.66/21.98 tff(16494,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s124)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16495,plain,
% 21.66/21.98 (((~m_main_v_state2(s124, c_c2)) | (~always25(s124))) <=> ((~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16496,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s124)) | (~m_main_v_state2(s124, c_c2))))),
% 21.66/21.98 inference(monotonicity,[status(thm)],[16495])).
% 21.66/21.98 tff(16497,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 21.66/21.98 inference(transitivity,[status(thm)],[16496, 16494])).
% 21.66/21.98 tff(16498,plain,
% 21.66/21.98 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16499,plain,
% 21.66/21.98 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 21.66/21.98 tff(16500,plain,
% 21.66/21.98 (~always25(s124)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16499, 6106, 10240])).
% 21.66/21.98 tff(16501,plain,
% 21.66/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s123, s124)) | (~always25(s123)) | always25(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s123, s124)) | (~always25(s123)) | always25(s124))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16502,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s123, s124)) | (~always25(s123)) | always25(s124))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16503,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s123, s124)) | (~always25(s123)) | always25(s124)),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 21.66/21.98 tff(16504,plain,
% 21.66/21.98 ((~always25(s123)) | always25(s124)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16503, 6146, 10231])).
% 21.66/21.98 tff(16505,plain,
% 21.66/21.98 (~always25(s123)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16504, 16500])).
% 21.66/21.98 tff(16506,plain,
% 21.66/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16507,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16508,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 21.66/21.98 tff(16509,plain,
% 21.66/21.98 (~node26(s123)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16508, 6122, 16505])).
% 21.66/21.98 tff(16510,plain,
% 21.66/21.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s122, s123)) | (~always25(s122)) | always25(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s122, s123)) | (~always25(s122)) | always25(s123))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16511,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s122, s123)) | (~always25(s122)) | always25(s123))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16512,plain,
% 21.66/21.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s122, s123)) | (~always25(s122)) | always25(s123)),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 21.66/21.98 tff(16513,plain,
% 21.66/21.98 ((~always25(s122)) | always25(s123)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16512, 6146, 10153])).
% 21.66/21.98 tff(16514,plain,
% 21.66/21.98 (~always25(s122)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16513, 16505])).
% 21.66/21.98 tff(16515,plain,
% 21.66/21.98 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16516,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16517,plain,
% 21.66/21.98 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 21.66/21.98 tff(16518,plain,
% 21.66/21.98 (~node26(s122)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16517, 6122, 16514])).
% 21.66/21.98 tff(16519,plain,
% 21.66/21.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s121, c_t2) | (~node26(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s121, c_t2) | (~node26(s121)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16520,plain,
% 21.66/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s121, c_t2) | (~node26(s121)))),
% 21.66/21.98 inference(quant_inst,[status(thm)],[])).
% 21.66/21.98 tff(16521,plain,
% 21.66/21.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s121, c_t2) | (~node26(s121))),
% 21.66/21.98 inference(modus_ponens,[status(thm)],[16520, 16519])).
% 21.66/21.98 tff(16522,plain,
% 21.66/21.98 (~node26(s121)),
% 21.66/21.98 inference(unit_resolution,[status(thm)],[16521, 15967, 10043])).
% 21.66/21.98 tff(16523,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s120)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16524,plain,
% 21.66/21.98 (((~m_main_v_state2(s120, c_c2)) | (~always25(s120))) <=> ((~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 21.66/21.98 inference(rewrite,[status(thm)],[])).
% 21.66/21.98 tff(16525,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s120)) | (~m_main_v_state2(s120, c_c2))))),
% 21.66/21.98 inference(monotonicity,[status(thm)],[16524])).
% 21.66/21.98 tff(16526,plain,
% 21.66/21.98 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 21.66/21.99 inference(transitivity,[status(thm)],[16525, 16523])).
% 21.66/21.99 tff(16527,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16528,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 21.66/21.99 tff(16529,plain,
% 21.66/21.99 (~always25(s120)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16528, 6106, 9972])).
% 21.66/21.99 tff(16530,plain,
% 21.66/21.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s119, s120)) | (~always25(s119)) | always25(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s119, s120)) | (~always25(s119)) | always25(s120))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16531,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s119, s120)) | (~always25(s119)) | always25(s120))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16532,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s119, s120)) | (~always25(s119)) | always25(s120)),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16531, 16530])).
% 21.66/21.99 tff(16533,plain,
% 21.66/21.99 ((~always25(s119)) | always25(s120)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16532, 6146, 9898])).
% 21.66/21.99 tff(16534,plain,
% 21.66/21.99 (~always25(s119)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16533, 16529])).
% 21.66/21.99 tff(16535,plain,
% 21.66/21.99 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16536,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16537,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 21.66/21.99 tff(16538,plain,
% 21.66/21.99 (~node26(s119)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16537, 6122, 16534])).
% 21.66/21.99 tff(16539,plain,
% 21.66/21.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s118, s119)) | (~always25(s118)) | always25(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s118, s119)) | (~always25(s118)) | always25(s119))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16540,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s118, s119)) | (~always25(s118)) | always25(s119))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16541,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s118, s119)) | (~always25(s118)) | always25(s119)),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 21.66/21.99 tff(16542,plain,
% 21.66/21.99 ((~always25(s118)) | always25(s119)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16541, 6146, 9823])).
% 21.66/21.99 tff(16543,plain,
% 21.66/21.99 (~always25(s118)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16542, 16534])).
% 21.66/21.99 tff(16544,plain,
% 21.66/21.99 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16545,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16546,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 21.66/21.99 tff(16547,plain,
% 21.66/21.99 (~node26(s118)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16546, 6122, 16543])).
% 21.66/21.99 tff(16548,plain,
% 21.66/21.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s117, c_t2) | (~node26(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s117, c_t2) | (~node26(s117)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16549,plain,
% 21.66/21.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s117, c_t2) | (~node26(s117)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16550,plain,
% 21.66/21.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s117, c_t2) | (~node26(s117))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16549, 16548])).
% 21.66/21.99 tff(16551,plain,
% 21.66/21.99 (~node26(s117)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16550, 15967, 9748])).
% 21.66/21.99 tff(16552,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s116)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16553,plain,
% 21.66/21.99 (((~m_main_v_state2(s116, c_c2)) | (~always25(s116))) <=> ((~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16554,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s116)) | (~m_main_v_state2(s116, c_c2))))),
% 21.66/21.99 inference(monotonicity,[status(thm)],[16553])).
% 21.66/21.99 tff(16555,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 21.66/21.99 inference(transitivity,[status(thm)],[16554, 16552])).
% 21.66/21.99 tff(16556,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16557,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 21.66/21.99 tff(16558,plain,
% 21.66/21.99 (~always25(s116)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16557, 6106, 9612])).
% 21.66/21.99 tff(16559,plain,
% 21.66/21.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s115, s116)) | (~always25(s115)) | always25(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s115, s116)) | (~always25(s115)) | always25(s116))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16560,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s115, s116)) | (~always25(s115)) | always25(s116))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16561,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s115, s116)) | (~always25(s115)) | always25(s116)),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16560, 16559])).
% 21.66/21.99 tff(16562,plain,
% 21.66/21.99 ((~always25(s115)) | always25(s116)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16561, 6146, 9603])).
% 21.66/21.99 tff(16563,plain,
% 21.66/21.99 (~always25(s115)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16562, 16558])).
% 21.66/21.99 tff(16564,plain,
% 21.66/21.99 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16565,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16566,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16565, 16564])).
% 21.66/21.99 tff(16567,plain,
% 21.66/21.99 (~node26(s115)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16566, 6122, 16563])).
% 21.66/21.99 tff(16568,plain,
% 21.66/21.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s114, s115)) | (~always25(s114)) | always25(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s114, s115)) | (~always25(s114)) | always25(s115))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16569,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s114, s115)) | (~always25(s114)) | always25(s115))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16570,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s114, s115)) | (~always25(s114)) | always25(s115)),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 21.66/21.99 tff(16571,plain,
% 21.66/21.99 ((~always25(s114)) | always25(s115)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16570, 6146, 9525])).
% 21.66/21.99 tff(16572,plain,
% 21.66/21.99 (~always25(s114)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16571, 16563])).
% 21.66/21.99 tff(16573,plain,
% 21.66/21.99 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16574,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16575,plain,
% 21.66/21.99 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16574, 16573])).
% 21.66/21.99 tff(16576,plain,
% 21.66/21.99 (~node26(s114)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16575, 6122, 16572])).
% 21.66/21.99 tff(16577,plain,
% 21.66/21.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s113, c_t2) | (~node26(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s113, c_t2) | (~node26(s113)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16578,plain,
% 21.66/21.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s113, c_t2) | (~node26(s113)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16579,plain,
% 21.66/21.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s113, c_t2) | (~node26(s113))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 21.66/21.99 tff(16580,plain,
% 21.66/21.99 (~node26(s113)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16579, 15967, 9415])).
% 21.66/21.99 tff(16581,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s112)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16582,plain,
% 21.66/21.99 (((~m_main_v_state2(s112, c_c2)) | (~always25(s112))) <=> ((~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16583,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s112)) | (~m_main_v_state2(s112, c_c2))))),
% 21.66/21.99 inference(monotonicity,[status(thm)],[16582])).
% 21.66/21.99 tff(16584,plain,
% 21.66/21.99 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 21.66/21.99 inference(transitivity,[status(thm)],[16583, 16581])).
% 21.66/21.99 tff(16585,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/21.99 tff(16586,plain,
% 21.66/21.99 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2))),
% 21.66/21.99 inference(modus_ponens,[status(thm)],[16585, 16584])).
% 21.66/21.99 tff(16587,plain,
% 21.66/21.99 (~always25(s112)),
% 21.66/21.99 inference(unit_resolution,[status(thm)],[16586, 6106, 9344])).
% 21.66/21.99 tff(16588,plain,
% 21.66/21.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s111, s112)) | (~always25(s111)) | always25(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s111, s112)) | (~always25(s111)) | always25(s112))),
% 21.66/21.99 inference(rewrite,[status(thm)],[])).
% 21.66/21.99 tff(16589,plain,
% 21.66/21.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s111, s112)) | (~always25(s111)) | always25(s112))),
% 21.66/21.99 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16590,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s111, s112)) | (~always25(s111)) | always25(s112)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16589, 16588])).
% 21.66/22.00 tff(16591,plain,
% 21.66/22.00 ((~always25(s111)) | always25(s112)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16590, 6146, 9270])).
% 21.66/22.00 tff(16592,plain,
% 21.66/22.00 (~always25(s111)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16591, 16587])).
% 21.66/22.00 tff(16593,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16594,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16595,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 21.66/22.00 tff(16596,plain,
% 21.66/22.00 (~node26(s111)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16595, 6122, 16592])).
% 21.66/22.00 tff(16597,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s110, s111)) | (~always25(s110)) | always25(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s110, s111)) | (~always25(s110)) | always25(s111))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16598,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s110, s111)) | (~always25(s110)) | always25(s111))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16599,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s110, s111)) | (~always25(s110)) | always25(s111)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 21.66/22.00 tff(16600,plain,
% 21.66/22.00 ((~always25(s110)) | always25(s111)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16599, 6146, 9195])).
% 21.66/22.00 tff(16601,plain,
% 21.66/22.00 (~always25(s110)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16600, 16592])).
% 21.66/22.00 tff(16602,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16603,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16604,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 21.66/22.00 tff(16605,plain,
% 21.66/22.00 (~node26(s110)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16604, 6122, 16601])).
% 21.66/22.00 tff(16606,plain,
% 21.66/22.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s109, c_t2) | (~node26(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s109, c_t2) | (~node26(s109)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16607,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s109, c_t2) | (~node26(s109)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16608,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s109, c_t2) | (~node26(s109))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 21.66/22.00 tff(16609,plain,
% 21.66/22.00 (~node26(s109)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16608, 15967, 9120])).
% 21.66/22.00 tff(16610,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s108)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16611,plain,
% 21.66/22.00 (((~m_main_v_state2(s108, c_c2)) | (~always25(s108))) <=> ((~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16612,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s108)) | (~m_main_v_state2(s108, c_c2))))),
% 21.66/22.00 inference(monotonicity,[status(thm)],[16611])).
% 21.66/22.00 tff(16613,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 21.66/22.00 inference(transitivity,[status(thm)],[16612, 16610])).
% 21.66/22.00 tff(16614,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16615,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 21.66/22.00 tff(16616,plain,
% 21.66/22.00 (~always25(s108)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16615, 6106, 8984])).
% 21.66/22.00 tff(16617,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s107, s108)) | (~always25(s107)) | always25(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s107, s108)) | (~always25(s107)) | always25(s108))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16618,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s107, s108)) | (~always25(s107)) | always25(s108))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16619,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s107, s108)) | (~always25(s107)) | always25(s108)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16618, 16617])).
% 21.66/22.00 tff(16620,plain,
% 21.66/22.00 ((~always25(s107)) | always25(s108)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16619, 6146, 8975])).
% 21.66/22.00 tff(16621,plain,
% 21.66/22.00 (~always25(s107)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16620, 16616])).
% 21.66/22.00 tff(16622,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16623,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16624,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16623, 16622])).
% 21.66/22.00 tff(16625,plain,
% 21.66/22.00 (~node26(s107)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16624, 6122, 16621])).
% 21.66/22.00 tff(16626,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s106, s107)) | (~always25(s106)) | always25(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s106, s107)) | (~always25(s106)) | always25(s107))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16627,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s106, s107)) | (~always25(s106)) | always25(s107))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16628,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s106, s107)) | (~always25(s106)) | always25(s107)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16627, 16626])).
% 21.66/22.00 tff(16629,plain,
% 21.66/22.00 ((~always25(s106)) | always25(s107)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16628, 6146, 8897])).
% 21.66/22.00 tff(16630,plain,
% 21.66/22.00 (~always25(s106)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16629, 16621])).
% 21.66/22.00 tff(16631,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16632,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16633,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 21.66/22.00 tff(16634,plain,
% 21.66/22.00 (~node26(s106)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16633, 6122, 16630])).
% 21.66/22.00 tff(16635,plain,
% 21.66/22.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s105, c_t2) | (~node26(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s105, c_t2) | (~node26(s105)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16636,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s105, c_t2) | (~node26(s105)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16637,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s105, c_t2) | (~node26(s105))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16636, 16635])).
% 21.66/22.00 tff(16638,plain,
% 21.66/22.00 (~node26(s105)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16637, 15967, 8787])).
% 21.66/22.00 tff(16639,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s104)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16640,plain,
% 21.66/22.00 (((~m_main_v_state2(s104, c_c2)) | (~always25(s104))) <=> ((~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16641,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s104)) | (~m_main_v_state2(s104, c_c2))))),
% 21.66/22.00 inference(monotonicity,[status(thm)],[16640])).
% 21.66/22.00 tff(16642,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 21.66/22.00 inference(transitivity,[status(thm)],[16641, 16639])).
% 21.66/22.00 tff(16643,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16644,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 21.66/22.00 tff(16645,plain,
% 21.66/22.00 (~always25(s104)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16644, 6106, 8716])).
% 21.66/22.00 tff(16646,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s103, s104)) | (~always25(s103)) | always25(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s103, s104)) | (~always25(s103)) | always25(s104))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16647,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s103, s104)) | (~always25(s103)) | always25(s104))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16648,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s103, s104)) | (~always25(s103)) | always25(s104)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16647, 16646])).
% 21.66/22.00 tff(16649,plain,
% 21.66/22.00 ((~always25(s103)) | always25(s104)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16648, 6146, 8642])).
% 21.66/22.00 tff(16650,plain,
% 21.66/22.00 (~always25(s103)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16649, 16645])).
% 21.66/22.00 tff(16651,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16652,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16653,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16652, 16651])).
% 21.66/22.00 tff(16654,plain,
% 21.66/22.00 (~node26(s103)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16653, 6122, 16650])).
% 21.66/22.00 tff(16655,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s102, s103)) | (~always25(s102)) | always25(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s102, s103)) | (~always25(s102)) | always25(s103))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16656,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s102, s103)) | (~always25(s102)) | always25(s103))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16657,plain,
% 21.66/22.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s102, s103)) | (~always25(s102)) | always25(s103)),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16656, 16655])).
% 21.66/22.00 tff(16658,plain,
% 21.66/22.00 ((~always25(s102)) | always25(s103)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16657, 6146, 8567])).
% 21.66/22.00 tff(16659,plain,
% 21.66/22.00 (~always25(s102)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16658, 16650])).
% 21.66/22.00 tff(16660,plain,
% 21.66/22.00 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16661,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16662,plain,
% 21.66/22.00 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 21.66/22.00 tff(16663,plain,
% 21.66/22.00 (~node26(s102)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16662, 6122, 16659])).
% 21.66/22.00 tff(16664,plain,
% 21.66/22.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s101, c_t2) | (~node26(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s101, c_t2) | (~node26(s101)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16665,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s101, c_t2) | (~node26(s101)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16666,plain,
% 21.66/22.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s101, c_t2) | (~node26(s101))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 21.66/22.00 tff(16667,plain,
% 21.66/22.00 (~node26(s101)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16666, 15967, 8492])).
% 21.66/22.00 tff(16668,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s100)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16669,plain,
% 21.66/22.00 (((~m_main_v_state2(s100, c_c2)) | (~always25(s100))) <=> ((~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 21.66/22.00 inference(rewrite,[status(thm)],[])).
% 21.66/22.00 tff(16670,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s100)) | (~m_main_v_state2(s100, c_c2))))),
% 21.66/22.00 inference(monotonicity,[status(thm)],[16669])).
% 21.66/22.00 tff(16671,plain,
% 21.66/22.00 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 21.66/22.00 inference(transitivity,[status(thm)],[16670, 16668])).
% 21.66/22.00 tff(16672,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))),
% 21.66/22.00 inference(quant_inst,[status(thm)],[])).
% 21.66/22.00 tff(16673,plain,
% 21.66/22.00 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2))),
% 21.66/22.00 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 21.66/22.00 tff(16674,plain,
% 21.66/22.00 (~always25(s100)),
% 21.66/22.00 inference(unit_resolution,[status(thm)],[16673, 6106, 8356])).
% 21.66/22.00 tff(16675,plain,
% 21.66/22.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s99, s100)) | (~always25(s99)) | always25(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s99, s100)) | (~always25(s99)) | always25(s100))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16676,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s99, s100)) | (~always25(s99)) | always25(s100))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16677,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s99, s100)) | (~always25(s99)) | always25(s100)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 21.66/22.01 tff(16678,plain,
% 21.66/22.01 ((~always25(s99)) | always25(s100)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16677, 6146, 8347])).
% 21.66/22.01 tff(16679,plain,
% 21.66/22.01 (~always25(s99)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16678, 16674])).
% 21.66/22.01 tff(16680,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16681,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16682,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16681, 16680])).
% 21.66/22.01 tff(16683,plain,
% 21.66/22.01 (~node26(s99)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16682, 6122, 16679])).
% 21.66/22.01 tff(16684,plain,
% 21.66/22.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s98, s99)) | (~always25(s98)) | always25(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s98, s99)) | (~always25(s98)) | always25(s99))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16685,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s98, s99)) | (~always25(s98)) | always25(s99))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16686,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s98, s99)) | (~always25(s98)) | always25(s99)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16685, 16684])).
% 21.66/22.01 tff(16687,plain,
% 21.66/22.01 ((~always25(s98)) | always25(s99)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16686, 6146, 8269])).
% 21.66/22.01 tff(16688,plain,
% 21.66/22.01 (~always25(s98)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16687, 16679])).
% 21.66/22.01 tff(16689,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16690,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16691,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 21.66/22.01 tff(16692,plain,
% 21.66/22.01 (~node26(s98)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16691, 6122, 16688])).
% 21.66/22.01 tff(16693,plain,
% 21.66/22.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s97, c_t2) | (~node26(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s97, c_t2) | (~node26(s97)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16694,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s97, c_t2) | (~node26(s97)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16695,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s97, c_t2) | (~node26(s97))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 21.66/22.01 tff(16696,plain,
% 21.66/22.01 (~node26(s97)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16695, 15967, 8159])).
% 21.66/22.01 tff(16697,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s96)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16698,plain,
% 21.66/22.01 (((~m_main_v_state2(s96, c_c2)) | (~always25(s96))) <=> ((~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16699,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s96)) | (~m_main_v_state2(s96, c_c2))))),
% 21.66/22.01 inference(monotonicity,[status(thm)],[16698])).
% 21.66/22.01 tff(16700,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 21.66/22.01 inference(transitivity,[status(thm)],[16699, 16697])).
% 21.66/22.01 tff(16701,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16702,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16701, 16700])).
% 21.66/22.01 tff(16703,plain,
% 21.66/22.01 (~always25(s96)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16702, 6106, 8088])).
% 21.66/22.01 tff(16704,plain,
% 21.66/22.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s95, s96)) | (~always25(s95)) | always25(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s95, s96)) | (~always25(s95)) | always25(s96))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16705,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s95, s96)) | (~always25(s95)) | always25(s96))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16706,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s95, s96)) | (~always25(s95)) | always25(s96)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 21.66/22.01 tff(16707,plain,
% 21.66/22.01 ((~always25(s95)) | always25(s96)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16706, 6146, 8014])).
% 21.66/22.01 tff(16708,plain,
% 21.66/22.01 (~always25(s95)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16707, 16703])).
% 21.66/22.01 tff(16709,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16710,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16711,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 21.66/22.01 tff(16712,plain,
% 21.66/22.01 (~node26(s95)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16711, 6122, 16708])).
% 21.66/22.01 tff(16713,plain,
% 21.66/22.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s94, s95)) | (~always25(s94)) | always25(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s94, s95)) | (~always25(s94)) | always25(s95))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16714,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s94, s95)) | (~always25(s94)) | always25(s95))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16715,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s94, s95)) | (~always25(s94)) | always25(s95)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 21.66/22.01 tff(16716,plain,
% 21.66/22.01 ((~always25(s94)) | always25(s95)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16715, 6146, 7939])).
% 21.66/22.01 tff(16717,plain,
% 21.66/22.01 (~always25(s94)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16716, 16708])).
% 21.66/22.01 tff(16718,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16719,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16720,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16719, 16718])).
% 21.66/22.01 tff(16721,plain,
% 21.66/22.01 (~node26(s94)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16720, 6122, 16717])).
% 21.66/22.01 tff(16722,plain,
% 21.66/22.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s93, c_t2) | (~node26(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s93, c_t2) | (~node26(s93)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16723,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s93, c_t2) | (~node26(s93)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16724,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s93, c_t2) | (~node26(s93))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 21.66/22.01 tff(16725,plain,
% 21.66/22.01 (~node26(s93)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16724, 15967, 7864])).
% 21.66/22.01 tff(16726,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s92)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16727,plain,
% 21.66/22.01 (((~m_main_v_state2(s92, c_c2)) | (~always25(s92))) <=> ((~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16728,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s92)) | (~m_main_v_state2(s92, c_c2))))),
% 21.66/22.01 inference(monotonicity,[status(thm)],[16727])).
% 21.66/22.01 tff(16729,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 21.66/22.01 inference(transitivity,[status(thm)],[16728, 16726])).
% 21.66/22.01 tff(16730,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16731,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 21.66/22.01 tff(16732,plain,
% 21.66/22.01 (~always25(s92)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16731, 6106, 7728])).
% 21.66/22.01 tff(16733,plain,
% 21.66/22.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s91, s92)) | (~always25(s91)) | always25(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s91, s92)) | (~always25(s91)) | always25(s92))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16734,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s91, s92)) | (~always25(s91)) | always25(s92))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16735,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s91, s92)) | (~always25(s91)) | always25(s92)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 21.66/22.01 tff(16736,plain,
% 21.66/22.01 ((~always25(s91)) | always25(s92)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16735, 6146, 7719])).
% 21.66/22.01 tff(16737,plain,
% 21.66/22.01 (~always25(s91)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16736, 16732])).
% 21.66/22.01 tff(16738,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16739,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16740,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 21.66/22.01 tff(16741,plain,
% 21.66/22.01 (~node26(s91)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16740, 6122, 16737])).
% 21.66/22.01 tff(16742,plain,
% 21.66/22.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s90, s91)) | (~always25(s90)) | always25(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s90, s91)) | (~always25(s90)) | always25(s91))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16743,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s90, s91)) | (~always25(s90)) | always25(s91))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16744,plain,
% 21.66/22.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s90, s91)) | (~always25(s90)) | always25(s91)),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16743, 16742])).
% 21.66/22.01 tff(16745,plain,
% 21.66/22.01 ((~always25(s90)) | always25(s91)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16744, 6146, 7641])).
% 21.66/22.01 tff(16746,plain,
% 21.66/22.01 (~always25(s90)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16745, 16737])).
% 21.66/22.01 tff(16747,plain,
% 21.66/22.01 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16748,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16749,plain,
% 21.66/22.01 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16748, 16747])).
% 21.66/22.01 tff(16750,plain,
% 21.66/22.01 (~node26(s90)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16749, 6122, 16746])).
% 21.66/22.01 tff(16751,plain,
% 21.66/22.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s89, c_t2) | (~node26(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s89, c_t2) | (~node26(s89)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16752,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s89, c_t2) | (~node26(s89)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16753,plain,
% 21.66/22.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s89, c_t2) | (~node26(s89))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16752, 16751])).
% 21.66/22.01 tff(16754,plain,
% 21.66/22.01 (~node26(s89)),
% 21.66/22.01 inference(unit_resolution,[status(thm)],[16753, 15967, 7531])).
% 21.66/22.01 tff(16755,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s88)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16756,plain,
% 21.66/22.01 (((~m_main_v_state2(s88, c_c2)) | (~always25(s88))) <=> ((~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 21.66/22.01 inference(rewrite,[status(thm)],[])).
% 21.66/22.01 tff(16757,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s88)) | (~m_main_v_state2(s88, c_c2))))),
% 21.66/22.01 inference(monotonicity,[status(thm)],[16756])).
% 21.66/22.01 tff(16758,plain,
% 21.66/22.01 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 21.66/22.01 inference(transitivity,[status(thm)],[16757, 16755])).
% 21.66/22.01 tff(16759,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))),
% 21.66/22.01 inference(quant_inst,[status(thm)],[])).
% 21.66/22.01 tff(16760,plain,
% 21.66/22.01 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2))),
% 21.66/22.01 inference(modus_ponens,[status(thm)],[16759, 16758])).
% 21.66/22.01 tff(16761,plain,
% 21.66/22.01 (~always25(s88)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16760, 6106, 7460])).
% 21.66/22.02 tff(16762,plain,
% 21.66/22.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s87, s88)) | (~always25(s87)) | always25(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s87, s88)) | (~always25(s87)) | always25(s88))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16763,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s87, s88)) | (~always25(s87)) | always25(s88))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16764,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s87, s88)) | (~always25(s87)) | always25(s88)),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16763, 16762])).
% 21.66/22.02 tff(16765,plain,
% 21.66/22.02 ((~always25(s87)) | always25(s88)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16764, 6146, 7386])).
% 21.66/22.02 tff(16766,plain,
% 21.66/22.02 (~always25(s87)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16765, 16761])).
% 21.66/22.02 tff(16767,plain,
% 21.66/22.02 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16768,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16769,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 21.66/22.02 tff(16770,plain,
% 21.66/22.02 (~node26(s87)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16769, 6122, 16766])).
% 21.66/22.02 tff(16771,plain,
% 21.66/22.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s86, s87)) | (~always25(s86)) | always25(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s86, s87)) | (~always25(s86)) | always25(s87))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16772,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s86, s87)) | (~always25(s86)) | always25(s87))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16773,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s86, s87)) | (~always25(s86)) | always25(s87)),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 21.66/22.02 tff(16774,plain,
% 21.66/22.02 ((~always25(s86)) | always25(s87)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16773, 6146, 7311])).
% 21.66/22.02 tff(16775,plain,
% 21.66/22.02 (~always25(s86)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16774, 16766])).
% 21.66/22.02 tff(16776,plain,
% 21.66/22.02 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16777,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16778,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16777, 16776])).
% 21.66/22.02 tff(16779,plain,
% 21.66/22.02 (~node26(s86)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16778, 6122, 16775])).
% 21.66/22.02 tff(16780,plain,
% 21.66/22.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s85, c_t2) | (~node26(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s85, c_t2) | (~node26(s85)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16781,plain,
% 21.66/22.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s85, c_t2) | (~node26(s85)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16782,plain,
% 21.66/22.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s85, c_t2) | (~node26(s85))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16781, 16780])).
% 21.66/22.02 tff(16783,plain,
% 21.66/22.02 (~node26(s85)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16782, 15967, 7236])).
% 21.66/22.02 tff(16784,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s84)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16785,plain,
% 21.66/22.02 (((~m_main_v_state2(s84, c_c2)) | (~always25(s84))) <=> ((~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16786,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s84)) | (~m_main_v_state2(s84, c_c2))))),
% 21.66/22.02 inference(monotonicity,[status(thm)],[16785])).
% 21.66/22.02 tff(16787,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 21.66/22.02 inference(transitivity,[status(thm)],[16786, 16784])).
% 21.66/22.02 tff(16788,plain,
% 21.66/22.02 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16789,plain,
% 21.66/22.02 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 21.66/22.02 tff(16790,plain,
% 21.66/22.02 (~always25(s84)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16789, 6106, 7100])).
% 21.66/22.02 tff(16791,plain,
% 21.66/22.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s83, s84)) | (~always25(s83)) | always25(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s83, s84)) | (~always25(s83)) | always25(s84))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16792,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s83, s84)) | (~always25(s83)) | always25(s84))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16793,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s83, s84)) | (~always25(s83)) | always25(s84)),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 21.66/22.02 tff(16794,plain,
% 21.66/22.02 ((~always25(s83)) | always25(s84)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16793, 6146, 7091])).
% 21.66/22.02 tff(16795,plain,
% 21.66/22.02 (~always25(s83)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16794, 16790])).
% 21.66/22.02 tff(16796,plain,
% 21.66/22.02 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16797,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16798,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16797, 16796])).
% 21.66/22.02 tff(16799,plain,
% 21.66/22.02 (~node26(s83)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16798, 6122, 16795])).
% 21.66/22.02 tff(16800,plain,
% 21.66/22.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s82, s83)) | (~always25(s82)) | always25(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s82, s83)) | (~always25(s82)) | always25(s83))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16801,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s82, s83)) | (~always25(s82)) | always25(s83))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16802,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s82, s83)) | (~always25(s82)) | always25(s83)),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16801, 16800])).
% 21.66/22.02 tff(16803,plain,
% 21.66/22.02 ((~always25(s82)) | always25(s83)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16802, 6146, 7013])).
% 21.66/22.02 tff(16804,plain,
% 21.66/22.02 (~always25(s82)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16803, 16795])).
% 21.66/22.02 tff(16805,plain,
% 21.66/22.02 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16806,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16807,plain,
% 21.66/22.02 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 21.66/22.02 tff(16808,plain,
% 21.66/22.02 (~node26(s82)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16807, 6122, 16804])).
% 21.66/22.02 tff(16809,plain,
% 21.66/22.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s81, c_t2) | (~node26(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s81, c_t2) | (~node26(s81)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16810,plain,
% 21.66/22.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s81, c_t2) | (~node26(s81)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16811,plain,
% 21.66/22.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s81, c_t2) | (~node26(s81))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 21.66/22.02 tff(16812,plain,
% 21.66/22.02 (~node26(s81)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16811, 15967, 6903])).
% 21.66/22.02 tff(16813,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s80)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16814,plain,
% 21.66/22.02 (((~m_main_v_state2(s80, c_c2)) | (~always25(s80))) <=> ((~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16815,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s80)) | (~m_main_v_state2(s80, c_c2))))),
% 21.66/22.02 inference(monotonicity,[status(thm)],[16814])).
% 21.66/22.02 tff(16816,plain,
% 21.66/22.02 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 21.66/22.02 inference(transitivity,[status(thm)],[16815, 16813])).
% 21.66/22.02 tff(16817,plain,
% 21.66/22.02 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16818,plain,
% 21.66/22.02 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2))),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 21.66/22.02 tff(16819,plain,
% 21.66/22.02 (~always25(s80)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16818, 6106, 6832])).
% 21.66/22.02 tff(16820,plain,
% 21.66/22.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s79, s80)) | (~always25(s79)) | always25(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s79, s80)) | (~always25(s79)) | always25(s80))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16821,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s79, s80)) | (~always25(s79)) | always25(s80))),
% 21.66/22.02 inference(quant_inst,[status(thm)],[])).
% 21.66/22.02 tff(16822,plain,
% 21.66/22.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s79, s80)) | (~always25(s79)) | always25(s80)),
% 21.66/22.02 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 21.66/22.02 tff(16823,plain,
% 21.66/22.02 ((~always25(s79)) | always25(s80)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16822, 6146, 6758])).
% 21.66/22.02 tff(16824,plain,
% 21.66/22.02 (~always25(s79)),
% 21.66/22.02 inference(unit_resolution,[status(thm)],[16823, 16819])).
% 21.66/22.02 tff(16825,plain,
% 21.66/22.02 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79)))),
% 21.66/22.02 inference(rewrite,[status(thm)],[])).
% 21.66/22.02 tff(16826,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16827,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 21.66/22.03 tff(16828,plain,
% 21.66/22.03 (~node26(s79)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16827, 6122, 16824])).
% 21.66/22.03 tff(16829,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s78, s79)) | (~always25(s78)) | always25(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s78, s79)) | (~always25(s78)) | always25(s79))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16830,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s78, s79)) | (~always25(s78)) | always25(s79))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16831,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s78, s79)) | (~always25(s78)) | always25(s79)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16830, 16829])).
% 21.66/22.03 tff(16832,plain,
% 21.66/22.03 ((~always25(s78)) | always25(s79)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16831, 6146, 6683])).
% 21.66/22.03 tff(16833,plain,
% 21.66/22.03 (~always25(s78)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16832, 16824])).
% 21.66/22.03 tff(16834,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16835,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16836,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 21.66/22.03 tff(16837,plain,
% 21.66/22.03 (~node26(s78)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16836, 6122, 16833])).
% 21.66/22.03 tff(16838,plain,
% 21.66/22.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s77, c_t2) | (~node26(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s77, c_t2) | (~node26(s77)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16839,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s77, c_t2) | (~node26(s77)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16840,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s77, c_t2) | (~node26(s77))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 21.66/22.03 tff(16841,plain,
% 21.66/22.03 (~node26(s77)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16840, 15967, 6608])).
% 21.66/22.03 tff(16842,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s76)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16843,plain,
% 21.66/22.03 (((~m_main_v_state2(s76, c_c2)) | (~always25(s76))) <=> ((~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16844,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s76)) | (~m_main_v_state2(s76, c_c2))))),
% 21.66/22.03 inference(monotonicity,[status(thm)],[16843])).
% 21.66/22.03 tff(16845,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 21.66/22.03 inference(transitivity,[status(thm)],[16844, 16842])).
% 21.66/22.03 tff(16846,plain,
% 21.66/22.03 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16847,plain,
% 21.66/22.03 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16846, 16845])).
% 21.66/22.03 tff(16848,plain,
% 21.66/22.03 (~always25(s76)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16847, 6106, 6472])).
% 21.66/22.03 tff(16849,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s75, s76)) | (~always25(s75)) | always25(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s75, s76)) | (~always25(s75)) | always25(s76))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16850,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s75, s76)) | (~always25(s75)) | always25(s76))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16851,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s75, s76)) | (~always25(s75)) | always25(s76)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16850, 16849])).
% 21.66/22.03 tff(16852,plain,
% 21.66/22.03 ((~always25(s75)) | always25(s76)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16851, 6146, 6463])).
% 21.66/22.03 tff(16853,plain,
% 21.66/22.03 (~always25(s75)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16852, 16848])).
% 21.66/22.03 tff(16854,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16855,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16856,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 21.66/22.03 tff(16857,plain,
% 21.66/22.03 (~node26(s75)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16856, 6122, 16853])).
% 21.66/22.03 tff(16858,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s74, s75)) | (~always25(s74)) | always25(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s74, s75)) | (~always25(s74)) | always25(s75))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16859,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s74, s75)) | (~always25(s74)) | always25(s75))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16860,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s74, s75)) | (~always25(s74)) | always25(s75)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16859, 16858])).
% 21.66/22.03 tff(16861,plain,
% 21.66/22.03 ((~always25(s74)) | always25(s75)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16860, 6146, 6385])).
% 21.66/22.03 tff(16862,plain,
% 21.66/22.03 (~always25(s74)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16861, 16853])).
% 21.66/22.03 tff(16863,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16864,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16865,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16864, 16863])).
% 21.66/22.03 tff(16866,plain,
% 21.66/22.03 (~node26(s74)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16865, 6122, 16862])).
% 21.66/22.03 tff(16867,plain,
% 21.66/22.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s73, c_t2) | (~node26(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s73, c_t2) | (~node26(s73)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16868,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s73, c_t2) | (~node26(s73)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16869,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s73, c_t2) | (~node26(s73))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 21.66/22.03 tff(16870,plain,
% 21.66/22.03 (~node26(s73)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16869, 15967, 6275])).
% 21.66/22.03 tff(16871,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s71, s72)) | (~always25(s71)) | always25(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s71, s72)) | (~always25(s71)) | always25(s72))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16872,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s71, s72)) | (~always25(s71)) | always25(s72))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16873,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s71, s72)) | (~always25(s71)) | always25(s72)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16872, 16871])).
% 21.66/22.03 tff(16874,plain,
% 21.66/22.03 ((~always25(s71)) | always25(s72)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16873, 6146, 6090])).
% 21.66/22.03 tff(16875,plain,
% 21.66/22.03 (~always25(s71)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16874, 6113])).
% 21.66/22.03 tff(16876,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16877,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16878,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16877, 16876])).
% 21.66/22.03 tff(16879,plain,
% 21.66/22.03 (~node26(s71)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16878, 6122, 16875])).
% 21.66/22.03 tff(16880,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s70, s71)) | (~always25(s70)) | always25(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s70, s71)) | (~always25(s70)) | always25(s71))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16881,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s70, s71)) | (~always25(s70)) | always25(s71))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16882,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s70, s71)) | (~always25(s70)) | always25(s71)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16881, 16880])).
% 21.66/22.03 tff(16883,plain,
% 21.66/22.03 ((~always25(s70)) | always25(s71)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16882, 6146, 6012])).
% 21.66/22.03 tff(16884,plain,
% 21.66/22.03 (~always25(s70)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16883, 16875])).
% 21.66/22.03 tff(16885,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16886,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16887,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 21.66/22.03 tff(16888,plain,
% 21.66/22.03 (~node26(s70)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16887, 6122, 16884])).
% 21.66/22.03 tff(16889,plain,
% 21.66/22.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s69, c_t2) | (~node26(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s69, c_t2) | (~node26(s69)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16890,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s69, c_t2) | (~node26(s69)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16891,plain,
% 21.66/22.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s69, c_t2) | (~node26(s69))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 21.66/22.03 tff(16892,plain,
% 21.66/22.03 (~node26(s69)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16891, 15967, 5902])).
% 21.66/22.03 tff(16893,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s68)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16894,plain,
% 21.66/22.03 (((~m_main_v_state2(s68, c_c2)) | (~always25(s68))) <=> ((~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16895,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s68)) | (~m_main_v_state2(s68, c_c2))))),
% 21.66/22.03 inference(monotonicity,[status(thm)],[16894])).
% 21.66/22.03 tff(16896,plain,
% 21.66/22.03 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 21.66/22.03 inference(transitivity,[status(thm)],[16895, 16893])).
% 21.66/22.03 tff(16897,plain,
% 21.66/22.03 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16898,plain,
% 21.66/22.03 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16897, 16896])).
% 21.66/22.03 tff(16899,plain,
% 21.66/22.03 (~always25(s68)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16898, 6106, 5831])).
% 21.66/22.03 tff(16900,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s67, s68)) | (~always25(s67)) | always25(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s67, s68)) | (~always25(s67)) | always25(s68))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16901,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s67, s68)) | (~always25(s67)) | always25(s68))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16902,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s67, s68)) | (~always25(s67)) | always25(s68)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16901, 16900])).
% 21.66/22.03 tff(16903,plain,
% 21.66/22.03 ((~always25(s67)) | always25(s68)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16902, 6146, 5757])).
% 21.66/22.03 tff(16904,plain,
% 21.66/22.03 (~always25(s67)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16903, 16899])).
% 21.66/22.03 tff(16905,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67)))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16906,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16907,plain,
% 21.66/22.03 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67))),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 21.66/22.03 tff(16908,plain,
% 21.66/22.03 (~node26(s67)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16907, 6122, 16904])).
% 21.66/22.03 tff(16909,plain,
% 21.66/22.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s66, s67)) | (~always25(s66)) | always25(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s66, s67)) | (~always25(s66)) | always25(s67))),
% 21.66/22.03 inference(rewrite,[status(thm)],[])).
% 21.66/22.03 tff(16910,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s66, s67)) | (~always25(s66)) | always25(s67))),
% 21.66/22.03 inference(quant_inst,[status(thm)],[])).
% 21.66/22.03 tff(16911,plain,
% 21.66/22.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s66, s67)) | (~always25(s66)) | always25(s67)),
% 21.66/22.03 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 21.66/22.03 tff(16912,plain,
% 21.66/22.03 ((~always25(s66)) | always25(s67)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16911, 6146, 5682])).
% 21.66/22.03 tff(16913,plain,
% 21.66/22.03 (~always25(s66)),
% 21.66/22.03 inference(unit_resolution,[status(thm)],[16912, 16904])).
% 21.66/22.03 tff(16914,plain,
% 21.66/22.03 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16915,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16916,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16915, 16914])).
% 21.66/22.04 tff(16917,plain,
% 21.66/22.04 (~node26(s66)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16916, 6122, 16913])).
% 21.66/22.04 tff(16918,plain,
% 21.66/22.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s65, c_t2) | (~node26(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s65, c_t2) | (~node26(s65)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16919,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s65, c_t2) | (~node26(s65)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16920,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s65, c_t2) | (~node26(s65))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 21.66/22.04 tff(16921,plain,
% 21.66/22.04 (~node26(s65)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16920, 15967, 5607])).
% 21.66/22.04 tff(16922,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16923,plain,
% 21.66/22.04 (((~m_main_v_state2(s64, c_c2)) | (~always25(s64))) <=> ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16924,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2))))),
% 21.66/22.04 inference(monotonicity,[status(thm)],[16923])).
% 21.66/22.04 tff(16925,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 21.66/22.04 inference(transitivity,[status(thm)],[16924, 16922])).
% 21.66/22.04 tff(16926,plain,
% 21.66/22.04 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16927,plain,
% 21.66/22.04 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16926, 16925])).
% 21.66/22.04 tff(16928,plain,
% 21.66/22.04 (~always25(s64)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16927, 6106, 5471])).
% 21.66/22.04 tff(16929,plain,
% 21.66/22.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16930,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16931,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s63, s64)) | (~always25(s63)) | always25(s64)),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 21.66/22.04 tff(16932,plain,
% 21.66/22.04 ((~always25(s63)) | always25(s64)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16931, 6146, 5462])).
% 21.66/22.04 tff(16933,plain,
% 21.66/22.04 (~always25(s63)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16932, 16928])).
% 21.66/22.04 tff(16934,plain,
% 21.66/22.04 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16935,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16936,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 21.66/22.04 tff(16937,plain,
% 21.66/22.04 (~node26(s63)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16936, 6122, 16933])).
% 21.66/22.04 tff(16938,plain,
% 21.66/22.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16939,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16940,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63)),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16939, 16938])).
% 21.66/22.04 tff(16941,plain,
% 21.66/22.04 ((~always25(s62)) | always25(s63)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16940, 6146, 5384])).
% 21.66/22.04 tff(16942,plain,
% 21.66/22.04 (~always25(s62)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16941, 16933])).
% 21.66/22.04 tff(16943,plain,
% 21.66/22.04 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16944,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16945,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16944, 16943])).
% 21.66/22.04 tff(16946,plain,
% 21.66/22.04 (~node26(s62)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16945, 6122, 16942])).
% 21.66/22.04 tff(16947,plain,
% 21.66/22.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16948,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16949,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 21.66/22.04 tff(16950,plain,
% 21.66/22.04 (~node26(s61)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16949, 15967, 5274])).
% 21.66/22.04 tff(16951,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16952,plain,
% 21.66/22.04 (((~m_main_v_state2(s60, c_c2)) | (~always25(s60))) <=> ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16953,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2))))),
% 21.66/22.04 inference(monotonicity,[status(thm)],[16952])).
% 21.66/22.04 tff(16954,plain,
% 21.66/22.04 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 21.66/22.04 inference(transitivity,[status(thm)],[16953, 16951])).
% 21.66/22.04 tff(16955,plain,
% 21.66/22.04 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16956,plain,
% 21.66/22.04 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16955, 16954])).
% 21.66/22.04 tff(16957,plain,
% 21.66/22.04 (~always25(s60)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16956, 6106, 5203])).
% 21.66/22.04 tff(16958,plain,
% 21.66/22.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16959,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16960,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60)),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16959, 16958])).
% 21.66/22.04 tff(16961,plain,
% 21.66/22.04 ((~always25(s59)) | always25(s60)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16960, 6146, 5129])).
% 21.66/22.04 tff(16962,plain,
% 21.66/22.04 (~always25(s59)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16961, 16957])).
% 21.66/22.04 tff(16963,plain,
% 21.66/22.04 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16964,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16965,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16964, 16963])).
% 21.66/22.04 tff(16966,plain,
% 21.66/22.04 (~node26(s59)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16965, 6122, 16962])).
% 21.66/22.04 tff(16967,plain,
% 21.66/22.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16968,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16969,plain,
% 21.66/22.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59)),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16968, 16967])).
% 21.66/22.04 tff(16970,plain,
% 21.66/22.04 ((~always25(s58)) | always25(s59)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16969, 6146, 5054])).
% 21.66/22.04 tff(16971,plain,
% 21.66/22.04 (~always25(s58)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16970, 16962])).
% 21.66/22.04 tff(16972,plain,
% 21.66/22.04 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16973,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16974,plain,
% 21.66/22.04 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 21.66/22.04 tff(16975,plain,
% 21.66/22.04 (~node26(s58)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16974, 6122, 16971])).
% 21.66/22.04 tff(16976,plain,
% 21.66/22.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 21.66/22.04 inference(rewrite,[status(thm)],[])).
% 21.66/22.04 tff(16977,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 21.66/22.04 inference(quant_inst,[status(thm)],[])).
% 21.66/22.04 tff(16978,plain,
% 21.66/22.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57))),
% 21.66/22.04 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 21.66/22.04 tff(16979,plain,
% 21.66/22.04 (~node26(s57)),
% 21.66/22.04 inference(unit_resolution,[status(thm)],[16978, 15967, 4979])).
% 21.66/22.05 tff(16980,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(16981,plain,
% 21.66/22.05 (((~m_main_v_state2(s56, c_c2)) | (~always25(s56))) <=> ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(16982,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2))))),
% 21.66/22.05 inference(monotonicity,[status(thm)],[16981])).
% 21.66/22.05 tff(16983,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 21.66/22.05 inference(transitivity,[status(thm)],[16982, 16980])).
% 21.66/22.05 tff(16984,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(16985,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[16984, 16983])).
% 21.66/22.05 tff(16986,plain,
% 21.66/22.05 (~always25(s56)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16985, 6106, 4843])).
% 21.66/22.05 tff(16987,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(16988,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(16989,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 21.66/22.05 tff(16990,plain,
% 21.66/22.05 ((~always25(s55)) | always25(s56)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16989, 6146, 4834])).
% 21.66/22.05 tff(16991,plain,
% 21.66/22.05 (~always25(s55)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16990, 16986])).
% 21.66/22.05 tff(16992,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(16993,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(16994,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 21.66/22.05 tff(16995,plain,
% 21.66/22.05 (~node26(s55)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16994, 6122, 16991])).
% 21.66/22.05 tff(16996,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(16997,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(16998,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 21.66/22.05 tff(16999,plain,
% 21.66/22.05 ((~always25(s54)) | always25(s55)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16998, 6146, 4756])).
% 21.66/22.05 tff(17000,plain,
% 21.66/22.05 (~always25(s54)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[16999, 16991])).
% 21.66/22.05 tff(17001,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17002,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17003,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 21.66/22.05 tff(17004,plain,
% 21.66/22.05 (~node26(s54)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17003, 6122, 17000])).
% 21.66/22.05 tff(17005,plain,
% 21.66/22.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17006,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17007,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 21.66/22.05 tff(17008,plain,
% 21.66/22.05 (~node26(s53)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17007, 15967, 4646])).
% 21.66/22.05 tff(17009,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17010,plain,
% 21.66/22.05 (((~m_main_v_state2(s52, c_c2)) | (~always25(s52))) <=> ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17011,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2))))),
% 21.66/22.05 inference(monotonicity,[status(thm)],[17010])).
% 21.66/22.05 tff(17012,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 21.66/22.05 inference(transitivity,[status(thm)],[17011, 17009])).
% 21.66/22.05 tff(17013,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17014,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17013, 17012])).
% 21.66/22.05 tff(17015,plain,
% 21.66/22.05 (~always25(s52)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17014, 6106, 4575])).
% 21.66/22.05 tff(17016,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17017,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17018,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 21.66/22.05 tff(17019,plain,
% 21.66/22.05 ((~always25(s51)) | always25(s52)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17018, 6146, 4501])).
% 21.66/22.05 tff(17020,plain,
% 21.66/22.05 (~always25(s51)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17019, 17015])).
% 21.66/22.05 tff(17021,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17022,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17023,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 21.66/22.05 tff(17024,plain,
% 21.66/22.05 (~node26(s51)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17023, 6122, 17020])).
% 21.66/22.05 tff(17025,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17026,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17027,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 21.66/22.05 tff(17028,plain,
% 21.66/22.05 ((~always25(s50)) | always25(s51)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17027, 6146, 4426])).
% 21.66/22.05 tff(17029,plain,
% 21.66/22.05 (~always25(s50)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17028, 17020])).
% 21.66/22.05 tff(17030,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17031,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17032,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 21.66/22.05 tff(17033,plain,
% 21.66/22.05 (~node26(s50)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17032, 6122, 17029])).
% 21.66/22.05 tff(17034,plain,
% 21.66/22.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17035,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17036,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 21.66/22.05 tff(17037,plain,
% 21.66/22.05 (~node26(s49)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17036, 15967, 4351])).
% 21.66/22.05 tff(17038,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17039,plain,
% 21.66/22.05 (((~m_main_v_state2(s48, c_c2)) | (~always25(s48))) <=> ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17040,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2))))),
% 21.66/22.05 inference(monotonicity,[status(thm)],[17039])).
% 21.66/22.05 tff(17041,plain,
% 21.66/22.05 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 21.66/22.05 inference(transitivity,[status(thm)],[17040, 17038])).
% 21.66/22.05 tff(17042,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17043,plain,
% 21.66/22.05 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 21.66/22.05 tff(17044,plain,
% 21.66/22.05 (~always25(s48)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17043, 6106, 4215])).
% 21.66/22.05 tff(17045,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17046,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17047,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17046, 17045])).
% 21.66/22.05 tff(17048,plain,
% 21.66/22.05 ((~always25(s47)) | always25(s48)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17047, 6146, 4206])).
% 21.66/22.05 tff(17049,plain,
% 21.66/22.05 (~always25(s47)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17048, 17044])).
% 21.66/22.05 tff(17050,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17051,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17052,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17051, 17050])).
% 21.66/22.05 tff(17053,plain,
% 21.66/22.05 (~node26(s47)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17052, 6122, 17049])).
% 21.66/22.05 tff(17054,plain,
% 21.66/22.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17055,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17056,plain,
% 21.66/22.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47)),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 21.66/22.05 tff(17057,plain,
% 21.66/22.05 ((~always25(s46)) | always25(s47)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17056, 6146, 4128])).
% 21.66/22.05 tff(17058,plain,
% 21.66/22.05 (~always25(s46)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17057, 17049])).
% 21.66/22.05 tff(17059,plain,
% 21.66/22.05 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17060,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17061,plain,
% 21.66/22.05 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46))),
% 21.66/22.05 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 21.66/22.05 tff(17062,plain,
% 21.66/22.05 (~node26(s46)),
% 21.66/22.05 inference(unit_resolution,[status(thm)],[17061, 6122, 17058])).
% 21.66/22.05 tff(17063,plain,
% 21.66/22.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 21.66/22.05 inference(rewrite,[status(thm)],[])).
% 21.66/22.05 tff(17064,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 21.66/22.05 inference(quant_inst,[status(thm)],[])).
% 21.66/22.05 tff(17065,plain,
% 21.66/22.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17064, 17063])).
% 21.66/22.06 tff(17066,plain,
% 21.66/22.06 (~node26(s45)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17065, 15967, 4018])).
% 21.66/22.06 tff(17067,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17068,plain,
% 21.66/22.06 (((~m_main_v_state2(s44, c_c2)) | (~always25(s44))) <=> ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17069,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2))))),
% 21.66/22.06 inference(monotonicity,[status(thm)],[17068])).
% 21.66/22.06 tff(17070,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 21.66/22.06 inference(transitivity,[status(thm)],[17069, 17067])).
% 21.66/22.06 tff(17071,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17072,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 21.66/22.06 tff(17073,plain,
% 21.66/22.06 (~always25(s44)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17072, 6106, 3947])).
% 21.66/22.06 tff(17074,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17075,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17076,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17075, 17074])).
% 21.66/22.06 tff(17077,plain,
% 21.66/22.06 ((~always25(s43)) | always25(s44)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17076, 6146, 3873])).
% 21.66/22.06 tff(17078,plain,
% 21.66/22.06 (~always25(s43)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17077, 17073])).
% 21.66/22.06 tff(17079,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17080,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17081,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17080, 17079])).
% 21.66/22.06 tff(17082,plain,
% 21.66/22.06 (~node26(s43)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17081, 6122, 17078])).
% 21.66/22.06 tff(17083,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17084,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17085,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 21.66/22.06 tff(17086,plain,
% 21.66/22.06 ((~always25(s42)) | always25(s43)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17085, 6146, 3798])).
% 21.66/22.06 tff(17087,plain,
% 21.66/22.06 (~always25(s42)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17086, 17078])).
% 21.66/22.06 tff(17088,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17089,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17090,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 21.66/22.06 tff(17091,plain,
% 21.66/22.06 (~node26(s42)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17090, 6122, 17087])).
% 21.66/22.06 tff(17092,plain,
% 21.66/22.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17093,plain,
% 21.66/22.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17094,plain,
% 21.66/22.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 21.66/22.06 tff(17095,plain,
% 21.66/22.06 (~node26(s41)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17094, 15967, 3723])).
% 21.66/22.06 tff(17096,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17097,plain,
% 21.66/22.06 (((~m_main_v_state2(s40, c_c2)) | (~always25(s40))) <=> ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17098,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2))))),
% 21.66/22.06 inference(monotonicity,[status(thm)],[17097])).
% 21.66/22.06 tff(17099,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 21.66/22.06 inference(transitivity,[status(thm)],[17098, 17096])).
% 21.66/22.06 tff(17100,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17101,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 21.66/22.06 tff(17102,plain,
% 21.66/22.06 (~always25(s40)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17101, 6106, 3587])).
% 21.66/22.06 tff(17103,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17104,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17105,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 21.66/22.06 tff(17106,plain,
% 21.66/22.06 ((~always25(s39)) | always25(s40)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17105, 6146, 3578])).
% 21.66/22.06 tff(17107,plain,
% 21.66/22.06 (~always25(s39)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17106, 17102])).
% 21.66/22.06 tff(17108,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17109,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17110,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 21.66/22.06 tff(17111,plain,
% 21.66/22.06 (~node26(s39)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17110, 6122, 17107])).
% 21.66/22.06 tff(17112,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17113,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17114,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 21.66/22.06 tff(17115,plain,
% 21.66/22.06 ((~always25(s38)) | always25(s39)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17114, 6146, 3500])).
% 21.66/22.06 tff(17116,plain,
% 21.66/22.06 (~always25(s38)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17115, 17107])).
% 21.66/22.06 tff(17117,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17118,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17119,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 21.66/22.06 tff(17120,plain,
% 21.66/22.06 (~node26(s38)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17119, 6122, 17116])).
% 21.66/22.06 tff(17121,plain,
% 21.66/22.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17122,plain,
% 21.66/22.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17123,plain,
% 21.66/22.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 21.66/22.06 tff(17124,plain,
% 21.66/22.06 (~node26(s37)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17123, 15967, 3390])).
% 21.66/22.06 tff(17125,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17126,plain,
% 21.66/22.06 (((~m_main_v_state2(s36, c_c2)) | (~always25(s36))) <=> ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17127,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2))))),
% 21.66/22.06 inference(monotonicity,[status(thm)],[17126])).
% 21.66/22.06 tff(17128,plain,
% 21.66/22.06 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 21.66/22.06 inference(transitivity,[status(thm)],[17127, 17125])).
% 21.66/22.06 tff(17129,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17130,plain,
% 21.66/22.06 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17129, 17128])).
% 21.66/22.06 tff(17131,plain,
% 21.66/22.06 (~always25(s36)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17130, 6106, 3319])).
% 21.66/22.06 tff(17132,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17133,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17134,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17133, 17132])).
% 21.66/22.06 tff(17135,plain,
% 21.66/22.06 ((~always25(s35)) | always25(s36)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17134, 6146, 3245])).
% 21.66/22.06 tff(17136,plain,
% 21.66/22.06 (~always25(s35)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17135, 17131])).
% 21.66/22.06 tff(17137,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17138,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17139,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17138, 17137])).
% 21.66/22.06 tff(17140,plain,
% 21.66/22.06 (~node26(s35)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17139, 6122, 17136])).
% 21.66/22.06 tff(17141,plain,
% 21.66/22.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17142,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17143,plain,
% 21.66/22.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35)),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 21.66/22.06 tff(17144,plain,
% 21.66/22.06 ((~always25(s34)) | always25(s35)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17143, 6146, 3170])).
% 21.66/22.06 tff(17145,plain,
% 21.66/22.06 (~always25(s34)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17144, 17136])).
% 21.66/22.06 tff(17146,plain,
% 21.66/22.06 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17147,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))),
% 21.66/22.06 inference(quant_inst,[status(thm)],[])).
% 21.66/22.06 tff(17148,plain,
% 21.66/22.06 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34))),
% 21.66/22.06 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 21.66/22.06 tff(17149,plain,
% 21.66/22.06 (~node26(s34)),
% 21.66/22.06 inference(unit_resolution,[status(thm)],[17148, 6122, 17145])).
% 21.66/22.06 tff(17150,plain,
% 21.66/22.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 21.66/22.06 inference(rewrite,[status(thm)],[])).
% 21.66/22.06 tff(17151,plain,
% 21.66/22.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 21.66/22.07 inference(quant_inst,[status(thm)],[])).
% 21.66/22.07 tff(17152,plain,
% 21.66/22.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33))),
% 21.66/22.07 inference(modus_ponens,[status(thm)],[17151, 17150])).
% 21.66/22.07 tff(17153,plain,
% 21.66/22.07 (~node26(s33)),
% 21.66/22.07 inference(unit_resolution,[status(thm)],[17152, 15967, 3095])).
% 21.66/22.07 tff(17154,plain,
% 21.66/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 21.66/22.07 inference(rewrite,[status(thm)],[])).
% 21.66/22.07 tff(17155,plain,
% 21.66/22.07 (((~m_main_v_state2(s32, c_c2)) | (~always25(s32))) <=> ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 21.66/22.07 inference(rewrite,[status(thm)],[])).
% 21.66/22.07 tff(17156,plain,
% 21.66/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2))))),
% 21.66/22.07 inference(monotonicity,[status(thm)],[17155])).
% 21.66/22.07 tff(17157,plain,
% 21.66/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 21.66/22.07 inference(transitivity,[status(thm)],[17156, 17154])).
% 21.66/22.07 tff(17158,plain,
% 21.66/22.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))),
% 21.66/22.07 inference(quant_inst,[status(thm)],[])).
% 21.66/22.07 tff(17159,plain,
% 21.66/22.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2))),
% 21.66/22.07 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 21.66/22.07 tff(17160,plain,
% 21.66/22.07 (~always25(s32)),
% 21.66/22.07 inference(unit_resolution,[status(thm)],[17159, 6106, 2959])).
% 21.66/22.07 tff(17161,plain,
% 21.66/22.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 21.66/22.07 inference(rewrite,[status(thm)],[])).
% 21.66/22.07 tff(17162,plain,
% 21.66/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 21.66/22.07 inference(quant_inst,[status(thm)],[])).
% 21.66/22.07 tff(17163,plain,
% 21.66/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32)),
% 21.66/22.07 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 21.66/22.07 tff(17164,plain,
% 21.66/22.07 ((~always25(s31)) | always25(s32)),
% 21.66/22.07 inference(unit_resolution,[status(thm)],[17163, 6146, 2950])).
% 21.66/22.07 tff(17165,plain,
% 21.66/22.07 (~always25(s31)),
% 21.66/22.07 inference(unit_resolution,[status(thm)],[17164, 17160])).
% 21.66/22.07 tff(17166,plain,
% 21.66/22.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31)))),
% 21.66/22.07 inference(rewrite,[status(thm)],[])).
% 21.66/22.07 tff(17167,plain,
% 21.66/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))),
% 21.66/22.07 inference(quant_inst,[status(thm)],[])).
% 21.66/22.07 tff(17168,plain,
% 21.66/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31))),
% 21.66/22.07 inference(modus_ponens,[status(thm)],[17167, 17166])).
% 21.66/22.07 tff(17169,plain,
% 21.66/22.07 (~node26(s31)),
% 21.66/22.07 inference(unit_resolution,[status(thm)],[17168, 6122, 17165])).
% 21.66/22.07 tff(17170,plain,
% 21.66/22.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 21.66/22.07 inference(rewrite,[status(thm)],[])).
% 21.66/22.07 tff(17171,plain,
% 21.66/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 21.66/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17172,plain,
% 21.75/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31)),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 21.75/22.07 tff(17173,plain,
% 21.75/22.07 ((~always25(s30)) | always25(s31)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17172, 6146, 2872])).
% 21.75/22.07 tff(17174,plain,
% 21.75/22.07 (~always25(s30)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17173, 17165])).
% 21.75/22.07 tff(17175,plain,
% 21.75/22.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17176,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17177,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 21.75/22.07 tff(17178,plain,
% 21.75/22.07 (~node26(s30)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17177, 6122, 17174])).
% 21.75/22.07 tff(17179,plain,
% 21.75/22.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17180,plain,
% 21.75/22.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17181,plain,
% 21.75/22.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 21.75/22.07 tff(17182,plain,
% 21.75/22.07 (~node26(s29)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17181, 15967, 2762])).
% 21.75/22.07 tff(17183,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17184,plain,
% 21.75/22.07 (((~m_main_v_state2(s28, c_c2)) | (~always25(s28))) <=> ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17185,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2))))),
% 21.75/22.07 inference(monotonicity,[status(thm)],[17184])).
% 21.75/22.07 tff(17186,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 21.75/22.07 inference(transitivity,[status(thm)],[17185, 17183])).
% 21.75/22.07 tff(17187,plain,
% 21.75/22.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17188,plain,
% 21.75/22.07 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 21.75/22.07 tff(17189,plain,
% 21.75/22.07 (~always25(s28)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17188, 6106, 2691])).
% 21.75/22.07 tff(17190,plain,
% 21.75/22.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17191,plain,
% 21.75/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17192,plain,
% 21.75/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28)),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 21.75/22.07 tff(17193,plain,
% 21.75/22.07 ((~always25(s27)) | always25(s28)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17192, 6146, 2617])).
% 21.75/22.07 tff(17194,plain,
% 21.75/22.07 (~always25(s27)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17193, 17189])).
% 21.75/22.07 tff(17195,plain,
% 21.75/22.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17196,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17197,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 21.75/22.07 tff(17198,plain,
% 21.75/22.07 (~node26(s27)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17197, 6122, 17194])).
% 21.75/22.07 tff(17199,plain,
% 21.75/22.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17200,plain,
% 21.75/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17201,plain,
% 21.75/22.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27)),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 21.75/22.07 tff(17202,plain,
% 21.75/22.07 ((~always25(s26)) | always25(s27)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17201, 6146, 2542])).
% 21.75/22.07 tff(17203,plain,
% 21.75/22.07 (~always25(s26)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17202, 17194])).
% 21.75/22.07 tff(17204,plain,
% 21.75/22.07 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17205,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17206,plain,
% 21.75/22.07 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 21.75/22.07 tff(17207,plain,
% 21.75/22.07 (~node26(s26)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17206, 6122, 17203])).
% 21.75/22.07 tff(17208,plain,
% 21.75/22.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17209,plain,
% 21.75/22.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 21.75/22.07 inference(quant_inst,[status(thm)],[])).
% 21.75/22.07 tff(17210,plain,
% 21.75/22.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25))),
% 21.75/22.07 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 21.75/22.07 tff(17211,plain,
% 21.75/22.07 (~node26(s25)),
% 21.75/22.07 inference(unit_resolution,[status(thm)],[17210, 15967, 2467])).
% 21.75/22.07 tff(17212,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17213,plain,
% 21.75/22.07 (((~m_main_v_state2(s24, c_c2)) | (~always25(s24))) <=> ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 21.75/22.07 inference(rewrite,[status(thm)],[])).
% 21.75/22.07 tff(17214,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2))))),
% 21.75/22.07 inference(monotonicity,[status(thm)],[17213])).
% 21.75/22.07 tff(17215,plain,
% 21.75/22.07 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 21.75/22.08 inference(transitivity,[status(thm)],[17214, 17212])).
% 21.75/22.08 tff(17216,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17217,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 21.75/22.08 tff(17218,plain,
% 21.75/22.08 (~always25(s24)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17217, 6106, 2331])).
% 21.75/22.08 tff(17219,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17220,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17221,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17220, 17219])).
% 21.75/22.08 tff(17222,plain,
% 21.75/22.08 ((~always25(s23)) | always25(s24)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17221, 6146, 2322])).
% 21.75/22.08 tff(17223,plain,
% 21.75/22.08 (~always25(s23)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17222, 17218])).
% 21.75/22.08 tff(17224,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17225,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17226,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 21.75/22.08 tff(17227,plain,
% 21.75/22.08 (~node26(s23)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17226, 6122, 17223])).
% 21.75/22.08 tff(17228,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17229,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17230,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17229, 17228])).
% 21.75/22.08 tff(17231,plain,
% 21.75/22.08 ((~always25(s22)) | always25(s23)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17230, 6146, 2244])).
% 21.75/22.08 tff(17232,plain,
% 21.75/22.08 (~always25(s22)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17231, 17223])).
% 21.75/22.08 tff(17233,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17234,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17235,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 21.75/22.08 tff(17236,plain,
% 21.75/22.08 (~node26(s22)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17235, 6122, 17232])).
% 21.75/22.08 tff(17237,plain,
% 21.75/22.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17238,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17239,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17238, 17237])).
% 21.75/22.08 tff(17240,plain,
% 21.75/22.08 (~node26(s21)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17239, 15967, 2134])).
% 21.75/22.08 tff(17241,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17242,plain,
% 21.75/22.08 (((~m_main_v_state2(s20, c_c2)) | (~always25(s20))) <=> ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17243,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2))))),
% 21.75/22.08 inference(monotonicity,[status(thm)],[17242])).
% 21.75/22.08 tff(17244,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 21.75/22.08 inference(transitivity,[status(thm)],[17243, 17241])).
% 21.75/22.08 tff(17245,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17246,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17245, 17244])).
% 21.75/22.08 tff(17247,plain,
% 21.75/22.08 (~always25(s20)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17246, 6106, 2063])).
% 21.75/22.08 tff(17248,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17249,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17250,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 21.75/22.08 tff(17251,plain,
% 21.75/22.08 ((~always25(s19)) | always25(s20)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17250, 6146, 1989])).
% 21.75/22.08 tff(17252,plain,
% 21.75/22.08 (~always25(s19)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17251, 17247])).
% 21.75/22.08 tff(17253,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17254,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17255,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 21.75/22.08 tff(17256,plain,
% 21.75/22.08 (~node26(s19)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17255, 6122, 17252])).
% 21.75/22.08 tff(17257,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17258,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17259,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 21.75/22.08 tff(17260,plain,
% 21.75/22.08 ((~always25(s18)) | always25(s19)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17259, 6146, 1914])).
% 21.75/22.08 tff(17261,plain,
% 21.75/22.08 (~always25(s18)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17260, 17252])).
% 21.75/22.08 tff(17262,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17263,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17264,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 21.75/22.08 tff(17265,plain,
% 21.75/22.08 (~node26(s18)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17264, 6122, 17261])).
% 21.75/22.08 tff(17266,plain,
% 21.75/22.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17267,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17268,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 21.75/22.08 tff(17269,plain,
% 21.75/22.08 (~node26(s17)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17268, 15967, 1839])).
% 21.75/22.08 tff(17270,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17271,plain,
% 21.75/22.08 (((~m_main_v_state2(s16, c_c2)) | (~always25(s16))) <=> ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17272,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2))))),
% 21.75/22.08 inference(monotonicity,[status(thm)],[17271])).
% 21.75/22.08 tff(17273,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 21.75/22.08 inference(transitivity,[status(thm)],[17272, 17270])).
% 21.75/22.08 tff(17274,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17275,plain,
% 21.75/22.08 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 21.75/22.08 tff(17276,plain,
% 21.75/22.08 (~always25(s16)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17275, 6106, 1703])).
% 21.75/22.08 tff(17277,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17278,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17279,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 21.75/22.08 tff(17280,plain,
% 21.75/22.08 ((~always25(s15)) | always25(s16)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17279, 6146, 1694])).
% 21.75/22.08 tff(17281,plain,
% 21.75/22.08 (~always25(s15)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17280, 17276])).
% 21.75/22.08 tff(17282,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17283,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17284,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 21.75/22.08 tff(17285,plain,
% 21.75/22.08 (~node26(s15)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17284, 6122, 17281])).
% 21.75/22.08 tff(17286,plain,
% 21.75/22.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17287,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17288,plain,
% 21.75/22.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15)),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 21.75/22.08 tff(17289,plain,
% 21.75/22.08 ((~always25(s14)) | always25(s15)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17288, 6146, 1616])).
% 21.75/22.08 tff(17290,plain,
% 21.75/22.08 (~always25(s14)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17289, 17281])).
% 21.75/22.08 tff(17291,plain,
% 21.75/22.08 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17292,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17293,plain,
% 21.75/22.08 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 21.75/22.08 tff(17294,plain,
% 21.75/22.08 (~node26(s14)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17293, 6122, 17290])).
% 21.75/22.08 tff(17295,plain,
% 21.75/22.08 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17296,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 21.75/22.08 inference(quant_inst,[status(thm)],[])).
% 21.75/22.08 tff(17297,plain,
% 21.75/22.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13))),
% 21.75/22.08 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 21.75/22.08 tff(17298,plain,
% 21.75/22.08 (~node26(s13)),
% 21.75/22.08 inference(unit_resolution,[status(thm)],[17297, 15967, 1506])).
% 21.75/22.08 tff(17299,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17300,plain,
% 21.75/22.08 (((~m_main_v_state2(s12, c_c2)) | (~always25(s12))) <=> ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 21.75/22.08 inference(rewrite,[status(thm)],[])).
% 21.75/22.08 tff(17301,plain,
% 21.75/22.08 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2))))),
% 21.75/22.09 inference(monotonicity,[status(thm)],[17300])).
% 21.75/22.09 tff(17302,plain,
% 21.75/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 21.75/22.09 inference(transitivity,[status(thm)],[17301, 17299])).
% 21.75/22.09 tff(17303,plain,
% 21.75/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))),
% 21.75/22.09 inference(quant_inst,[status(thm)],[])).
% 21.75/22.09 tff(17304,plain,
% 21.75/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2))),
% 21.75/22.09 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 21.75/22.09 tff(17305,plain,
% 21.75/22.09 (~always25(s12)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17304, 6106, 1435])).
% 21.75/22.09 tff(17306,plain,
% 21.75/22.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 21.75/22.09 inference(rewrite,[status(thm)],[])).
% 21.75/22.09 tff(17307,plain,
% 21.75/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 21.75/22.09 inference(quant_inst,[status(thm)],[])).
% 21.75/22.09 tff(17308,plain,
% 21.75/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12)),
% 21.75/22.09 inference(modus_ponens,[status(thm)],[17307, 17306])).
% 21.75/22.09 tff(17309,plain,
% 21.75/22.09 ((~always25(s11)) | always25(s12)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17308, 6146, 1361])).
% 21.75/22.09 tff(17310,plain,
% 21.75/22.09 (~always25(s11)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17309, 17305])).
% 21.75/22.09 tff(17311,plain,
% 21.75/22.09 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11)))),
% 21.75/22.09 inference(rewrite,[status(thm)],[])).
% 21.75/22.09 tff(17312,plain,
% 21.75/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))),
% 21.75/22.09 inference(quant_inst,[status(thm)],[])).
% 21.75/22.09 tff(17313,plain,
% 21.75/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11))),
% 21.75/22.09 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 21.75/22.09 tff(17314,plain,
% 21.75/22.09 (~node26(s11)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17313, 6122, 17310])).
% 21.75/22.09 tff(17315,plain,
% 21.75/22.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 21.75/22.09 inference(rewrite,[status(thm)],[])).
% 21.75/22.09 tff(17316,plain,
% 21.75/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 21.75/22.09 inference(quant_inst,[status(thm)],[])).
% 21.75/22.09 tff(17317,plain,
% 21.75/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11)),
% 21.75/22.09 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 21.75/22.09 tff(17318,plain,
% 21.75/22.09 ((~always25(s10)) | always25(s11)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17317, 6146, 1286])).
% 21.75/22.09 tff(17319,plain,
% 21.75/22.09 (~always25(s10)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17318, 17310])).
% 21.75/22.09 tff(17320,plain,
% 21.75/22.09 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10)))),
% 21.75/22.09 inference(rewrite,[status(thm)],[])).
% 21.75/22.09 tff(17321,plain,
% 21.75/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))),
% 21.75/22.09 inference(quant_inst,[status(thm)],[])).
% 21.75/22.09 tff(17322,plain,
% 21.75/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10))),
% 21.75/22.09 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 21.75/22.09 tff(17323,plain,
% 21.75/22.09 (~node26(s10)),
% 21.75/22.09 inference(unit_resolution,[status(thm)],[17322, 6122, 17319])).
% 21.75/22.09 tff(17324,plain,
% 21.75/22.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17325,plain,
% 21.76/22.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17326,plain,
% 21.76/22.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 21.76/22.09 tff(17327,plain,
% 21.76/22.09 (~node26(s9)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17326, 15967, 1211])).
% 21.76/22.09 tff(17328,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17329,plain,
% 21.76/22.09 (((~m_main_v_state2(s8, c_c2)) | (~always25(s8))) <=> ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17330,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2))))),
% 21.76/22.09 inference(monotonicity,[status(thm)],[17329])).
% 21.76/22.09 tff(17331,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 21.76/22.09 inference(transitivity,[status(thm)],[17330, 17328])).
% 21.76/22.09 tff(17332,plain,
% 21.76/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17333,plain,
% 21.76/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17332, 17331])).
% 21.76/22.09 tff(17334,plain,
% 21.76/22.09 (~always25(s8)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17333, 6106, 1075])).
% 21.76/22.09 tff(17335,plain,
% 21.76/22.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17336,plain,
% 21.76/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17337,plain,
% 21.76/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8)),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 21.76/22.09 tff(17338,plain,
% 21.76/22.09 ((~always25(s7)) | always25(s8)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17337, 6146, 1066])).
% 21.76/22.09 tff(17339,plain,
% 21.76/22.09 (~always25(s7)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17338, 17334])).
% 21.76/22.09 tff(17340,plain,
% 21.76/22.09 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17341,plain,
% 21.76/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17342,plain,
% 21.76/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 21.76/22.09 tff(17343,plain,
% 21.76/22.09 (~node26(s7)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17342, 6122, 17339])).
% 21.76/22.09 tff(17344,plain,
% 21.76/22.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17345,plain,
% 21.76/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17346,plain,
% 21.76/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7)),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 21.76/22.09 tff(17347,plain,
% 21.76/22.09 ((~always25(s6)) | always25(s7)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17346, 6146, 988])).
% 21.76/22.09 tff(17348,plain,
% 21.76/22.09 (~always25(s6)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17347, 17339])).
% 21.76/22.09 tff(17349,plain,
% 21.76/22.09 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17350,plain,
% 21.76/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17351,plain,
% 21.76/22.09 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 21.76/22.09 tff(17352,plain,
% 21.76/22.09 (~node26(s6)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17351, 6122, 17348])).
% 21.76/22.09 tff(17353,plain,
% 21.76/22.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17354,plain,
% 21.76/22.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17355,plain,
% 21.76/22.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17354, 17353])).
% 21.76/22.09 tff(17356,plain,
% 21.76/22.09 (~node26(s5)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17355, 15967, 838])).
% 21.76/22.09 tff(17357,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17358,plain,
% 21.76/22.09 (((~m_main_v_state2(s4, c_c2)) | (~always25(s4))) <=> ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17359,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2))))),
% 21.76/22.09 inference(monotonicity,[status(thm)],[17358])).
% 21.76/22.09 tff(17360,plain,
% 21.76/22.09 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 21.76/22.09 inference(transitivity,[status(thm)],[17359, 17357])).
% 21.76/22.09 tff(17361,plain,
% 21.76/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.09 tff(17362,plain,
% 21.76/22.09 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2))),
% 21.76/22.09 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 21.76/22.09 tff(17363,plain,
% 21.76/22.09 (~always25(s4)),
% 21.76/22.09 inference(unit_resolution,[status(thm)],[17362, 6106, 709])).
% 21.76/22.09 tff(17364,plain,
% 21.76/22.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 21.76/22.09 inference(rewrite,[status(thm)],[])).
% 21.76/22.09 tff(17365,plain,
% 21.76/22.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 21.76/22.09 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17366,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 21.76/22.10 tff(17367,plain,
% 21.76/22.10 ((~always25(s3)) | always25(s4)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17366, 6146, 584])).
% 21.76/22.10 tff(17368,plain,
% 21.76/22.10 (~always25(s3)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17367, 17363])).
% 21.76/22.10 tff(17369,plain,
% 21.76/22.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17370,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17371,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 21.76/22.10 tff(17372,plain,
% 21.76/22.10 ((~always25(s2)) | always25(s3)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17371, 6146, 464])).
% 21.76/22.10 tff(17373,plain,
% 21.76/22.10 (~always25(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17372, 17368])).
% 21.76/22.10 tff(17374,plain,
% 21.76/22.10 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17375,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17376,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 21.76/22.10 tff(17377,plain,
% 21.76/22.10 (~node26(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17376, 6122, 17373])).
% 21.76/22.10 tff(17378,plain,
% 21.76/22.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17379,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17380,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17379, 17378])).
% 21.76/22.10 tff(17381,plain,
% 21.76/22.10 ((~always25(s1)) | always25(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17380, 6146, 260])).
% 21.76/22.10 tff(17382,plain,
% 21.76/22.10 (~always25(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17381, 17373])).
% 21.76/22.10 tff(17383,plain,
% 21.76/22.10 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17384,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17385,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 21.76/22.10 tff(17386,plain,
% 21.76/22.10 (~node26(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17385, 6122, 17382])).
% 21.76/22.10 tff(17387,plain,
% 21.76/22.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17388,plain,
% 21.76/22.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17389,plain,
% 21.76/22.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 21.76/22.10 tff(17390,plain,
% 21.76/22.10 (~node26(s0)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17389, 15967, 14])).
% 21.76/22.10 tff(17391,plain,
% 21.76/22.10 (until27(s0) <=> until27(s0)),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17392,axiom,(until27(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty26')).
% 21.76/22.10 tff(17393,plain,
% 21.76/22.10 (until27(s0)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 21.76/22.10 tff(17394,plain,
% 21.76/22.10 (^[X: $i] : refl((node26(X) | (~until27(X)) | xuntil28(X)) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 21.76/22.10 inference(bind,[status(th)],[])).
% 21.76/22.10 tff(17395,plain,
% 21.76/22.10 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(quant_intro,[status(thm)],[17394])).
% 21.76/22.10 tff(17396,plain,
% 21.76/22.10 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17397,plain,
% 21.76/22.10 (^[X: $i] : rewrite(((node26(X) | xuntil28(X)) | (~until27(X))) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 21.76/22.10 inference(bind,[status(th)],[])).
% 21.76/22.10 tff(17398,plain,
% 21.76/22.10 (![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X))) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(quant_intro,[status(thm)],[17397])).
% 21.76/22.10 tff(17399,axiom,(![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty19')).
% 21.76/22.10 tff(17400,plain,
% 21.76/22.10 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 21.76/22.10 tff(17401,plain,
% 21.76/22.10 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17400, 17396])).
% 21.76/22.10 tff(17402,plain,(
% 21.76/22.10 ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(skolemize,[status(sab)],[17401])).
% 21.76/22.10 tff(17403,plain,
% 21.76/22.10 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17402, 17395])).
% 21.76/22.10 tff(17404,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17405,plain,
% 21.76/22.10 ((node26(s0) | (~until27(s0)) | xuntil28(s0)) <=> (xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17406,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0))))),
% 21.76/22.10 inference(monotonicity,[status(thm)],[17405])).
% 21.76/22.10 tff(17407,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 21.76/22.10 inference(transitivity,[status(thm)],[17406, 17404])).
% 21.76/22.10 tff(17408,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17409,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 21.76/22.10 tff(17410,plain,
% 21.76/22.10 (xuntil28(s0) | node26(s0)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17409, 17403, 17393])).
% 21.76/22.10 tff(17411,plain,
% 21.76/22.10 (xuntil28(s0)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17410, 17390])).
% 21.76/22.10 tff(17412,plain,
% 21.76/22.10 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 21.76/22.10 inference(bind,[status(th)],[])).
% 21.76/22.10 tff(17413,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(quant_intro,[status(thm)],[17412])).
% 21.76/22.10 tff(17414,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17415,plain,
% 21.76/22.10 (^[Y: $i, X: $i] : rewrite(((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 21.76/22.10 inference(bind,[status(th)],[])).
% 21.76/22.10 tff(17416,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(quant_intro,[status(thm)],[17415])).
% 21.76/22.10 tff(17417,axiom,(![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty20')).
% 21.76/22.10 tff(17418,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 21.76/22.10 tff(17419,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17418, 17414])).
% 21.76/22.10 tff(17420,plain,(
% 21.76/22.10 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(skolemize,[status(sab)],[17419])).
% 21.76/22.10 tff(17421,plain,
% 21.76/22.10 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17420, 17413])).
% 21.76/22.10 tff(17422,plain,
% 21.76/22.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17423,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17424,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17423, 17422])).
% 21.76/22.10 tff(17425,plain,
% 21.76/22.10 ((~xuntil28(s0)) | until27(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17424, 60, 17421])).
% 21.76/22.10 tff(17426,plain,
% 21.76/22.10 (until27(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17425, 17411])).
% 21.76/22.10 tff(17427,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17428,plain,
% 21.76/22.10 ((node26(s1) | (~until27(s1)) | xuntil28(s1)) <=> (xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17429,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1))))),
% 21.76/22.10 inference(monotonicity,[status(thm)],[17428])).
% 21.76/22.10 tff(17430,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 21.76/22.10 inference(transitivity,[status(thm)],[17429, 17427])).
% 21.76/22.10 tff(17431,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17432,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17431, 17430])).
% 21.76/22.10 tff(17433,plain,
% 21.76/22.10 (xuntil28(s1) | node26(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17432, 17403, 17426])).
% 21.76/22.10 tff(17434,plain,
% 21.76/22.10 (xuntil28(s1)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17433, 17386])).
% 21.76/22.10 tff(17435,plain,
% 21.76/22.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17436,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17437,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 21.76/22.10 tff(17438,plain,
% 21.76/22.10 ((~xuntil28(s1)) | until27(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17437, 256, 17421])).
% 21.76/22.10 tff(17439,plain,
% 21.76/22.10 (until27(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17438, 17434])).
% 21.76/22.10 tff(17440,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17441,plain,
% 21.76/22.10 ((node26(s2) | (~until27(s2)) | xuntil28(s2)) <=> (xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17442,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2))))),
% 21.76/22.10 inference(monotonicity,[status(thm)],[17441])).
% 21.76/22.10 tff(17443,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 21.76/22.10 inference(transitivity,[status(thm)],[17442, 17440])).
% 21.76/22.10 tff(17444,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17445,plain,
% 21.76/22.10 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17444, 17443])).
% 21.76/22.10 tff(17446,plain,
% 21.76/22.10 (xuntil28(s2)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17445, 17403, 17439, 17377])).
% 21.76/22.10 tff(17447,plain,
% 21.76/22.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17448,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17449,plain,
% 21.76/22.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3)),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17448, 17447])).
% 21.76/22.10 tff(17450,plain,
% 21.76/22.10 ((~xuntil28(s2)) | until27(s3)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17449, 460, 17421])).
% 21.76/22.10 tff(17451,plain,
% 21.76/22.10 (until27(s3)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17450, 17446])).
% 21.76/22.10 tff(17452,plain,
% 21.76/22.10 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17453,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))),
% 21.76/22.10 inference(quant_inst,[status(thm)],[])).
% 21.76/22.10 tff(17454,plain,
% 21.76/22.10 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3))),
% 21.76/22.10 inference(modus_ponens,[status(thm)],[17453, 17452])).
% 21.76/22.10 tff(17455,plain,
% 21.76/22.10 (~node26(s3)),
% 21.76/22.10 inference(unit_resolution,[status(thm)],[17454, 6122, 17368])).
% 21.76/22.10 tff(17456,plain,
% 21.76/22.10 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.10 tff(17457,plain,
% 21.76/22.10 ((node26(s3) | (~until27(s3)) | xuntil28(s3)) <=> (xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 21.76/22.10 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17458,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3))))),
% 21.76/22.11 inference(monotonicity,[status(thm)],[17457])).
% 21.76/22.11 tff(17459,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 21.76/22.11 inference(transitivity,[status(thm)],[17458, 17456])).
% 21.76/22.11 tff(17460,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17461,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 21.76/22.11 tff(17462,plain,
% 21.76/22.11 (xuntil28(s3) | (~until27(s3))),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17461, 17403, 17455])).
% 21.76/22.11 tff(17463,plain,
% 21.76/22.11 (xuntil28(s3)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17462, 17451])).
% 21.76/22.11 tff(17464,plain,
% 21.76/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17465,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17466,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4)),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 21.76/22.11 tff(17467,plain,
% 21.76/22.11 ((~xuntil28(s3)) | until27(s4)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17466, 580, 17421])).
% 21.76/22.11 tff(17468,plain,
% 21.76/22.11 (until27(s4)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17467, 17463])).
% 21.76/22.11 tff(17469,plain,
% 21.76/22.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17470,plain,
% 21.76/22.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17471,plain,
% 21.76/22.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17470, 17469])).
% 21.76/22.11 tff(17472,plain,
% 21.76/22.11 (~node26(s4)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17471, 6122, 17363])).
% 21.76/22.11 tff(17473,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17474,plain,
% 21.76/22.11 ((node26(s4) | (~until27(s4)) | xuntil28(s4)) <=> (xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17475,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4))))),
% 21.76/22.11 inference(monotonicity,[status(thm)],[17474])).
% 21.76/22.11 tff(17476,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 21.76/22.11 inference(transitivity,[status(thm)],[17475, 17473])).
% 21.76/22.11 tff(17477,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17478,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17477, 17476])).
% 21.76/22.11 tff(17479,plain,
% 21.76/22.11 (xuntil28(s4) | (~until27(s4))),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17478, 17403, 17472])).
% 21.76/22.11 tff(17480,plain,
% 21.76/22.11 (xuntil28(s4)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17479, 17468])).
% 21.76/22.11 tff(17481,plain,
% 21.76/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17482,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17483,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5)),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 21.76/22.11 tff(17484,plain,
% 21.76/22.11 ((~xuntil28(s4)) | until27(s5)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17483, 727, 17421])).
% 21.76/22.11 tff(17485,plain,
% 21.76/22.11 (until27(s5)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17484, 17480])).
% 21.76/22.11 tff(17486,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17487,plain,
% 21.76/22.11 ((node26(s5) | (~until27(s5)) | xuntil28(s5)) <=> (xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17488,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5))))),
% 21.76/22.11 inference(monotonicity,[status(thm)],[17487])).
% 21.76/22.11 tff(17489,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 21.76/22.11 inference(transitivity,[status(thm)],[17488, 17486])).
% 21.76/22.11 tff(17490,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17491,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 21.76/22.11 tff(17492,plain,
% 21.76/22.11 (xuntil28(s5)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17491, 17403, 17485, 17356])).
% 21.76/22.11 tff(17493,plain,
% 21.76/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17494,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17495,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6)),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17494, 17493])).
% 21.76/22.11 tff(17496,plain,
% 21.76/22.11 ((~xuntil28(s5)) | until27(s6)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17495, 845, 17421])).
% 21.76/22.11 tff(17497,plain,
% 21.76/22.11 (until27(s6)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17496, 17492])).
% 21.76/22.11 tff(17498,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17499,plain,
% 21.76/22.11 ((node26(s6) | (~until27(s6)) | xuntil28(s6)) <=> (xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17500,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6))))),
% 21.76/22.11 inference(monotonicity,[status(thm)],[17499])).
% 21.76/22.11 tff(17501,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 21.76/22.11 inference(transitivity,[status(thm)],[17500, 17498])).
% 21.76/22.11 tff(17502,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17503,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 21.76/22.11 tff(17504,plain,
% 21.76/22.11 (xuntil28(s6) | node26(s6)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17503, 17403, 17497])).
% 21.76/22.11 tff(17505,plain,
% 21.76/22.11 (xuntil28(s6)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17504, 17352])).
% 21.76/22.11 tff(17506,plain,
% 21.76/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17507,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17508,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7)),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17507, 17506])).
% 21.76/22.11 tff(17509,plain,
% 21.76/22.11 ((~xuntil28(s6)) | until27(s7)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17508, 984, 17421])).
% 21.76/22.11 tff(17510,plain,
% 21.76/22.11 (until27(s7)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17509, 17505])).
% 21.76/22.11 tff(17511,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17512,plain,
% 21.76/22.11 ((node26(s7) | (~until27(s7)) | xuntil28(s7)) <=> (xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17513,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7))))),
% 21.76/22.11 inference(monotonicity,[status(thm)],[17512])).
% 21.76/22.11 tff(17514,plain,
% 21.76/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 21.76/22.11 inference(transitivity,[status(thm)],[17513, 17511])).
% 21.76/22.11 tff(17515,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17516,plain,
% 21.76/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7))),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 21.76/22.11 tff(17517,plain,
% 21.76/22.11 (xuntil28(s7)),
% 21.76/22.11 inference(unit_resolution,[status(thm)],[17516, 17403, 17510, 17343])).
% 21.76/22.11 tff(17518,plain,
% 21.76/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 21.76/22.11 inference(rewrite,[status(thm)],[])).
% 21.76/22.11 tff(17519,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 21.76/22.11 inference(quant_inst,[status(thm)],[])).
% 21.76/22.11 tff(17520,plain,
% 21.76/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8)),
% 21.76/22.11 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 21.79/22.11 tff(17521,plain,
% 21.79/22.11 ((~xuntil28(s7)) | until27(s8)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17520, 1062, 17421])).
% 21.79/22.11 tff(17522,plain,
% 21.79/22.11 (until27(s8)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17521, 17517])).
% 21.79/22.11 tff(17523,plain,
% 21.79/22.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8)))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17524,plain,
% 21.79/22.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))),
% 21.79/22.11 inference(quant_inst,[status(thm)],[])).
% 21.79/22.11 tff(17525,plain,
% 21.79/22.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8))),
% 21.79/22.11 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 21.79/22.11 tff(17526,plain,
% 21.79/22.11 (~node26(s8)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17525, 6122, 17334])).
% 21.79/22.11 tff(17527,plain,
% 21.79/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17528,plain,
% 21.79/22.11 ((node26(s8) | (~until27(s8)) | xuntil28(s8)) <=> (xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17529,plain,
% 21.79/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8))))),
% 21.79/22.11 inference(monotonicity,[status(thm)],[17528])).
% 21.79/22.11 tff(17530,plain,
% 21.79/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 21.79/22.11 inference(transitivity,[status(thm)],[17529, 17527])).
% 21.79/22.11 tff(17531,plain,
% 21.79/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))),
% 21.79/22.11 inference(quant_inst,[status(thm)],[])).
% 21.79/22.11 tff(17532,plain,
% 21.79/22.11 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8))),
% 21.79/22.11 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 21.79/22.11 tff(17533,plain,
% 21.79/22.11 (xuntil28(s8) | (~until27(s8))),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17532, 17403, 17526])).
% 21.79/22.11 tff(17534,plain,
% 21.79/22.11 (xuntil28(s8)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17533, 17522])).
% 21.79/22.11 tff(17535,plain,
% 21.79/22.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17536,plain,
% 21.79/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 21.79/22.11 inference(quant_inst,[status(thm)],[])).
% 21.79/22.11 tff(17537,plain,
% 21.79/22.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9)),
% 21.79/22.11 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 21.79/22.11 tff(17538,plain,
% 21.79/22.11 ((~xuntil28(s8)) | until27(s9)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17537, 1123, 17421])).
% 21.79/22.11 tff(17539,plain,
% 21.79/22.11 (until27(s9)),
% 21.79/22.11 inference(unit_resolution,[status(thm)],[17538, 17534])).
% 21.79/22.11 tff(17540,plain,
% 21.79/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17541,plain,
% 21.79/22.11 ((node26(s9) | (~until27(s9)) | xuntil28(s9)) <=> (xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 21.79/22.11 inference(rewrite,[status(thm)],[])).
% 21.79/22.11 tff(17542,plain,
% 21.79/22.11 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9))))),
% 21.79/22.12 inference(monotonicity,[status(thm)],[17541])).
% 21.79/22.12 tff(17543,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 21.79/22.12 inference(transitivity,[status(thm)],[17542, 17540])).
% 21.79/22.12 tff(17544,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17545,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 21.79/22.12 tff(17546,plain,
% 21.79/22.12 (xuntil28(s9)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17545, 17403, 17539, 17327])).
% 21.79/22.12 tff(17547,plain,
% 21.79/22.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17548,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17549,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10)),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 21.79/22.12 tff(17550,plain,
% 21.79/22.12 ((~xuntil28(s9)) | until27(s10)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17549, 1218, 17421])).
% 21.79/22.12 tff(17551,plain,
% 21.79/22.12 (until27(s10)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17550, 17546])).
% 21.79/22.12 tff(17552,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17553,plain,
% 21.79/22.12 ((node26(s10) | (~until27(s10)) | xuntil28(s10)) <=> (xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17554,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10))))),
% 21.79/22.12 inference(monotonicity,[status(thm)],[17553])).
% 21.79/22.12 tff(17555,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 21.79/22.12 inference(transitivity,[status(thm)],[17554, 17552])).
% 21.79/22.12 tff(17556,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17557,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 21.79/22.12 tff(17558,plain,
% 21.79/22.12 (xuntil28(s10) | node26(s10)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17557, 17403, 17551])).
% 21.79/22.12 tff(17559,plain,
% 21.79/22.12 (xuntil28(s10)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17558, 17323])).
% 21.79/22.12 tff(17560,plain,
% 21.79/22.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17561,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17562,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11)),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 21.79/22.12 tff(17563,plain,
% 21.79/22.12 ((~xuntil28(s10)) | until27(s11)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17562, 1282, 17421])).
% 21.79/22.12 tff(17564,plain,
% 21.79/22.12 (until27(s11)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17563, 17559])).
% 21.79/22.12 tff(17565,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17566,plain,
% 21.79/22.12 ((node26(s11) | (~until27(s11)) | xuntil28(s11)) <=> (xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17567,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11))))),
% 21.79/22.12 inference(monotonicity,[status(thm)],[17566])).
% 21.79/22.12 tff(17568,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 21.79/22.12 inference(transitivity,[status(thm)],[17567, 17565])).
% 21.79/22.12 tff(17569,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17570,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17569, 17568])).
% 21.79/22.12 tff(17571,plain,
% 21.79/22.12 (xuntil28(s11)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17570, 17403, 17564, 17314])).
% 21.79/22.12 tff(17572,plain,
% 21.79/22.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17573,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17574,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12)),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 21.79/22.12 tff(17575,plain,
% 21.79/22.12 ((~xuntil28(s11)) | until27(s12)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17574, 1357, 17421])).
% 21.79/22.12 tff(17576,plain,
% 21.79/22.12 (until27(s12)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17575, 17571])).
% 21.79/22.12 tff(17577,plain,
% 21.79/22.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17578,plain,
% 21.79/22.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17579,plain,
% 21.79/22.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 21.79/22.12 tff(17580,plain,
% 21.79/22.12 (~node26(s12)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17579, 6122, 17305])).
% 21.79/22.12 tff(17581,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17582,plain,
% 21.79/22.12 ((node26(s12) | (~until27(s12)) | xuntil28(s12)) <=> (xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17583,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12))))),
% 21.79/22.12 inference(monotonicity,[status(thm)],[17582])).
% 21.79/22.12 tff(17584,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 21.79/22.12 inference(transitivity,[status(thm)],[17583, 17581])).
% 21.79/22.12 tff(17585,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17586,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 21.79/22.12 tff(17587,plain,
% 21.79/22.12 (xuntil28(s12) | (~until27(s12))),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17586, 17403, 17580])).
% 21.79/22.12 tff(17588,plain,
% 21.79/22.12 (xuntil28(s12)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17587, 17576])).
% 21.79/22.12 tff(17589,plain,
% 21.79/22.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17590,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17591,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13)),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 21.79/22.12 tff(17592,plain,
% 21.79/22.12 ((~xuntil28(s12)) | until27(s13)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17591, 1446, 17421])).
% 21.79/22.12 tff(17593,plain,
% 21.79/22.12 (until27(s13)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17592, 17588])).
% 21.79/22.12 tff(17594,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17595,plain,
% 21.79/22.12 ((node26(s13) | (~until27(s13)) | xuntil28(s13)) <=> (xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17596,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13))))),
% 21.79/22.12 inference(monotonicity,[status(thm)],[17595])).
% 21.79/22.12 tff(17597,plain,
% 21.79/22.12 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 21.79/22.12 inference(transitivity,[status(thm)],[17596, 17594])).
% 21.79/22.12 tff(17598,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17599,plain,
% 21.79/22.12 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13))),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 21.79/22.12 tff(17600,plain,
% 21.79/22.12 (xuntil28(s13)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17599, 17403, 17593, 17298])).
% 21.79/22.12 tff(17601,plain,
% 21.79/22.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 21.79/22.12 inference(rewrite,[status(thm)],[])).
% 21.79/22.12 tff(17602,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 21.79/22.12 inference(quant_inst,[status(thm)],[])).
% 21.79/22.12 tff(17603,plain,
% 21.79/22.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14)),
% 21.79/22.12 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 21.79/22.12 tff(17604,plain,
% 21.79/22.12 ((~xuntil28(s13)) | until27(s14)),
% 21.79/22.12 inference(unit_resolution,[status(thm)],[17603, 1513, 17421])).
% 21.79/22.13 tff(17605,plain,
% 21.79/22.13 (until27(s14)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17604, 17600])).
% 21.79/22.13 tff(17606,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17607,plain,
% 21.79/22.13 ((node26(s14) | (~until27(s14)) | xuntil28(s14)) <=> (xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17608,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17607])).
% 21.79/22.13 tff(17609,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17608, 17606])).
% 21.79/22.13 tff(17610,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17611,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 21.79/22.13 tff(17612,plain,
% 21.79/22.13 (xuntil28(s14) | node26(s14)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17611, 17403, 17605])).
% 21.79/22.13 tff(17613,plain,
% 21.79/22.13 (xuntil28(s14)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17612, 17294])).
% 21.79/22.13 tff(17614,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17615,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17616,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17615, 17614])).
% 21.79/22.13 tff(17617,plain,
% 21.79/22.13 ((~xuntil28(s14)) | until27(s15)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17616, 1612, 17421])).
% 21.79/22.13 tff(17618,plain,
% 21.79/22.13 (until27(s15)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17617, 17613])).
% 21.79/22.13 tff(17619,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17620,plain,
% 21.79/22.13 ((node26(s15) | (~until27(s15)) | xuntil28(s15)) <=> (xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17621,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17620])).
% 21.79/22.13 tff(17622,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17621, 17619])).
% 21.79/22.13 tff(17623,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17624,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17623, 17622])).
% 21.79/22.13 tff(17625,plain,
% 21.79/22.13 (xuntil28(s15)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17624, 17403, 17618, 17285])).
% 21.79/22.13 tff(17626,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17627,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17628,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17627, 17626])).
% 21.79/22.13 tff(17629,plain,
% 21.79/22.13 ((~xuntil28(s15)) | until27(s16)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17628, 1690, 17421])).
% 21.79/22.13 tff(17630,plain,
% 21.79/22.13 (until27(s16)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17629, 17625])).
% 21.79/22.13 tff(17631,plain,
% 21.79/22.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17632,plain,
% 21.79/22.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17633,plain,
% 21.79/22.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17632, 17631])).
% 21.79/22.13 tff(17634,plain,
% 21.79/22.13 (~node26(s16)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17633, 6122, 17276])).
% 21.79/22.13 tff(17635,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17636,plain,
% 21.79/22.13 ((node26(s16) | (~until27(s16)) | xuntil28(s16)) <=> (xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17637,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17636])).
% 21.79/22.13 tff(17638,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17637, 17635])).
% 21.79/22.13 tff(17639,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17640,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 21.79/22.13 tff(17641,plain,
% 21.79/22.13 (xuntil28(s16) | (~until27(s16))),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17640, 17403, 17634])).
% 21.79/22.13 tff(17642,plain,
% 21.79/22.13 (xuntil28(s16)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17641, 17630])).
% 21.79/22.13 tff(17643,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17644,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17645,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 21.79/22.13 tff(17646,plain,
% 21.79/22.13 ((~xuntil28(s16)) | until27(s17)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17645, 1751, 17421])).
% 21.79/22.13 tff(17647,plain,
% 21.79/22.13 (until27(s17)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17646, 17642])).
% 21.79/22.13 tff(17648,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17649,plain,
% 21.79/22.13 ((node26(s17) | (~until27(s17)) | xuntil28(s17)) <=> (xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17650,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17649])).
% 21.79/22.13 tff(17651,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17650, 17648])).
% 21.79/22.13 tff(17652,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17653,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 21.79/22.13 tff(17654,plain,
% 21.79/22.13 (xuntil28(s17)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17653, 17403, 17647, 17269])).
% 21.79/22.13 tff(17655,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17656,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17657,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17656, 17655])).
% 21.79/22.13 tff(17658,plain,
% 21.79/22.13 ((~xuntil28(s17)) | until27(s18)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17657, 1846, 17421])).
% 21.79/22.13 tff(17659,plain,
% 21.79/22.13 (until27(s18)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17658, 17654])).
% 21.79/22.13 tff(17660,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17661,plain,
% 21.79/22.13 ((node26(s18) | (~until27(s18)) | xuntil28(s18)) <=> (xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17662,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17661])).
% 21.79/22.13 tff(17663,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17662, 17660])).
% 21.79/22.13 tff(17664,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17665,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 21.79/22.13 tff(17666,plain,
% 21.79/22.13 (xuntil28(s18) | node26(s18)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17665, 17403, 17659])).
% 21.79/22.13 tff(17667,plain,
% 21.79/22.13 (xuntil28(s18)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17666, 17265])).
% 21.79/22.13 tff(17668,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17669,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17670,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 21.79/22.13 tff(17671,plain,
% 21.79/22.13 ((~xuntil28(s18)) | until27(s19)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17670, 1910, 17421])).
% 21.79/22.13 tff(17672,plain,
% 21.79/22.13 (until27(s19)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17671, 17667])).
% 21.79/22.13 tff(17673,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17674,plain,
% 21.79/22.13 ((node26(s19) | (~until27(s19)) | xuntil28(s19)) <=> (xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17675,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19))))),
% 21.79/22.13 inference(monotonicity,[status(thm)],[17674])).
% 21.79/22.13 tff(17676,plain,
% 21.79/22.13 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 21.79/22.13 inference(transitivity,[status(thm)],[17675, 17673])).
% 21.79/22.13 tff(17677,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17678,plain,
% 21.79/22.13 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 21.79/22.13 tff(17679,plain,
% 21.79/22.13 (xuntil28(s19)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17678, 17403, 17672, 17256])).
% 21.79/22.13 tff(17680,plain,
% 21.79/22.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17681,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17682,plain,
% 21.79/22.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20)),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17681, 17680])).
% 21.79/22.13 tff(17683,plain,
% 21.79/22.13 ((~xuntil28(s19)) | until27(s20)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17682, 1985, 17421])).
% 21.79/22.13 tff(17684,plain,
% 21.79/22.13 (until27(s20)),
% 21.79/22.13 inference(unit_resolution,[status(thm)],[17683, 17679])).
% 21.79/22.13 tff(17685,plain,
% 21.79/22.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20)))),
% 21.79/22.13 inference(rewrite,[status(thm)],[])).
% 21.79/22.13 tff(17686,plain,
% 21.79/22.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))),
% 21.79/22.13 inference(quant_inst,[status(thm)],[])).
% 21.79/22.13 tff(17687,plain,
% 21.79/22.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20))),
% 21.79/22.13 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 21.79/22.14 tff(17688,plain,
% 21.79/22.14 (~node26(s20)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17687, 6122, 17247])).
% 21.79/22.14 tff(17689,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17690,plain,
% 21.79/22.14 ((node26(s20) | (~until27(s20)) | xuntil28(s20)) <=> (xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17691,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20))))),
% 21.79/22.14 inference(monotonicity,[status(thm)],[17690])).
% 21.79/22.14 tff(17692,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 21.79/22.14 inference(transitivity,[status(thm)],[17691, 17689])).
% 21.79/22.14 tff(17693,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17694,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 21.79/22.14 tff(17695,plain,
% 21.79/22.14 (xuntil28(s20) | (~until27(s20))),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17694, 17403, 17688])).
% 21.79/22.14 tff(17696,plain,
% 21.79/22.14 (xuntil28(s20)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17695, 17684])).
% 21.79/22.14 tff(17697,plain,
% 21.79/22.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17698,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17699,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21)),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 21.79/22.14 tff(17700,plain,
% 21.79/22.14 ((~xuntil28(s20)) | until27(s21)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17699, 2074, 17421])).
% 21.79/22.14 tff(17701,plain,
% 21.79/22.14 (until27(s21)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17700, 17696])).
% 21.79/22.14 tff(17702,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17703,plain,
% 21.79/22.14 ((node26(s21) | (~until27(s21)) | xuntil28(s21)) <=> (xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17704,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21))))),
% 21.79/22.14 inference(monotonicity,[status(thm)],[17703])).
% 21.79/22.14 tff(17705,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 21.79/22.14 inference(transitivity,[status(thm)],[17704, 17702])).
% 21.79/22.14 tff(17706,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17707,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17706, 17705])).
% 21.79/22.14 tff(17708,plain,
% 21.79/22.14 (xuntil28(s21)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17707, 17403, 17701, 17240])).
% 21.79/22.14 tff(17709,plain,
% 21.79/22.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17710,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17711,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22)),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 21.79/22.14 tff(17712,plain,
% 21.79/22.14 ((~xuntil28(s21)) | until27(s22)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17711, 2141, 17421])).
% 21.79/22.14 tff(17713,plain,
% 21.79/22.14 (until27(s22)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17712, 17708])).
% 21.79/22.14 tff(17714,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17715,plain,
% 21.79/22.14 ((node26(s22) | (~until27(s22)) | xuntil28(s22)) <=> (xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17716,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22))))),
% 21.79/22.14 inference(monotonicity,[status(thm)],[17715])).
% 21.79/22.14 tff(17717,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 21.79/22.14 inference(transitivity,[status(thm)],[17716, 17714])).
% 21.79/22.14 tff(17718,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17719,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 21.79/22.14 tff(17720,plain,
% 21.79/22.14 (xuntil28(s22) | node26(s22)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17719, 17403, 17713])).
% 21.79/22.14 tff(17721,plain,
% 21.79/22.14 (xuntil28(s22)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17720, 17236])).
% 21.79/22.14 tff(17722,plain,
% 21.79/22.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17723,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17724,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23)),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 21.79/22.14 tff(17725,plain,
% 21.79/22.14 ((~xuntil28(s22)) | until27(s23)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17724, 2240, 17421])).
% 21.79/22.14 tff(17726,plain,
% 21.79/22.14 (until27(s23)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17725, 17721])).
% 21.79/22.14 tff(17727,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17728,plain,
% 21.79/22.14 ((node26(s23) | (~until27(s23)) | xuntil28(s23)) <=> (xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17729,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23))))),
% 21.79/22.14 inference(monotonicity,[status(thm)],[17728])).
% 21.79/22.14 tff(17730,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 21.79/22.14 inference(transitivity,[status(thm)],[17729, 17727])).
% 21.79/22.14 tff(17731,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17732,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 21.79/22.14 tff(17733,plain,
% 21.79/22.14 (xuntil28(s23)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17732, 17403, 17726, 17227])).
% 21.79/22.14 tff(17734,plain,
% 21.79/22.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17735,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17736,plain,
% 21.79/22.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24)),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17735, 17734])).
% 21.79/22.14 tff(17737,plain,
% 21.79/22.14 ((~xuntil28(s23)) | until27(s24)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17736, 2318, 17421])).
% 21.79/22.14 tff(17738,plain,
% 21.79/22.14 (until27(s24)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17737, 17733])).
% 21.79/22.14 tff(17739,plain,
% 21.79/22.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17740,plain,
% 21.79/22.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17741,plain,
% 21.79/22.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 21.79/22.14 tff(17742,plain,
% 21.79/22.14 (~node26(s24)),
% 21.79/22.14 inference(unit_resolution,[status(thm)],[17741, 6122, 17218])).
% 21.79/22.14 tff(17743,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17744,plain,
% 21.79/22.14 ((node26(s24) | (~until27(s24)) | xuntil28(s24)) <=> (xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 21.79/22.14 inference(rewrite,[status(thm)],[])).
% 21.79/22.14 tff(17745,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24))))),
% 21.79/22.14 inference(monotonicity,[status(thm)],[17744])).
% 21.79/22.14 tff(17746,plain,
% 21.79/22.14 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 21.79/22.14 inference(transitivity,[status(thm)],[17745, 17743])).
% 21.79/22.14 tff(17747,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))),
% 21.79/22.14 inference(quant_inst,[status(thm)],[])).
% 21.79/22.14 tff(17748,plain,
% 21.79/22.14 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24))),
% 21.79/22.14 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 21.79/22.14 tff(17749,plain,
% 21.79/22.14 (xuntil28(s24) | (~until27(s24))),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17748, 17403, 17742])).
% 21.79/22.15 tff(17750,plain,
% 21.79/22.15 (xuntil28(s24)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17749, 17738])).
% 21.79/22.15 tff(17751,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17752,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17753,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 21.79/22.15 tff(17754,plain,
% 21.79/22.15 ((~xuntil28(s24)) | until27(s25)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17753, 2379, 17421])).
% 21.79/22.15 tff(17755,plain,
% 21.79/22.15 (until27(s25)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17754, 17750])).
% 21.79/22.15 tff(17756,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17757,plain,
% 21.79/22.15 ((node26(s25) | (~until27(s25)) | xuntil28(s25)) <=> (xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17758,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17757])).
% 21.79/22.15 tff(17759,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17758, 17756])).
% 21.79/22.15 tff(17760,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17761,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 21.79/22.15 tff(17762,plain,
% 21.79/22.15 (xuntil28(s25)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17761, 17403, 17755, 17211])).
% 21.79/22.15 tff(17763,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17764,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17765,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 21.79/22.15 tff(17766,plain,
% 21.79/22.15 ((~xuntil28(s25)) | until27(s26)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17765, 2474, 17421])).
% 21.79/22.15 tff(17767,plain,
% 21.79/22.15 (until27(s26)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17766, 17762])).
% 21.79/22.15 tff(17768,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17769,plain,
% 21.79/22.15 ((node26(s26) | (~until27(s26)) | xuntil28(s26)) <=> (xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17770,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17769])).
% 21.79/22.15 tff(17771,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17770, 17768])).
% 21.79/22.15 tff(17772,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17773,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 21.79/22.15 tff(17774,plain,
% 21.79/22.15 (xuntil28(s26) | node26(s26)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17773, 17403, 17767])).
% 21.79/22.15 tff(17775,plain,
% 21.79/22.15 (xuntil28(s26)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17774, 17207])).
% 21.79/22.15 tff(17776,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17777,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17778,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17777, 17776])).
% 21.79/22.15 tff(17779,plain,
% 21.79/22.15 ((~xuntil28(s26)) | until27(s27)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17778, 2538, 17421])).
% 21.79/22.15 tff(17780,plain,
% 21.79/22.15 (until27(s27)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17779, 17775])).
% 21.79/22.15 tff(17781,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17782,plain,
% 21.79/22.15 ((node26(s27) | (~until27(s27)) | xuntil28(s27)) <=> (xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17783,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17782])).
% 21.79/22.15 tff(17784,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17783, 17781])).
% 21.79/22.15 tff(17785,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17786,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 21.79/22.15 tff(17787,plain,
% 21.79/22.15 (xuntil28(s27)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17786, 17403, 17780, 17198])).
% 21.79/22.15 tff(17788,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17789,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17790,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17789, 17788])).
% 21.79/22.15 tff(17791,plain,
% 21.79/22.15 ((~xuntil28(s27)) | until27(s28)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17790, 2613, 17421])).
% 21.79/22.15 tff(17792,plain,
% 21.79/22.15 (until27(s28)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17791, 17787])).
% 21.79/22.15 tff(17793,plain,
% 21.79/22.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17794,plain,
% 21.79/22.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17795,plain,
% 21.79/22.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 21.79/22.15 tff(17796,plain,
% 21.79/22.15 (~node26(s28)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17795, 6122, 17189])).
% 21.79/22.15 tff(17797,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17798,plain,
% 21.79/22.15 ((node26(s28) | (~until27(s28)) | xuntil28(s28)) <=> (xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17799,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17798])).
% 21.79/22.15 tff(17800,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17799, 17797])).
% 21.79/22.15 tff(17801,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17802,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 21.79/22.15 tff(17803,plain,
% 21.79/22.15 (xuntil28(s28) | (~until27(s28))),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17802, 17403, 17796])).
% 21.79/22.15 tff(17804,plain,
% 21.79/22.15 (xuntil28(s28)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17803, 17792])).
% 21.79/22.15 tff(17805,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17806,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17807,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 21.79/22.15 tff(17808,plain,
% 21.79/22.15 ((~xuntil28(s28)) | until27(s29)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17807, 2702, 17421])).
% 21.79/22.15 tff(17809,plain,
% 21.79/22.15 (until27(s29)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17808, 17804])).
% 21.79/22.15 tff(17810,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17811,plain,
% 21.79/22.15 ((node26(s29) | (~until27(s29)) | xuntil28(s29)) <=> (xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17812,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17811])).
% 21.79/22.15 tff(17813,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17812, 17810])).
% 21.79/22.15 tff(17814,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17815,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 21.79/22.15 tff(17816,plain,
% 21.79/22.15 (xuntil28(s29)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17815, 17403, 17809, 17182])).
% 21.79/22.15 tff(17817,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17818,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17819,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30)),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 21.79/22.15 tff(17820,plain,
% 21.79/22.15 ((~xuntil28(s29)) | until27(s30)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17819, 2769, 17421])).
% 21.79/22.15 tff(17821,plain,
% 21.79/22.15 (until27(s30)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17820, 17816])).
% 21.79/22.15 tff(17822,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17823,plain,
% 21.79/22.15 ((node26(s30) | (~until27(s30)) | xuntil28(s30)) <=> (xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17824,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30))))),
% 21.79/22.15 inference(monotonicity,[status(thm)],[17823])).
% 21.79/22.15 tff(17825,plain,
% 21.79/22.15 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 21.79/22.15 inference(transitivity,[status(thm)],[17824, 17822])).
% 21.79/22.15 tff(17826,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.15 tff(17827,plain,
% 21.79/22.15 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30))),
% 21.79/22.15 inference(modus_ponens,[status(thm)],[17826, 17825])).
% 21.79/22.15 tff(17828,plain,
% 21.79/22.15 (xuntil28(s30) | node26(s30)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17827, 17403, 17821])).
% 21.79/22.15 tff(17829,plain,
% 21.79/22.15 (xuntil28(s30)),
% 21.79/22.15 inference(unit_resolution,[status(thm)],[17828, 17178])).
% 21.79/22.15 tff(17830,plain,
% 21.79/22.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 21.79/22.15 inference(rewrite,[status(thm)],[])).
% 21.79/22.15 tff(17831,plain,
% 21.79/22.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 21.79/22.15 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17832,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31)),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 21.79/22.16 tff(17833,plain,
% 21.79/22.16 ((~xuntil28(s30)) | until27(s31)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17832, 2868, 17421])).
% 21.79/22.16 tff(17834,plain,
% 21.79/22.16 (until27(s31)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17833, 17829])).
% 21.79/22.16 tff(17835,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17836,plain,
% 21.79/22.16 ((node26(s31) | (~until27(s31)) | xuntil28(s31)) <=> (xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17837,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31))))),
% 21.79/22.16 inference(monotonicity,[status(thm)],[17836])).
% 21.79/22.16 tff(17838,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 21.79/22.16 inference(transitivity,[status(thm)],[17837, 17835])).
% 21.79/22.16 tff(17839,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17840,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31))),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17839, 17838])).
% 21.79/22.16 tff(17841,plain,
% 21.79/22.16 (xuntil28(s31)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17840, 17403, 17834, 17169])).
% 21.79/22.16 tff(17842,plain,
% 21.79/22.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17843,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17844,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32)),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 21.79/22.16 tff(17845,plain,
% 21.79/22.16 ((~xuntil28(s31)) | until27(s32)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17844, 2946, 17421])).
% 21.79/22.16 tff(17846,plain,
% 21.79/22.16 (until27(s32)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17845, 17841])).
% 21.79/22.16 tff(17847,plain,
% 21.79/22.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17848,plain,
% 21.79/22.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17849,plain,
% 21.79/22.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32))),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17848, 17847])).
% 21.79/22.16 tff(17850,plain,
% 21.79/22.16 (~node26(s32)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17849, 6122, 17160])).
% 21.79/22.16 tff(17851,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17852,plain,
% 21.79/22.16 ((node26(s32) | (~until27(s32)) | xuntil28(s32)) <=> (xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17853,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32))))),
% 21.79/22.16 inference(monotonicity,[status(thm)],[17852])).
% 21.79/22.16 tff(17854,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 21.79/22.16 inference(transitivity,[status(thm)],[17853, 17851])).
% 21.79/22.16 tff(17855,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17856,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32))),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 21.79/22.16 tff(17857,plain,
% 21.79/22.16 (xuntil28(s32) | (~until27(s32))),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17856, 17403, 17850])).
% 21.79/22.16 tff(17858,plain,
% 21.79/22.16 (xuntil28(s32)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17857, 17846])).
% 21.79/22.16 tff(17859,plain,
% 21.79/22.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17860,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17861,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33)),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 21.79/22.16 tff(17862,plain,
% 21.79/22.16 ((~xuntil28(s32)) | until27(s33)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17861, 3007, 17421])).
% 21.79/22.16 tff(17863,plain,
% 21.79/22.16 (until27(s33)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17862, 17858])).
% 21.79/22.16 tff(17864,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17865,plain,
% 21.79/22.16 ((node26(s33) | (~until27(s33)) | xuntil28(s33)) <=> (xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17866,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33))))),
% 21.79/22.16 inference(monotonicity,[status(thm)],[17865])).
% 21.79/22.16 tff(17867,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 21.79/22.16 inference(transitivity,[status(thm)],[17866, 17864])).
% 21.79/22.16 tff(17868,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17869,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33))),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17868, 17867])).
% 21.79/22.16 tff(17870,plain,
% 21.79/22.16 (xuntil28(s33)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17869, 17403, 17863, 17153])).
% 21.79/22.16 tff(17871,plain,
% 21.79/22.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17872,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17873,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34)),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 21.79/22.16 tff(17874,plain,
% 21.79/22.16 ((~xuntil28(s33)) | until27(s34)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17873, 3102, 17421])).
% 21.79/22.16 tff(17875,plain,
% 21.79/22.16 (until27(s34)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17874, 17870])).
% 21.79/22.16 tff(17876,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17877,plain,
% 21.79/22.16 ((node26(s34) | (~until27(s34)) | xuntil28(s34)) <=> (xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17878,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34))))),
% 21.79/22.16 inference(monotonicity,[status(thm)],[17877])).
% 21.79/22.16 tff(17879,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 21.79/22.16 inference(transitivity,[status(thm)],[17878, 17876])).
% 21.79/22.16 tff(17880,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17881,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34))),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 21.79/22.16 tff(17882,plain,
% 21.79/22.16 (xuntil28(s34) | node26(s34)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17881, 17403, 17875])).
% 21.79/22.16 tff(17883,plain,
% 21.79/22.16 (xuntil28(s34)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17882, 17149])).
% 21.79/22.16 tff(17884,plain,
% 21.79/22.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17885,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 21.79/22.16 inference(quant_inst,[status(thm)],[])).
% 21.79/22.16 tff(17886,plain,
% 21.79/22.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35)),
% 21.79/22.16 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 21.79/22.16 tff(17887,plain,
% 21.79/22.16 ((~xuntil28(s34)) | until27(s35)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17886, 3166, 17421])).
% 21.79/22.16 tff(17888,plain,
% 21.79/22.16 (until27(s35)),
% 21.79/22.16 inference(unit_resolution,[status(thm)],[17887, 17883])).
% 21.79/22.16 tff(17889,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17890,plain,
% 21.79/22.16 ((node26(s35) | (~until27(s35)) | xuntil28(s35)) <=> (xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 21.79/22.16 inference(rewrite,[status(thm)],[])).
% 21.79/22.16 tff(17891,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35))))),
% 21.79/22.16 inference(monotonicity,[status(thm)],[17890])).
% 21.79/22.16 tff(17892,plain,
% 21.79/22.16 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 21.79/22.16 inference(transitivity,[status(thm)],[17891, 17889])).
% 21.79/22.16 tff(17893,plain,
% 21.79/22.16 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17894,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 21.79/22.17 tff(17895,plain,
% 21.79/22.17 (xuntil28(s35)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17894, 17403, 17888, 17140])).
% 21.79/22.17 tff(17896,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17897,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17898,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17897, 17896])).
% 21.79/22.17 tff(17899,plain,
% 21.79/22.17 ((~xuntil28(s35)) | until27(s36)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17898, 3241, 17421])).
% 21.79/22.17 tff(17900,plain,
% 21.79/22.17 (until27(s36)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17899, 17895])).
% 21.79/22.17 tff(17901,plain,
% 21.79/22.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17902,plain,
% 21.79/22.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17903,plain,
% 21.79/22.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 21.79/22.17 tff(17904,plain,
% 21.79/22.17 (~node26(s36)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17903, 6122, 17131])).
% 21.79/22.17 tff(17905,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17906,plain,
% 21.79/22.17 ((node26(s36) | (~until27(s36)) | xuntil28(s36)) <=> (xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17907,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17906])).
% 21.79/22.17 tff(17908,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17907, 17905])).
% 21.79/22.17 tff(17909,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17910,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 21.79/22.17 tff(17911,plain,
% 21.79/22.17 (xuntil28(s36) | (~until27(s36))),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17910, 17403, 17904])).
% 21.79/22.17 tff(17912,plain,
% 21.79/22.17 (xuntil28(s36)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17911, 17900])).
% 21.79/22.17 tff(17913,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17914,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17915,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 21.79/22.17 tff(17916,plain,
% 21.79/22.17 ((~xuntil28(s36)) | until27(s37)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17915, 3330, 17421])).
% 21.79/22.17 tff(17917,plain,
% 21.79/22.17 (until27(s37)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17916, 17912])).
% 21.79/22.17 tff(17918,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17919,plain,
% 21.79/22.17 ((node26(s37) | (~until27(s37)) | xuntil28(s37)) <=> (xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17920,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17919])).
% 21.79/22.17 tff(17921,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17920, 17918])).
% 21.79/22.17 tff(17922,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17923,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17922, 17921])).
% 21.79/22.17 tff(17924,plain,
% 21.79/22.17 (xuntil28(s37)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17923, 17403, 17917, 17124])).
% 21.79/22.17 tff(17925,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17926,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17927,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17926, 17925])).
% 21.79/22.17 tff(17928,plain,
% 21.79/22.17 ((~xuntil28(s37)) | until27(s38)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17927, 3397, 17421])).
% 21.79/22.17 tff(17929,plain,
% 21.79/22.17 (until27(s38)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17928, 17924])).
% 21.79/22.17 tff(17930,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17931,plain,
% 21.79/22.17 ((node26(s38) | (~until27(s38)) | xuntil28(s38)) <=> (xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17932,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17931])).
% 21.79/22.17 tff(17933,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17932, 17930])).
% 21.79/22.17 tff(17934,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17935,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 21.79/22.17 tff(17936,plain,
% 21.79/22.17 (xuntil28(s38) | node26(s38)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17935, 17403, 17929])).
% 21.79/22.17 tff(17937,plain,
% 21.79/22.17 (xuntil28(s38)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17936, 17120])).
% 21.79/22.17 tff(17938,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17939,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17940,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 21.79/22.17 tff(17941,plain,
% 21.79/22.17 ((~xuntil28(s38)) | until27(s39)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17940, 3496, 17421])).
% 21.79/22.17 tff(17942,plain,
% 21.79/22.17 (until27(s39)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17941, 17937])).
% 21.79/22.17 tff(17943,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17944,plain,
% 21.79/22.17 ((node26(s39) | (~until27(s39)) | xuntil28(s39)) <=> (xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17945,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17944])).
% 21.79/22.17 tff(17946,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17945, 17943])).
% 21.79/22.17 tff(17947,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17948,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 21.79/22.17 tff(17949,plain,
% 21.79/22.17 (xuntil28(s39)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17948, 17403, 17942, 17111])).
% 21.79/22.17 tff(17950,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17951,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17952,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 21.79/22.17 tff(17953,plain,
% 21.79/22.17 ((~xuntil28(s39)) | until27(s40)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17952, 3574, 17421])).
% 21.79/22.17 tff(17954,plain,
% 21.79/22.17 (until27(s40)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17953, 17949])).
% 21.79/22.17 tff(17955,plain,
% 21.79/22.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17956,plain,
% 21.79/22.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17957,plain,
% 21.79/22.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17956, 17955])).
% 21.79/22.17 tff(17958,plain,
% 21.79/22.17 (~node26(s40)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17957, 6122, 17102])).
% 21.79/22.17 tff(17959,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17960,plain,
% 21.79/22.17 ((node26(s40) | (~until27(s40)) | xuntil28(s40)) <=> (xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17961,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17960])).
% 21.79/22.17 tff(17962,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17961, 17959])).
% 21.79/22.17 tff(17963,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17964,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40))),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 21.79/22.17 tff(17965,plain,
% 21.79/22.17 (xuntil28(s40) | (~until27(s40))),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17964, 17403, 17958])).
% 21.79/22.17 tff(17966,plain,
% 21.79/22.17 (xuntil28(s40)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17965, 17954])).
% 21.79/22.17 tff(17967,plain,
% 21.79/22.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17968,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 21.79/22.17 inference(quant_inst,[status(thm)],[])).
% 21.79/22.17 tff(17969,plain,
% 21.79/22.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41)),
% 21.79/22.17 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 21.79/22.17 tff(17970,plain,
% 21.79/22.17 ((~xuntil28(s40)) | until27(s41)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17969, 3635, 17421])).
% 21.79/22.17 tff(17971,plain,
% 21.79/22.17 (until27(s41)),
% 21.79/22.17 inference(unit_resolution,[status(thm)],[17970, 17966])).
% 21.79/22.17 tff(17972,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17973,plain,
% 21.79/22.17 ((node26(s41) | (~until27(s41)) | xuntil28(s41)) <=> (xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 21.79/22.17 inference(rewrite,[status(thm)],[])).
% 21.79/22.17 tff(17974,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41))))),
% 21.79/22.17 inference(monotonicity,[status(thm)],[17973])).
% 21.79/22.17 tff(17975,plain,
% 21.79/22.17 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 21.79/22.17 inference(transitivity,[status(thm)],[17974, 17972])).
% 21.79/22.17 tff(17976,plain,
% 21.79/22.17 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(17977,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 21.79/22.18 tff(17978,plain,
% 21.79/22.18 (xuntil28(s41)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17977, 17403, 17971, 17095])).
% 21.79/22.18 tff(17979,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17980,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(17981,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 21.79/22.18 tff(17982,plain,
% 21.79/22.18 ((~xuntil28(s41)) | until27(s42)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17981, 3730, 17421])).
% 21.79/22.18 tff(17983,plain,
% 21.79/22.18 (until27(s42)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17982, 17978])).
% 21.79/22.18 tff(17984,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17985,plain,
% 21.79/22.18 ((node26(s42) | (~until27(s42)) | xuntil28(s42)) <=> (xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17986,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[17985])).
% 21.79/22.18 tff(17987,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[17986, 17984])).
% 21.79/22.18 tff(17988,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(17989,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 21.79/22.18 tff(17990,plain,
% 21.79/22.18 (xuntil28(s42) | node26(s42)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17989, 17403, 17983])).
% 21.79/22.18 tff(17991,plain,
% 21.79/22.18 (xuntil28(s42)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17990, 17091])).
% 21.79/22.18 tff(17992,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17993,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(17994,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[17993, 17992])).
% 21.79/22.18 tff(17995,plain,
% 21.79/22.18 ((~xuntil28(s42)) | until27(s43)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17994, 3794, 17421])).
% 21.79/22.18 tff(17996,plain,
% 21.79/22.18 (until27(s43)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[17995, 17991])).
% 21.79/22.18 tff(17997,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17998,plain,
% 21.79/22.18 ((node26(s43) | (~until27(s43)) | xuntil28(s43)) <=> (xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(17999,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[17998])).
% 21.79/22.18 tff(18000,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[17999, 17997])).
% 21.79/22.18 tff(18001,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18002,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18001, 18000])).
% 21.79/22.18 tff(18003,plain,
% 21.79/22.18 (xuntil28(s43)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18002, 17403, 17996, 17082])).
% 21.79/22.18 tff(18004,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18005,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18006,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 21.79/22.18 tff(18007,plain,
% 21.79/22.18 ((~xuntil28(s43)) | until27(s44)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18006, 3869, 17421])).
% 21.79/22.18 tff(18008,plain,
% 21.79/22.18 (until27(s44)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18007, 18003])).
% 21.79/22.18 tff(18009,plain,
% 21.79/22.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18010,plain,
% 21.79/22.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18011,plain,
% 21.79/22.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 21.79/22.18 tff(18012,plain,
% 21.79/22.18 (~node26(s44)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18011, 6122, 17073])).
% 21.79/22.18 tff(18013,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18014,plain,
% 21.79/22.18 ((node26(s44) | (~until27(s44)) | xuntil28(s44)) <=> (xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18015,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[18014])).
% 21.79/22.18 tff(18016,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[18015, 18013])).
% 21.79/22.18 tff(18017,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18018,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18017, 18016])).
% 21.79/22.18 tff(18019,plain,
% 21.79/22.18 (xuntil28(s44) | (~until27(s44))),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18018, 17403, 18012])).
% 21.79/22.18 tff(18020,plain,
% 21.79/22.18 (xuntil28(s44)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18019, 18008])).
% 21.79/22.18 tff(18021,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18022,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18023,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 21.79/22.18 tff(18024,plain,
% 21.79/22.18 ((~xuntil28(s44)) | until27(s45)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18023, 3958, 17421])).
% 21.79/22.18 tff(18025,plain,
% 21.79/22.18 (until27(s45)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18024, 18020])).
% 21.79/22.18 tff(18026,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18027,plain,
% 21.79/22.18 ((node26(s45) | (~until27(s45)) | xuntil28(s45)) <=> (xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18028,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[18027])).
% 21.79/22.18 tff(18029,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[18028, 18026])).
% 21.79/22.18 tff(18030,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18031,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 21.79/22.18 tff(18032,plain,
% 21.79/22.18 (xuntil28(s45)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18031, 17403, 18025, 17066])).
% 21.79/22.18 tff(18033,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18034,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18035,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18034, 18033])).
% 21.79/22.18 tff(18036,plain,
% 21.79/22.18 ((~xuntil28(s45)) | until27(s46)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18035, 4025, 17421])).
% 21.79/22.18 tff(18037,plain,
% 21.79/22.18 (until27(s46)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18036, 18032])).
% 21.79/22.18 tff(18038,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18039,plain,
% 21.79/22.18 ((node26(s46) | (~until27(s46)) | xuntil28(s46)) <=> (xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18040,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[18039])).
% 21.79/22.18 tff(18041,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[18040, 18038])).
% 21.79/22.18 tff(18042,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18043,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 21.79/22.18 tff(18044,plain,
% 21.79/22.18 (xuntil28(s46) | node26(s46)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18043, 17403, 18037])).
% 21.79/22.18 tff(18045,plain,
% 21.79/22.18 (xuntil28(s46)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18044, 17062])).
% 21.79/22.18 tff(18046,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18047,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18048,plain,
% 21.79/22.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47)),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18047, 18046])).
% 21.79/22.18 tff(18049,plain,
% 21.79/22.18 ((~xuntil28(s46)) | until27(s47)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18048, 4124, 17421])).
% 21.79/22.18 tff(18050,plain,
% 21.79/22.18 (until27(s47)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18049, 18045])).
% 21.79/22.18 tff(18051,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18052,plain,
% 21.79/22.18 ((node26(s47) | (~until27(s47)) | xuntil28(s47)) <=> (xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.18 tff(18053,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47))))),
% 21.79/22.18 inference(monotonicity,[status(thm)],[18052])).
% 21.79/22.18 tff(18054,plain,
% 21.79/22.18 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 21.79/22.18 inference(transitivity,[status(thm)],[18053, 18051])).
% 21.79/22.18 tff(18055,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))),
% 21.79/22.18 inference(quant_inst,[status(thm)],[])).
% 21.79/22.18 tff(18056,plain,
% 21.79/22.18 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47))),
% 21.79/22.18 inference(modus_ponens,[status(thm)],[18055, 18054])).
% 21.79/22.18 tff(18057,plain,
% 21.79/22.18 (xuntil28(s47)),
% 21.79/22.18 inference(unit_resolution,[status(thm)],[18056, 17403, 18050, 17053])).
% 21.79/22.18 tff(18058,plain,
% 21.79/22.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 21.79/22.18 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18059,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18060,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48)),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18059, 18058])).
% 21.79/22.19 tff(18061,plain,
% 21.79/22.19 ((~xuntil28(s47)) | until27(s48)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18060, 4202, 17421])).
% 21.79/22.19 tff(18062,plain,
% 21.79/22.19 (until27(s48)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18061, 18057])).
% 21.79/22.19 tff(18063,plain,
% 21.79/22.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18064,plain,
% 21.79/22.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18065,plain,
% 21.79/22.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 21.79/22.19 tff(18066,plain,
% 21.79/22.19 (~node26(s48)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18065, 6122, 17044])).
% 21.79/22.19 tff(18067,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18068,plain,
% 21.79/22.19 ((node26(s48) | (~until27(s48)) | xuntil28(s48)) <=> (xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18069,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48))))),
% 21.79/22.19 inference(monotonicity,[status(thm)],[18068])).
% 21.79/22.19 tff(18070,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 21.79/22.19 inference(transitivity,[status(thm)],[18069, 18067])).
% 21.79/22.19 tff(18071,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18072,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 21.79/22.19 tff(18073,plain,
% 21.79/22.19 (xuntil28(s48) | (~until27(s48))),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18072, 17403, 18066])).
% 21.79/22.19 tff(18074,plain,
% 21.79/22.19 (xuntil28(s48)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18073, 18062])).
% 21.79/22.19 tff(18075,plain,
% 21.79/22.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18076,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18077,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49)),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 21.79/22.19 tff(18078,plain,
% 21.79/22.19 ((~xuntil28(s48)) | until27(s49)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18077, 4263, 17421])).
% 21.79/22.19 tff(18079,plain,
% 21.79/22.19 (until27(s49)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18078, 18074])).
% 21.79/22.19 tff(18080,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18081,plain,
% 21.79/22.19 ((node26(s49) | (~until27(s49)) | xuntil28(s49)) <=> (xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18082,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49))))),
% 21.79/22.19 inference(monotonicity,[status(thm)],[18081])).
% 21.79/22.19 tff(18083,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 21.79/22.19 inference(transitivity,[status(thm)],[18082, 18080])).
% 21.79/22.19 tff(18084,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18085,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18084, 18083])).
% 21.79/22.19 tff(18086,plain,
% 21.79/22.19 (xuntil28(s49)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18085, 17403, 18079, 17037])).
% 21.79/22.19 tff(18087,plain,
% 21.79/22.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18088,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18089,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50)),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18088, 18087])).
% 21.79/22.19 tff(18090,plain,
% 21.79/22.19 ((~xuntil28(s49)) | until27(s50)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18089, 4358, 17421])).
% 21.79/22.19 tff(18091,plain,
% 21.79/22.19 (until27(s50)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18090, 18086])).
% 21.79/22.19 tff(18092,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18093,plain,
% 21.79/22.19 ((node26(s50) | (~until27(s50)) | xuntil28(s50)) <=> (xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18094,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50))))),
% 21.79/22.19 inference(monotonicity,[status(thm)],[18093])).
% 21.79/22.19 tff(18095,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 21.79/22.19 inference(transitivity,[status(thm)],[18094, 18092])).
% 21.79/22.19 tff(18096,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18097,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 21.79/22.19 tff(18098,plain,
% 21.79/22.19 (xuntil28(s50) | node26(s50)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18097, 17403, 18091])).
% 21.79/22.19 tff(18099,plain,
% 21.79/22.19 (xuntil28(s50)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18098, 17033])).
% 21.79/22.19 tff(18100,plain,
% 21.79/22.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18101,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18102,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51)),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18101, 18100])).
% 21.79/22.19 tff(18103,plain,
% 21.79/22.19 ((~xuntil28(s50)) | until27(s51)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18102, 4422, 17421])).
% 21.79/22.19 tff(18104,plain,
% 21.79/22.19 (until27(s51)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18103, 18099])).
% 21.79/22.19 tff(18105,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18106,plain,
% 21.79/22.19 ((node26(s51) | (~until27(s51)) | xuntil28(s51)) <=> (xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18107,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51))))),
% 21.79/22.19 inference(monotonicity,[status(thm)],[18106])).
% 21.79/22.19 tff(18108,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 21.79/22.19 inference(transitivity,[status(thm)],[18107, 18105])).
% 21.79/22.19 tff(18109,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18110,plain,
% 21.79/22.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18109, 18108])).
% 21.79/22.19 tff(18111,plain,
% 21.79/22.19 (xuntil28(s51)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18110, 17403, 18104, 17024])).
% 21.79/22.19 tff(18112,plain,
% 21.79/22.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18113,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18114,plain,
% 21.79/22.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52)),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 21.79/22.19 tff(18115,plain,
% 21.79/22.19 ((~xuntil28(s51)) | until27(s52)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18114, 4497, 17421])).
% 21.79/22.19 tff(18116,plain,
% 21.79/22.19 (until27(s52)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18115, 18111])).
% 21.79/22.19 tff(18117,plain,
% 21.79/22.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18118,plain,
% 21.79/22.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))),
% 21.79/22.19 inference(quant_inst,[status(thm)],[])).
% 21.79/22.19 tff(18119,plain,
% 21.79/22.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52))),
% 21.79/22.19 inference(modus_ponens,[status(thm)],[18118, 18117])).
% 21.79/22.19 tff(18120,plain,
% 21.79/22.19 (~node26(s52)),
% 21.79/22.19 inference(unit_resolution,[status(thm)],[18119, 6122, 17015])).
% 21.79/22.19 tff(18121,plain,
% 21.79/22.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 21.79/22.19 inference(rewrite,[status(thm)],[])).
% 21.79/22.19 tff(18122,plain,
% 21.79/22.19 ((node26(s52) | (~until27(s52)) | xuntil28(s52)) <=> (xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18123,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52))))),
% 21.79/22.20 inference(monotonicity,[status(thm)],[18122])).
% 21.79/22.20 tff(18124,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 21.79/22.20 inference(transitivity,[status(thm)],[18123, 18121])).
% 21.79/22.20 tff(18125,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18126,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 21.79/22.20 tff(18127,plain,
% 21.79/22.20 (xuntil28(s52) | (~until27(s52))),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18126, 17403, 18120])).
% 21.79/22.20 tff(18128,plain,
% 21.79/22.20 (xuntil28(s52)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18127, 18116])).
% 21.79/22.20 tff(18129,plain,
% 21.79/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18130,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18131,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53)),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 21.79/22.20 tff(18132,plain,
% 21.79/22.20 ((~xuntil28(s52)) | until27(s53)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18131, 4586, 17421])).
% 21.79/22.20 tff(18133,plain,
% 21.79/22.20 (until27(s53)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18132, 18128])).
% 21.79/22.20 tff(18134,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18135,plain,
% 21.79/22.20 ((node26(s53) | (~until27(s53)) | xuntil28(s53)) <=> (xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18136,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53))))),
% 21.79/22.20 inference(monotonicity,[status(thm)],[18135])).
% 21.79/22.20 tff(18137,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 21.79/22.20 inference(transitivity,[status(thm)],[18136, 18134])).
% 21.79/22.20 tff(18138,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18139,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18138, 18137])).
% 21.79/22.20 tff(18140,plain,
% 21.79/22.20 (xuntil28(s53)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18139, 17403, 18133, 17008])).
% 21.79/22.20 tff(18141,plain,
% 21.79/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18142,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18143,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54)),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18142, 18141])).
% 21.79/22.20 tff(18144,plain,
% 21.79/22.20 ((~xuntil28(s53)) | until27(s54)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18143, 4653, 17421])).
% 21.79/22.20 tff(18145,plain,
% 21.79/22.20 (until27(s54)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18144, 18140])).
% 21.79/22.20 tff(18146,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18147,plain,
% 21.79/22.20 ((node26(s54) | (~until27(s54)) | xuntil28(s54)) <=> (xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18148,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54))))),
% 21.79/22.20 inference(monotonicity,[status(thm)],[18147])).
% 21.79/22.20 tff(18149,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 21.79/22.20 inference(transitivity,[status(thm)],[18148, 18146])).
% 21.79/22.20 tff(18150,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18151,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 21.79/22.20 tff(18152,plain,
% 21.79/22.20 (xuntil28(s54) | node26(s54)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18151, 17403, 18145])).
% 21.79/22.20 tff(18153,plain,
% 21.79/22.20 (xuntil28(s54)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18152, 17004])).
% 21.79/22.20 tff(18154,plain,
% 21.79/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18155,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18156,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55)),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18155, 18154])).
% 21.79/22.20 tff(18157,plain,
% 21.79/22.20 ((~xuntil28(s54)) | until27(s55)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18156, 4752, 17421])).
% 21.79/22.20 tff(18158,plain,
% 21.79/22.20 (until27(s55)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18157, 18153])).
% 21.79/22.20 tff(18159,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18160,plain,
% 21.79/22.20 ((node26(s55) | (~until27(s55)) | xuntil28(s55)) <=> (xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18161,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55))))),
% 21.79/22.20 inference(monotonicity,[status(thm)],[18160])).
% 21.79/22.20 tff(18162,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 21.79/22.20 inference(transitivity,[status(thm)],[18161, 18159])).
% 21.79/22.20 tff(18163,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18164,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18163, 18162])).
% 21.79/22.20 tff(18165,plain,
% 21.79/22.20 (xuntil28(s55)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18164, 17403, 18158, 16995])).
% 21.79/22.20 tff(18166,plain,
% 21.79/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18167,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18168,plain,
% 21.79/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56)),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 21.79/22.20 tff(18169,plain,
% 21.79/22.20 ((~xuntil28(s55)) | until27(s56)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18168, 4830, 17421])).
% 21.79/22.20 tff(18170,plain,
% 21.79/22.20 (until27(s56)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18169, 18165])).
% 21.79/22.20 tff(18171,plain,
% 21.79/22.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18172,plain,
% 21.79/22.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18173,plain,
% 21.79/22.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18172, 18171])).
% 21.79/22.20 tff(18174,plain,
% 21.79/22.20 (~node26(s56)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18173, 6122, 16986])).
% 21.79/22.20 tff(18175,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18176,plain,
% 21.79/22.20 ((node26(s56) | (~until27(s56)) | xuntil28(s56)) <=> (xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 21.79/22.20 inference(rewrite,[status(thm)],[])).
% 21.79/22.20 tff(18177,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56))))),
% 21.79/22.20 inference(monotonicity,[status(thm)],[18176])).
% 21.79/22.20 tff(18178,plain,
% 21.79/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 21.79/22.20 inference(transitivity,[status(thm)],[18177, 18175])).
% 21.79/22.20 tff(18179,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))),
% 21.79/22.20 inference(quant_inst,[status(thm)],[])).
% 21.79/22.20 tff(18180,plain,
% 21.79/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56))),
% 21.79/22.20 inference(modus_ponens,[status(thm)],[18179, 18178])).
% 21.79/22.20 tff(18181,plain,
% 21.79/22.20 (xuntil28(s56) | (~until27(s56))),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18180, 17403, 18174])).
% 21.79/22.20 tff(18182,plain,
% 21.79/22.20 (xuntil28(s56)),
% 21.79/22.20 inference(unit_resolution,[status(thm)],[18181, 18170])).
% 21.79/22.20 tff(18183,plain,
% 21.79/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18184,plain,
% 21.87/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 21.87/22.20 inference(quant_inst,[status(thm)],[])).
% 21.87/22.20 tff(18185,plain,
% 21.87/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57)),
% 21.87/22.20 inference(modus_ponens,[status(thm)],[18184, 18183])).
% 21.87/22.20 tff(18186,plain,
% 21.87/22.20 ((~xuntil28(s56)) | until27(s57)),
% 21.87/22.20 inference(unit_resolution,[status(thm)],[18185, 4891, 17421])).
% 21.87/22.20 tff(18187,plain,
% 21.87/22.20 (until27(s57)),
% 21.87/22.20 inference(unit_resolution,[status(thm)],[18186, 18182])).
% 21.87/22.20 tff(18188,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18189,plain,
% 21.87/22.20 ((node26(s57) | (~until27(s57)) | xuntil28(s57)) <=> (xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18190,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57))))),
% 21.87/22.20 inference(monotonicity,[status(thm)],[18189])).
% 21.87/22.20 tff(18191,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 21.87/22.20 inference(transitivity,[status(thm)],[18190, 18188])).
% 21.87/22.20 tff(18192,plain,
% 21.87/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))),
% 21.87/22.20 inference(quant_inst,[status(thm)],[])).
% 21.87/22.20 tff(18193,plain,
% 21.87/22.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57))),
% 21.87/22.20 inference(modus_ponens,[status(thm)],[18192, 18191])).
% 21.87/22.20 tff(18194,plain,
% 21.87/22.20 (xuntil28(s57)),
% 21.87/22.20 inference(unit_resolution,[status(thm)],[18193, 17403, 18187, 16979])).
% 21.87/22.20 tff(18195,plain,
% 21.87/22.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18196,plain,
% 21.87/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 21.87/22.20 inference(quant_inst,[status(thm)],[])).
% 21.87/22.20 tff(18197,plain,
% 21.87/22.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58)),
% 21.87/22.20 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 21.87/22.20 tff(18198,plain,
% 21.87/22.20 ((~xuntil28(s57)) | until27(s58)),
% 21.87/22.20 inference(unit_resolution,[status(thm)],[18197, 4986, 17421])).
% 21.87/22.20 tff(18199,plain,
% 21.87/22.20 (until27(s58)),
% 21.87/22.20 inference(unit_resolution,[status(thm)],[18198, 18194])).
% 21.87/22.20 tff(18200,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18201,plain,
% 21.87/22.20 ((node26(s58) | (~until27(s58)) | xuntil28(s58)) <=> (xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 21.87/22.20 inference(rewrite,[status(thm)],[])).
% 21.87/22.20 tff(18202,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58))))),
% 21.87/22.20 inference(monotonicity,[status(thm)],[18201])).
% 21.87/22.20 tff(18203,plain,
% 21.87/22.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 21.87/22.21 inference(transitivity,[status(thm)],[18202, 18200])).
% 21.87/22.21 tff(18204,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18205,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 21.87/22.21 tff(18206,plain,
% 21.87/22.21 (xuntil28(s58) | node26(s58)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18205, 17403, 18199])).
% 21.87/22.21 tff(18207,plain,
% 21.87/22.21 (xuntil28(s58)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18206, 16975])).
% 21.87/22.21 tff(18208,plain,
% 21.87/22.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18209,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18210,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59)),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 21.87/22.21 tff(18211,plain,
% 21.87/22.21 ((~xuntil28(s58)) | until27(s59)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18210, 5050, 17421])).
% 21.87/22.21 tff(18212,plain,
% 21.87/22.21 (until27(s59)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18211, 18207])).
% 21.87/22.21 tff(18213,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18214,plain,
% 21.87/22.21 ((node26(s59) | (~until27(s59)) | xuntil28(s59)) <=> (xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18215,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59))))),
% 21.87/22.21 inference(monotonicity,[status(thm)],[18214])).
% 21.87/22.21 tff(18216,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 21.87/22.21 inference(transitivity,[status(thm)],[18215, 18213])).
% 21.87/22.21 tff(18217,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18218,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 21.87/22.21 tff(18219,plain,
% 21.87/22.21 (xuntil28(s59)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18218, 17403, 18212, 16966])).
% 21.87/22.21 tff(18220,plain,
% 21.87/22.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18221,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18222,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60)),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 21.87/22.21 tff(18223,plain,
% 21.87/22.21 ((~xuntil28(s59)) | until27(s60)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18222, 5125, 17421])).
% 21.87/22.21 tff(18224,plain,
% 21.87/22.21 (until27(s60)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18223, 18219])).
% 21.87/22.21 tff(18225,plain,
% 21.87/22.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18226,plain,
% 21.87/22.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18227,plain,
% 21.87/22.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18226, 18225])).
% 21.87/22.21 tff(18228,plain,
% 21.87/22.21 (~node26(s60)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18227, 6122, 16957])).
% 21.87/22.21 tff(18229,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18230,plain,
% 21.87/22.21 ((node26(s60) | (~until27(s60)) | xuntil28(s60)) <=> (xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18231,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60))))),
% 21.87/22.21 inference(monotonicity,[status(thm)],[18230])).
% 21.87/22.21 tff(18232,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 21.87/22.21 inference(transitivity,[status(thm)],[18231, 18229])).
% 21.87/22.21 tff(18233,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18234,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18233, 18232])).
% 21.87/22.21 tff(18235,plain,
% 21.87/22.21 (xuntil28(s60) | (~until27(s60))),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18234, 17403, 18228])).
% 21.87/22.21 tff(18236,plain,
% 21.87/22.21 (xuntil28(s60)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18235, 18224])).
% 21.87/22.21 tff(18237,plain,
% 21.87/22.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18238,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18239,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61)),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18238, 18237])).
% 21.87/22.21 tff(18240,plain,
% 21.87/22.21 ((~xuntil28(s60)) | until27(s61)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18239, 5214, 17421])).
% 21.87/22.21 tff(18241,plain,
% 21.87/22.21 (until27(s61)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18240, 18236])).
% 21.87/22.21 tff(18242,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18243,plain,
% 21.87/22.21 ((node26(s61) | (~until27(s61)) | xuntil28(s61)) <=> (xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18244,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61))))),
% 21.87/22.21 inference(monotonicity,[status(thm)],[18243])).
% 21.87/22.21 tff(18245,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 21.87/22.21 inference(transitivity,[status(thm)],[18244, 18242])).
% 21.87/22.21 tff(18246,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18247,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18246, 18245])).
% 21.87/22.21 tff(18248,plain,
% 21.87/22.21 (xuntil28(s61)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18247, 17403, 18241, 16950])).
% 21.87/22.21 tff(18249,plain,
% 21.87/22.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18250,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18251,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62)),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 21.87/22.21 tff(18252,plain,
% 21.87/22.21 ((~xuntil28(s61)) | until27(s62)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18251, 5281, 17421])).
% 21.87/22.21 tff(18253,plain,
% 21.87/22.21 (until27(s62)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18252, 18248])).
% 21.87/22.21 tff(18254,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18255,plain,
% 21.87/22.21 ((node26(s62) | (~until27(s62)) | xuntil28(s62)) <=> (xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18256,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62))))),
% 21.87/22.21 inference(monotonicity,[status(thm)],[18255])).
% 21.87/22.21 tff(18257,plain,
% 21.87/22.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 21.87/22.21 inference(transitivity,[status(thm)],[18256, 18254])).
% 21.87/22.21 tff(18258,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18259,plain,
% 21.87/22.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62))),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 21.87/22.21 tff(18260,plain,
% 21.87/22.21 (xuntil28(s62) | node26(s62)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18259, 17403, 18253])).
% 21.87/22.21 tff(18261,plain,
% 21.87/22.21 (xuntil28(s62)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18260, 16946])).
% 21.87/22.21 tff(18262,plain,
% 21.87/22.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 21.87/22.21 inference(rewrite,[status(thm)],[])).
% 21.87/22.21 tff(18263,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 21.87/22.21 inference(quant_inst,[status(thm)],[])).
% 21.87/22.21 tff(18264,plain,
% 21.87/22.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63)),
% 21.87/22.21 inference(modus_ponens,[status(thm)],[18263, 18262])).
% 21.87/22.21 tff(18265,plain,
% 21.87/22.21 ((~xuntil28(s62)) | until27(s63)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18264, 5380, 17421])).
% 21.87/22.21 tff(18266,plain,
% 21.87/22.21 (until27(s63)),
% 21.87/22.21 inference(unit_resolution,[status(thm)],[18265, 18261])).
% 21.87/22.22 tff(18267,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18268,plain,
% 21.87/22.22 ((node26(s63) | (~until27(s63)) | xuntil28(s63)) <=> (xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18269,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18268])).
% 21.87/22.22 tff(18270,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18269, 18267])).
% 21.87/22.22 tff(18271,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18272,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18271, 18270])).
% 21.87/22.22 tff(18273,plain,
% 21.87/22.22 (xuntil28(s63)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18272, 17403, 18266, 16937])).
% 21.87/22.22 tff(18274,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18275,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18276,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 21.87/22.22 tff(18277,plain,
% 21.87/22.22 ((~xuntil28(s63)) | until27(s64)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18276, 5458, 17421])).
% 21.87/22.22 tff(18278,plain,
% 21.87/22.22 (until27(s64)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18277, 18273])).
% 21.87/22.22 tff(18279,plain,
% 21.87/22.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18280,plain,
% 21.87/22.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18281,plain,
% 21.87/22.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 21.87/22.22 tff(18282,plain,
% 21.87/22.22 (~node26(s64)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18281, 6122, 16928])).
% 21.87/22.22 tff(18283,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18284,plain,
% 21.87/22.22 ((node26(s64) | (~until27(s64)) | xuntil28(s64)) <=> (xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18285,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18284])).
% 21.87/22.22 tff(18286,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18285, 18283])).
% 21.87/22.22 tff(18287,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18288,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 21.87/22.22 tff(18289,plain,
% 21.87/22.22 (xuntil28(s64) | (~until27(s64))),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18288, 17403, 18282])).
% 21.87/22.22 tff(18290,plain,
% 21.87/22.22 (xuntil28(s64)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18289, 18278])).
% 21.87/22.22 tff(18291,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18292,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18293,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18292, 18291])).
% 21.87/22.22 tff(18294,plain,
% 21.87/22.22 ((~xuntil28(s64)) | until27(s65)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18293, 5519, 17421])).
% 21.87/22.22 tff(18295,plain,
% 21.87/22.22 (until27(s65)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18294, 18290])).
% 21.87/22.22 tff(18296,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s65) | node26(s65) | (~until27(s65)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18297,plain,
% 21.87/22.22 ((node26(s65) | (~until27(s65)) | xuntil28(s65)) <=> (xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18298,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s65) | node26(s65) | (~until27(s65))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18297])).
% 21.87/22.22 tff(18299,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18298, 18296])).
% 21.87/22.22 tff(18300,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18301,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18300, 18299])).
% 21.87/22.22 tff(18302,plain,
% 21.87/22.22 (xuntil28(s65)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18301, 17403, 18295, 16921])).
% 21.87/22.22 tff(18303,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18304,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18305,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18304, 18303])).
% 21.87/22.22 tff(18306,plain,
% 21.87/22.22 ((~xuntil28(s65)) | until27(s66)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18305, 5614, 17421])).
% 21.87/22.22 tff(18307,plain,
% 21.87/22.22 (until27(s66)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18306, 18302])).
% 21.87/22.22 tff(18308,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s66) | node26(s66) | (~until27(s66)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18309,plain,
% 21.87/22.22 ((node26(s66) | (~until27(s66)) | xuntil28(s66)) <=> (xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18310,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s66) | node26(s66) | (~until27(s66))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18309])).
% 21.87/22.22 tff(18311,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18310, 18308])).
% 21.87/22.22 tff(18312,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18313,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 21.87/22.22 tff(18314,plain,
% 21.87/22.22 (xuntil28(s66) | node26(s66)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18313, 17403, 18307])).
% 21.87/22.22 tff(18315,plain,
% 21.87/22.22 (xuntil28(s66)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18314, 16917])).
% 21.87/22.22 tff(18316,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18317,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18318,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18317, 18316])).
% 21.87/22.22 tff(18319,plain,
% 21.87/22.22 ((~xuntil28(s66)) | until27(s67)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18318, 5678, 17421])).
% 21.87/22.22 tff(18320,plain,
% 21.87/22.22 (until27(s67)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18319, 18315])).
% 21.87/22.22 tff(18321,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s67) | node26(s67) | (~until27(s67)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18322,plain,
% 21.87/22.22 ((node26(s67) | (~until27(s67)) | xuntil28(s67)) <=> (xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18323,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s67) | node26(s67) | (~until27(s67))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18322])).
% 21.87/22.22 tff(18324,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18323, 18321])).
% 21.87/22.22 tff(18325,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18326,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18325, 18324])).
% 21.87/22.22 tff(18327,plain,
% 21.87/22.22 (xuntil28(s67)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18326, 17403, 18320, 16908])).
% 21.87/22.22 tff(18328,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18329,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18330,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 21.87/22.22 tff(18331,plain,
% 21.87/22.22 ((~xuntil28(s67)) | until27(s68)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18330, 5753, 17421])).
% 21.87/22.22 tff(18332,plain,
% 21.87/22.22 (until27(s68)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18331, 18327])).
% 21.87/22.22 tff(18333,plain,
% 21.87/22.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18334,plain,
% 21.87/22.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18335,plain,
% 21.87/22.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 21.87/22.22 tff(18336,plain,
% 21.87/22.22 (~node26(s68)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18335, 6122, 16899])).
% 21.87/22.22 tff(18337,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s68) | node26(s68) | (~until27(s68)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18338,plain,
% 21.87/22.22 ((node26(s68) | (~until27(s68)) | xuntil28(s68)) <=> (xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18339,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s68) | node26(s68) | (~until27(s68))))),
% 21.87/22.22 inference(monotonicity,[status(thm)],[18338])).
% 21.87/22.22 tff(18340,plain,
% 21.87/22.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 21.87/22.22 inference(transitivity,[status(thm)],[18339, 18337])).
% 21.87/22.22 tff(18341,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18342,plain,
% 21.87/22.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68))),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 21.87/22.22 tff(18343,plain,
% 21.87/22.22 (xuntil28(s68) | (~until27(s68))),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18342, 17403, 18336])).
% 21.87/22.22 tff(18344,plain,
% 21.87/22.22 (xuntil28(s68)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18343, 18332])).
% 21.87/22.22 tff(18345,plain,
% 21.87/22.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))),
% 21.87/22.22 inference(rewrite,[status(thm)],[])).
% 21.87/22.22 tff(18346,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))),
% 21.87/22.22 inference(quant_inst,[status(thm)],[])).
% 21.87/22.22 tff(18347,plain,
% 21.87/22.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69)),
% 21.87/22.22 inference(modus_ponens,[status(thm)],[18346, 18345])).
% 21.87/22.22 tff(18348,plain,
% 21.87/22.22 ((~xuntil28(s68)) | until27(s69)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18347, 5842, 17421])).
% 21.87/22.22 tff(18349,plain,
% 21.87/22.22 (until27(s69)),
% 21.87/22.22 inference(unit_resolution,[status(thm)],[18348, 18344])).
% 21.87/22.23 tff(18350,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s69) | node26(s69) | (~until27(s69)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18351,plain,
% 21.87/22.23 ((node26(s69) | (~until27(s69)) | xuntil28(s69)) <=> (xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18352,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s69) | node26(s69) | (~until27(s69))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18351])).
% 21.87/22.23 tff(18353,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18352, 18350])).
% 21.87/22.23 tff(18354,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18355,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 21.87/22.23 tff(18356,plain,
% 21.87/22.23 (xuntil28(s69)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18355, 17403, 18349, 16892])).
% 21.87/22.23 tff(18357,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18358,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18359,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 21.87/22.23 tff(18360,plain,
% 21.87/22.23 ((~xuntil28(s69)) | until27(s70)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18359, 5909, 17421])).
% 21.87/22.23 tff(18361,plain,
% 21.87/22.23 (until27(s70)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18360, 18356])).
% 21.87/22.23 tff(18362,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s70) | node26(s70) | (~until27(s70)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18363,plain,
% 21.87/22.23 ((node26(s70) | (~until27(s70)) | xuntil28(s70)) <=> (xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18364,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s70) | node26(s70) | (~until27(s70))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18363])).
% 21.87/22.23 tff(18365,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18364, 18362])).
% 21.87/22.23 tff(18366,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18367,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 21.87/22.23 tff(18368,plain,
% 21.87/22.23 (xuntil28(s70) | node26(s70)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18367, 17403, 18361])).
% 21.87/22.23 tff(18369,plain,
% 21.87/22.23 (xuntil28(s70)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18368, 16888])).
% 21.87/22.23 tff(18370,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18371,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18372,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 21.87/22.23 tff(18373,plain,
% 21.87/22.23 ((~xuntil28(s70)) | until27(s71)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18372, 6008, 17421])).
% 21.87/22.23 tff(18374,plain,
% 21.87/22.23 (until27(s71)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18373, 18369])).
% 21.87/22.23 tff(18375,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s71) | node26(s71) | (~until27(s71)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18376,plain,
% 21.87/22.23 ((node26(s71) | (~until27(s71)) | xuntil28(s71)) <=> (xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18377,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s71) | node26(s71) | (~until27(s71))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18376])).
% 21.87/22.23 tff(18378,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18377, 18375])).
% 21.87/22.23 tff(18379,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18380,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 21.87/22.23 tff(18381,plain,
% 21.87/22.23 (xuntil28(s71)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18380, 17403, 18374, 16879])).
% 21.87/22.23 tff(18382,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18383,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18384,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18383, 18382])).
% 21.87/22.23 tff(18385,plain,
% 21.87/22.23 ((~xuntil28(s71)) | until27(s72)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18384, 6086, 17421])).
% 21.87/22.23 tff(18386,plain,
% 21.87/22.23 (until27(s72)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18385, 18381])).
% 21.87/22.23 tff(18387,plain,
% 21.87/22.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18388,plain,
% 21.87/22.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18389,plain,
% 21.87/22.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 21.87/22.23 tff(18390,plain,
% 21.87/22.23 (~node26(s72)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18389, 6122, 6113])).
% 21.87/22.23 tff(18391,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s72) | node26(s72) | (~until27(s72)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18392,plain,
% 21.87/22.23 ((node26(s72) | (~until27(s72)) | xuntil28(s72)) <=> (xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18393,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s72) | node26(s72) | (~until27(s72))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18392])).
% 21.87/22.23 tff(18394,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18393, 18391])).
% 21.87/22.23 tff(18395,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18396,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 21.87/22.23 tff(18397,plain,
% 21.87/22.23 (xuntil28(s72) | (~until27(s72))),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18396, 17403, 18390])).
% 21.87/22.23 tff(18398,plain,
% 21.87/22.23 (xuntil28(s72)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18397, 18386])).
% 21.87/22.23 tff(18399,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18400,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18401,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 21.87/22.23 tff(18402,plain,
% 21.87/22.23 ((~xuntil28(s72)) | until27(s73)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18401, 6215, 17421])).
% 21.87/22.23 tff(18403,plain,
% 21.87/22.23 (until27(s73)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18402, 18398])).
% 21.87/22.23 tff(18404,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s73) | node26(s73) | (~until27(s73)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18405,plain,
% 21.87/22.23 ((node26(s73) | (~until27(s73)) | xuntil28(s73)) <=> (xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18406,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s73) | node26(s73) | (~until27(s73))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18405])).
% 21.87/22.23 tff(18407,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18406, 18404])).
% 21.87/22.23 tff(18408,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18409,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 21.87/22.23 tff(18410,plain,
% 21.87/22.23 (xuntil28(s73)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18409, 17403, 18403, 16870])).
% 21.87/22.23 tff(18411,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18412,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18413,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 21.87/22.23 tff(18414,plain,
% 21.87/22.23 ((~xuntil28(s73)) | until27(s74)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18413, 6282, 17421])).
% 21.87/22.23 tff(18415,plain,
% 21.87/22.23 (until27(s74)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18414, 18410])).
% 21.87/22.23 tff(18416,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s74) | node26(s74) | (~until27(s74)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18417,plain,
% 21.87/22.23 ((node26(s74) | (~until27(s74)) | xuntil28(s74)) <=> (xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18418,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s74) | node26(s74) | (~until27(s74))))),
% 21.87/22.23 inference(monotonicity,[status(thm)],[18417])).
% 21.87/22.23 tff(18419,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 21.87/22.23 inference(transitivity,[status(thm)],[18418, 18416])).
% 21.87/22.23 tff(18420,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18421,plain,
% 21.87/22.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74))),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 21.87/22.23 tff(18422,plain,
% 21.87/22.23 (xuntil28(s74) | node26(s74)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18421, 17403, 18415])).
% 21.87/22.23 tff(18423,plain,
% 21.87/22.23 (xuntil28(s74)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18422, 16866])).
% 21.87/22.23 tff(18424,plain,
% 21.87/22.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18425,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))),
% 21.87/22.23 inference(quant_inst,[status(thm)],[])).
% 21.87/22.23 tff(18426,plain,
% 21.87/22.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75)),
% 21.87/22.23 inference(modus_ponens,[status(thm)],[18425, 18424])).
% 21.87/22.23 tff(18427,plain,
% 21.87/22.23 ((~xuntil28(s74)) | until27(s75)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18426, 6381, 17421])).
% 21.87/22.23 tff(18428,plain,
% 21.87/22.23 (until27(s75)),
% 21.87/22.23 inference(unit_resolution,[status(thm)],[18427, 18423])).
% 21.87/22.23 tff(18429,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s75) | node26(s75) | (~until27(s75)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18430,plain,
% 21.87/22.23 ((node26(s75) | (~until27(s75)) | xuntil28(s75)) <=> (xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 21.87/22.23 inference(rewrite,[status(thm)],[])).
% 21.87/22.23 tff(18431,plain,
% 21.87/22.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s75) | node26(s75) | (~until27(s75))))),
% 21.87/22.24 inference(monotonicity,[status(thm)],[18430])).
% 21.87/22.24 tff(18432,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 21.87/22.24 inference(transitivity,[status(thm)],[18431, 18429])).
% 21.87/22.24 tff(18433,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18434,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18433, 18432])).
% 21.87/22.24 tff(18435,plain,
% 21.87/22.24 (xuntil28(s75)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18434, 17403, 18428, 16857])).
% 21.87/22.24 tff(18436,plain,
% 21.87/22.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18437,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18438,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76)),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 21.87/22.24 tff(18439,plain,
% 21.87/22.24 ((~xuntil28(s75)) | until27(s76)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18438, 6459, 17421])).
% 21.87/22.24 tff(18440,plain,
% 21.87/22.24 (until27(s76)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18439, 18435])).
% 21.87/22.24 tff(18441,plain,
% 21.87/22.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18442,plain,
% 21.87/22.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18443,plain,
% 21.87/22.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18442, 18441])).
% 21.87/22.24 tff(18444,plain,
% 21.87/22.24 (~node26(s76)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18443, 6122, 16848])).
% 21.87/22.24 tff(18445,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s76) | node26(s76) | (~until27(s76)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18446,plain,
% 21.87/22.24 ((node26(s76) | (~until27(s76)) | xuntil28(s76)) <=> (xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18447,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s76) | node26(s76) | (~until27(s76))))),
% 21.87/22.24 inference(monotonicity,[status(thm)],[18446])).
% 21.87/22.24 tff(18448,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 21.87/22.24 inference(transitivity,[status(thm)],[18447, 18445])).
% 21.87/22.24 tff(18449,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18450,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 21.87/22.24 tff(18451,plain,
% 21.87/22.24 (xuntil28(s76) | (~until27(s76))),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18450, 17403, 18444])).
% 21.87/22.24 tff(18452,plain,
% 21.87/22.24 (xuntil28(s76)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18451, 18440])).
% 21.87/22.24 tff(18453,plain,
% 21.87/22.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18454,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18455,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77)),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18454, 18453])).
% 21.87/22.24 tff(18456,plain,
% 21.87/22.24 ((~xuntil28(s76)) | until27(s77)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18455, 6520, 17421])).
% 21.87/22.24 tff(18457,plain,
% 21.87/22.24 (until27(s77)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18456, 18452])).
% 21.87/22.24 tff(18458,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s77) | node26(s77) | (~until27(s77)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18459,plain,
% 21.87/22.24 ((node26(s77) | (~until27(s77)) | xuntil28(s77)) <=> (xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18460,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s77) | node26(s77) | (~until27(s77))))),
% 21.87/22.24 inference(monotonicity,[status(thm)],[18459])).
% 21.87/22.24 tff(18461,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 21.87/22.24 inference(transitivity,[status(thm)],[18460, 18458])).
% 21.87/22.24 tff(18462,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18463,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18462, 18461])).
% 21.87/22.24 tff(18464,plain,
% 21.87/22.24 (xuntil28(s77)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18463, 17403, 18457, 16841])).
% 21.87/22.24 tff(18465,plain,
% 21.87/22.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18466,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18467,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78)),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18466, 18465])).
% 21.87/22.24 tff(18468,plain,
% 21.87/22.24 ((~xuntil28(s77)) | until27(s78)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18467, 6615, 17421])).
% 21.87/22.24 tff(18469,plain,
% 21.87/22.24 (until27(s78)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18468, 18464])).
% 21.87/22.24 tff(18470,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s78) | node26(s78) | (~until27(s78)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18471,plain,
% 21.87/22.24 ((node26(s78) | (~until27(s78)) | xuntil28(s78)) <=> (xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18472,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s78) | node26(s78) | (~until27(s78))))),
% 21.87/22.24 inference(monotonicity,[status(thm)],[18471])).
% 21.87/22.24 tff(18473,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 21.87/22.24 inference(transitivity,[status(thm)],[18472, 18470])).
% 21.87/22.24 tff(18474,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18475,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18474, 18473])).
% 21.87/22.24 tff(18476,plain,
% 21.87/22.24 (xuntil28(s78) | node26(s78)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18475, 17403, 18469])).
% 21.87/22.24 tff(18477,plain,
% 21.87/22.24 (xuntil28(s78)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18476, 16837])).
% 21.87/22.24 tff(18478,plain,
% 21.87/22.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18479,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18480,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79)),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18479, 18478])).
% 21.87/22.24 tff(18481,plain,
% 21.87/22.24 ((~xuntil28(s78)) | until27(s79)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18480, 6679, 17421])).
% 21.87/22.24 tff(18482,plain,
% 21.87/22.24 (until27(s79)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18481, 18477])).
% 21.87/22.24 tff(18483,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s79) | node26(s79) | (~until27(s79)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18484,plain,
% 21.87/22.24 ((node26(s79) | (~until27(s79)) | xuntil28(s79)) <=> (xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18485,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s79) | node26(s79) | (~until27(s79))))),
% 21.87/22.24 inference(monotonicity,[status(thm)],[18484])).
% 21.87/22.24 tff(18486,plain,
% 21.87/22.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 21.87/22.24 inference(transitivity,[status(thm)],[18485, 18483])).
% 21.87/22.24 tff(18487,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18488,plain,
% 21.87/22.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79))),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18487, 18486])).
% 21.87/22.24 tff(18489,plain,
% 21.87/22.24 (xuntil28(s79)),
% 21.87/22.24 inference(unit_resolution,[status(thm)],[18488, 17403, 18482, 16828])).
% 21.87/22.24 tff(18490,plain,
% 21.87/22.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))),
% 21.87/22.24 inference(rewrite,[status(thm)],[])).
% 21.87/22.24 tff(18491,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))),
% 21.87/22.24 inference(quant_inst,[status(thm)],[])).
% 21.87/22.24 tff(18492,plain,
% 21.87/22.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80)),
% 21.87/22.24 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 21.87/22.24 tff(18493,plain,
% 21.87/22.25 ((~xuntil28(s79)) | until27(s80)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18492, 6754, 17421])).
% 21.87/22.25 tff(18494,plain,
% 21.87/22.25 (until27(s80)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18493, 18489])).
% 21.87/22.25 tff(18495,plain,
% 21.87/22.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18496,plain,
% 21.87/22.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18497,plain,
% 21.87/22.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 21.87/22.25 tff(18498,plain,
% 21.87/22.25 (~node26(s80)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18497, 6122, 16819])).
% 21.87/22.25 tff(18499,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s80) | node26(s80) | (~until27(s80)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18500,plain,
% 21.87/22.25 ((node26(s80) | (~until27(s80)) | xuntil28(s80)) <=> (xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18501,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s80) | node26(s80) | (~until27(s80))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18500])).
% 21.87/22.25 tff(18502,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18501, 18499])).
% 21.87/22.25 tff(18503,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18504,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 21.87/22.25 tff(18505,plain,
% 21.87/22.25 (xuntil28(s80) | (~until27(s80))),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18504, 17403, 18498])).
% 21.87/22.25 tff(18506,plain,
% 21.87/22.25 (xuntil28(s80)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18505, 18494])).
% 21.87/22.25 tff(18507,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18508,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18509,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18508, 18507])).
% 21.87/22.25 tff(18510,plain,
% 21.87/22.25 ((~xuntil28(s80)) | until27(s81)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18509, 6843, 17421])).
% 21.87/22.25 tff(18511,plain,
% 21.87/22.25 (until27(s81)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18510, 18506])).
% 21.87/22.25 tff(18512,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s81) | node26(s81) | (~until27(s81)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18513,plain,
% 21.87/22.25 ((node26(s81) | (~until27(s81)) | xuntil28(s81)) <=> (xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18514,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s81) | node26(s81) | (~until27(s81))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18513])).
% 21.87/22.25 tff(18515,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18514, 18512])).
% 21.87/22.25 tff(18516,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18517,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 21.87/22.25 tff(18518,plain,
% 21.87/22.25 (xuntil28(s81)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18517, 17403, 18511, 16812])).
% 21.87/22.25 tff(18519,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18520,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18521,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 21.87/22.25 tff(18522,plain,
% 21.87/22.25 ((~xuntil28(s81)) | until27(s82)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18521, 6910, 17421])).
% 21.87/22.25 tff(18523,plain,
% 21.87/22.25 (until27(s82)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18522, 18518])).
% 21.87/22.25 tff(18524,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s82) | node26(s82) | (~until27(s82)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18525,plain,
% 21.87/22.25 ((node26(s82) | (~until27(s82)) | xuntil28(s82)) <=> (xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18526,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s82) | node26(s82) | (~until27(s82))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18525])).
% 21.87/22.25 tff(18527,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18526, 18524])).
% 21.87/22.25 tff(18528,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18529,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 21.87/22.25 tff(18530,plain,
% 21.87/22.25 (xuntil28(s82) | node26(s82)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18529, 17403, 18523])).
% 21.87/22.25 tff(18531,plain,
% 21.87/22.25 (xuntil28(s82)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18530, 16808])).
% 21.87/22.25 tff(18532,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18533,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18534,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18533, 18532])).
% 21.87/22.25 tff(18535,plain,
% 21.87/22.25 ((~xuntil28(s82)) | until27(s83)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18534, 7009, 17421])).
% 21.87/22.25 tff(18536,plain,
% 21.87/22.25 (until27(s83)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18535, 18531])).
% 21.87/22.25 tff(18537,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s83) | node26(s83) | (~until27(s83)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18538,plain,
% 21.87/22.25 ((node26(s83) | (~until27(s83)) | xuntil28(s83)) <=> (xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18539,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s83) | node26(s83) | (~until27(s83))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18538])).
% 21.87/22.25 tff(18540,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18539, 18537])).
% 21.87/22.25 tff(18541,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18542,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18541, 18540])).
% 21.87/22.25 tff(18543,plain,
% 21.87/22.25 (xuntil28(s83)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18542, 17403, 18536, 16799])).
% 21.87/22.25 tff(18544,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18545,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18546,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 21.87/22.25 tff(18547,plain,
% 21.87/22.25 ((~xuntil28(s83)) | until27(s84)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18546, 7087, 17421])).
% 21.87/22.25 tff(18548,plain,
% 21.87/22.25 (until27(s84)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18547, 18543])).
% 21.87/22.25 tff(18549,plain,
% 21.87/22.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18550,plain,
% 21.87/22.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18551,plain,
% 21.87/22.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18550, 18549])).
% 21.87/22.25 tff(18552,plain,
% 21.87/22.25 (~node26(s84)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18551, 6122, 16790])).
% 21.87/22.25 tff(18553,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s84) | node26(s84) | (~until27(s84)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18554,plain,
% 21.87/22.25 ((node26(s84) | (~until27(s84)) | xuntil28(s84)) <=> (xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18555,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s84) | node26(s84) | (~until27(s84))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18554])).
% 21.87/22.25 tff(18556,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18555, 18553])).
% 21.87/22.25 tff(18557,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18558,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 21.87/22.25 tff(18559,plain,
% 21.87/22.25 (xuntil28(s84) | (~until27(s84))),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18558, 17403, 18552])).
% 21.87/22.25 tff(18560,plain,
% 21.87/22.25 (xuntil28(s84)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18559, 18548])).
% 21.87/22.25 tff(18561,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18562,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18563,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18562, 18561])).
% 21.87/22.25 tff(18564,plain,
% 21.87/22.25 ((~xuntil28(s84)) | until27(s85)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18563, 7148, 17421])).
% 21.87/22.25 tff(18565,plain,
% 21.87/22.25 (until27(s85)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18564, 18560])).
% 21.87/22.25 tff(18566,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s85) | node26(s85) | (~until27(s85)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18567,plain,
% 21.87/22.25 ((node26(s85) | (~until27(s85)) | xuntil28(s85)) <=> (xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18568,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s85) | node26(s85) | (~until27(s85))))),
% 21.87/22.25 inference(monotonicity,[status(thm)],[18567])).
% 21.87/22.25 tff(18569,plain,
% 21.87/22.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 21.87/22.25 inference(transitivity,[status(thm)],[18568, 18566])).
% 21.87/22.25 tff(18570,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18571,plain,
% 21.87/22.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85))),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18570, 18569])).
% 21.87/22.25 tff(18572,plain,
% 21.87/22.25 (xuntil28(s85)),
% 21.87/22.25 inference(unit_resolution,[status(thm)],[18571, 17403, 18565, 16783])).
% 21.87/22.25 tff(18573,plain,
% 21.87/22.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))),
% 21.87/22.25 inference(rewrite,[status(thm)],[])).
% 21.87/22.25 tff(18574,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))),
% 21.87/22.25 inference(quant_inst,[status(thm)],[])).
% 21.87/22.25 tff(18575,plain,
% 21.87/22.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86)),
% 21.87/22.25 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 21.87/22.25 tff(18576,plain,
% 21.87/22.25 ((~xuntil28(s85)) | until27(s86)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18575, 7243, 17421])).
% 21.87/22.26 tff(18577,plain,
% 21.87/22.26 (until27(s86)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18576, 18572])).
% 21.87/22.26 tff(18578,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s86) | node26(s86) | (~until27(s86)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18579,plain,
% 21.87/22.26 ((node26(s86) | (~until27(s86)) | xuntil28(s86)) <=> (xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18580,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s86) | node26(s86) | (~until27(s86))))),
% 21.87/22.26 inference(monotonicity,[status(thm)],[18579])).
% 21.87/22.26 tff(18581,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 21.87/22.26 inference(transitivity,[status(thm)],[18580, 18578])).
% 21.87/22.26 tff(18582,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18583,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 21.87/22.26 tff(18584,plain,
% 21.87/22.26 (xuntil28(s86) | node26(s86)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18583, 17403, 18577])).
% 21.87/22.26 tff(18585,plain,
% 21.87/22.26 (xuntil28(s86)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18584, 16779])).
% 21.87/22.26 tff(18586,plain,
% 21.87/22.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18587,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18588,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87)),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 21.87/22.26 tff(18589,plain,
% 21.87/22.26 ((~xuntil28(s86)) | until27(s87)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18588, 7307, 17421])).
% 21.87/22.26 tff(18590,plain,
% 21.87/22.26 (until27(s87)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18589, 18585])).
% 21.87/22.26 tff(18591,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s87) | node26(s87) | (~until27(s87)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18592,plain,
% 21.87/22.26 ((node26(s87) | (~until27(s87)) | xuntil28(s87)) <=> (xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18593,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s87) | node26(s87) | (~until27(s87))))),
% 21.87/22.26 inference(monotonicity,[status(thm)],[18592])).
% 21.87/22.26 tff(18594,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 21.87/22.26 inference(transitivity,[status(thm)],[18593, 18591])).
% 21.87/22.26 tff(18595,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18596,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 21.87/22.26 tff(18597,plain,
% 21.87/22.26 (xuntil28(s87)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18596, 17403, 18590, 16770])).
% 21.87/22.26 tff(18598,plain,
% 21.87/22.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18599,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18600,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88)),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18599, 18598])).
% 21.87/22.26 tff(18601,plain,
% 21.87/22.26 ((~xuntil28(s87)) | until27(s88)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18600, 7382, 17421])).
% 21.87/22.26 tff(18602,plain,
% 21.87/22.26 (until27(s88)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18601, 18597])).
% 21.87/22.26 tff(18603,plain,
% 21.87/22.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18604,plain,
% 21.87/22.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18605,plain,
% 21.87/22.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18604, 18603])).
% 21.87/22.26 tff(18606,plain,
% 21.87/22.26 (~node26(s88)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18605, 6122, 16761])).
% 21.87/22.26 tff(18607,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s88) | node26(s88) | (~until27(s88)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18608,plain,
% 21.87/22.26 ((node26(s88) | (~until27(s88)) | xuntil28(s88)) <=> (xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18609,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s88) | node26(s88) | (~until27(s88))))),
% 21.87/22.26 inference(monotonicity,[status(thm)],[18608])).
% 21.87/22.26 tff(18610,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 21.87/22.26 inference(transitivity,[status(thm)],[18609, 18607])).
% 21.87/22.26 tff(18611,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18612,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 21.87/22.26 tff(18613,plain,
% 21.87/22.26 (xuntil28(s88) | (~until27(s88))),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18612, 17403, 18606])).
% 21.87/22.26 tff(18614,plain,
% 21.87/22.26 (xuntil28(s88)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18613, 18602])).
% 21.87/22.26 tff(18615,plain,
% 21.87/22.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18616,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18617,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89)),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 21.87/22.26 tff(18618,plain,
% 21.87/22.26 ((~xuntil28(s88)) | until27(s89)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18617, 7471, 17421])).
% 21.87/22.26 tff(18619,plain,
% 21.87/22.26 (until27(s89)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18618, 18614])).
% 21.87/22.26 tff(18620,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s89) | node26(s89) | (~until27(s89)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18621,plain,
% 21.87/22.26 ((node26(s89) | (~until27(s89)) | xuntil28(s89)) <=> (xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18622,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s89) | node26(s89) | (~until27(s89))))),
% 21.87/22.26 inference(monotonicity,[status(thm)],[18621])).
% 21.87/22.26 tff(18623,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 21.87/22.26 inference(transitivity,[status(thm)],[18622, 18620])).
% 21.87/22.26 tff(18624,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18625,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 21.87/22.26 tff(18626,plain,
% 21.87/22.26 (xuntil28(s89)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18625, 17403, 18619, 16754])).
% 21.87/22.26 tff(18627,plain,
% 21.87/22.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18628,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18629,plain,
% 21.87/22.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90)),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 21.87/22.26 tff(18630,plain,
% 21.87/22.26 ((~xuntil28(s89)) | until27(s90)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18629, 7538, 17421])).
% 21.87/22.26 tff(18631,plain,
% 21.87/22.26 (until27(s90)),
% 21.87/22.26 inference(unit_resolution,[status(thm)],[18630, 18626])).
% 21.87/22.26 tff(18632,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s90) | node26(s90) | (~until27(s90)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18633,plain,
% 21.87/22.26 ((node26(s90) | (~until27(s90)) | xuntil28(s90)) <=> (xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 21.87/22.26 inference(rewrite,[status(thm)],[])).
% 21.87/22.26 tff(18634,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s90) | node26(s90) | (~until27(s90))))),
% 21.87/22.26 inference(monotonicity,[status(thm)],[18633])).
% 21.87/22.26 tff(18635,plain,
% 21.87/22.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 21.87/22.26 inference(transitivity,[status(thm)],[18634, 18632])).
% 21.87/22.26 tff(18636,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))),
% 21.87/22.26 inference(quant_inst,[status(thm)],[])).
% 21.87/22.26 tff(18637,plain,
% 21.87/22.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90))),
% 21.87/22.26 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 21.87/22.27 tff(18638,plain,
% 21.87/22.27 (xuntil28(s90) | node26(s90)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18637, 17403, 18631])).
% 21.87/22.27 tff(18639,plain,
% 21.87/22.27 (xuntil28(s90)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18638, 16750])).
% 21.87/22.27 tff(18640,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18641,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18642,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 21.87/22.27 tff(18643,plain,
% 21.87/22.27 ((~xuntil28(s90)) | until27(s91)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18642, 7637, 17421])).
% 21.87/22.27 tff(18644,plain,
% 21.87/22.27 (until27(s91)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18643, 18639])).
% 21.87/22.27 tff(18645,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s91) | node26(s91) | (~until27(s91)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18646,plain,
% 21.87/22.27 ((node26(s91) | (~until27(s91)) | xuntil28(s91)) <=> (xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18647,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s91) | node26(s91) | (~until27(s91))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18646])).
% 21.87/22.27 tff(18648,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18647, 18645])).
% 21.87/22.27 tff(18649,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18650,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18649, 18648])).
% 21.87/22.27 tff(18651,plain,
% 21.87/22.27 (xuntil28(s91)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18650, 17403, 18644, 16741])).
% 21.87/22.27 tff(18652,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18653,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18654,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 21.87/22.27 tff(18655,plain,
% 21.87/22.27 ((~xuntil28(s91)) | until27(s92)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18654, 7715, 17421])).
% 21.87/22.27 tff(18656,plain,
% 21.87/22.27 (until27(s92)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18655, 18651])).
% 21.87/22.27 tff(18657,plain,
% 21.87/22.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18658,plain,
% 21.87/22.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18659,plain,
% 21.87/22.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 21.87/22.27 tff(18660,plain,
% 21.87/22.27 (~node26(s92)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18659, 6122, 16732])).
% 21.87/22.27 tff(18661,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s92) | node26(s92) | (~until27(s92)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18662,plain,
% 21.87/22.27 ((node26(s92) | (~until27(s92)) | xuntil28(s92)) <=> (xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18663,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s92) | node26(s92) | (~until27(s92))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18662])).
% 21.87/22.27 tff(18664,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18663, 18661])).
% 21.87/22.27 tff(18665,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18666,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18665, 18664])).
% 21.87/22.27 tff(18667,plain,
% 21.87/22.27 (xuntil28(s92) | (~until27(s92))),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18666, 17403, 18660])).
% 21.87/22.27 tff(18668,plain,
% 21.87/22.27 (xuntil28(s92)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18667, 18656])).
% 21.87/22.27 tff(18669,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18670,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18671,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18670, 18669])).
% 21.87/22.27 tff(18672,plain,
% 21.87/22.27 ((~xuntil28(s92)) | until27(s93)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18671, 7776, 17421])).
% 21.87/22.27 tff(18673,plain,
% 21.87/22.27 (until27(s93)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18672, 18668])).
% 21.87/22.27 tff(18674,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s93) | node26(s93) | (~until27(s93)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18675,plain,
% 21.87/22.27 ((node26(s93) | (~until27(s93)) | xuntil28(s93)) <=> (xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18676,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s93) | node26(s93) | (~until27(s93))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18675])).
% 21.87/22.27 tff(18677,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18676, 18674])).
% 21.87/22.27 tff(18678,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18679,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18678, 18677])).
% 21.87/22.27 tff(18680,plain,
% 21.87/22.27 (xuntil28(s93)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18679, 17403, 18673, 16725])).
% 21.87/22.27 tff(18681,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18682,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18683,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18682, 18681])).
% 21.87/22.27 tff(18684,plain,
% 21.87/22.27 ((~xuntil28(s93)) | until27(s94)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18683, 7871, 17421])).
% 21.87/22.27 tff(18685,plain,
% 21.87/22.27 (until27(s94)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18684, 18680])).
% 21.87/22.27 tff(18686,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s94) | node26(s94) | (~until27(s94)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18687,plain,
% 21.87/22.27 ((node26(s94) | (~until27(s94)) | xuntil28(s94)) <=> (xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18688,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s94) | node26(s94) | (~until27(s94))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18687])).
% 21.87/22.27 tff(18689,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18688, 18686])).
% 21.87/22.27 tff(18690,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18691,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 21.87/22.27 tff(18692,plain,
% 21.87/22.27 (xuntil28(s94) | node26(s94)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18691, 17403, 18685])).
% 21.87/22.27 tff(18693,plain,
% 21.87/22.27 (xuntil28(s94)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18692, 16721])).
% 21.87/22.27 tff(18694,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18695,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18696,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18695, 18694])).
% 21.87/22.27 tff(18697,plain,
% 21.87/22.27 ((~xuntil28(s94)) | until27(s95)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18696, 7935, 17421])).
% 21.87/22.27 tff(18698,plain,
% 21.87/22.27 (until27(s95)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18697, 18693])).
% 21.87/22.27 tff(18699,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s95) | node26(s95) | (~until27(s95)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18700,plain,
% 21.87/22.27 ((node26(s95) | (~until27(s95)) | xuntil28(s95)) <=> (xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18701,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s95) | node26(s95) | (~until27(s95))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18700])).
% 21.87/22.27 tff(18702,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18701, 18699])).
% 21.87/22.27 tff(18703,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18704,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 21.87/22.27 tff(18705,plain,
% 21.87/22.27 (xuntil28(s95)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18704, 17403, 18698, 16712])).
% 21.87/22.27 tff(18706,plain,
% 21.87/22.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18707,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18708,plain,
% 21.87/22.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96)),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 21.87/22.27 tff(18709,plain,
% 21.87/22.27 ((~xuntil28(s95)) | until27(s96)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18708, 8010, 17421])).
% 21.87/22.27 tff(18710,plain,
% 21.87/22.27 (until27(s96)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18709, 18705])).
% 21.87/22.27 tff(18711,plain,
% 21.87/22.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18712,plain,
% 21.87/22.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18713,plain,
% 21.87/22.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18712, 18711])).
% 21.87/22.27 tff(18714,plain,
% 21.87/22.27 (~node26(s96)),
% 21.87/22.27 inference(unit_resolution,[status(thm)],[18713, 6122, 16703])).
% 21.87/22.27 tff(18715,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s96) | node26(s96) | (~until27(s96)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18716,plain,
% 21.87/22.27 ((node26(s96) | (~until27(s96)) | xuntil28(s96)) <=> (xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 21.87/22.27 inference(rewrite,[status(thm)],[])).
% 21.87/22.27 tff(18717,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s96) | node26(s96) | (~until27(s96))))),
% 21.87/22.27 inference(monotonicity,[status(thm)],[18716])).
% 21.87/22.27 tff(18718,plain,
% 21.87/22.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 21.87/22.27 inference(transitivity,[status(thm)],[18717, 18715])).
% 21.87/22.27 tff(18719,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))),
% 21.87/22.27 inference(quant_inst,[status(thm)],[])).
% 21.87/22.27 tff(18720,plain,
% 21.87/22.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96))),
% 21.87/22.27 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 21.87/22.27 tff(18721,plain,
% 21.87/22.28 (xuntil28(s96) | (~until27(s96))),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18720, 17403, 18714])).
% 21.87/22.28 tff(18722,plain,
% 21.87/22.28 (xuntil28(s96)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18721, 18710])).
% 21.87/22.28 tff(18723,plain,
% 21.87/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18724,plain,
% 21.87/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))),
% 21.87/22.28 inference(quant_inst,[status(thm)],[])).
% 21.87/22.28 tff(18725,plain,
% 21.87/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97)),
% 21.87/22.28 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 21.87/22.28 tff(18726,plain,
% 21.87/22.28 ((~xuntil28(s96)) | until27(s97)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18725, 8099, 17421])).
% 21.87/22.28 tff(18727,plain,
% 21.87/22.28 (until27(s97)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18726, 18722])).
% 21.87/22.28 tff(18728,plain,
% 21.87/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s97) | node26(s97) | (~until27(s97)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18729,plain,
% 21.87/22.28 ((node26(s97) | (~until27(s97)) | xuntil28(s97)) <=> (xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18730,plain,
% 21.87/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s97) | node26(s97) | (~until27(s97))))),
% 21.87/22.28 inference(monotonicity,[status(thm)],[18729])).
% 21.87/22.28 tff(18731,plain,
% 21.87/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 21.87/22.28 inference(transitivity,[status(thm)],[18730, 18728])).
% 21.87/22.28 tff(18732,plain,
% 21.87/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))),
% 21.87/22.28 inference(quant_inst,[status(thm)],[])).
% 21.87/22.28 tff(18733,plain,
% 21.87/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97))),
% 21.87/22.28 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 21.87/22.28 tff(18734,plain,
% 21.87/22.28 (xuntil28(s97)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18733, 17403, 18727, 16696])).
% 21.87/22.28 tff(18735,plain,
% 21.87/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18736,plain,
% 21.87/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))),
% 21.87/22.28 inference(quant_inst,[status(thm)],[])).
% 21.87/22.28 tff(18737,plain,
% 21.87/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98)),
% 21.87/22.28 inference(modus_ponens,[status(thm)],[18736, 18735])).
% 21.87/22.28 tff(18738,plain,
% 21.87/22.28 ((~xuntil28(s97)) | until27(s98)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18737, 8166, 17421])).
% 21.87/22.28 tff(18739,plain,
% 21.87/22.28 (until27(s98)),
% 21.87/22.28 inference(unit_resolution,[status(thm)],[18738, 18734])).
% 21.87/22.28 tff(18740,plain,
% 21.87/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s98) | node26(s98) | (~until27(s98)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18741,plain,
% 21.87/22.28 ((node26(s98) | (~until27(s98)) | xuntil28(s98)) <=> (xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 21.87/22.28 inference(rewrite,[status(thm)],[])).
% 21.87/22.28 tff(18742,plain,
% 21.87/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s98) | node26(s98) | (~until27(s98))))),
% 21.94/22.28 inference(monotonicity,[status(thm)],[18741])).
% 21.94/22.28 tff(18743,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 21.94/22.28 inference(transitivity,[status(thm)],[18742, 18740])).
% 21.94/22.28 tff(18744,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18745,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18744, 18743])).
% 21.94/22.28 tff(18746,plain,
% 21.94/22.28 (xuntil28(s98) | node26(s98)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18745, 17403, 18739])).
% 21.94/22.28 tff(18747,plain,
% 21.94/22.28 (xuntil28(s98)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18746, 16692])).
% 21.94/22.28 tff(18748,plain,
% 21.94/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18749,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18750,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99)),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 21.94/22.28 tff(18751,plain,
% 21.94/22.28 ((~xuntil28(s98)) | until27(s99)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18750, 8265, 17421])).
% 21.94/22.28 tff(18752,plain,
% 21.94/22.28 (until27(s99)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18751, 18747])).
% 21.94/22.28 tff(18753,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s99) | node26(s99) | (~until27(s99)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18754,plain,
% 21.94/22.28 ((node26(s99) | (~until27(s99)) | xuntil28(s99)) <=> (xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18755,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s99) | node26(s99) | (~until27(s99))))),
% 21.94/22.28 inference(monotonicity,[status(thm)],[18754])).
% 21.94/22.28 tff(18756,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 21.94/22.28 inference(transitivity,[status(thm)],[18755, 18753])).
% 21.94/22.28 tff(18757,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18758,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18757, 18756])).
% 21.94/22.28 tff(18759,plain,
% 21.94/22.28 (xuntil28(s99)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18758, 17403, 18752, 16683])).
% 21.94/22.28 tff(18760,plain,
% 21.94/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18761,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18762,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100)),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 21.94/22.28 tff(18763,plain,
% 21.94/22.28 ((~xuntil28(s99)) | until27(s100)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18762, 8343, 17421])).
% 21.94/22.28 tff(18764,plain,
% 21.94/22.28 (until27(s100)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18763, 18759])).
% 21.94/22.28 tff(18765,plain,
% 21.94/22.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18766,plain,
% 21.94/22.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18767,plain,
% 21.94/22.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 21.94/22.28 tff(18768,plain,
% 21.94/22.28 (~node26(s100)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18767, 6122, 16674])).
% 21.94/22.28 tff(18769,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s100) | node26(s100) | (~until27(s100)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18770,plain,
% 21.94/22.28 ((node26(s100) | (~until27(s100)) | xuntil28(s100)) <=> (xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18771,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s100) | node26(s100) | (~until27(s100))))),
% 21.94/22.28 inference(monotonicity,[status(thm)],[18770])).
% 21.94/22.28 tff(18772,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 21.94/22.28 inference(transitivity,[status(thm)],[18771, 18769])).
% 21.94/22.28 tff(18773,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18774,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 21.94/22.28 tff(18775,plain,
% 21.94/22.28 (xuntil28(s100) | (~until27(s100))),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18774, 17403, 18768])).
% 21.94/22.28 tff(18776,plain,
% 21.94/22.28 (xuntil28(s100)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18775, 18764])).
% 21.94/22.28 tff(18777,plain,
% 21.94/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18778,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18779,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101)),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 21.94/22.28 tff(18780,plain,
% 21.94/22.28 ((~xuntil28(s100)) | until27(s101)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18779, 8404, 17421])).
% 21.94/22.28 tff(18781,plain,
% 21.94/22.28 (until27(s101)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18780, 18776])).
% 21.94/22.28 tff(18782,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s101) | node26(s101) | (~until27(s101)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18783,plain,
% 21.94/22.28 ((node26(s101) | (~until27(s101)) | xuntil28(s101)) <=> (xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18784,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s101) | node26(s101) | (~until27(s101))))),
% 21.94/22.28 inference(monotonicity,[status(thm)],[18783])).
% 21.94/22.28 tff(18785,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 21.94/22.28 inference(transitivity,[status(thm)],[18784, 18782])).
% 21.94/22.28 tff(18786,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18787,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 21.94/22.28 tff(18788,plain,
% 21.94/22.28 (xuntil28(s101)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18787, 17403, 18781, 16667])).
% 21.94/22.28 tff(18789,plain,
% 21.94/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18790,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18791,plain,
% 21.94/22.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102)),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 21.94/22.28 tff(18792,plain,
% 21.94/22.28 ((~xuntil28(s101)) | until27(s102)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18791, 8499, 17421])).
% 21.94/22.28 tff(18793,plain,
% 21.94/22.28 (until27(s102)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18792, 18788])).
% 21.94/22.28 tff(18794,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s102) | node26(s102) | (~until27(s102)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18795,plain,
% 21.94/22.28 ((node26(s102) | (~until27(s102)) | xuntil28(s102)) <=> (xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.28 tff(18796,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s102) | node26(s102) | (~until27(s102))))),
% 21.94/22.28 inference(monotonicity,[status(thm)],[18795])).
% 21.94/22.28 tff(18797,plain,
% 21.94/22.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 21.94/22.28 inference(transitivity,[status(thm)],[18796, 18794])).
% 21.94/22.28 tff(18798,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))),
% 21.94/22.28 inference(quant_inst,[status(thm)],[])).
% 21.94/22.28 tff(18799,plain,
% 21.94/22.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102))),
% 21.94/22.28 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 21.94/22.28 tff(18800,plain,
% 21.94/22.28 (xuntil28(s102) | node26(s102)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18799, 17403, 18793])).
% 21.94/22.28 tff(18801,plain,
% 21.94/22.28 (xuntil28(s102)),
% 21.94/22.28 inference(unit_resolution,[status(thm)],[18800, 16663])).
% 21.94/22.28 tff(18802,plain,
% 21.94/22.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))),
% 21.94/22.28 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18803,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18804,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103)),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18803, 18802])).
% 21.94/22.29 tff(18805,plain,
% 21.94/22.29 ((~xuntil28(s102)) | until27(s103)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18804, 8563, 17421])).
% 21.94/22.29 tff(18806,plain,
% 21.94/22.29 (until27(s103)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18805, 18801])).
% 21.94/22.29 tff(18807,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s103) | node26(s103) | (~until27(s103)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18808,plain,
% 21.94/22.29 ((node26(s103) | (~until27(s103)) | xuntil28(s103)) <=> (xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18809,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s103) | node26(s103) | (~until27(s103))))),
% 21.94/22.29 inference(monotonicity,[status(thm)],[18808])).
% 21.94/22.29 tff(18810,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 21.94/22.29 inference(transitivity,[status(thm)],[18809, 18807])).
% 21.94/22.29 tff(18811,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18812,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103))),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 21.94/22.29 tff(18813,plain,
% 21.94/22.29 (xuntil28(s103)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18812, 17403, 18806, 16654])).
% 21.94/22.29 tff(18814,plain,
% 21.94/22.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18815,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18816,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104)),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 21.94/22.29 tff(18817,plain,
% 21.94/22.29 ((~xuntil28(s103)) | until27(s104)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18816, 8638, 17421])).
% 21.94/22.29 tff(18818,plain,
% 21.94/22.29 (until27(s104)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18817, 18813])).
% 21.94/22.29 tff(18819,plain,
% 21.94/22.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18820,plain,
% 21.94/22.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18821,plain,
% 21.94/22.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104))),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18820, 18819])).
% 21.94/22.29 tff(18822,plain,
% 21.94/22.29 (~node26(s104)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18821, 6122, 16645])).
% 21.94/22.29 tff(18823,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s104) | node26(s104) | (~until27(s104)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18824,plain,
% 21.94/22.29 ((node26(s104) | (~until27(s104)) | xuntil28(s104)) <=> (xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18825,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s104) | node26(s104) | (~until27(s104))))),
% 21.94/22.29 inference(monotonicity,[status(thm)],[18824])).
% 21.94/22.29 tff(18826,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 21.94/22.29 inference(transitivity,[status(thm)],[18825, 18823])).
% 21.94/22.29 tff(18827,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18828,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104))),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 21.94/22.29 tff(18829,plain,
% 21.94/22.29 (xuntil28(s104) | (~until27(s104))),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18828, 17403, 18822])).
% 21.94/22.29 tff(18830,plain,
% 21.94/22.29 (xuntil28(s104)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18829, 18818])).
% 21.94/22.29 tff(18831,plain,
% 21.94/22.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18832,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18833,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105)),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18832, 18831])).
% 21.94/22.29 tff(18834,plain,
% 21.94/22.29 ((~xuntil28(s104)) | until27(s105)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18833, 8727, 17421])).
% 21.94/22.29 tff(18835,plain,
% 21.94/22.29 (until27(s105)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18834, 18830])).
% 21.94/22.29 tff(18836,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s105) | node26(s105) | (~until27(s105)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18837,plain,
% 21.94/22.29 ((node26(s105) | (~until27(s105)) | xuntil28(s105)) <=> (xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18838,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s105) | node26(s105) | (~until27(s105))))),
% 21.94/22.29 inference(monotonicity,[status(thm)],[18837])).
% 21.94/22.29 tff(18839,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 21.94/22.29 inference(transitivity,[status(thm)],[18838, 18836])).
% 21.94/22.29 tff(18840,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18841,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105))),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18840, 18839])).
% 21.94/22.29 tff(18842,plain,
% 21.94/22.29 (xuntil28(s105)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18841, 17403, 18835, 16638])).
% 21.94/22.29 tff(18843,plain,
% 21.94/22.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18844,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18845,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106)),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18844, 18843])).
% 21.94/22.29 tff(18846,plain,
% 21.94/22.29 ((~xuntil28(s105)) | until27(s106)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18845, 8794, 17421])).
% 21.94/22.29 tff(18847,plain,
% 21.94/22.29 (until27(s106)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18846, 18842])).
% 21.94/22.29 tff(18848,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s106) | node26(s106) | (~until27(s106)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18849,plain,
% 21.94/22.29 ((node26(s106) | (~until27(s106)) | xuntil28(s106)) <=> (xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18850,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s106) | node26(s106) | (~until27(s106))))),
% 21.94/22.29 inference(monotonicity,[status(thm)],[18849])).
% 21.94/22.29 tff(18851,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 21.94/22.29 inference(transitivity,[status(thm)],[18850, 18848])).
% 21.94/22.29 tff(18852,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18853,plain,
% 21.94/22.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106))),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18852, 18851])).
% 21.94/22.29 tff(18854,plain,
% 21.94/22.29 (xuntil28(s106) | node26(s106)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18853, 17403, 18847])).
% 21.94/22.29 tff(18855,plain,
% 21.94/22.29 (xuntil28(s106)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18854, 16634])).
% 21.94/22.29 tff(18856,plain,
% 21.94/22.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18857,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))),
% 21.94/22.29 inference(quant_inst,[status(thm)],[])).
% 21.94/22.29 tff(18858,plain,
% 21.94/22.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107)),
% 21.94/22.29 inference(modus_ponens,[status(thm)],[18857, 18856])).
% 21.94/22.29 tff(18859,plain,
% 21.94/22.29 ((~xuntil28(s106)) | until27(s107)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18858, 8893, 17421])).
% 21.94/22.29 tff(18860,plain,
% 21.94/22.29 (until27(s107)),
% 21.94/22.29 inference(unit_resolution,[status(thm)],[18859, 18855])).
% 21.94/22.29 tff(18861,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s107) | node26(s107) | (~until27(s107)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18862,plain,
% 21.94/22.29 ((node26(s107) | (~until27(s107)) | xuntil28(s107)) <=> (xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 21.94/22.29 inference(rewrite,[status(thm)],[])).
% 21.94/22.29 tff(18863,plain,
% 21.94/22.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s107) | node26(s107) | (~until27(s107))))),
% 21.94/22.29 inference(monotonicity,[status(thm)],[18862])).
% 21.94/22.30 tff(18864,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18863, 18861])).
% 21.94/22.30 tff(18865,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18866,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 21.94/22.30 tff(18867,plain,
% 21.94/22.30 (xuntil28(s107)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18866, 17403, 18860, 16625])).
% 21.94/22.30 tff(18868,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18869,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18870,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 21.94/22.30 tff(18871,plain,
% 21.94/22.30 ((~xuntil28(s107)) | until27(s108)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18870, 8971, 17421])).
% 21.94/22.30 tff(18872,plain,
% 21.94/22.30 (until27(s108)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18871, 18867])).
% 21.94/22.30 tff(18873,plain,
% 21.94/22.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18874,plain,
% 21.94/22.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18875,plain,
% 21.94/22.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18874, 18873])).
% 21.94/22.30 tff(18876,plain,
% 21.94/22.30 (~node26(s108)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18875, 6122, 16616])).
% 21.94/22.30 tff(18877,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s108) | node26(s108) | (~until27(s108)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18878,plain,
% 21.94/22.30 ((node26(s108) | (~until27(s108)) | xuntil28(s108)) <=> (xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18879,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s108) | node26(s108) | (~until27(s108))))),
% 21.94/22.30 inference(monotonicity,[status(thm)],[18878])).
% 21.94/22.30 tff(18880,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18879, 18877])).
% 21.94/22.30 tff(18881,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18882,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 21.94/22.30 tff(18883,plain,
% 21.94/22.30 (xuntil28(s108) | (~until27(s108))),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18882, 17403, 18876])).
% 21.94/22.30 tff(18884,plain,
% 21.94/22.30 (xuntil28(s108)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18883, 18872])).
% 21.94/22.30 tff(18885,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18886,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18887,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18886, 18885])).
% 21.94/22.30 tff(18888,plain,
% 21.94/22.30 ((~xuntil28(s108)) | until27(s109)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18887, 9032, 17421])).
% 21.94/22.30 tff(18889,plain,
% 21.94/22.30 (until27(s109)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18888, 18884])).
% 21.94/22.30 tff(18890,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s109) | node26(s109) | (~until27(s109)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18891,plain,
% 21.94/22.30 ((node26(s109) | (~until27(s109)) | xuntil28(s109)) <=> (xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18892,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s109) | node26(s109) | (~until27(s109))))),
% 21.94/22.30 inference(monotonicity,[status(thm)],[18891])).
% 21.94/22.30 tff(18893,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18892, 18890])).
% 21.94/22.30 tff(18894,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18895,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18894, 18893])).
% 21.94/22.30 tff(18896,plain,
% 21.94/22.30 (xuntil28(s109)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18895, 17403, 18889, 16609])).
% 21.94/22.30 tff(18897,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18898,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18899,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18898, 18897])).
% 21.94/22.30 tff(18900,plain,
% 21.94/22.30 ((~xuntil28(s109)) | until27(s110)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18899, 9127, 17421])).
% 21.94/22.30 tff(18901,plain,
% 21.94/22.30 (until27(s110)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18900, 18896])).
% 21.94/22.30 tff(18902,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s110) | node26(s110) | (~until27(s110)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18903,plain,
% 21.94/22.30 ((node26(s110) | (~until27(s110)) | xuntil28(s110)) <=> (xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18904,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s110) | node26(s110) | (~until27(s110))))),
% 21.94/22.30 inference(monotonicity,[status(thm)],[18903])).
% 21.94/22.30 tff(18905,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18904, 18902])).
% 21.94/22.30 tff(18906,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18907,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 21.94/22.30 tff(18908,plain,
% 21.94/22.30 (xuntil28(s110) | node26(s110)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18907, 17403, 18901])).
% 21.94/22.30 tff(18909,plain,
% 21.94/22.30 (xuntil28(s110)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18908, 16605])).
% 21.94/22.30 tff(18910,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18911,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18912,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 21.94/22.30 tff(18913,plain,
% 21.94/22.30 ((~xuntil28(s110)) | until27(s111)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18912, 9191, 17421])).
% 21.94/22.30 tff(18914,plain,
% 21.94/22.30 (until27(s111)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18913, 18909])).
% 21.94/22.30 tff(18915,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s111) | node26(s111) | (~until27(s111)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18916,plain,
% 21.94/22.30 ((node26(s111) | (~until27(s111)) | xuntil28(s111)) <=> (xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18917,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s111) | node26(s111) | (~until27(s111))))),
% 21.94/22.30 inference(monotonicity,[status(thm)],[18916])).
% 21.94/22.30 tff(18918,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18917, 18915])).
% 21.94/22.30 tff(18919,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18920,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 21.94/22.30 tff(18921,plain,
% 21.94/22.30 (xuntil28(s111)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18920, 17403, 18914, 16596])).
% 21.94/22.30 tff(18922,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18923,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18924,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 21.94/22.30 tff(18925,plain,
% 21.94/22.30 ((~xuntil28(s111)) | until27(s112)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18924, 9266, 17421])).
% 21.94/22.30 tff(18926,plain,
% 21.94/22.30 (until27(s112)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18925, 18921])).
% 21.94/22.30 tff(18927,plain,
% 21.94/22.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18928,plain,
% 21.94/22.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18929,plain,
% 21.94/22.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18928, 18927])).
% 21.94/22.30 tff(18930,plain,
% 21.94/22.30 (~node26(s112)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18929, 6122, 16587])).
% 21.94/22.30 tff(18931,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s112) | node26(s112) | (~until27(s112)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18932,plain,
% 21.94/22.30 ((node26(s112) | (~until27(s112)) | xuntil28(s112)) <=> (xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18933,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s112) | node26(s112) | (~until27(s112))))),
% 21.94/22.30 inference(monotonicity,[status(thm)],[18932])).
% 21.94/22.30 tff(18934,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 21.94/22.30 inference(transitivity,[status(thm)],[18933, 18931])).
% 21.94/22.30 tff(18935,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18936,plain,
% 21.94/22.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112))),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 21.94/22.30 tff(18937,plain,
% 21.94/22.30 (xuntil28(s112) | (~until27(s112))),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18936, 17403, 18930])).
% 21.94/22.30 tff(18938,plain,
% 21.94/22.30 (xuntil28(s112)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18937, 18926])).
% 21.94/22.30 tff(18939,plain,
% 21.94/22.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18940,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))),
% 21.94/22.30 inference(quant_inst,[status(thm)],[])).
% 21.94/22.30 tff(18941,plain,
% 21.94/22.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113)),
% 21.94/22.30 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 21.94/22.30 tff(18942,plain,
% 21.94/22.30 ((~xuntil28(s112)) | until27(s113)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18941, 9355, 17421])).
% 21.94/22.30 tff(18943,plain,
% 21.94/22.30 (until27(s113)),
% 21.94/22.30 inference(unit_resolution,[status(thm)],[18942, 18938])).
% 21.94/22.30 tff(18944,plain,
% 21.94/22.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s113) | node26(s113) | (~until27(s113)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 21.94/22.30 inference(rewrite,[status(thm)],[])).
% 21.94/22.30 tff(18945,plain,
% 21.94/22.30 ((node26(s113) | (~until27(s113)) | xuntil28(s113)) <=> (xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18946,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s113) | node26(s113) | (~until27(s113))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[18945])).
% 21.94/22.31 tff(18947,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[18946, 18944])).
% 21.94/22.31 tff(18948,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18949,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18948, 18947])).
% 21.94/22.31 tff(18950,plain,
% 21.94/22.31 (xuntil28(s113)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18949, 17403, 18943, 16580])).
% 21.94/22.31 tff(18951,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18952,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18953,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18952, 18951])).
% 21.94/22.31 tff(18954,plain,
% 21.94/22.31 ((~xuntil28(s113)) | until27(s114)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18953, 9422, 17421])).
% 21.94/22.31 tff(18955,plain,
% 21.94/22.31 (until27(s114)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18954, 18950])).
% 21.94/22.31 tff(18956,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s114) | node26(s114) | (~until27(s114)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18957,plain,
% 21.94/22.31 ((node26(s114) | (~until27(s114)) | xuntil28(s114)) <=> (xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18958,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s114) | node26(s114) | (~until27(s114))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[18957])).
% 21.94/22.31 tff(18959,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[18958, 18956])).
% 21.94/22.31 tff(18960,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18961,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 21.94/22.31 tff(18962,plain,
% 21.94/22.31 (xuntil28(s114) | node26(s114)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18961, 17403, 18955])).
% 21.94/22.31 tff(18963,plain,
% 21.94/22.31 (xuntil28(s114)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18962, 16576])).
% 21.94/22.31 tff(18964,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18965,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18966,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18965, 18964])).
% 21.94/22.31 tff(18967,plain,
% 21.94/22.31 ((~xuntil28(s114)) | until27(s115)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18966, 9521, 17421])).
% 21.94/22.31 tff(18968,plain,
% 21.94/22.31 (until27(s115)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18967, 18963])).
% 21.94/22.31 tff(18969,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s115) | node26(s115) | (~until27(s115)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18970,plain,
% 21.94/22.31 ((node26(s115) | (~until27(s115)) | xuntil28(s115)) <=> (xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18971,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s115) | node26(s115) | (~until27(s115))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[18970])).
% 21.94/22.31 tff(18972,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[18971, 18969])).
% 21.94/22.31 tff(18973,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18974,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18973, 18972])).
% 21.94/22.31 tff(18975,plain,
% 21.94/22.31 (xuntil28(s115)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18974, 17403, 18968, 16567])).
% 21.94/22.31 tff(18976,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18977,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18978,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 21.94/22.31 tff(18979,plain,
% 21.94/22.31 ((~xuntil28(s115)) | until27(s116)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18978, 9599, 17421])).
% 21.94/22.31 tff(18980,plain,
% 21.94/22.31 (until27(s116)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18979, 18975])).
% 21.94/22.31 tff(18981,plain,
% 21.94/22.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18982,plain,
% 21.94/22.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18983,plain,
% 21.94/22.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18982, 18981])).
% 21.94/22.31 tff(18984,plain,
% 21.94/22.31 (~node26(s116)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18983, 6122, 16558])).
% 21.94/22.31 tff(18985,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s116) | node26(s116) | (~until27(s116)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18986,plain,
% 21.94/22.31 ((node26(s116) | (~until27(s116)) | xuntil28(s116)) <=> (xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18987,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s116) | node26(s116) | (~until27(s116))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[18986])).
% 21.94/22.31 tff(18988,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[18987, 18985])).
% 21.94/22.31 tff(18989,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18990,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 21.94/22.31 tff(18991,plain,
% 21.94/22.31 (xuntil28(s116) | (~until27(s116))),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18990, 17403, 18984])).
% 21.94/22.31 tff(18992,plain,
% 21.94/22.31 (xuntil28(s116)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18991, 18980])).
% 21.94/22.31 tff(18993,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18994,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(18995,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[18994, 18993])).
% 21.94/22.31 tff(18996,plain,
% 21.94/22.31 ((~xuntil28(s116)) | until27(s117)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18995, 9660, 17421])).
% 21.94/22.31 tff(18997,plain,
% 21.94/22.31 (until27(s117)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[18996, 18992])).
% 21.94/22.31 tff(18998,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s117) | node26(s117) | (~until27(s117)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(18999,plain,
% 21.94/22.31 ((node26(s117) | (~until27(s117)) | xuntil28(s117)) <=> (xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19000,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s117) | node26(s117) | (~until27(s117))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[18999])).
% 21.94/22.31 tff(19001,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[19000, 18998])).
% 21.94/22.31 tff(19002,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(19003,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[19002, 19001])).
% 21.94/22.31 tff(19004,plain,
% 21.94/22.31 (xuntil28(s117)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19003, 17403, 18997, 16551])).
% 21.94/22.31 tff(19005,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19006,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(19007,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[19006, 19005])).
% 21.94/22.31 tff(19008,plain,
% 21.94/22.31 ((~xuntil28(s117)) | until27(s118)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19007, 9755, 17421])).
% 21.94/22.31 tff(19009,plain,
% 21.94/22.31 (until27(s118)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19008, 19004])).
% 21.94/22.31 tff(19010,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s118) | node26(s118) | (~until27(s118)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19011,plain,
% 21.94/22.31 ((node26(s118) | (~until27(s118)) | xuntil28(s118)) <=> (xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19012,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s118) | node26(s118) | (~until27(s118))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[19011])).
% 21.94/22.31 tff(19013,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 21.94/22.31 inference(transitivity,[status(thm)],[19012, 19010])).
% 21.94/22.31 tff(19014,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(19015,plain,
% 21.94/22.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118))),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[19014, 19013])).
% 21.94/22.31 tff(19016,plain,
% 21.94/22.31 (xuntil28(s118) | node26(s118)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19015, 17403, 19009])).
% 21.94/22.31 tff(19017,plain,
% 21.94/22.31 (xuntil28(s118)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19016, 16547])).
% 21.94/22.31 tff(19018,plain,
% 21.94/22.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19019,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))),
% 21.94/22.31 inference(quant_inst,[status(thm)],[])).
% 21.94/22.31 tff(19020,plain,
% 21.94/22.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119)),
% 21.94/22.31 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 21.94/22.31 tff(19021,plain,
% 21.94/22.31 ((~xuntil28(s118)) | until27(s119)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19020, 9819, 17421])).
% 21.94/22.31 tff(19022,plain,
% 21.94/22.31 (until27(s119)),
% 21.94/22.31 inference(unit_resolution,[status(thm)],[19021, 19017])).
% 21.94/22.31 tff(19023,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s119) | node26(s119) | (~until27(s119)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19024,plain,
% 21.94/22.31 ((node26(s119) | (~until27(s119)) | xuntil28(s119)) <=> (xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 21.94/22.31 inference(rewrite,[status(thm)],[])).
% 21.94/22.31 tff(19025,plain,
% 21.94/22.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s119) | node26(s119) | (~until27(s119))))),
% 21.94/22.31 inference(monotonicity,[status(thm)],[19024])).
% 21.94/22.32 tff(19026,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19025, 19023])).
% 21.94/22.32 tff(19027,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19028,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 21.94/22.32 tff(19029,plain,
% 21.94/22.32 (xuntil28(s119)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19028, 17403, 19022, 16538])).
% 21.94/22.32 tff(19030,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19031,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19032,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120)),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 21.94/22.32 tff(19033,plain,
% 21.94/22.32 ((~xuntil28(s119)) | until27(s120)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19032, 9894, 17421])).
% 21.94/22.32 tff(19034,plain,
% 21.94/22.32 (until27(s120)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19033, 19029])).
% 21.94/22.32 tff(19035,plain,
% 21.94/22.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19036,plain,
% 21.94/22.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19037,plain,
% 21.94/22.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 21.94/22.32 tff(19038,plain,
% 21.94/22.32 (~node26(s120)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19037, 6122, 16529])).
% 21.94/22.32 tff(19039,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s120) | node26(s120) | (~until27(s120)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19040,plain,
% 21.94/22.32 ((node26(s120) | (~until27(s120)) | xuntil28(s120)) <=> (xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19041,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s120) | node26(s120) | (~until27(s120))))),
% 21.94/22.32 inference(monotonicity,[status(thm)],[19040])).
% 21.94/22.32 tff(19042,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19041, 19039])).
% 21.94/22.32 tff(19043,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19044,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 21.94/22.32 tff(19045,plain,
% 21.94/22.32 (xuntil28(s120) | (~until27(s120))),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19044, 17403, 19038])).
% 21.94/22.32 tff(19046,plain,
% 21.94/22.32 (xuntil28(s120)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19045, 19034])).
% 21.94/22.32 tff(19047,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19048,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19049,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121)),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19048, 19047])).
% 21.94/22.32 tff(19050,plain,
% 21.94/22.32 ((~xuntil28(s120)) | until27(s121)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19049, 9983, 17421])).
% 21.94/22.32 tff(19051,plain,
% 21.94/22.32 (until27(s121)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19050, 19046])).
% 21.94/22.32 tff(19052,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s121) | node26(s121) | (~until27(s121)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19053,plain,
% 21.94/22.32 ((node26(s121) | (~until27(s121)) | xuntil28(s121)) <=> (xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19054,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s121) | node26(s121) | (~until27(s121))))),
% 21.94/22.32 inference(monotonicity,[status(thm)],[19053])).
% 21.94/22.32 tff(19055,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19054, 19052])).
% 21.94/22.32 tff(19056,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19057,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19056, 19055])).
% 21.94/22.32 tff(19058,plain,
% 21.94/22.32 (xuntil28(s121)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19057, 17403, 19051, 16522])).
% 21.94/22.32 tff(19059,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19060,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19061,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122)),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19060, 19059])).
% 21.94/22.32 tff(19062,plain,
% 21.94/22.32 ((~xuntil28(s121)) | until27(s122)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19061, 10050, 17421])).
% 21.94/22.32 tff(19063,plain,
% 21.94/22.32 (until27(s122)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19062, 19058])).
% 21.94/22.32 tff(19064,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s122) | node26(s122) | (~until27(s122)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19065,plain,
% 21.94/22.32 ((node26(s122) | (~until27(s122)) | xuntil28(s122)) <=> (xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19066,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s122) | node26(s122) | (~until27(s122))))),
% 21.94/22.32 inference(monotonicity,[status(thm)],[19065])).
% 21.94/22.32 tff(19067,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19066, 19064])).
% 21.94/22.32 tff(19068,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19069,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 21.94/22.32 tff(19070,plain,
% 21.94/22.32 (xuntil28(s122) | node26(s122)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19069, 17403, 19063])).
% 21.94/22.32 tff(19071,plain,
% 21.94/22.32 (xuntil28(s122)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19070, 16518])).
% 21.94/22.32 tff(19072,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19073,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19074,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123)),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19073, 19072])).
% 21.94/22.32 tff(19075,plain,
% 21.94/22.32 ((~xuntil28(s122)) | until27(s123)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19074, 10149, 17421])).
% 21.94/22.32 tff(19076,plain,
% 21.94/22.32 (until27(s123)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19075, 19071])).
% 21.94/22.32 tff(19077,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s123) | node26(s123) | (~until27(s123)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19078,plain,
% 21.94/22.32 ((node26(s123) | (~until27(s123)) | xuntil28(s123)) <=> (xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19079,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s123) | node26(s123) | (~until27(s123))))),
% 21.94/22.32 inference(monotonicity,[status(thm)],[19078])).
% 21.94/22.32 tff(19080,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19079, 19077])).
% 21.94/22.32 tff(19081,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19082,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 21.94/22.32 tff(19083,plain,
% 21.94/22.32 (xuntil28(s123)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19082, 17403, 19076, 16509])).
% 21.94/22.32 tff(19084,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19085,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19086,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124)),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19085, 19084])).
% 21.94/22.32 tff(19087,plain,
% 21.94/22.32 ((~xuntil28(s123)) | until27(s124)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19086, 10227, 17421])).
% 21.94/22.32 tff(19088,plain,
% 21.94/22.32 (until27(s124)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19087, 19083])).
% 21.94/22.32 tff(19089,plain,
% 21.94/22.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19090,plain,
% 21.94/22.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19091,plain,
% 21.94/22.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19090, 19089])).
% 21.94/22.32 tff(19092,plain,
% 21.94/22.32 (~node26(s124)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19091, 6122, 16500])).
% 21.94/22.32 tff(19093,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s124) | node26(s124) | (~until27(s124)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19094,plain,
% 21.94/22.32 ((node26(s124) | (~until27(s124)) | xuntil28(s124)) <=> (xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19095,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s124) | node26(s124) | (~until27(s124))))),
% 21.94/22.32 inference(monotonicity,[status(thm)],[19094])).
% 21.94/22.32 tff(19096,plain,
% 21.94/22.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 21.94/22.32 inference(transitivity,[status(thm)],[19095, 19093])).
% 21.94/22.32 tff(19097,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))),
% 21.94/22.32 inference(quant_inst,[status(thm)],[])).
% 21.94/22.32 tff(19098,plain,
% 21.94/22.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124))),
% 21.94/22.32 inference(modus_ponens,[status(thm)],[19097, 19096])).
% 21.94/22.32 tff(19099,plain,
% 21.94/22.32 (xuntil28(s124) | (~until27(s124))),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19098, 17403, 19092])).
% 21.94/22.32 tff(19100,plain,
% 21.94/22.32 (xuntil28(s124)),
% 21.94/22.32 inference(unit_resolution,[status(thm)],[19099, 19088])).
% 21.94/22.32 tff(19101,plain,
% 21.94/22.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))),
% 21.94/22.32 inference(rewrite,[status(thm)],[])).
% 21.94/22.32 tff(19102,plain,
% 21.94/22.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19103,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125)),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19102, 19101])).
% 21.94/22.33 tff(19104,plain,
% 21.94/22.33 ((~xuntil28(s124)) | until27(s125)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19103, 10288, 17421])).
% 21.94/22.33 tff(19105,plain,
% 21.94/22.33 (until27(s125)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19104, 19100])).
% 21.94/22.33 tff(19106,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s125) | node26(s125) | (~until27(s125)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19107,plain,
% 21.94/22.33 ((node26(s125) | (~until27(s125)) | xuntil28(s125)) <=> (xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19108,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s125) | node26(s125) | (~until27(s125))))),
% 21.94/22.33 inference(monotonicity,[status(thm)],[19107])).
% 21.94/22.33 tff(19109,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 21.94/22.33 inference(transitivity,[status(thm)],[19108, 19106])).
% 21.94/22.33 tff(19110,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19111,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19110, 19109])).
% 21.94/22.33 tff(19112,plain,
% 21.94/22.33 (xuntil28(s125)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19111, 17403, 19105, 16493])).
% 21.94/22.33 tff(19113,plain,
% 21.94/22.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19114,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19115,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126)),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19114, 19113])).
% 21.94/22.33 tff(19116,plain,
% 21.94/22.33 ((~xuntil28(s125)) | until27(s126)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19115, 10383, 17421])).
% 21.94/22.33 tff(19117,plain,
% 21.94/22.33 (until27(s126)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19116, 19112])).
% 21.94/22.33 tff(19118,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s126) | node26(s126) | (~until27(s126)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19119,plain,
% 21.94/22.33 ((node26(s126) | (~until27(s126)) | xuntil28(s126)) <=> (xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19120,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s126) | node26(s126) | (~until27(s126))))),
% 21.94/22.33 inference(monotonicity,[status(thm)],[19119])).
% 21.94/22.33 tff(19121,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 21.94/22.33 inference(transitivity,[status(thm)],[19120, 19118])).
% 21.94/22.33 tff(19122,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19123,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19122, 19121])).
% 21.94/22.33 tff(19124,plain,
% 21.94/22.33 (xuntil28(s126) | node26(s126)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19123, 17403, 19117])).
% 21.94/22.33 tff(19125,plain,
% 21.94/22.33 (xuntil28(s126)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19124, 16489])).
% 21.94/22.33 tff(19126,plain,
% 21.94/22.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19127,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19128,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127)),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19127, 19126])).
% 21.94/22.33 tff(19129,plain,
% 21.94/22.33 ((~xuntil28(s126)) | until27(s127)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19128, 10447, 17421])).
% 21.94/22.33 tff(19130,plain,
% 21.94/22.33 (until27(s127)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19129, 19125])).
% 21.94/22.33 tff(19131,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s127) | node26(s127) | (~until27(s127)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19132,plain,
% 21.94/22.33 ((node26(s127) | (~until27(s127)) | xuntil28(s127)) <=> (xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19133,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s127) | node26(s127) | (~until27(s127))))),
% 21.94/22.33 inference(monotonicity,[status(thm)],[19132])).
% 21.94/22.33 tff(19134,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 21.94/22.33 inference(transitivity,[status(thm)],[19133, 19131])).
% 21.94/22.33 tff(19135,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19136,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19135, 19134])).
% 21.94/22.33 tff(19137,plain,
% 21.94/22.33 (xuntil28(s127)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19136, 17403, 19130, 16480])).
% 21.94/22.33 tff(19138,plain,
% 21.94/22.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19139,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19140,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128)),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19139, 19138])).
% 21.94/22.33 tff(19141,plain,
% 21.94/22.33 ((~xuntil28(s127)) | until27(s128)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19140, 10522, 17421])).
% 21.94/22.33 tff(19142,plain,
% 21.94/22.33 (until27(s128)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19141, 19137])).
% 21.94/22.33 tff(19143,plain,
% 21.94/22.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19144,plain,
% 21.94/22.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19145,plain,
% 21.94/22.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 21.94/22.33 tff(19146,plain,
% 21.94/22.33 (~node26(s128)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19145, 6122, 16471])).
% 21.94/22.33 tff(19147,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s128) | node26(s128) | (~until27(s128)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19148,plain,
% 21.94/22.33 ((node26(s128) | (~until27(s128)) | xuntil28(s128)) <=> (xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19149,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s128) | node26(s128) | (~until27(s128))))),
% 21.94/22.33 inference(monotonicity,[status(thm)],[19148])).
% 21.94/22.33 tff(19150,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 21.94/22.33 inference(transitivity,[status(thm)],[19149, 19147])).
% 21.94/22.33 tff(19151,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19152,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 21.94/22.33 tff(19153,plain,
% 21.94/22.33 (xuntil28(s128) | (~until27(s128))),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19152, 17403, 19146])).
% 21.94/22.33 tff(19154,plain,
% 21.94/22.33 (xuntil28(s128)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19153, 19142])).
% 21.94/22.33 tff(19155,plain,
% 21.94/22.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19156,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19157,plain,
% 21.94/22.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129)),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19156, 19155])).
% 21.94/22.33 tff(19158,plain,
% 21.94/22.33 ((~xuntil28(s128)) | until27(s129)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19157, 10611, 17421])).
% 21.94/22.33 tff(19159,plain,
% 21.94/22.33 (until27(s129)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19158, 19154])).
% 21.94/22.33 tff(19160,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s129) | node26(s129) | (~until27(s129)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19161,plain,
% 21.94/22.33 ((node26(s129) | (~until27(s129)) | xuntil28(s129)) <=> (xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 21.94/22.33 inference(rewrite,[status(thm)],[])).
% 21.94/22.33 tff(19162,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s129) | node26(s129) | (~until27(s129))))),
% 21.94/22.33 inference(monotonicity,[status(thm)],[19161])).
% 21.94/22.33 tff(19163,plain,
% 21.94/22.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 21.94/22.33 inference(transitivity,[status(thm)],[19162, 19160])).
% 21.94/22.33 tff(19164,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))),
% 21.94/22.33 inference(quant_inst,[status(thm)],[])).
% 21.94/22.33 tff(19165,plain,
% 21.94/22.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129))),
% 21.94/22.33 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 21.94/22.33 tff(19166,plain,
% 21.94/22.33 (xuntil28(s129)),
% 21.94/22.33 inference(unit_resolution,[status(thm)],[19165, 17403, 19159, 16464])).
% 21.94/22.33 tff(19167,plain,
% 21.94/22.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19168,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19169,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19168, 19167])).
% 21.94/22.34 tff(19170,plain,
% 21.94/22.34 ((~xuntil28(s129)) | until27(s130)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19169, 10678, 17421])).
% 21.94/22.34 tff(19171,plain,
% 21.94/22.34 (until27(s130)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19170, 19166])).
% 21.94/22.34 tff(19172,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s130) | node26(s130) | (~until27(s130)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19173,plain,
% 21.94/22.34 ((node26(s130) | (~until27(s130)) | xuntil28(s130)) <=> (xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19174,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s130) | node26(s130) | (~until27(s130))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19173])).
% 21.94/22.34 tff(19175,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19174, 19172])).
% 21.94/22.34 tff(19176,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19177,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 21.94/22.34 tff(19178,plain,
% 21.94/22.34 (xuntil28(s130) | node26(s130)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19177, 17403, 19171])).
% 21.94/22.34 tff(19179,plain,
% 21.94/22.34 (xuntil28(s130)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19178, 16460])).
% 21.94/22.34 tff(19180,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19181,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19182,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 21.94/22.34 tff(19183,plain,
% 21.94/22.34 ((~xuntil28(s130)) | until27(s131)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19182, 10777, 17421])).
% 21.94/22.34 tff(19184,plain,
% 21.94/22.34 (until27(s131)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19183, 19179])).
% 21.94/22.34 tff(19185,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s131) | node26(s131) | (~until27(s131)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19186,plain,
% 21.94/22.34 ((node26(s131) | (~until27(s131)) | xuntil28(s131)) <=> (xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19187,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s131) | node26(s131) | (~until27(s131))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19186])).
% 21.94/22.34 tff(19188,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19187, 19185])).
% 21.94/22.34 tff(19189,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19190,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 21.94/22.34 tff(19191,plain,
% 21.94/22.34 (xuntil28(s131)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19190, 17403, 19184, 16451])).
% 21.94/22.34 tff(19192,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19193,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19194,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 21.94/22.34 tff(19195,plain,
% 21.94/22.34 ((~xuntil28(s131)) | until27(s132)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19194, 10855, 17421])).
% 21.94/22.34 tff(19196,plain,
% 21.94/22.34 (until27(s132)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19195, 19191])).
% 21.94/22.34 tff(19197,plain,
% 21.94/22.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19198,plain,
% 21.94/22.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19199,plain,
% 21.94/22.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19198, 19197])).
% 21.94/22.34 tff(19200,plain,
% 21.94/22.34 (~node26(s132)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19199, 6122, 16442])).
% 21.94/22.34 tff(19201,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s132) | node26(s132) | (~until27(s132)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19202,plain,
% 21.94/22.34 ((node26(s132) | (~until27(s132)) | xuntil28(s132)) <=> (xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19203,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s132) | node26(s132) | (~until27(s132))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19202])).
% 21.94/22.34 tff(19204,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19203, 19201])).
% 21.94/22.34 tff(19205,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19206,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19205, 19204])).
% 21.94/22.34 tff(19207,plain,
% 21.94/22.34 (xuntil28(s132) | (~until27(s132))),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19206, 17403, 19200])).
% 21.94/22.34 tff(19208,plain,
% 21.94/22.34 (xuntil28(s132)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19207, 19196])).
% 21.94/22.34 tff(19209,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19210,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19211,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 21.94/22.34 tff(19212,plain,
% 21.94/22.34 ((~xuntil28(s132)) | until27(s133)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19211, 10916, 17421])).
% 21.94/22.34 tff(19213,plain,
% 21.94/22.34 (until27(s133)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19212, 19208])).
% 21.94/22.34 tff(19214,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s133) | node26(s133) | (~until27(s133)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19215,plain,
% 21.94/22.34 ((node26(s133) | (~until27(s133)) | xuntil28(s133)) <=> (xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19216,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s133) | node26(s133) | (~until27(s133))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19215])).
% 21.94/22.34 tff(19217,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19216, 19214])).
% 21.94/22.34 tff(19218,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19219,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 21.94/22.34 tff(19220,plain,
% 21.94/22.34 (xuntil28(s133)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19219, 17403, 19213, 16435])).
% 21.94/22.34 tff(19221,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19222,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19223,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19222, 19221])).
% 21.94/22.34 tff(19224,plain,
% 21.94/22.34 ((~xuntil28(s133)) | until27(s134)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19223, 11011, 17421])).
% 21.94/22.34 tff(19225,plain,
% 21.94/22.34 (until27(s134)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19224, 19220])).
% 21.94/22.34 tff(19226,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s134) | node26(s134) | (~until27(s134)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19227,plain,
% 21.94/22.34 ((node26(s134) | (~until27(s134)) | xuntil28(s134)) <=> (xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19228,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s134) | node26(s134) | (~until27(s134))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19227])).
% 21.94/22.34 tff(19229,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19228, 19226])).
% 21.94/22.34 tff(19230,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19231,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 21.94/22.34 tff(19232,plain,
% 21.94/22.34 (xuntil28(s134) | node26(s134)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19231, 17403, 19225])).
% 21.94/22.34 tff(19233,plain,
% 21.94/22.34 (xuntil28(s134)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19232, 16431])).
% 21.94/22.34 tff(19234,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19235,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19236,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135)),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19235, 19234])).
% 21.94/22.34 tff(19237,plain,
% 21.94/22.34 ((~xuntil28(s134)) | until27(s135)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19236, 11075, 17421])).
% 21.94/22.34 tff(19238,plain,
% 21.94/22.34 (until27(s135)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19237, 19233])).
% 21.94/22.34 tff(19239,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s135) | node26(s135) | (~until27(s135)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19240,plain,
% 21.94/22.34 ((node26(s135) | (~until27(s135)) | xuntil28(s135)) <=> (xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19241,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s135) | node26(s135) | (~until27(s135))))),
% 21.94/22.34 inference(monotonicity,[status(thm)],[19240])).
% 21.94/22.34 tff(19242,plain,
% 21.94/22.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 21.94/22.34 inference(transitivity,[status(thm)],[19241, 19239])).
% 21.94/22.34 tff(19243,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19244,plain,
% 21.94/22.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135))),
% 21.94/22.34 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 21.94/22.34 tff(19245,plain,
% 21.94/22.34 (xuntil28(s135)),
% 21.94/22.34 inference(unit_resolution,[status(thm)],[19244, 17403, 19238, 16422])).
% 21.94/22.34 tff(19246,plain,
% 21.94/22.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))),
% 21.94/22.34 inference(rewrite,[status(thm)],[])).
% 21.94/22.34 tff(19247,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))),
% 21.94/22.34 inference(quant_inst,[status(thm)],[])).
% 21.94/22.34 tff(19248,plain,
% 21.94/22.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 21.94/22.35 tff(19249,plain,
% 21.94/22.35 ((~xuntil28(s135)) | until27(s136)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19248, 11150, 17421])).
% 21.94/22.35 tff(19250,plain,
% 21.94/22.35 (until27(s136)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19249, 19245])).
% 21.94/22.35 tff(19251,plain,
% 21.94/22.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19252,plain,
% 21.94/22.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19253,plain,
% 21.94/22.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19252, 19251])).
% 21.94/22.35 tff(19254,plain,
% 21.94/22.35 (~node26(s136)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19253, 6122, 16413])).
% 21.94/22.35 tff(19255,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s136) | node26(s136) | (~until27(s136)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19256,plain,
% 21.94/22.35 ((node26(s136) | (~until27(s136)) | xuntil28(s136)) <=> (xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19257,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s136) | node26(s136) | (~until27(s136))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19256])).
% 21.94/22.35 tff(19258,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19257, 19255])).
% 21.94/22.35 tff(19259,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19260,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19259, 19258])).
% 21.94/22.35 tff(19261,plain,
% 21.94/22.35 (xuntil28(s136) | (~until27(s136))),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19260, 17403, 19254])).
% 21.94/22.35 tff(19262,plain,
% 21.94/22.35 (xuntil28(s136)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19261, 19250])).
% 21.94/22.35 tff(19263,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19264,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19265,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19264, 19263])).
% 21.94/22.35 tff(19266,plain,
% 21.94/22.35 ((~xuntil28(s136)) | until27(s137)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19265, 11239, 17421])).
% 21.94/22.35 tff(19267,plain,
% 21.94/22.35 (until27(s137)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19266, 19262])).
% 21.94/22.35 tff(19268,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s137) | node26(s137) | (~until27(s137)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19269,plain,
% 21.94/22.35 ((node26(s137) | (~until27(s137)) | xuntil28(s137)) <=> (xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19270,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s137) | node26(s137) | (~until27(s137))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19269])).
% 21.94/22.35 tff(19271,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19270, 19268])).
% 21.94/22.35 tff(19272,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19273,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19272, 19271])).
% 21.94/22.35 tff(19274,plain,
% 21.94/22.35 (xuntil28(s137)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19273, 17403, 19267, 16406])).
% 21.94/22.35 tff(19275,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19276,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19277,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19276, 19275])).
% 21.94/22.35 tff(19278,plain,
% 21.94/22.35 ((~xuntil28(s137)) | until27(s138)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19277, 11306, 17421])).
% 21.94/22.35 tff(19279,plain,
% 21.94/22.35 (until27(s138)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19278, 19274])).
% 21.94/22.35 tff(19280,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s138) | node26(s138) | (~until27(s138)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19281,plain,
% 21.94/22.35 ((node26(s138) | (~until27(s138)) | xuntil28(s138)) <=> (xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19282,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s138) | node26(s138) | (~until27(s138))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19281])).
% 21.94/22.35 tff(19283,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19282, 19280])).
% 21.94/22.35 tff(19284,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19285,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19284, 19283])).
% 21.94/22.35 tff(19286,plain,
% 21.94/22.35 (xuntil28(s138) | node26(s138)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19285, 17403, 19279])).
% 21.94/22.35 tff(19287,plain,
% 21.94/22.35 (xuntil28(s138)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19286, 16402])).
% 21.94/22.35 tff(19288,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19289,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19290,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 21.94/22.35 tff(19291,plain,
% 21.94/22.35 ((~xuntil28(s138)) | until27(s139)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19290, 11405, 17421])).
% 21.94/22.35 tff(19292,plain,
% 21.94/22.35 (until27(s139)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19291, 19287])).
% 21.94/22.35 tff(19293,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s139) | node26(s139) | (~until27(s139)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19294,plain,
% 21.94/22.35 ((node26(s139) | (~until27(s139)) | xuntil28(s139)) <=> (xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19295,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s139) | node26(s139) | (~until27(s139))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19294])).
% 21.94/22.35 tff(19296,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19295, 19293])).
% 21.94/22.35 tff(19297,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19298,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19297, 19296])).
% 21.94/22.35 tff(19299,plain,
% 21.94/22.35 (xuntil28(s139)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19298, 17403, 19292, 16393])).
% 21.94/22.35 tff(19300,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19301,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19302,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 21.94/22.35 tff(19303,plain,
% 21.94/22.35 ((~xuntil28(s139)) | until27(s140)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19302, 11483, 17421])).
% 21.94/22.35 tff(19304,plain,
% 21.94/22.35 (until27(s140)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19303, 19299])).
% 21.94/22.35 tff(19305,plain,
% 21.94/22.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19306,plain,
% 21.94/22.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19307,plain,
% 21.94/22.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 21.94/22.35 tff(19308,plain,
% 21.94/22.35 (~node26(s140)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19307, 6122, 16384])).
% 21.94/22.35 tff(19309,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s140) | node26(s140) | (~until27(s140)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19310,plain,
% 21.94/22.35 ((node26(s140) | (~until27(s140)) | xuntil28(s140)) <=> (xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19311,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s140) | node26(s140) | (~until27(s140))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19310])).
% 21.94/22.35 tff(19312,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19311, 19309])).
% 21.94/22.35 tff(19313,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19314,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 21.94/22.35 tff(19315,plain,
% 21.94/22.35 (xuntil28(s140) | (~until27(s140))),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19314, 17403, 19308])).
% 21.94/22.35 tff(19316,plain,
% 21.94/22.35 (xuntil28(s140)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19315, 19304])).
% 21.94/22.35 tff(19317,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19318,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19319,plain,
% 21.94/22.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141)),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19318, 19317])).
% 21.94/22.35 tff(19320,plain,
% 21.94/22.35 ((~xuntil28(s140)) | until27(s141)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19319, 11544, 17421])).
% 21.94/22.35 tff(19321,plain,
% 21.94/22.35 (until27(s141)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19320, 19316])).
% 21.94/22.35 tff(19322,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s141) | node26(s141) | (~until27(s141)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19323,plain,
% 21.94/22.35 ((node26(s141) | (~until27(s141)) | xuntil28(s141)) <=> (xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.35 tff(19324,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s141) | node26(s141) | (~until27(s141))))),
% 21.94/22.35 inference(monotonicity,[status(thm)],[19323])).
% 21.94/22.35 tff(19325,plain,
% 21.94/22.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 21.94/22.35 inference(transitivity,[status(thm)],[19324, 19322])).
% 21.94/22.35 tff(19326,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))),
% 21.94/22.35 inference(quant_inst,[status(thm)],[])).
% 21.94/22.35 tff(19327,plain,
% 21.94/22.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141))),
% 21.94/22.35 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 21.94/22.35 tff(19328,plain,
% 21.94/22.35 (xuntil28(s141)),
% 21.94/22.35 inference(unit_resolution,[status(thm)],[19327, 17403, 19321, 16377])).
% 21.94/22.35 tff(19329,plain,
% 21.94/22.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))),
% 21.94/22.35 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19330,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19331,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142)),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19330, 19329])).
% 21.94/22.36 tff(19332,plain,
% 21.94/22.36 ((~xuntil28(s141)) | until27(s142)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19331, 11639, 17421])).
% 21.94/22.36 tff(19333,plain,
% 21.94/22.36 (until27(s142)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19332, 19328])).
% 21.94/22.36 tff(19334,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s142) | node26(s142) | (~until27(s142)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19335,plain,
% 21.94/22.36 ((node26(s142) | (~until27(s142)) | xuntil28(s142)) <=> (xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19336,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s142) | node26(s142) | (~until27(s142))))),
% 21.94/22.36 inference(monotonicity,[status(thm)],[19335])).
% 21.94/22.36 tff(19337,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 21.94/22.36 inference(transitivity,[status(thm)],[19336, 19334])).
% 21.94/22.36 tff(19338,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19339,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142))),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 21.94/22.36 tff(19340,plain,
% 21.94/22.36 (xuntil28(s142) | node26(s142)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19339, 17403, 19333])).
% 21.94/22.36 tff(19341,plain,
% 21.94/22.36 (xuntil28(s142)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19340, 16373])).
% 21.94/22.36 tff(19342,plain,
% 21.94/22.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19343,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19344,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143)),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 21.94/22.36 tff(19345,plain,
% 21.94/22.36 ((~xuntil28(s142)) | until27(s143)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19344, 11703, 17421])).
% 21.94/22.36 tff(19346,plain,
% 21.94/22.36 (until27(s143)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19345, 19341])).
% 21.94/22.36 tff(19347,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s143) | node26(s143) | (~until27(s143)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19348,plain,
% 21.94/22.36 ((node26(s143) | (~until27(s143)) | xuntil28(s143)) <=> (xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19349,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s143) | node26(s143) | (~until27(s143))))),
% 21.94/22.36 inference(monotonicity,[status(thm)],[19348])).
% 21.94/22.36 tff(19350,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 21.94/22.36 inference(transitivity,[status(thm)],[19349, 19347])).
% 21.94/22.36 tff(19351,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19352,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143))),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19351, 19350])).
% 21.94/22.36 tff(19353,plain,
% 21.94/22.36 (xuntil28(s143)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19352, 17403, 19346, 16364])).
% 21.94/22.36 tff(19354,plain,
% 21.94/22.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19355,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19356,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144)),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19355, 19354])).
% 21.94/22.36 tff(19357,plain,
% 21.94/22.36 ((~xuntil28(s143)) | until27(s144)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19356, 11778, 17421])).
% 21.94/22.36 tff(19358,plain,
% 21.94/22.36 (until27(s144)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19357, 19353])).
% 21.94/22.36 tff(19359,plain,
% 21.94/22.36 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19360,plain,
% 21.94/22.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19361,plain,
% 21.94/22.36 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144))),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19360, 19359])).
% 21.94/22.36 tff(19362,plain,
% 21.94/22.36 (~node26(s144)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19361, 6122, 16355])).
% 21.94/22.36 tff(19363,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s144) | node26(s144) | (~until27(s144)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19364,plain,
% 21.94/22.36 ((node26(s144) | (~until27(s144)) | xuntil28(s144)) <=> (xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19365,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s144) | node26(s144) | (~until27(s144))))),
% 21.94/22.36 inference(monotonicity,[status(thm)],[19364])).
% 21.94/22.36 tff(19366,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 21.94/22.36 inference(transitivity,[status(thm)],[19365, 19363])).
% 21.94/22.36 tff(19367,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19368,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144))),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19367, 19366])).
% 21.94/22.36 tff(19369,plain,
% 21.94/22.36 (xuntil28(s144) | (~until27(s144))),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19368, 17403, 19362])).
% 21.94/22.36 tff(19370,plain,
% 21.94/22.36 (xuntil28(s144)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19369, 19358])).
% 21.94/22.36 tff(19371,plain,
% 21.94/22.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19372,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19373,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145)),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 21.94/22.36 tff(19374,plain,
% 21.94/22.36 ((~xuntil28(s144)) | until27(s145)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19373, 11867, 17421])).
% 21.94/22.36 tff(19375,plain,
% 21.94/22.36 (until27(s145)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19374, 19370])).
% 21.94/22.36 tff(19376,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s145) | node26(s145) | (~until27(s145)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19377,plain,
% 21.94/22.36 ((node26(s145) | (~until27(s145)) | xuntil28(s145)) <=> (xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19378,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s145) | node26(s145) | (~until27(s145))))),
% 21.94/22.36 inference(monotonicity,[status(thm)],[19377])).
% 21.94/22.36 tff(19379,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 21.94/22.36 inference(transitivity,[status(thm)],[19378, 19376])).
% 21.94/22.36 tff(19380,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19381,plain,
% 21.94/22.36 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145))),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19380, 19379])).
% 21.94/22.36 tff(19382,plain,
% 21.94/22.36 (xuntil28(s145)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19381, 17403, 19375, 16348])).
% 21.94/22.36 tff(19383,plain,
% 21.94/22.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19384,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))),
% 21.94/22.36 inference(quant_inst,[status(thm)],[])).
% 21.94/22.36 tff(19385,plain,
% 21.94/22.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146)),
% 21.94/22.36 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 21.94/22.36 tff(19386,plain,
% 21.94/22.36 ((~xuntil28(s145)) | until27(s146)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19385, 11934, 17421])).
% 21.94/22.36 tff(19387,plain,
% 21.94/22.36 (until27(s146)),
% 21.94/22.36 inference(unit_resolution,[status(thm)],[19386, 19382])).
% 21.94/22.36 tff(19388,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s146) | node26(s146) | (~until27(s146)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19389,plain,
% 21.94/22.36 ((node26(s146) | (~until27(s146)) | xuntil28(s146)) <=> (xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 21.94/22.36 inference(rewrite,[status(thm)],[])).
% 21.94/22.36 tff(19390,plain,
% 21.94/22.36 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s146) | node26(s146) | (~until27(s146))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19389])).
% 21.94/22.37 tff(19391,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19390, 19388])).
% 21.94/22.37 tff(19392,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19393,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 21.94/22.37 tff(19394,plain,
% 21.94/22.37 (xuntil28(s146) | node26(s146)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19393, 17403, 19387])).
% 21.94/22.37 tff(19395,plain,
% 21.94/22.37 (xuntil28(s146)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19394, 16344])).
% 21.94/22.37 tff(19396,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19397,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19398,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19397, 19396])).
% 21.94/22.37 tff(19399,plain,
% 21.94/22.37 ((~xuntil28(s146)) | until27(s147)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19398, 12033, 17421])).
% 21.94/22.37 tff(19400,plain,
% 21.94/22.37 (until27(s147)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19399, 19395])).
% 21.94/22.37 tff(19401,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s147) | node26(s147) | (~until27(s147)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19402,plain,
% 21.94/22.37 ((node26(s147) | (~until27(s147)) | xuntil28(s147)) <=> (xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19403,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s147) | node26(s147) | (~until27(s147))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19402])).
% 21.94/22.37 tff(19404,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19403, 19401])).
% 21.94/22.37 tff(19405,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19406,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 21.94/22.37 tff(19407,plain,
% 21.94/22.37 (xuntil28(s147)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19406, 17403, 19400, 16335])).
% 21.94/22.37 tff(19408,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19409,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19410,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 21.94/22.37 tff(19411,plain,
% 21.94/22.37 ((~xuntil28(s147)) | until27(s148)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19410, 12111, 17421])).
% 21.94/22.37 tff(19412,plain,
% 21.94/22.37 (until27(s148)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19411, 19407])).
% 21.94/22.37 tff(19413,plain,
% 21.94/22.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19414,plain,
% 21.94/22.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19415,plain,
% 21.94/22.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 21.94/22.37 tff(19416,plain,
% 21.94/22.37 (~node26(s148)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19415, 6122, 16326])).
% 21.94/22.37 tff(19417,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s148) | node26(s148) | (~until27(s148)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19418,plain,
% 21.94/22.37 ((node26(s148) | (~until27(s148)) | xuntil28(s148)) <=> (xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19419,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s148) | node26(s148) | (~until27(s148))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19418])).
% 21.94/22.37 tff(19420,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19419, 19417])).
% 21.94/22.37 tff(19421,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19422,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 21.94/22.37 tff(19423,plain,
% 21.94/22.37 (xuntil28(s148) | (~until27(s148))),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19422, 17403, 19416])).
% 21.94/22.37 tff(19424,plain,
% 21.94/22.37 (xuntil28(s148)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19423, 19412])).
% 21.94/22.37 tff(19425,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19426,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19427,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19426, 19425])).
% 21.94/22.37 tff(19428,plain,
% 21.94/22.37 ((~xuntil28(s148)) | until27(s149)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19427, 12172, 17421])).
% 21.94/22.37 tff(19429,plain,
% 21.94/22.37 (until27(s149)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19428, 19424])).
% 21.94/22.37 tff(19430,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s149) | node26(s149) | (~until27(s149)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19431,plain,
% 21.94/22.37 ((node26(s149) | (~until27(s149)) | xuntil28(s149)) <=> (xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19432,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s149) | node26(s149) | (~until27(s149))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19431])).
% 21.94/22.37 tff(19433,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19432, 19430])).
% 21.94/22.37 tff(19434,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19435,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19434, 19433])).
% 21.94/22.37 tff(19436,plain,
% 21.94/22.37 (xuntil28(s149)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19435, 17403, 19429, 16319])).
% 21.94/22.37 tff(19437,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19438,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19439,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 21.94/22.37 tff(19440,plain,
% 21.94/22.37 ((~xuntil28(s149)) | until27(s150)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19439, 12267, 17421])).
% 21.94/22.37 tff(19441,plain,
% 21.94/22.37 (until27(s150)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19440, 19436])).
% 21.94/22.37 tff(19442,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s150) | node26(s150) | (~until27(s150)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19443,plain,
% 21.94/22.37 ((node26(s150) | (~until27(s150)) | xuntil28(s150)) <=> (xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19444,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s150) | node26(s150) | (~until27(s150))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19443])).
% 21.94/22.37 tff(19445,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19444, 19442])).
% 21.94/22.37 tff(19446,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19447,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19446, 19445])).
% 21.94/22.37 tff(19448,plain,
% 21.94/22.37 (xuntil28(s150) | node26(s150)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19447, 17403, 19441])).
% 21.94/22.37 tff(19449,plain,
% 21.94/22.37 (xuntil28(s150)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19448, 16315])).
% 21.94/22.37 tff(19450,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19451,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19452,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19451, 19450])).
% 21.94/22.37 tff(19453,plain,
% 21.94/22.37 ((~xuntil28(s150)) | until27(s151)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19452, 12331, 17421])).
% 21.94/22.37 tff(19454,plain,
% 21.94/22.37 (until27(s151)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19453, 19449])).
% 21.94/22.37 tff(19455,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s151) | node26(s151) | (~until27(s151)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19456,plain,
% 21.94/22.37 ((node26(s151) | (~until27(s151)) | xuntil28(s151)) <=> (xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19457,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s151) | node26(s151) | (~until27(s151))))),
% 21.94/22.37 inference(monotonicity,[status(thm)],[19456])).
% 21.94/22.37 tff(19458,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 21.94/22.37 inference(transitivity,[status(thm)],[19457, 19455])).
% 21.94/22.37 tff(19459,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19460,plain,
% 21.94/22.37 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19459, 19458])).
% 21.94/22.37 tff(19461,plain,
% 21.94/22.37 (xuntil28(s151)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19460, 17403, 19454, 16306])).
% 21.94/22.37 tff(19462,plain,
% 21.94/22.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19463,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19464,plain,
% 21.94/22.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152)),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 21.94/22.37 tff(19465,plain,
% 21.94/22.37 ((~xuntil28(s151)) | until27(s152)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19464, 12406, 17421])).
% 21.94/22.37 tff(19466,plain,
% 21.94/22.37 (until27(s152)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19465, 19461])).
% 21.94/22.37 tff(19467,plain,
% 21.94/22.37 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19468,plain,
% 21.94/22.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))),
% 21.94/22.37 inference(quant_inst,[status(thm)],[])).
% 21.94/22.37 tff(19469,plain,
% 21.94/22.37 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152))),
% 21.94/22.37 inference(modus_ponens,[status(thm)],[19468, 19467])).
% 21.94/22.37 tff(19470,plain,
% 21.94/22.37 (~node26(s152)),
% 21.94/22.37 inference(unit_resolution,[status(thm)],[19469, 6122, 16297])).
% 21.94/22.37 tff(19471,plain,
% 21.94/22.37 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s152) | node26(s152) | (~until27(s152)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 21.94/22.37 inference(rewrite,[status(thm)],[])).
% 21.94/22.37 tff(19472,plain,
% 21.94/22.37 ((node26(s152) | (~until27(s152)) | xuntil28(s152)) <=> (xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19473,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s152) | node26(s152) | (~until27(s152))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19472])).
% 21.94/22.38 tff(19474,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19473, 19471])).
% 21.94/22.38 tff(19475,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19476,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19475, 19474])).
% 21.94/22.38 tff(19477,plain,
% 21.94/22.38 (xuntil28(s152) | (~until27(s152))),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19476, 17403, 19470])).
% 21.94/22.38 tff(19478,plain,
% 21.94/22.38 (xuntil28(s152)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19477, 19466])).
% 21.94/22.38 tff(19479,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19480,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19481,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19480, 19479])).
% 21.94/22.38 tff(19482,plain,
% 21.94/22.38 ((~xuntil28(s152)) | until27(s153)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19481, 12495, 17421])).
% 21.94/22.38 tff(19483,plain,
% 21.94/22.38 (until27(s153)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19482, 19478])).
% 21.94/22.38 tff(19484,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s153) | node26(s153) | (~until27(s153)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19485,plain,
% 21.94/22.38 ((node26(s153) | (~until27(s153)) | xuntil28(s153)) <=> (xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19486,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s153) | node26(s153) | (~until27(s153))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19485])).
% 21.94/22.38 tff(19487,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19486, 19484])).
% 21.94/22.38 tff(19488,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19489,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19488, 19487])).
% 21.94/22.38 tff(19490,plain,
% 21.94/22.38 (xuntil28(s153)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19489, 17403, 19483, 16290])).
% 21.94/22.38 tff(19491,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19492,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19493,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 21.94/22.38 tff(19494,plain,
% 21.94/22.38 ((~xuntil28(s153)) | until27(s154)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19493, 12562, 17421])).
% 21.94/22.38 tff(19495,plain,
% 21.94/22.38 (until27(s154)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19494, 19490])).
% 21.94/22.38 tff(19496,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s154) | node26(s154) | (~until27(s154)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19497,plain,
% 21.94/22.38 ((node26(s154) | (~until27(s154)) | xuntil28(s154)) <=> (xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19498,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s154) | node26(s154) | (~until27(s154))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19497])).
% 21.94/22.38 tff(19499,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19498, 19496])).
% 21.94/22.38 tff(19500,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19501,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19500, 19499])).
% 21.94/22.38 tff(19502,plain,
% 21.94/22.38 (xuntil28(s154) | node26(s154)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19501, 17403, 19495])).
% 21.94/22.38 tff(19503,plain,
% 21.94/22.38 (xuntil28(s154)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19502, 16286])).
% 21.94/22.38 tff(19504,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19505,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19506,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19505, 19504])).
% 21.94/22.38 tff(19507,plain,
% 21.94/22.38 ((~xuntil28(s154)) | until27(s155)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19506, 12661, 17421])).
% 21.94/22.38 tff(19508,plain,
% 21.94/22.38 (until27(s155)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19507, 19503])).
% 21.94/22.38 tff(19509,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s155) | node26(s155) | (~until27(s155)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19510,plain,
% 21.94/22.38 ((node26(s155) | (~until27(s155)) | xuntil28(s155)) <=> (xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19511,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s155) | node26(s155) | (~until27(s155))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19510])).
% 21.94/22.38 tff(19512,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19511, 19509])).
% 21.94/22.38 tff(19513,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19514,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 21.94/22.38 tff(19515,plain,
% 21.94/22.38 (xuntil28(s155)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19514, 17403, 19508, 16277])).
% 21.94/22.38 tff(19516,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19517,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19518,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 21.94/22.38 tff(19519,plain,
% 21.94/22.38 ((~xuntil28(s155)) | until27(s156)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19518, 12739, 17421])).
% 21.94/22.38 tff(19520,plain,
% 21.94/22.38 (until27(s156)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19519, 19515])).
% 21.94/22.38 tff(19521,plain,
% 21.94/22.38 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19522,plain,
% 21.94/22.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19523,plain,
% 21.94/22.38 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 21.94/22.38 tff(19524,plain,
% 21.94/22.38 (~node26(s156)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19523, 6122, 16268])).
% 21.94/22.38 tff(19525,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s156) | node26(s156) | (~until27(s156)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19526,plain,
% 21.94/22.38 ((node26(s156) | (~until27(s156)) | xuntil28(s156)) <=> (xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19527,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s156) | node26(s156) | (~until27(s156))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19526])).
% 21.94/22.38 tff(19528,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19527, 19525])).
% 21.94/22.38 tff(19529,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19530,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 21.94/22.38 tff(19531,plain,
% 21.94/22.38 (xuntil28(s156) | (~until27(s156))),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19530, 17403, 19524])).
% 21.94/22.38 tff(19532,plain,
% 21.94/22.38 (xuntil28(s156)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19531, 19520])).
% 21.94/22.38 tff(19533,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19534,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19535,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19534, 19533])).
% 21.94/22.38 tff(19536,plain,
% 21.94/22.38 ((~xuntil28(s156)) | until27(s157)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19535, 12800, 17421])).
% 21.94/22.38 tff(19537,plain,
% 21.94/22.38 (until27(s157)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19536, 19532])).
% 21.94/22.38 tff(19538,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s157) | node26(s157) | (~until27(s157)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19539,plain,
% 21.94/22.38 ((node26(s157) | (~until27(s157)) | xuntil28(s157)) <=> (xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19540,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s157) | node26(s157) | (~until27(s157))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19539])).
% 21.94/22.38 tff(19541,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 21.94/22.38 inference(transitivity,[status(thm)],[19540, 19538])).
% 21.94/22.38 tff(19542,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19543,plain,
% 21.94/22.38 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157))),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 21.94/22.38 tff(19544,plain,
% 21.94/22.38 (xuntil28(s157)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19543, 17403, 19537, 16261])).
% 21.94/22.38 tff(19545,plain,
% 21.94/22.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19546,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))),
% 21.94/22.38 inference(quant_inst,[status(thm)],[])).
% 21.94/22.38 tff(19547,plain,
% 21.94/22.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158)),
% 21.94/22.38 inference(modus_ponens,[status(thm)],[19546, 19545])).
% 21.94/22.38 tff(19548,plain,
% 21.94/22.38 ((~xuntil28(s157)) | until27(s158)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19547, 12895, 17421])).
% 21.94/22.38 tff(19549,plain,
% 21.94/22.38 (until27(s158)),
% 21.94/22.38 inference(unit_resolution,[status(thm)],[19548, 19544])).
% 21.94/22.38 tff(19550,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s158) | node26(s158) | (~until27(s158)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19551,plain,
% 21.94/22.38 ((node26(s158) | (~until27(s158)) | xuntil28(s158)) <=> (xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 21.94/22.38 inference(rewrite,[status(thm)],[])).
% 21.94/22.38 tff(19552,plain,
% 21.94/22.38 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s158) | node26(s158) | (~until27(s158))))),
% 21.94/22.38 inference(monotonicity,[status(thm)],[19551])).
% 21.94/22.39 tff(19553,plain,
% 21.94/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 21.94/22.39 inference(transitivity,[status(thm)],[19552, 19550])).
% 21.94/22.39 tff(19554,plain,
% 21.94/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))),
% 21.94/22.39 inference(quant_inst,[status(thm)],[])).
% 21.94/22.39 tff(19555,plain,
% 21.94/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158))),
% 21.94/22.39 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 21.94/22.39 tff(19556,plain,
% 21.94/22.39 (xuntil28(s158) | node26(s158)),
% 21.94/22.39 inference(unit_resolution,[status(thm)],[19555, 17403, 19549])).
% 21.94/22.39 tff(19557,plain,
% 21.94/22.39 (xuntil28(s158)),
% 21.94/22.39 inference(unit_resolution,[status(thm)],[19556, 16257])).
% 21.94/22.39 tff(19558,plain,
% 21.94/22.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))),
% 21.94/22.39 inference(rewrite,[status(thm)],[])).
% 21.94/22.39 tff(19559,plain,
% 21.94/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))),
% 21.94/22.39 inference(quant_inst,[status(thm)],[])).
% 21.94/22.39 tff(19560,plain,
% 21.94/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159)),
% 21.94/22.39 inference(modus_ponens,[status(thm)],[19559, 19558])).
% 21.94/22.39 tff(19561,plain,
% 21.94/22.39 ((~xuntil28(s158)) | until27(s159)),
% 21.94/22.39 inference(unit_resolution,[status(thm)],[19560, 12959, 17421])).
% 21.94/22.39 tff(19562,plain,
% 21.94/22.39 (until27(s159)),
% 21.94/22.39 inference(unit_resolution,[status(thm)],[19561, 19557])).
% 21.94/22.39 tff(19563,plain,
% 21.94/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s159) | node26(s159) | (~until27(s159)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 21.94/22.39 inference(rewrite,[status(thm)],[])).
% 21.94/22.39 tff(19564,plain,
% 21.94/22.39 ((node26(s159) | (~until27(s159)) | xuntil28(s159)) <=> (xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 21.94/22.39 inference(rewrite,[status(thm)],[])).
% 21.94/22.39 tff(19565,plain,
% 21.94/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s159) | node26(s159) | (~until27(s159))))),
% 21.94/22.39 inference(monotonicity,[status(thm)],[19564])).
% 21.94/22.39 tff(19566,plain,
% 21.94/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 21.94/22.39 inference(transitivity,[status(thm)],[19565, 19563])).
% 21.94/22.39 tff(19567,plain,
% 21.94/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))),
% 21.94/22.39 inference(quant_inst,[status(thm)],[])).
% 21.94/22.39 tff(19568,plain,
% 21.94/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159))),
% 21.94/22.39 inference(modus_ponens,[status(thm)],[19567, 19566])).
% 21.94/22.39 tff(19569,plain,
% 21.94/22.39 (xuntil28(s159)),
% 21.94/22.39 inference(unit_resolution,[status(thm)],[19568, 17403, 19562, 16248])).
% 21.94/22.39 tff(19570,plain,
% 21.94/22.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))),
% 21.94/22.39 inference(rewrite,[status(thm)],[])).
% 21.94/22.39 tff(19571,plain,
% 21.94/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))),
% 21.94/22.39 inference(quant_inst,[status(thm)],[])).
% 21.94/22.39 tff(19572,plain,
% 21.94/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160)),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19571, 19570])).
% 22.04/22.39 tff(19573,plain,
% 22.04/22.39 ((~xuntil28(s159)) | until27(s160)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19572, 13034, 17421])).
% 22.04/22.39 tff(19574,plain,
% 22.04/22.39 (until27(s160)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19573, 19569])).
% 22.04/22.39 tff(19575,plain,
% 22.04/22.39 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19576,plain,
% 22.04/22.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19577,plain,
% 22.04/22.39 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160))),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19576, 19575])).
% 22.04/22.39 tff(19578,plain,
% 22.04/22.39 (~node26(s160)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19577, 6122, 16239])).
% 22.04/22.39 tff(19579,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s160) | node26(s160) | (~until27(s160)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19580,plain,
% 22.04/22.39 ((node26(s160) | (~until27(s160)) | xuntil28(s160)) <=> (xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19581,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s160) | node26(s160) | (~until27(s160))))),
% 22.04/22.39 inference(monotonicity,[status(thm)],[19580])).
% 22.04/22.39 tff(19582,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 22.04/22.39 inference(transitivity,[status(thm)],[19581, 19579])).
% 22.04/22.39 tff(19583,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19584,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160))),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 22.04/22.39 tff(19585,plain,
% 22.04/22.39 (xuntil28(s160) | (~until27(s160))),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19584, 17403, 19578])).
% 22.04/22.39 tff(19586,plain,
% 22.04/22.39 (xuntil28(s160)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19585, 19574])).
% 22.04/22.39 tff(19587,plain,
% 22.04/22.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19588,plain,
% 22.04/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19589,plain,
% 22.04/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161)),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19588, 19587])).
% 22.04/22.39 tff(19590,plain,
% 22.04/22.39 ((~xuntil28(s160)) | until27(s161)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19589, 13123, 17421])).
% 22.04/22.39 tff(19591,plain,
% 22.04/22.39 (until27(s161)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19590, 19586])).
% 22.04/22.39 tff(19592,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s161) | node26(s161) | (~until27(s161)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19593,plain,
% 22.04/22.39 ((node26(s161) | (~until27(s161)) | xuntil28(s161)) <=> (xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19594,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s161) | node26(s161) | (~until27(s161))))),
% 22.04/22.39 inference(monotonicity,[status(thm)],[19593])).
% 22.04/22.39 tff(19595,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 22.04/22.39 inference(transitivity,[status(thm)],[19594, 19592])).
% 22.04/22.39 tff(19596,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19597,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161))),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19596, 19595])).
% 22.04/22.39 tff(19598,plain,
% 22.04/22.39 (xuntil28(s161)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19597, 17403, 19591, 16232])).
% 22.04/22.39 tff(19599,plain,
% 22.04/22.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19600,plain,
% 22.04/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19601,plain,
% 22.04/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162)),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19600, 19599])).
% 22.04/22.39 tff(19602,plain,
% 22.04/22.39 ((~xuntil28(s161)) | until27(s162)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19601, 13190, 17421])).
% 22.04/22.39 tff(19603,plain,
% 22.04/22.39 (until27(s162)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19602, 19598])).
% 22.04/22.39 tff(19604,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s162) | node26(s162) | (~until27(s162)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19605,plain,
% 22.04/22.39 ((node26(s162) | (~until27(s162)) | xuntil28(s162)) <=> (xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19606,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s162) | node26(s162) | (~until27(s162))))),
% 22.04/22.39 inference(monotonicity,[status(thm)],[19605])).
% 22.04/22.39 tff(19607,plain,
% 22.04/22.39 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 22.04/22.39 inference(transitivity,[status(thm)],[19606, 19604])).
% 22.04/22.39 tff(19608,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))),
% 22.04/22.39 inference(quant_inst,[status(thm)],[])).
% 22.04/22.39 tff(19609,plain,
% 22.04/22.39 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162))),
% 22.04/22.39 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 22.04/22.39 tff(19610,plain,
% 22.04/22.39 (xuntil28(s162) | node26(s162)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19609, 17403, 19603])).
% 22.04/22.39 tff(19611,plain,
% 22.04/22.39 (xuntil28(s162)),
% 22.04/22.39 inference(unit_resolution,[status(thm)],[19610, 16228])).
% 22.04/22.39 tff(19612,plain,
% 22.04/22.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))),
% 22.04/22.39 inference(rewrite,[status(thm)],[])).
% 22.04/22.39 tff(19613,plain,
% 22.04/22.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19614,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19613, 19612])).
% 22.04/22.40 tff(19615,plain,
% 22.04/22.40 ((~xuntil28(s162)) | until27(s163)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19614, 13289, 17421])).
% 22.04/22.40 tff(19616,plain,
% 22.04/22.40 (until27(s163)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19615, 19611])).
% 22.04/22.40 tff(19617,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s163) | node26(s163) | (~until27(s163)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19618,plain,
% 22.04/22.40 ((node26(s163) | (~until27(s163)) | xuntil28(s163)) <=> (xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19619,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s163) | node26(s163) | (~until27(s163))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19618])).
% 22.04/22.40 tff(19620,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19619, 19617])).
% 22.04/22.40 tff(19621,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19622,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 22.04/22.40 tff(19623,plain,
% 22.04/22.40 (xuntil28(s163)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19622, 17403, 19616, 16219])).
% 22.04/22.40 tff(19624,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19625,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19626,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 22.04/22.40 tff(19627,plain,
% 22.04/22.40 ((~xuntil28(s163)) | until27(s164)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19626, 13367, 17421])).
% 22.04/22.40 tff(19628,plain,
% 22.04/22.40 (until27(s164)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19627, 19623])).
% 22.04/22.40 tff(19629,plain,
% 22.04/22.40 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19630,plain,
% 22.04/22.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19631,plain,
% 22.04/22.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19630, 19629])).
% 22.04/22.40 tff(19632,plain,
% 22.04/22.40 (~node26(s164)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19631, 6122, 16210])).
% 22.04/22.40 tff(19633,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s164) | node26(s164) | (~until27(s164)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19634,plain,
% 22.04/22.40 ((node26(s164) | (~until27(s164)) | xuntil28(s164)) <=> (xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19635,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s164) | node26(s164) | (~until27(s164))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19634])).
% 22.04/22.40 tff(19636,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19635, 19633])).
% 22.04/22.40 tff(19637,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19638,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 22.04/22.40 tff(19639,plain,
% 22.04/22.40 (xuntil28(s164) | (~until27(s164))),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19638, 17403, 19632])).
% 22.04/22.40 tff(19640,plain,
% 22.04/22.40 (xuntil28(s164)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19639, 19628])).
% 22.04/22.40 tff(19641,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19642,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19643,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19642, 19641])).
% 22.04/22.40 tff(19644,plain,
% 22.04/22.40 ((~xuntil28(s164)) | until27(s165)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19643, 13428, 17421])).
% 22.04/22.40 tff(19645,plain,
% 22.04/22.40 (until27(s165)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19644, 19640])).
% 22.04/22.40 tff(19646,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s165) | node26(s165) | (~until27(s165)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19647,plain,
% 22.04/22.40 ((node26(s165) | (~until27(s165)) | xuntil28(s165)) <=> (xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19648,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s165) | node26(s165) | (~until27(s165))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19647])).
% 22.04/22.40 tff(19649,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19648, 19646])).
% 22.04/22.40 tff(19650,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19651,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19650, 19649])).
% 22.04/22.40 tff(19652,plain,
% 22.04/22.40 (xuntil28(s165)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19651, 17403, 19645, 16203])).
% 22.04/22.40 tff(19653,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19654,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19655,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 22.04/22.40 tff(19656,plain,
% 22.04/22.40 ((~xuntil28(s165)) | until27(s166)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19655, 13523, 17421])).
% 22.04/22.40 tff(19657,plain,
% 22.04/22.40 (until27(s166)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19656, 19652])).
% 22.04/22.40 tff(19658,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s166) | node26(s166) | (~until27(s166)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19659,plain,
% 22.04/22.40 ((node26(s166) | (~until27(s166)) | xuntil28(s166)) <=> (xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19660,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s166) | node26(s166) | (~until27(s166))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19659])).
% 22.04/22.40 tff(19661,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19660, 19658])).
% 22.04/22.40 tff(19662,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19663,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 22.04/22.40 tff(19664,plain,
% 22.04/22.40 (xuntil28(s166) | node26(s166)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19663, 17403, 19657])).
% 22.04/22.40 tff(19665,plain,
% 22.04/22.40 (xuntil28(s166)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19664, 16199])).
% 22.04/22.40 tff(19666,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19667,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19668,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19667, 19666])).
% 22.04/22.40 tff(19669,plain,
% 22.04/22.40 ((~xuntil28(s166)) | until27(s167)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19668, 13587, 17421])).
% 22.04/22.40 tff(19670,plain,
% 22.04/22.40 (until27(s167)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19669, 19665])).
% 22.04/22.40 tff(19671,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s167) | node26(s167) | (~until27(s167)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19672,plain,
% 22.04/22.40 ((node26(s167) | (~until27(s167)) | xuntil28(s167)) <=> (xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19673,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s167) | node26(s167) | (~until27(s167))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19672])).
% 22.04/22.40 tff(19674,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19673, 19671])).
% 22.04/22.40 tff(19675,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19676,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 22.04/22.40 tff(19677,plain,
% 22.04/22.40 (xuntil28(s167)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19676, 17403, 19670, 16190])).
% 22.04/22.40 tff(19678,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19679,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19680,plain,
% 22.04/22.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168)),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19679, 19678])).
% 22.04/22.40 tff(19681,plain,
% 22.04/22.40 ((~xuntil28(s167)) | until27(s168)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19680, 13662, 17421])).
% 22.04/22.40 tff(19682,plain,
% 22.04/22.40 (until27(s168)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19681, 19677])).
% 22.04/22.40 tff(19683,plain,
% 22.04/22.40 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19684,plain,
% 22.04/22.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19685,plain,
% 22.04/22.40 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 22.04/22.40 tff(19686,plain,
% 22.04/22.40 (~node26(s168)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19685, 6122, 16181])).
% 22.04/22.40 tff(19687,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s168) | node26(s168) | (~until27(s168)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19688,plain,
% 22.04/22.40 ((node26(s168) | (~until27(s168)) | xuntil28(s168)) <=> (xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 22.04/22.40 inference(rewrite,[status(thm)],[])).
% 22.04/22.40 tff(19689,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s168) | node26(s168) | (~until27(s168))))),
% 22.04/22.40 inference(monotonicity,[status(thm)],[19688])).
% 22.04/22.40 tff(19690,plain,
% 22.04/22.40 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 22.04/22.40 inference(transitivity,[status(thm)],[19689, 19687])).
% 22.04/22.40 tff(19691,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))),
% 22.04/22.40 inference(quant_inst,[status(thm)],[])).
% 22.04/22.40 tff(19692,plain,
% 22.04/22.40 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168))),
% 22.04/22.40 inference(modus_ponens,[status(thm)],[19691, 19690])).
% 22.04/22.40 tff(19693,plain,
% 22.04/22.40 (xuntil28(s168) | (~until27(s168))),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19692, 17403, 19686])).
% 22.04/22.40 tff(19694,plain,
% 22.04/22.40 (xuntil28(s168)),
% 22.04/22.40 inference(unit_resolution,[status(thm)],[19693, 19682])).
% 22.04/22.40 tff(19695,plain,
% 22.04/22.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19696,plain,
% 22.04/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))),
% 22.04/22.41 inference(quant_inst,[status(thm)],[])).
% 22.04/22.41 tff(19697,plain,
% 22.04/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169)),
% 22.04/22.41 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 22.04/22.41 tff(19698,plain,
% 22.04/22.41 ((~xuntil28(s168)) | until27(s169)),
% 22.04/22.41 inference(unit_resolution,[status(thm)],[19697, 13751, 17421])).
% 22.04/22.41 tff(19699,plain,
% 22.04/22.41 (until27(s169)),
% 22.04/22.41 inference(unit_resolution,[status(thm)],[19698, 19694])).
% 22.04/22.41 tff(19700,plain,
% 22.04/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s169) | node26(s169) | (~until27(s169)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19701,plain,
% 22.04/22.41 ((node26(s169) | (~until27(s169)) | xuntil28(s169)) <=> (xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19702,plain,
% 22.04/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s169) | node26(s169) | (~until27(s169))))),
% 22.04/22.41 inference(monotonicity,[status(thm)],[19701])).
% 22.04/22.41 tff(19703,plain,
% 22.04/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 22.04/22.41 inference(transitivity,[status(thm)],[19702, 19700])).
% 22.04/22.41 tff(19704,plain,
% 22.04/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))),
% 22.04/22.41 inference(quant_inst,[status(thm)],[])).
% 22.04/22.41 tff(19705,plain,
% 22.04/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169))),
% 22.04/22.41 inference(modus_ponens,[status(thm)],[19704, 19703])).
% 22.04/22.41 tff(19706,plain,
% 22.04/22.41 (xuntil28(s169)),
% 22.04/22.41 inference(unit_resolution,[status(thm)],[19705, 17403, 19699, 16174])).
% 22.04/22.41 tff(19707,plain,
% 22.04/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19708,plain,
% 22.04/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))),
% 22.04/22.41 inference(quant_inst,[status(thm)],[])).
% 22.04/22.41 tff(19709,plain,
% 22.04/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170)),
% 22.04/22.41 inference(modus_ponens,[status(thm)],[19708, 19707])).
% 22.04/22.41 tff(19710,plain,
% 22.04/22.41 ((~xuntil28(s169)) | until27(s170)),
% 22.04/22.41 inference(unit_resolution,[status(thm)],[19709, 13818, 17421])).
% 22.04/22.41 tff(19711,plain,
% 22.04/22.41 (until27(s170)),
% 22.04/22.41 inference(unit_resolution,[status(thm)],[19710, 19706])).
% 22.04/22.41 tff(19712,plain,
% 22.04/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s170) | node26(s170) | (~until27(s170)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19713,plain,
% 22.04/22.41 ((node26(s170) | (~until27(s170)) | xuntil28(s170)) <=> (xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 22.04/22.41 inference(rewrite,[status(thm)],[])).
% 22.04/22.41 tff(19714,plain,
% 22.04/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s170) | node26(s170) | (~until27(s170))))),
% 22.04/22.41 inference(monotonicity,[status(thm)],[19713])).
% 22.06/22.41 tff(19715,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 22.06/22.41 inference(transitivity,[status(thm)],[19714, 19712])).
% 22.06/22.41 tff(19716,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19717,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 22.06/22.41 tff(19718,plain,
% 22.06/22.41 (xuntil28(s170) | node26(s170)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19717, 17403, 19711])).
% 22.06/22.41 tff(19719,plain,
% 22.06/22.41 (xuntil28(s170)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19718, 16170])).
% 22.06/22.41 tff(19720,plain,
% 22.06/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19721,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19722,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171)),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19721, 19720])).
% 22.06/22.41 tff(19723,plain,
% 22.06/22.41 ((~xuntil28(s170)) | until27(s171)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19722, 13917, 17421])).
% 22.06/22.41 tff(19724,plain,
% 22.06/22.41 (until27(s171)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19723, 19719])).
% 22.06/22.41 tff(19725,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s171) | node26(s171) | (~until27(s171)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19726,plain,
% 22.06/22.41 ((node26(s171) | (~until27(s171)) | xuntil28(s171)) <=> (xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19727,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s171) | node26(s171) | (~until27(s171))))),
% 22.06/22.41 inference(monotonicity,[status(thm)],[19726])).
% 22.06/22.41 tff(19728,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 22.06/22.41 inference(transitivity,[status(thm)],[19727, 19725])).
% 22.06/22.41 tff(19729,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19730,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 22.06/22.41 tff(19731,plain,
% 22.06/22.41 (xuntil28(s171)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19730, 17403, 19724, 16161])).
% 22.06/22.41 tff(19732,plain,
% 22.06/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19733,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19734,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172)),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 22.06/22.41 tff(19735,plain,
% 22.06/22.41 ((~xuntil28(s171)) | until27(s172)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19734, 13995, 17421])).
% 22.06/22.41 tff(19736,plain,
% 22.06/22.41 (until27(s172)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19735, 19731])).
% 22.06/22.41 tff(19737,plain,
% 22.06/22.41 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19738,plain,
% 22.06/22.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19739,plain,
% 22.06/22.41 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 22.06/22.41 tff(19740,plain,
% 22.06/22.41 (~node26(s172)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19739, 6122, 16152])).
% 22.06/22.41 tff(19741,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s172) | node26(s172) | (~until27(s172)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19742,plain,
% 22.06/22.41 ((node26(s172) | (~until27(s172)) | xuntil28(s172)) <=> (xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19743,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s172) | node26(s172) | (~until27(s172))))),
% 22.06/22.41 inference(monotonicity,[status(thm)],[19742])).
% 22.06/22.41 tff(19744,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 22.06/22.41 inference(transitivity,[status(thm)],[19743, 19741])).
% 22.06/22.41 tff(19745,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19746,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 22.06/22.41 tff(19747,plain,
% 22.06/22.41 (xuntil28(s172) | (~until27(s172))),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19746, 17403, 19740])).
% 22.06/22.41 tff(19748,plain,
% 22.06/22.41 (xuntil28(s172)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19747, 19736])).
% 22.06/22.41 tff(19749,plain,
% 22.06/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19750,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19751,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173)),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 22.06/22.41 tff(19752,plain,
% 22.06/22.41 ((~xuntil28(s172)) | until27(s173)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19751, 14056, 17421])).
% 22.06/22.41 tff(19753,plain,
% 22.06/22.41 (until27(s173)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19752, 19748])).
% 22.06/22.41 tff(19754,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s173) | node26(s173) | (~until27(s173)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19755,plain,
% 22.06/22.41 ((node26(s173) | (~until27(s173)) | xuntil28(s173)) <=> (xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19756,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s173) | node26(s173) | (~until27(s173))))),
% 22.06/22.41 inference(monotonicity,[status(thm)],[19755])).
% 22.06/22.41 tff(19757,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 22.06/22.41 inference(transitivity,[status(thm)],[19756, 19754])).
% 22.06/22.41 tff(19758,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19759,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19758, 19757])).
% 22.06/22.41 tff(19760,plain,
% 22.06/22.41 (xuntil28(s173)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19759, 17403, 19753, 16145])).
% 22.06/22.41 tff(19761,plain,
% 22.06/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19762,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19763,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174)),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 22.06/22.41 tff(19764,plain,
% 22.06/22.41 ((~xuntil28(s173)) | until27(s174)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19763, 14151, 17421])).
% 22.06/22.41 tff(19765,plain,
% 22.06/22.41 (until27(s174)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19764, 19760])).
% 22.06/22.41 tff(19766,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s174) | node26(s174) | (~until27(s174)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19767,plain,
% 22.06/22.41 ((node26(s174) | (~until27(s174)) | xuntil28(s174)) <=> (xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19768,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s174) | node26(s174) | (~until27(s174))))),
% 22.06/22.41 inference(monotonicity,[status(thm)],[19767])).
% 22.06/22.41 tff(19769,plain,
% 22.06/22.41 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 22.06/22.41 inference(transitivity,[status(thm)],[19768, 19766])).
% 22.06/22.41 tff(19770,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))),
% 22.06/22.41 inference(quant_inst,[status(thm)],[])).
% 22.06/22.41 tff(19771,plain,
% 22.06/22.41 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174))),
% 22.06/22.41 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 22.06/22.41 tff(19772,plain,
% 22.06/22.41 (xuntil28(s174) | node26(s174)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19771, 17403, 19765])).
% 22.06/22.41 tff(19773,plain,
% 22.06/22.41 (xuntil28(s174)),
% 22.06/22.41 inference(unit_resolution,[status(thm)],[19772, 16141])).
% 22.06/22.41 tff(19774,plain,
% 22.06/22.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))),
% 22.06/22.41 inference(rewrite,[status(thm)],[])).
% 22.06/22.41 tff(19775,plain,
% 22.06/22.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19776,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175)),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 22.06/22.42 tff(19777,plain,
% 22.06/22.42 ((~xuntil28(s174)) | until27(s175)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19776, 14215, 17421])).
% 22.06/22.42 tff(19778,plain,
% 22.06/22.42 (until27(s175)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19777, 19773])).
% 22.06/22.42 tff(19779,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s175) | node26(s175) | (~until27(s175)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19780,plain,
% 22.06/22.42 ((node26(s175) | (~until27(s175)) | xuntil28(s175)) <=> (xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19781,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s175) | node26(s175) | (~until27(s175))))),
% 22.06/22.42 inference(monotonicity,[status(thm)],[19780])).
% 22.06/22.42 tff(19782,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 22.06/22.42 inference(transitivity,[status(thm)],[19781, 19779])).
% 22.06/22.42 tff(19783,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19784,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175))),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19783, 19782])).
% 22.06/22.42 tff(19785,plain,
% 22.06/22.42 (xuntil28(s175)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19784, 17403, 19778, 16132])).
% 22.06/22.42 tff(19786,plain,
% 22.06/22.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19787,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19788,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176)),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 22.06/22.42 tff(19789,plain,
% 22.06/22.42 ((~xuntil28(s175)) | until27(s176)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19788, 14290, 17421])).
% 22.06/22.42 tff(19790,plain,
% 22.06/22.42 (until27(s176)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19789, 19785])).
% 22.06/22.42 tff(19791,plain,
% 22.06/22.42 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19792,plain,
% 22.06/22.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19793,plain,
% 22.06/22.42 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176))),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19792, 19791])).
% 22.06/22.42 tff(19794,plain,
% 22.06/22.42 (~node26(s176)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19793, 6122, 16123])).
% 22.06/22.42 tff(19795,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s176) | node26(s176) | (~until27(s176)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19796,plain,
% 22.06/22.42 ((node26(s176) | (~until27(s176)) | xuntil28(s176)) <=> (xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19797,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s176) | node26(s176) | (~until27(s176))))),
% 22.06/22.42 inference(monotonicity,[status(thm)],[19796])).
% 22.06/22.42 tff(19798,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 22.06/22.42 inference(transitivity,[status(thm)],[19797, 19795])).
% 22.06/22.42 tff(19799,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19800,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176))),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19799, 19798])).
% 22.06/22.42 tff(19801,plain,
% 22.06/22.42 (xuntil28(s176) | (~until27(s176))),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19800, 17403, 19794])).
% 22.06/22.42 tff(19802,plain,
% 22.06/22.42 (xuntil28(s176)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19801, 19790])).
% 22.06/22.42 tff(19803,plain,
% 22.06/22.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19804,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19805,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177)),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 22.06/22.42 tff(19806,plain,
% 22.06/22.42 ((~xuntil28(s176)) | until27(s177)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19805, 14379, 17421])).
% 22.06/22.42 tff(19807,plain,
% 22.06/22.42 (until27(s177)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19806, 19802])).
% 22.06/22.42 tff(19808,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s177) | node26(s177) | (~until27(s177)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19809,plain,
% 22.06/22.42 ((node26(s177) | (~until27(s177)) | xuntil28(s177)) <=> (xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19810,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s177) | node26(s177) | (~until27(s177))))),
% 22.06/22.42 inference(monotonicity,[status(thm)],[19809])).
% 22.06/22.42 tff(19811,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 22.06/22.42 inference(transitivity,[status(thm)],[19810, 19808])).
% 22.06/22.42 tff(19812,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19813,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177))),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 22.06/22.42 tff(19814,plain,
% 22.06/22.42 (xuntil28(s177)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19813, 17403, 19807, 16116])).
% 22.06/22.42 tff(19815,plain,
% 22.06/22.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19816,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19817,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178)),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 22.06/22.42 tff(19818,plain,
% 22.06/22.42 ((~xuntil28(s177)) | until27(s178)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19817, 14446, 17421])).
% 22.06/22.42 tff(19819,plain,
% 22.06/22.42 (until27(s178)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19818, 19814])).
% 22.06/22.42 tff(19820,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s178) | node26(s178) | (~until27(s178)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19821,plain,
% 22.06/22.42 ((node26(s178) | (~until27(s178)) | xuntil28(s178)) <=> (xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19822,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s178) | node26(s178) | (~until27(s178))))),
% 22.06/22.42 inference(monotonicity,[status(thm)],[19821])).
% 22.06/22.42 tff(19823,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 22.06/22.42 inference(transitivity,[status(thm)],[19822, 19820])).
% 22.06/22.42 tff(19824,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19825,plain,
% 22.06/22.42 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178))),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 22.06/22.42 tff(19826,plain,
% 22.06/22.42 (xuntil28(s178) | node26(s178)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19825, 17403, 19819])).
% 22.06/22.42 tff(19827,plain,
% 22.06/22.42 (xuntil28(s178)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19826, 16112])).
% 22.06/22.42 tff(19828,plain,
% 22.06/22.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19829,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))),
% 22.06/22.42 inference(quant_inst,[status(thm)],[])).
% 22.06/22.42 tff(19830,plain,
% 22.06/22.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179)),
% 22.06/22.42 inference(modus_ponens,[status(thm)],[19829, 19828])).
% 22.06/22.42 tff(19831,plain,
% 22.06/22.42 ((~xuntil28(s178)) | until27(s179)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19830, 14545, 17421])).
% 22.06/22.42 tff(19832,plain,
% 22.06/22.42 (until27(s179)),
% 22.06/22.42 inference(unit_resolution,[status(thm)],[19831, 19827])).
% 22.06/22.42 tff(19833,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s179) | node26(s179) | (~until27(s179)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19834,plain,
% 22.06/22.42 ((node26(s179) | (~until27(s179)) | xuntil28(s179)) <=> (xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 22.06/22.42 inference(rewrite,[status(thm)],[])).
% 22.06/22.42 tff(19835,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s179) | node26(s179) | (~until27(s179))))),
% 22.06/22.42 inference(monotonicity,[status(thm)],[19834])).
% 22.06/22.42 tff(19836,plain,
% 22.06/22.42 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19835, 19833])).
% 22.06/22.43 tff(19837,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19838,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19837, 19836])).
% 22.06/22.43 tff(19839,plain,
% 22.06/22.43 (xuntil28(s179)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19838, 17403, 19832, 16103])).
% 22.06/22.43 tff(19840,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19841,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19842,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 22.06/22.43 tff(19843,plain,
% 22.06/22.43 ((~xuntil28(s179)) | until27(s180)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19842, 14623, 17421])).
% 22.06/22.43 tff(19844,plain,
% 22.06/22.43 (until27(s180)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19843, 19839])).
% 22.06/22.43 tff(19845,plain,
% 22.06/22.43 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19846,plain,
% 22.06/22.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19847,plain,
% 22.06/22.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 22.06/22.43 tff(19848,plain,
% 22.06/22.43 (~node26(s180)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19847, 6122, 16094])).
% 22.06/22.43 tff(19849,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s180) | node26(s180) | (~until27(s180)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19850,plain,
% 22.06/22.43 ((node26(s180) | (~until27(s180)) | xuntil28(s180)) <=> (xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19851,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s180) | node26(s180) | (~until27(s180))))),
% 22.06/22.43 inference(monotonicity,[status(thm)],[19850])).
% 22.06/22.43 tff(19852,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19851, 19849])).
% 22.06/22.43 tff(19853,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19854,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 22.06/22.43 tff(19855,plain,
% 22.06/22.43 (xuntil28(s180) | (~until27(s180))),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19854, 17403, 19848])).
% 22.06/22.43 tff(19856,plain,
% 22.06/22.43 (xuntil28(s180)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19855, 19844])).
% 22.06/22.43 tff(19857,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19858,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19859,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19858, 19857])).
% 22.06/22.43 tff(19860,plain,
% 22.06/22.43 ((~xuntil28(s180)) | until27(s181)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19859, 14684, 17421])).
% 22.06/22.43 tff(19861,plain,
% 22.06/22.43 (until27(s181)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19860, 19856])).
% 22.06/22.43 tff(19862,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s181) | node26(s181) | (~until27(s181)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19863,plain,
% 22.06/22.43 ((node26(s181) | (~until27(s181)) | xuntil28(s181)) <=> (xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19864,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s181) | node26(s181) | (~until27(s181))))),
% 22.06/22.43 inference(monotonicity,[status(thm)],[19863])).
% 22.06/22.43 tff(19865,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19864, 19862])).
% 22.06/22.43 tff(19866,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19867,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19866, 19865])).
% 22.06/22.43 tff(19868,plain,
% 22.06/22.43 (xuntil28(s181)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19867, 17403, 19861, 16087])).
% 22.06/22.43 tff(19869,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19870,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19871,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19870, 19869])).
% 22.06/22.43 tff(19872,plain,
% 22.06/22.43 ((~xuntil28(s181)) | until27(s182)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19871, 14779, 17421])).
% 22.06/22.43 tff(19873,plain,
% 22.06/22.43 (until27(s182)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19872, 19868])).
% 22.06/22.43 tff(19874,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s182) | node26(s182) | (~until27(s182)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19875,plain,
% 22.06/22.43 ((node26(s182) | (~until27(s182)) | xuntil28(s182)) <=> (xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19876,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s182) | node26(s182) | (~until27(s182))))),
% 22.06/22.43 inference(monotonicity,[status(thm)],[19875])).
% 22.06/22.43 tff(19877,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19876, 19874])).
% 22.06/22.43 tff(19878,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19879,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 22.06/22.43 tff(19880,plain,
% 22.06/22.43 (xuntil28(s182) | node26(s182)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19879, 17403, 19873])).
% 22.06/22.43 tff(19881,plain,
% 22.06/22.43 (xuntil28(s182)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19880, 16083])).
% 22.06/22.43 tff(19882,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19883,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19884,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19883, 19882])).
% 22.06/22.43 tff(19885,plain,
% 22.06/22.43 ((~xuntil28(s182)) | until27(s183)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19884, 14843, 17421])).
% 22.06/22.43 tff(19886,plain,
% 22.06/22.43 (until27(s183)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19885, 19881])).
% 22.06/22.43 tff(19887,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s183) | node26(s183) | (~until27(s183)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19888,plain,
% 22.06/22.43 ((node26(s183) | (~until27(s183)) | xuntil28(s183)) <=> (xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19889,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s183) | node26(s183) | (~until27(s183))))),
% 22.06/22.43 inference(monotonicity,[status(thm)],[19888])).
% 22.06/22.43 tff(19890,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19889, 19887])).
% 22.06/22.43 tff(19891,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19892,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 22.06/22.43 tff(19893,plain,
% 22.06/22.43 (xuntil28(s183)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19892, 17403, 19886, 16074])).
% 22.06/22.43 tff(19894,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19895,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19896,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 22.06/22.43 tff(19897,plain,
% 22.06/22.43 ((~xuntil28(s183)) | until27(s184)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19896, 14918, 17421])).
% 22.06/22.43 tff(19898,plain,
% 22.06/22.43 (until27(s184)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19897, 19893])).
% 22.06/22.43 tff(19899,plain,
% 22.06/22.43 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19900,plain,
% 22.06/22.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19901,plain,
% 22.06/22.43 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19900, 19899])).
% 22.06/22.43 tff(19902,plain,
% 22.06/22.43 (~node26(s184)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19901, 6122, 16065])).
% 22.06/22.43 tff(19903,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s184) | node26(s184) | (~until27(s184)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19904,plain,
% 22.06/22.43 ((node26(s184) | (~until27(s184)) | xuntil28(s184)) <=> (xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19905,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s184) | node26(s184) | (~until27(s184))))),
% 22.06/22.43 inference(monotonicity,[status(thm)],[19904])).
% 22.06/22.43 tff(19906,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 22.06/22.43 inference(transitivity,[status(thm)],[19905, 19903])).
% 22.06/22.43 tff(19907,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19908,plain,
% 22.06/22.43 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184))),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 22.06/22.43 tff(19909,plain,
% 22.06/22.43 (xuntil28(s184) | (~until27(s184))),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19908, 17403, 19902])).
% 22.06/22.43 tff(19910,plain,
% 22.06/22.43 (xuntil28(s184)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19909, 19898])).
% 22.06/22.43 tff(19911,plain,
% 22.06/22.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19912,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))),
% 22.06/22.43 inference(quant_inst,[status(thm)],[])).
% 22.06/22.43 tff(19913,plain,
% 22.06/22.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185)),
% 22.06/22.43 inference(modus_ponens,[status(thm)],[19912, 19911])).
% 22.06/22.43 tff(19914,plain,
% 22.06/22.43 ((~xuntil28(s184)) | until27(s185)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19913, 15007, 17421])).
% 22.06/22.43 tff(19915,plain,
% 22.06/22.43 (until27(s185)),
% 22.06/22.43 inference(unit_resolution,[status(thm)],[19914, 19910])).
% 22.06/22.43 tff(19916,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s185) | node26(s185) | (~until27(s185)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19917,plain,
% 22.06/22.43 ((node26(s185) | (~until27(s185)) | xuntil28(s185)) <=> (xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 22.06/22.43 inference(rewrite,[status(thm)],[])).
% 22.06/22.43 tff(19918,plain,
% 22.06/22.43 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s185) | node26(s185) | (~until27(s185))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19917])).
% 22.08/22.44 tff(19919,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19918, 19916])).
% 22.08/22.44 tff(19920,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19921,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 22.08/22.44 tff(19922,plain,
% 22.08/22.44 (xuntil28(s185)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19921, 17403, 19915, 16058])).
% 22.08/22.44 tff(19923,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19924,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19925,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19924, 19923])).
% 22.08/22.44 tff(19926,plain,
% 22.08/22.44 ((~xuntil28(s185)) | until27(s186)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19925, 15074, 17421])).
% 22.08/22.44 tff(19927,plain,
% 22.08/22.44 (until27(s186)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19926, 19922])).
% 22.08/22.44 tff(19928,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s186) | node26(s186) | (~until27(s186)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19929,plain,
% 22.08/22.44 ((node26(s186) | (~until27(s186)) | xuntil28(s186)) <=> (xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19930,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s186) | node26(s186) | (~until27(s186))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19929])).
% 22.08/22.44 tff(19931,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19930, 19928])).
% 22.08/22.44 tff(19932,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19933,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19932, 19931])).
% 22.08/22.44 tff(19934,plain,
% 22.08/22.44 (xuntil28(s186) | node26(s186)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19933, 17403, 19927])).
% 22.08/22.44 tff(19935,plain,
% 22.08/22.44 (xuntil28(s186)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19934, 16054])).
% 22.08/22.44 tff(19936,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19937,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19938,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19937, 19936])).
% 22.08/22.44 tff(19939,plain,
% 22.08/22.44 ((~xuntil28(s186)) | until27(s187)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19938, 15173, 17421])).
% 22.08/22.44 tff(19940,plain,
% 22.08/22.44 (until27(s187)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19939, 19935])).
% 22.08/22.44 tff(19941,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s187) | node26(s187) | (~until27(s187)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19942,plain,
% 22.08/22.44 ((node26(s187) | (~until27(s187)) | xuntil28(s187)) <=> (xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19943,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s187) | node26(s187) | (~until27(s187))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19942])).
% 22.08/22.44 tff(19944,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19943, 19941])).
% 22.08/22.44 tff(19945,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19946,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19945, 19944])).
% 22.08/22.44 tff(19947,plain,
% 22.08/22.44 (xuntil28(s187)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19946, 17403, 19940, 16045])).
% 22.08/22.44 tff(19948,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19949,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19950,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 22.08/22.44 tff(19951,plain,
% 22.08/22.44 ((~xuntil28(s187)) | until27(s188)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19950, 15251, 17421])).
% 22.08/22.44 tff(19952,plain,
% 22.08/22.44 (until27(s188)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19951, 19947])).
% 22.08/22.44 tff(19953,plain,
% 22.08/22.44 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19954,plain,
% 22.08/22.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19955,plain,
% 22.08/22.44 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 22.08/22.44 tff(19956,plain,
% 22.08/22.44 (~node26(s188)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19955, 6122, 16036])).
% 22.08/22.44 tff(19957,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s188) | node26(s188) | (~until27(s188)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19958,plain,
% 22.08/22.44 ((node26(s188) | (~until27(s188)) | xuntil28(s188)) <=> (xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19959,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s188) | node26(s188) | (~until27(s188))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19958])).
% 22.08/22.44 tff(19960,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19959, 19957])).
% 22.08/22.44 tff(19961,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19962,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 22.08/22.44 tff(19963,plain,
% 22.08/22.44 (xuntil28(s188) | (~until27(s188))),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19962, 17403, 19956])).
% 22.08/22.44 tff(19964,plain,
% 22.08/22.44 (xuntil28(s188)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19963, 19952])).
% 22.08/22.44 tff(19965,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19966,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19967,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 22.08/22.44 tff(19968,plain,
% 22.08/22.44 ((~xuntil28(s188)) | until27(s189)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19967, 15312, 17421])).
% 22.08/22.44 tff(19969,plain,
% 22.08/22.44 (until27(s189)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19968, 19964])).
% 22.08/22.44 tff(19970,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s189) | node26(s189) | (~until27(s189)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19971,plain,
% 22.08/22.44 ((node26(s189) | (~until27(s189)) | xuntil28(s189)) <=> (xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19972,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s189) | node26(s189) | (~until27(s189))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19971])).
% 22.08/22.44 tff(19973,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19972, 19970])).
% 22.08/22.44 tff(19974,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19975,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 22.08/22.44 tff(19976,plain,
% 22.08/22.44 (xuntil28(s189)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19975, 17403, 19969, 16029])).
% 22.08/22.44 tff(19977,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19978,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19979,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 22.08/22.44 tff(19980,plain,
% 22.08/22.44 ((~xuntil28(s189)) | until27(s190)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19979, 15407, 17421])).
% 22.08/22.44 tff(19981,plain,
% 22.08/22.44 (until27(s190)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19980, 19976])).
% 22.08/22.44 tff(19982,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s190) | node26(s190) | (~until27(s190)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19983,plain,
% 22.08/22.44 ((node26(s190) | (~until27(s190)) | xuntil28(s190)) <=> (xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19984,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s190) | node26(s190) | (~until27(s190))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19983])).
% 22.08/22.44 tff(19985,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 22.08/22.44 inference(transitivity,[status(thm)],[19984, 19982])).
% 22.08/22.44 tff(19986,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19987,plain,
% 22.08/22.44 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190))),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19986, 19985])).
% 22.08/22.44 tff(19988,plain,
% 22.08/22.44 (xuntil28(s190) | node26(s190)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19987, 17403, 19981])).
% 22.08/22.44 tff(19989,plain,
% 22.08/22.44 (xuntil28(s190)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19988, 16025])).
% 22.08/22.44 tff(19990,plain,
% 22.08/22.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19991,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))),
% 22.08/22.44 inference(quant_inst,[status(thm)],[])).
% 22.08/22.44 tff(19992,plain,
% 22.08/22.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191)),
% 22.08/22.44 inference(modus_ponens,[status(thm)],[19991, 19990])).
% 22.08/22.44 tff(19993,plain,
% 22.08/22.44 ((~xuntil28(s190)) | until27(s191)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19992, 15471, 17421])).
% 22.08/22.44 tff(19994,plain,
% 22.08/22.44 (until27(s191)),
% 22.08/22.44 inference(unit_resolution,[status(thm)],[19993, 19989])).
% 22.08/22.44 tff(19995,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s191) | node26(s191) | (~until27(s191)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19996,plain,
% 22.08/22.44 ((node26(s191) | (~until27(s191)) | xuntil28(s191)) <=> (xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 22.08/22.44 inference(rewrite,[status(thm)],[])).
% 22.08/22.44 tff(19997,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s191) | node26(s191) | (~until27(s191))))),
% 22.08/22.44 inference(monotonicity,[status(thm)],[19996])).
% 22.08/22.44 tff(19998,plain,
% 22.08/22.44 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 22.08/22.45 inference(transitivity,[status(thm)],[19997, 19995])).
% 22.08/22.45 tff(19999,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20000,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 22.08/22.45 tff(20001,plain,
% 22.08/22.45 (xuntil28(s191)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20000, 17403, 19994, 16016])).
% 22.08/22.45 tff(20002,plain,
% 22.08/22.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20003,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20004,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192)),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 22.08/22.45 tff(20005,plain,
% 22.08/22.45 ((~xuntil28(s191)) | until27(s192)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20004, 15546, 17421])).
% 22.08/22.45 tff(20006,plain,
% 22.08/22.45 (until27(s192)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20005, 20001])).
% 22.08/22.45 tff(20007,plain,
% 22.08/22.45 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20008,plain,
% 22.08/22.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20009,plain,
% 22.08/22.45 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20008, 20007])).
% 22.08/22.45 tff(20010,plain,
% 22.08/22.45 (~node26(s192)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20009, 6122, 16007])).
% 22.08/22.45 tff(20011,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s192) | node26(s192) | (~until27(s192)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20012,plain,
% 22.08/22.45 ((node26(s192) | (~until27(s192)) | xuntil28(s192)) <=> (xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20013,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s192) | node26(s192) | (~until27(s192))))),
% 22.08/22.45 inference(monotonicity,[status(thm)],[20012])).
% 22.08/22.45 tff(20014,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 22.08/22.45 inference(transitivity,[status(thm)],[20013, 20011])).
% 22.08/22.45 tff(20015,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20016,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 22.08/22.45 tff(20017,plain,
% 22.08/22.45 (xuntil28(s192) | (~until27(s192))),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20016, 17403, 20010])).
% 22.08/22.45 tff(20018,plain,
% 22.08/22.45 (xuntil28(s192)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20017, 20006])).
% 22.08/22.45 tff(20019,plain,
% 22.08/22.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20020,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20021,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193)),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 22.08/22.45 tff(20022,plain,
% 22.08/22.45 ((~xuntil28(s192)) | until27(s193)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20021, 15635, 17421])).
% 22.08/22.45 tff(20023,plain,
% 22.08/22.45 (until27(s193)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20022, 20018])).
% 22.08/22.45 tff(20024,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s193) | node26(s193) | (~until27(s193)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20025,plain,
% 22.08/22.45 ((node26(s193) | (~until27(s193)) | xuntil28(s193)) <=> (xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20026,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s193) | node26(s193) | (~until27(s193))))),
% 22.08/22.45 inference(monotonicity,[status(thm)],[20025])).
% 22.08/22.45 tff(20027,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 22.08/22.45 inference(transitivity,[status(thm)],[20026, 20024])).
% 22.08/22.45 tff(20028,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20029,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 22.08/22.45 tff(20030,plain,
% 22.08/22.45 (xuntil28(s193)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20029, 17403, 20023, 16000])).
% 22.08/22.45 tff(20031,plain,
% 22.08/22.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20032,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20033,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194)),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20032, 20031])).
% 22.08/22.45 tff(20034,plain,
% 22.08/22.45 ((~xuntil28(s193)) | until27(s194)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20033, 15702, 17421])).
% 22.08/22.45 tff(20035,plain,
% 22.08/22.45 (until27(s194)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20034, 20030])).
% 22.08/22.45 tff(20036,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s194) | node26(s194) | (~until27(s194)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20037,plain,
% 22.08/22.45 ((node26(s194) | (~until27(s194)) | xuntil28(s194)) <=> (xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20038,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s194) | node26(s194) | (~until27(s194))))),
% 22.08/22.45 inference(monotonicity,[status(thm)],[20037])).
% 22.08/22.45 tff(20039,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 22.08/22.45 inference(transitivity,[status(thm)],[20038, 20036])).
% 22.08/22.45 tff(20040,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20041,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 22.08/22.45 tff(20042,plain,
% 22.08/22.45 (xuntil28(s194) | node26(s194)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20041, 17403, 20035])).
% 22.08/22.45 tff(20043,plain,
% 22.08/22.45 (xuntil28(s194)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20042, 15996])).
% 22.08/22.45 tff(20044,plain,
% 22.08/22.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20045,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20046,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195)),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20045, 20044])).
% 22.08/22.45 tff(20047,plain,
% 22.08/22.45 ((~xuntil28(s194)) | until27(s195)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20046, 15801, 17421])).
% 22.08/22.45 tff(20048,plain,
% 22.08/22.45 (until27(s195)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20047, 20043])).
% 22.08/22.45 tff(20049,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s195) | node26(s195) | (~until27(s195)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20050,plain,
% 22.08/22.45 ((node26(s195) | (~until27(s195)) | xuntil28(s195)) <=> (xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20051,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s195) | node26(s195) | (~until27(s195))))),
% 22.08/22.45 inference(monotonicity,[status(thm)],[20050])).
% 22.08/22.45 tff(20052,plain,
% 22.08/22.45 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 22.08/22.45 inference(transitivity,[status(thm)],[20051, 20049])).
% 22.08/22.45 tff(20053,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20054,plain,
% 22.08/22.45 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195))),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20053, 20052])).
% 22.08/22.45 tff(20055,plain,
% 22.08/22.45 (xuntil28(s195)),
% 22.08/22.45 inference(unit_resolution,[status(thm)],[20054, 17403, 20048, 15987])).
% 22.08/22.45 tff(20056,plain,
% 22.08/22.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))),
% 22.08/22.45 inference(rewrite,[status(thm)],[])).
% 22.08/22.45 tff(20057,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))),
% 22.08/22.45 inference(quant_inst,[status(thm)],[])).
% 22.08/22.45 tff(20058,plain,
% 22.08/22.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196)),
% 22.08/22.45 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 22.08/22.46 tff(20059,plain,
% 22.08/22.46 ((~xuntil28(s195)) | until27(s196)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20058, 15879, 17421])).
% 22.08/22.46 tff(20060,plain,
% 22.08/22.46 (until27(s196)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20059, 20055])).
% 22.08/22.46 tff(20061,plain,
% 22.08/22.46 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20062,plain,
% 22.08/22.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20063,plain,
% 22.08/22.46 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20062, 20061])).
% 22.08/22.46 tff(20064,plain,
% 22.08/22.46 (~node26(s196)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20063, 6122, 15978])).
% 22.08/22.46 tff(20065,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s196) | node26(s196) | (~until27(s196)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20066,plain,
% 22.08/22.46 ((node26(s196) | (~until27(s196)) | xuntil28(s196)) <=> (xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20067,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s196) | node26(s196) | (~until27(s196))))),
% 22.08/22.46 inference(monotonicity,[status(thm)],[20066])).
% 22.08/22.46 tff(20068,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 22.08/22.46 inference(transitivity,[status(thm)],[20067, 20065])).
% 22.08/22.46 tff(20069,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20070,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 22.08/22.46 tff(20071,plain,
% 22.08/22.46 (xuntil28(s196) | (~until27(s196))),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20070, 17403, 20064])).
% 22.08/22.46 tff(20072,plain,
% 22.08/22.46 (xuntil28(s196)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20071, 20060])).
% 22.08/22.46 tff(20073,plain,
% 22.08/22.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20074,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20075,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197)),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 22.08/22.46 tff(20076,plain,
% 22.08/22.46 ((~xuntil28(s196)) | until27(s197)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20075, 15940, 17421])).
% 22.08/22.46 tff(20077,plain,
% 22.08/22.46 (until27(s197)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20076, 20072])).
% 22.08/22.46 tff(20078,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s197) | node26(s197) | (~until27(s197)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20079,plain,
% 22.08/22.46 ((node26(s197) | (~until27(s197)) | xuntil28(s197)) <=> (xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20080,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s197) | node26(s197) | (~until27(s197))))),
% 22.08/22.46 inference(monotonicity,[status(thm)],[20079])).
% 22.08/22.46 tff(20081,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 22.08/22.46 inference(transitivity,[status(thm)],[20080, 20078])).
% 22.08/22.46 tff(20082,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20083,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20082, 20081])).
% 22.08/22.46 tff(20084,plain,
% 22.08/22.46 (xuntil28(s197)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20083, 17403, 20077, 15971])).
% 22.08/22.46 tff(20085,plain,
% 22.08/22.46 (succ(s197, s198) <=> succ(s197, s198)),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20086,axiom,(succ(s197, s198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound198')).
% 22.08/22.46 tff(20087,plain,
% 22.08/22.46 (succ(s197, s198)),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 22.08/22.46 tff(20088,plain,
% 22.08/22.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20089,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20090,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198)),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20089, 20088])).
% 22.08/22.46 tff(20091,plain,
% 22.08/22.46 ((~xuntil28(s197)) | until27(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20090, 20087, 17421])).
% 22.08/22.46 tff(20092,plain,
% 22.08/22.46 (until27(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20091, 20084])).
% 22.08/22.46 tff(20093,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s198) | node26(s198) | (~until27(s198)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20094,plain,
% 22.08/22.46 ((node26(s198) | (~until27(s198)) | xuntil28(s198)) <=> (xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20095,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s198) | node26(s198) | (~until27(s198))))),
% 22.08/22.46 inference(monotonicity,[status(thm)],[20094])).
% 22.08/22.46 tff(20096,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 22.08/22.46 inference(transitivity,[status(thm)],[20095, 20093])).
% 22.08/22.46 tff(20097,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20098,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20097, 20096])).
% 22.08/22.46 tff(20099,plain,
% 22.08/22.46 (xuntil28(s198) | node26(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20098, 17403, 20092])).
% 22.08/22.46 tff(20100,plain,
% 22.08/22.46 (xuntil28(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20099, 6158])).
% 22.08/22.46 tff(20101,plain,
% 22.08/22.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20102,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20103,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199)),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20102, 20101])).
% 22.08/22.46 tff(20104,plain,
% 22.08/22.46 ((~xuntil28(s198)) | until27(s199)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20103, 6132, 17421])).
% 22.08/22.46 tff(20105,plain,
% 22.08/22.46 (until27(s199)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20104, 20100])).
% 22.08/22.46 tff(20106,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s199) | node26(s199) | (~until27(s199)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20107,plain,
% 22.08/22.46 ((node26(s199) | (~until27(s199)) | xuntil28(s199)) <=> (xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20108,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s199) | node26(s199) | (~until27(s199))))),
% 22.08/22.46 inference(monotonicity,[status(thm)],[20107])).
% 22.08/22.46 tff(20109,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 22.08/22.46 inference(transitivity,[status(thm)],[20108, 20106])).
% 22.08/22.46 tff(20110,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20111,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20110, 20109])).
% 22.08/22.46 tff(20112,plain,
% 22.08/22.46 ($false),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20111, 17403, 20105, 6129, 6128])).
% 22.08/22.46 tff(20113,plain,(always25(s199) | xuntil28(s199)), inference(lemma,lemma(discharge,[]))).
% 22.08/22.46 tff(20114,plain,
% 22.08/22.46 (xuntil28(s199)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20113, 6114])).
% 22.08/22.46 tff(20115,plain,
% 22.08/22.46 (^[X: $i] : refl(((~last(X)) | (~xuntil2p30(X))) <=> ((~last(X)) | (~xuntil2p30(X))))),
% 22.08/22.46 inference(bind,[status(th)],[])).
% 22.08/22.46 tff(20116,plain,
% 22.08/22.46 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(quant_intro,[status(thm)],[20115])).
% 22.08/22.46 tff(20117,plain,
% 22.08/22.46 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20118,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p30(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty25')).
% 22.08/22.46 tff(20119,plain,
% 22.08/22.46 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 22.08/22.46 tff(20120,plain,(
% 22.08/22.46 ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(skolemize,[status(sab)],[20119])).
% 22.08/22.46 tff(20121,plain,
% 22.08/22.46 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20120, 20116])).
% 22.08/22.46 tff(20122,plain,
% 22.08/22.46 (last(s199) <=> last(s199)),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20123,axiom,(last(s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound200')).
% 22.08/22.46 tff(20124,plain,
% 22.08/22.46 (last(s199)),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20123, 20122])).
% 22.08/22.46 tff(20125,plain,
% 22.08/22.46 (((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s199)) | (~xuntil2p30(s199)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s199)) | (~xuntil2p30(s199)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20126,plain,
% 22.08/22.46 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s199)) | (~xuntil2p30(s199)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20127,plain,
% 22.08/22.46 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s199)) | (~xuntil2p30(s199))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20126, 20125])).
% 22.08/22.46 tff(20128,plain,
% 22.08/22.46 (~xuntil2p30(s199)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20127, 20124, 20121])).
% 22.08/22.46 tff(20129,plain,
% 22.08/22.46 (^[X: $i] : refl((node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 22.08/22.46 inference(bind,[status(th)],[])).
% 22.08/22.46 tff(20130,plain,
% 22.08/22.46 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(quant_intro,[status(thm)],[20129])).
% 22.08/22.46 tff(20131,plain,
% 22.08/22.46 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20132,plain,
% 22.08/22.46 (^[X: $i] : rewrite(((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 22.08/22.46 inference(bind,[status(th)],[])).
% 22.08/22.46 tff(20133,plain,
% 22.08/22.46 (![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(quant_intro,[status(thm)],[20132])).
% 22.08/22.46 tff(20134,axiom,(![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty23')).
% 22.08/22.46 tff(20135,plain,
% 22.08/22.46 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20134, 20133])).
% 22.08/22.46 tff(20136,plain,
% 22.08/22.46 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20135, 20131])).
% 22.08/22.46 tff(20137,plain,(
% 22.08/22.46 ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(skolemize,[status(sab)],[20136])).
% 22.08/22.46 tff(20138,plain,
% 22.08/22.46 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20137, 20130])).
% 22.08/22.46 tff(20139,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20140,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20141,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s199) | xuntil2p30(s199) | (~until2p29(s199))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 22.08/22.46 tff(20142,plain,
% 22.08/22.46 (node26(s199) | (~until2p29(s199))),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20141, 20138, 20128])).
% 22.08/22.46 tff(20143,plain,
% 22.08/22.46 (~until2p29(s199)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20142, 6128])).
% 22.08/22.46 tff(20144,plain,
% 22.08/22.46 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 22.08/22.46 inference(bind,[status(th)],[])).
% 22.08/22.46 tff(20145,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(quant_intro,[status(thm)],[20144])).
% 22.08/22.46 tff(20146,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20147,plain,
% 22.08/22.46 (^[Y: $i, X: $i] : rewrite(((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 22.08/22.46 inference(bind,[status(th)],[])).
% 22.08/22.46 tff(20148,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(quant_intro,[status(thm)],[20147])).
% 22.08/22.46 tff(20149,axiom,(![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty24')).
% 22.08/22.46 tff(20150,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 22.08/22.46 tff(20151,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20150, 20146])).
% 22.08/22.46 tff(20152,plain,(
% 22.08/22.46 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(skolemize,[status(sab)],[20151])).
% 22.08/22.46 tff(20153,plain,
% 22.08/22.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20152, 20145])).
% 22.08/22.46 tff(20154,plain,
% 22.08/22.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20155,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20156,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20155, 20154])).
% 22.08/22.46 tff(20157,plain,
% 22.08/22.46 (until2p29(s199) | (~xuntil2p30(s198))),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20156, 6132, 20153])).
% 22.08/22.46 tff(20158,plain,
% 22.08/22.46 (~xuntil2p30(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20157, 20143])).
% 22.08/22.46 tff(20159,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20160,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20161,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s198) | xuntil2p30(s198) | (~until2p29(s198))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 22.08/22.46 tff(20162,plain,
% 22.08/22.46 (~until2p29(s198)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20161, 20138, 20158, 6158])).
% 22.08/22.46 tff(20163,plain,
% 22.08/22.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20164,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20165,plain,
% 22.08/22.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 22.08/22.46 tff(20166,plain,
% 22.08/22.46 (until2p29(s198) | (~xuntil2p30(s197))),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20165, 20087, 20153])).
% 22.08/22.46 tff(20167,plain,
% 22.08/22.46 (~xuntil2p30(s197)),
% 22.08/22.46 inference(unit_resolution,[status(thm)],[20166, 20162])).
% 22.08/22.46 tff(20168,plain,
% 22.08/22.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))),
% 22.08/22.46 inference(rewrite,[status(thm)],[])).
% 22.08/22.46 tff(20169,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))),
% 22.08/22.46 inference(quant_inst,[status(thm)],[])).
% 22.08/22.46 tff(20170,plain,
% 22.08/22.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s197) | xuntil2p30(s197) | (~until2p29(s197))),
% 22.08/22.46 inference(modus_ponens,[status(thm)],[20169, 20168])).
% 22.08/22.46 tff(20171,plain,
% 22.08/22.46 (xuntil2p30(s197) | (~until2p29(s197))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20170, 20138, 15971])).
% 22.08/22.47 tff(20172,plain,
% 22.08/22.47 (~until2p29(s197)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20171, 20167])).
% 22.08/22.47 tff(20173,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20174,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20175,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 22.08/22.47 tff(20176,plain,
% 22.08/22.47 (until2p29(s197) | (~xuntil2p30(s196))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20175, 15940, 20153])).
% 22.08/22.47 tff(20177,plain,
% 22.08/22.47 (~xuntil2p30(s196)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20176, 20172])).
% 22.08/22.47 tff(20178,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20179,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20180,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s196) | xuntil2p30(s196) | (~until2p29(s196))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 22.08/22.47 tff(20181,plain,
% 22.08/22.47 (xuntil2p30(s196) | (~until2p29(s196))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20180, 20138, 20064])).
% 22.08/22.47 tff(20182,plain,
% 22.08/22.47 (~until2p29(s196)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20181, 20177])).
% 22.08/22.47 tff(20183,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20184,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20185,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20184, 20183])).
% 22.08/22.47 tff(20186,plain,
% 22.08/22.47 (until2p29(s196) | (~xuntil2p30(s195))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20185, 15879, 20153])).
% 22.08/22.47 tff(20187,plain,
% 22.08/22.47 (~xuntil2p30(s195)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20186, 20182])).
% 22.08/22.47 tff(20188,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20189,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20190,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s195) | xuntil2p30(s195) | (~until2p29(s195))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 22.08/22.47 tff(20191,plain,
% 22.08/22.47 (xuntil2p30(s195) | (~until2p29(s195))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20190, 20138, 15987])).
% 22.08/22.47 tff(20192,plain,
% 22.08/22.47 (~until2p29(s195)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20191, 20187])).
% 22.08/22.47 tff(20193,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20194,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20195,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 22.08/22.47 tff(20196,plain,
% 22.08/22.47 (until2p29(s195) | (~xuntil2p30(s194))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20195, 15801, 20153])).
% 22.08/22.47 tff(20197,plain,
% 22.08/22.47 (~xuntil2p30(s194)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20196, 20192])).
% 22.08/22.47 tff(20198,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20199,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20200,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s194) | xuntil2p30(s194) | (~until2p29(s194))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 22.08/22.47 tff(20201,plain,
% 22.08/22.47 (xuntil2p30(s194) | (~until2p29(s194))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20200, 20138, 15996])).
% 22.08/22.47 tff(20202,plain,
% 22.08/22.47 (~until2p29(s194)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20201, 20197])).
% 22.08/22.47 tff(20203,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20204,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20205,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20204, 20203])).
% 22.08/22.47 tff(20206,plain,
% 22.08/22.47 (until2p29(s194) | (~xuntil2p30(s193))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20205, 15702, 20153])).
% 22.08/22.47 tff(20207,plain,
% 22.08/22.47 (~xuntil2p30(s193)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20206, 20202])).
% 22.08/22.47 tff(20208,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20209,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20210,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s193) | xuntil2p30(s193) | (~until2p29(s193))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 22.08/22.47 tff(20211,plain,
% 22.08/22.47 (xuntil2p30(s193) | (~until2p29(s193))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20210, 20138, 16000])).
% 22.08/22.47 tff(20212,plain,
% 22.08/22.47 (~until2p29(s193)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20211, 20207])).
% 22.08/22.47 tff(20213,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20214,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20215,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 22.08/22.47 tff(20216,plain,
% 22.08/22.47 (until2p29(s193) | (~xuntil2p30(s192))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20215, 15635, 20153])).
% 22.08/22.47 tff(20217,plain,
% 22.08/22.47 (~xuntil2p30(s192)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20216, 20212])).
% 22.08/22.47 tff(20218,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20219,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20220,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s192) | xuntil2p30(s192) | (~until2p29(s192))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 22.08/22.47 tff(20221,plain,
% 22.08/22.47 (xuntil2p30(s192) | (~until2p29(s192))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20220, 20138, 20010])).
% 22.08/22.47 tff(20222,plain,
% 22.08/22.47 (~until2p29(s192)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20221, 20217])).
% 22.08/22.47 tff(20223,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20224,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20225,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 22.08/22.47 tff(20226,plain,
% 22.08/22.47 (until2p29(s192) | (~xuntil2p30(s191))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20225, 15546, 20153])).
% 22.08/22.47 tff(20227,plain,
% 22.08/22.47 (~xuntil2p30(s191)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20226, 20222])).
% 22.08/22.47 tff(20228,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20229,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20230,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s191) | xuntil2p30(s191) | (~until2p29(s191))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20229, 20228])).
% 22.08/22.47 tff(20231,plain,
% 22.08/22.47 (xuntil2p30(s191) | (~until2p29(s191))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20230, 20138, 16016])).
% 22.08/22.47 tff(20232,plain,
% 22.08/22.47 (~until2p29(s191)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20231, 20227])).
% 22.08/22.47 tff(20233,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20234,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20235,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 22.08/22.47 tff(20236,plain,
% 22.08/22.47 (until2p29(s191) | (~xuntil2p30(s190))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20235, 15471, 20153])).
% 22.08/22.47 tff(20237,plain,
% 22.08/22.47 (~xuntil2p30(s190)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20236, 20232])).
% 22.08/22.47 tff(20238,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20239,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20240,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s190) | xuntil2p30(s190) | (~until2p29(s190))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 22.08/22.47 tff(20241,plain,
% 22.08/22.47 (xuntil2p30(s190) | (~until2p29(s190))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20240, 20138, 16025])).
% 22.08/22.47 tff(20242,plain,
% 22.08/22.47 (~until2p29(s190)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20241, 20237])).
% 22.08/22.47 tff(20243,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20244,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20245,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20244, 20243])).
% 22.08/22.47 tff(20246,plain,
% 22.08/22.47 (until2p29(s190) | (~xuntil2p30(s189))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20245, 15407, 20153])).
% 22.08/22.47 tff(20247,plain,
% 22.08/22.47 (~xuntil2p30(s189)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20246, 20242])).
% 22.08/22.47 tff(20248,plain,
% 22.08/22.47 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20249,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20250,plain,
% 22.08/22.47 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s189) | xuntil2p30(s189) | (~until2p29(s189))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 22.08/22.47 tff(20251,plain,
% 22.08/22.47 (xuntil2p30(s189) | (~until2p29(s189))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20250, 20138, 16029])).
% 22.08/22.47 tff(20252,plain,
% 22.08/22.47 (~until2p29(s189)),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20251, 20247])).
% 22.08/22.47 tff(20253,plain,
% 22.08/22.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))),
% 22.08/22.47 inference(rewrite,[status(thm)],[])).
% 22.08/22.47 tff(20254,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))),
% 22.08/22.47 inference(quant_inst,[status(thm)],[])).
% 22.08/22.47 tff(20255,plain,
% 22.08/22.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188))),
% 22.08/22.47 inference(modus_ponens,[status(thm)],[20254, 20253])).
% 22.08/22.47 tff(20256,plain,
% 22.08/22.47 (until2p29(s189) | (~xuntil2p30(s188))),
% 22.08/22.47 inference(unit_resolution,[status(thm)],[20255, 15312, 20153])).
% 22.08/22.48 tff(20257,plain,
% 22.08/22.48 (~xuntil2p30(s188)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20256, 20252])).
% 22.08/22.48 tff(20258,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20259,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20260,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s188) | xuntil2p30(s188) | (~until2p29(s188))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20259, 20258])).
% 22.08/22.48 tff(20261,plain,
% 22.08/22.48 (xuntil2p30(s188) | (~until2p29(s188))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20260, 20138, 19956])).
% 22.08/22.48 tff(20262,plain,
% 22.08/22.48 (~until2p29(s188)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20261, 20257])).
% 22.08/22.48 tff(20263,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20264,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20265,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 22.08/22.48 tff(20266,plain,
% 22.08/22.48 (until2p29(s188) | (~xuntil2p30(s187))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20265, 15251, 20153])).
% 22.08/22.48 tff(20267,plain,
% 22.08/22.48 (~xuntil2p30(s187)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20266, 20262])).
% 22.08/22.48 tff(20268,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20269,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20270,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s187) | xuntil2p30(s187) | (~until2p29(s187))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20269, 20268])).
% 22.08/22.48 tff(20271,plain,
% 22.08/22.48 (xuntil2p30(s187) | (~until2p29(s187))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20270, 20138, 16045])).
% 22.08/22.48 tff(20272,plain,
% 22.08/22.48 (~until2p29(s187)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20271, 20267])).
% 22.08/22.48 tff(20273,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20274,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20275,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20274, 20273])).
% 22.08/22.48 tff(20276,plain,
% 22.08/22.48 (until2p29(s187) | (~xuntil2p30(s186))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20275, 15173, 20153])).
% 22.08/22.48 tff(20277,plain,
% 22.08/22.48 (~xuntil2p30(s186)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20276, 20272])).
% 22.08/22.48 tff(20278,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20279,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20280,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s186) | xuntil2p30(s186) | (~until2p29(s186))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20279, 20278])).
% 22.08/22.48 tff(20281,plain,
% 22.08/22.48 (xuntil2p30(s186) | (~until2p29(s186))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20280, 20138, 16054])).
% 22.08/22.48 tff(20282,plain,
% 22.08/22.48 (~until2p29(s186)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20281, 20277])).
% 22.08/22.48 tff(20283,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20284,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20285,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20284, 20283])).
% 22.08/22.48 tff(20286,plain,
% 22.08/22.48 (until2p29(s186) | (~xuntil2p30(s185))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20285, 15074, 20153])).
% 22.08/22.48 tff(20287,plain,
% 22.08/22.48 (~xuntil2p30(s185)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20286, 20282])).
% 22.08/22.48 tff(20288,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20289,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20290,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s185) | xuntil2p30(s185) | (~until2p29(s185))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20289, 20288])).
% 22.08/22.48 tff(20291,plain,
% 22.08/22.48 (xuntil2p30(s185) | (~until2p29(s185))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20290, 20138, 16058])).
% 22.08/22.48 tff(20292,plain,
% 22.08/22.48 (~until2p29(s185)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20291, 20287])).
% 22.08/22.48 tff(20293,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20294,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20295,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 22.08/22.48 tff(20296,plain,
% 22.08/22.48 (until2p29(s185) | (~xuntil2p30(s184))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20295, 15007, 20153])).
% 22.08/22.48 tff(20297,plain,
% 22.08/22.48 (~xuntil2p30(s184)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20296, 20292])).
% 22.08/22.48 tff(20298,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20299,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20300,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s184) | xuntil2p30(s184) | (~until2p29(s184))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20299, 20298])).
% 22.08/22.48 tff(20301,plain,
% 22.08/22.48 (xuntil2p30(s184) | (~until2p29(s184))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20300, 20138, 19902])).
% 22.08/22.48 tff(20302,plain,
% 22.08/22.48 (~until2p29(s184)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20301, 20297])).
% 22.08/22.48 tff(20303,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20304,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20305,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20304, 20303])).
% 22.08/22.48 tff(20306,plain,
% 22.08/22.48 (until2p29(s184) | (~xuntil2p30(s183))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20305, 14918, 20153])).
% 22.08/22.48 tff(20307,plain,
% 22.08/22.48 (~xuntil2p30(s183)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20306, 20302])).
% 22.08/22.48 tff(20308,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20309,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20310,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s183) | xuntil2p30(s183) | (~until2p29(s183))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20309, 20308])).
% 22.08/22.48 tff(20311,plain,
% 22.08/22.48 (xuntil2p30(s183) | (~until2p29(s183))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20310, 20138, 16074])).
% 22.08/22.48 tff(20312,plain,
% 22.08/22.48 (~until2p29(s183)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20311, 20307])).
% 22.08/22.48 tff(20313,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20314,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20315,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 22.08/22.48 tff(20316,plain,
% 22.08/22.48 (until2p29(s183) | (~xuntil2p30(s182))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20315, 14843, 20153])).
% 22.08/22.48 tff(20317,plain,
% 22.08/22.48 (~xuntil2p30(s182)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20316, 20312])).
% 22.08/22.48 tff(20318,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20319,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20320,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s182) | xuntil2p30(s182) | (~until2p29(s182))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20319, 20318])).
% 22.08/22.48 tff(20321,plain,
% 22.08/22.48 (xuntil2p30(s182) | (~until2p29(s182))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20320, 20138, 16083])).
% 22.08/22.48 tff(20322,plain,
% 22.08/22.48 (~until2p29(s182)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20321, 20317])).
% 22.08/22.48 tff(20323,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20324,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20325,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20324, 20323])).
% 22.08/22.48 tff(20326,plain,
% 22.08/22.48 (until2p29(s182) | (~xuntil2p30(s181))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20325, 14779, 20153])).
% 22.08/22.48 tff(20327,plain,
% 22.08/22.48 (~xuntil2p30(s181)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20326, 20322])).
% 22.08/22.48 tff(20328,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20329,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20330,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s181) | xuntil2p30(s181) | (~until2p29(s181))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20329, 20328])).
% 22.08/22.48 tff(20331,plain,
% 22.08/22.48 (xuntil2p30(s181) | (~until2p29(s181))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20330, 20138, 16087])).
% 22.08/22.48 tff(20332,plain,
% 22.08/22.48 (~until2p29(s181)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20331, 20327])).
% 22.08/22.48 tff(20333,plain,
% 22.08/22.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20334,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20335,plain,
% 22.08/22.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 22.08/22.48 tff(20336,plain,
% 22.08/22.48 (until2p29(s181) | (~xuntil2p30(s180))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20335, 14684, 20153])).
% 22.08/22.48 tff(20337,plain,
% 22.08/22.48 (~xuntil2p30(s180)),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20336, 20332])).
% 22.08/22.48 tff(20338,plain,
% 22.08/22.48 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))),
% 22.08/22.48 inference(rewrite,[status(thm)],[])).
% 22.08/22.48 tff(20339,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))),
% 22.08/22.48 inference(quant_inst,[status(thm)],[])).
% 22.08/22.48 tff(20340,plain,
% 22.08/22.48 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s180) | xuntil2p30(s180) | (~until2p29(s180))),
% 22.08/22.48 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 22.08/22.48 tff(20341,plain,
% 22.08/22.48 (xuntil2p30(s180) | (~until2p29(s180))),
% 22.08/22.48 inference(unit_resolution,[status(thm)],[20340, 20138, 19848])).
% 22.08/22.48 tff(20342,plain,
% 22.08/22.48 (~until2p29(s180)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20341, 20337])).
% 22.08/22.49 tff(20343,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20344,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20345,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20344, 20343])).
% 22.08/22.49 tff(20346,plain,
% 22.08/22.49 (until2p29(s180) | (~xuntil2p30(s179))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20345, 14623, 20153])).
% 22.08/22.49 tff(20347,plain,
% 22.08/22.49 (~xuntil2p30(s179)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20346, 20342])).
% 22.08/22.49 tff(20348,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20349,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20350,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s179) | xuntil2p30(s179) | (~until2p29(s179))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 22.08/22.49 tff(20351,plain,
% 22.08/22.49 (xuntil2p30(s179) | (~until2p29(s179))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20350, 20138, 16103])).
% 22.08/22.49 tff(20352,plain,
% 22.08/22.49 (~until2p29(s179)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20351, 20347])).
% 22.08/22.49 tff(20353,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20354,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20355,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 22.08/22.49 tff(20356,plain,
% 22.08/22.49 (until2p29(s179) | (~xuntil2p30(s178))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20355, 14545, 20153])).
% 22.08/22.49 tff(20357,plain,
% 22.08/22.49 (~xuntil2p30(s178)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20356, 20352])).
% 22.08/22.49 tff(20358,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20359,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20360,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s178) | xuntil2p30(s178) | (~until2p29(s178))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 22.08/22.49 tff(20361,plain,
% 22.08/22.49 (xuntil2p30(s178) | (~until2p29(s178))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20360, 20138, 16112])).
% 22.08/22.49 tff(20362,plain,
% 22.08/22.49 (~until2p29(s178)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20361, 20357])).
% 22.08/22.49 tff(20363,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20364,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20365,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20364, 20363])).
% 22.08/22.49 tff(20366,plain,
% 22.08/22.49 (until2p29(s178) | (~xuntil2p30(s177))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20365, 14446, 20153])).
% 22.08/22.49 tff(20367,plain,
% 22.08/22.49 (~xuntil2p30(s177)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20366, 20362])).
% 22.08/22.49 tff(20368,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20369,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20370,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s177) | xuntil2p30(s177) | (~until2p29(s177))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20369, 20368])).
% 22.08/22.49 tff(20371,plain,
% 22.08/22.49 (xuntil2p30(s177) | (~until2p29(s177))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20370, 20138, 16116])).
% 22.08/22.49 tff(20372,plain,
% 22.08/22.49 (~until2p29(s177)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20371, 20367])).
% 22.08/22.49 tff(20373,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20374,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20375,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 22.08/22.49 tff(20376,plain,
% 22.08/22.49 (until2p29(s177) | (~xuntil2p30(s176))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20375, 14379, 20153])).
% 22.08/22.49 tff(20377,plain,
% 22.08/22.49 (~xuntil2p30(s176)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20376, 20372])).
% 22.08/22.49 tff(20378,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20379,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20380,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s176) | xuntil2p30(s176) | (~until2p29(s176))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20379, 20378])).
% 22.08/22.49 tff(20381,plain,
% 22.08/22.49 (xuntil2p30(s176) | (~until2p29(s176))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20380, 20138, 19794])).
% 22.08/22.49 tff(20382,plain,
% 22.08/22.49 (~until2p29(s176)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20381, 20377])).
% 22.08/22.49 tff(20383,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20384,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20385,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20384, 20383])).
% 22.08/22.49 tff(20386,plain,
% 22.08/22.49 (until2p29(s176) | (~xuntil2p30(s175))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20385, 14290, 20153])).
% 22.08/22.49 tff(20387,plain,
% 22.08/22.49 (~xuntil2p30(s175)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20386, 20382])).
% 22.08/22.49 tff(20388,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20389,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20390,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s175) | xuntil2p30(s175) | (~until2p29(s175))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 22.08/22.49 tff(20391,plain,
% 22.08/22.49 (xuntil2p30(s175) | (~until2p29(s175))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20390, 20138, 16132])).
% 22.08/22.49 tff(20392,plain,
% 22.08/22.49 (~until2p29(s175)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20391, 20387])).
% 22.08/22.49 tff(20393,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20394,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20395,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20394, 20393])).
% 22.08/22.49 tff(20396,plain,
% 22.08/22.49 (until2p29(s175) | (~xuntil2p30(s174))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20395, 14215, 20153])).
% 22.08/22.49 tff(20397,plain,
% 22.08/22.49 (~xuntil2p30(s174)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20396, 20392])).
% 22.08/22.49 tff(20398,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20399,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20400,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s174) | xuntil2p30(s174) | (~until2p29(s174))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20399, 20398])).
% 22.08/22.49 tff(20401,plain,
% 22.08/22.49 (xuntil2p30(s174) | (~until2p29(s174))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20400, 20138, 16141])).
% 22.08/22.49 tff(20402,plain,
% 22.08/22.49 (~until2p29(s174)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20401, 20397])).
% 22.08/22.49 tff(20403,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20404,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20405,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20404, 20403])).
% 22.08/22.49 tff(20406,plain,
% 22.08/22.49 (until2p29(s174) | (~xuntil2p30(s173))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20405, 14151, 20153])).
% 22.08/22.49 tff(20407,plain,
% 22.08/22.49 (~xuntil2p30(s173)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20406, 20402])).
% 22.08/22.49 tff(20408,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20409,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20410,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s173) | xuntil2p30(s173) | (~until2p29(s173))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20409, 20408])).
% 22.08/22.49 tff(20411,plain,
% 22.08/22.49 (xuntil2p30(s173) | (~until2p29(s173))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20410, 20138, 16145])).
% 22.08/22.49 tff(20412,plain,
% 22.08/22.49 (~until2p29(s173)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20411, 20407])).
% 22.08/22.49 tff(20413,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20414,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20415,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 22.08/22.49 tff(20416,plain,
% 22.08/22.49 (until2p29(s173) | (~xuntil2p30(s172))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20415, 14056, 20153])).
% 22.08/22.49 tff(20417,plain,
% 22.08/22.49 (~xuntil2p30(s172)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20416, 20412])).
% 22.08/22.49 tff(20418,plain,
% 22.08/22.49 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20419,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20420,plain,
% 22.08/22.49 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s172) | xuntil2p30(s172) | (~until2p29(s172))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20419, 20418])).
% 22.08/22.49 tff(20421,plain,
% 22.08/22.49 (xuntil2p30(s172) | (~until2p29(s172))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20420, 20138, 19740])).
% 22.08/22.49 tff(20422,plain,
% 22.08/22.49 (~until2p29(s172)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20421, 20417])).
% 22.08/22.49 tff(20423,plain,
% 22.08/22.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))),
% 22.08/22.49 inference(rewrite,[status(thm)],[])).
% 22.08/22.49 tff(20424,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))),
% 22.08/22.49 inference(quant_inst,[status(thm)],[])).
% 22.08/22.49 tff(20425,plain,
% 22.08/22.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171))),
% 22.08/22.49 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 22.08/22.49 tff(20426,plain,
% 22.08/22.49 (until2p29(s172) | (~xuntil2p30(s171))),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20425, 13995, 20153])).
% 22.08/22.49 tff(20427,plain,
% 22.08/22.49 (~xuntil2p30(s171)),
% 22.08/22.49 inference(unit_resolution,[status(thm)],[20426, 20422])).
% 22.08/22.50 tff(20428,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20429,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20430,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s171) | xuntil2p30(s171) | (~until2p29(s171))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20429, 20428])).
% 22.08/22.50 tff(20431,plain,
% 22.08/22.50 (xuntil2p30(s171) | (~until2p29(s171))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20430, 20138, 16161])).
% 22.08/22.50 tff(20432,plain,
% 22.08/22.50 (~until2p29(s171)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20431, 20427])).
% 22.08/22.50 tff(20433,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20434,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20435,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20434, 20433])).
% 22.08/22.50 tff(20436,plain,
% 22.08/22.50 (until2p29(s171) | (~xuntil2p30(s170))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20435, 13917, 20153])).
% 22.08/22.50 tff(20437,plain,
% 22.08/22.50 (~xuntil2p30(s170)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20436, 20432])).
% 22.08/22.50 tff(20438,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20439,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20440,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s170) | xuntil2p30(s170) | (~until2p29(s170))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 22.08/22.50 tff(20441,plain,
% 22.08/22.50 (xuntil2p30(s170) | (~until2p29(s170))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20440, 20138, 16170])).
% 22.08/22.50 tff(20442,plain,
% 22.08/22.50 (~until2p29(s170)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20441, 20437])).
% 22.08/22.50 tff(20443,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20444,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20445,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20444, 20443])).
% 22.08/22.50 tff(20446,plain,
% 22.08/22.50 (until2p29(s170) | (~xuntil2p30(s169))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20445, 13818, 20153])).
% 22.08/22.50 tff(20447,plain,
% 22.08/22.50 (~xuntil2p30(s169)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20446, 20442])).
% 22.08/22.50 tff(20448,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20449,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20450,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s169) | xuntil2p30(s169) | (~until2p29(s169))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20449, 20448])).
% 22.08/22.50 tff(20451,plain,
% 22.08/22.50 (xuntil2p30(s169) | (~until2p29(s169))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20450, 20138, 16174])).
% 22.08/22.50 tff(20452,plain,
% 22.08/22.50 (~until2p29(s169)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20451, 20447])).
% 22.08/22.50 tff(20453,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20454,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20455,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20454, 20453])).
% 22.08/22.50 tff(20456,plain,
% 22.08/22.50 (until2p29(s169) | (~xuntil2p30(s168))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20455, 13751, 20153])).
% 22.08/22.50 tff(20457,plain,
% 22.08/22.50 (~xuntil2p30(s168)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20456, 20452])).
% 22.08/22.50 tff(20458,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20459,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20460,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s168) | xuntil2p30(s168) | (~until2p29(s168))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 22.08/22.50 tff(20461,plain,
% 22.08/22.50 (xuntil2p30(s168) | (~until2p29(s168))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20460, 20138, 19686])).
% 22.08/22.50 tff(20462,plain,
% 22.08/22.50 (~until2p29(s168)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20461, 20457])).
% 22.08/22.50 tff(20463,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20464,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20465,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20464, 20463])).
% 22.08/22.50 tff(20466,plain,
% 22.08/22.50 (until2p29(s168) | (~xuntil2p30(s167))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20465, 13662, 20153])).
% 22.08/22.50 tff(20467,plain,
% 22.08/22.50 (~xuntil2p30(s167)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20466, 20462])).
% 22.08/22.50 tff(20468,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20469,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20470,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s167) | xuntil2p30(s167) | (~until2p29(s167))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 22.08/22.50 tff(20471,plain,
% 22.08/22.50 (xuntil2p30(s167) | (~until2p29(s167))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20470, 20138, 16190])).
% 22.08/22.50 tff(20472,plain,
% 22.08/22.50 (~until2p29(s167)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20471, 20467])).
% 22.08/22.50 tff(20473,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20474,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20475,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 22.08/22.50 tff(20476,plain,
% 22.08/22.50 (until2p29(s167) | (~xuntil2p30(s166))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20475, 13587, 20153])).
% 22.08/22.50 tff(20477,plain,
% 22.08/22.50 (~xuntil2p30(s166)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20476, 20472])).
% 22.08/22.50 tff(20478,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20479,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20480,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s166) | xuntil2p30(s166) | (~until2p29(s166))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20479, 20478])).
% 22.08/22.50 tff(20481,plain,
% 22.08/22.50 (xuntil2p30(s166) | (~until2p29(s166))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20480, 20138, 16199])).
% 22.08/22.50 tff(20482,plain,
% 22.08/22.50 (~until2p29(s166)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20481, 20477])).
% 22.08/22.50 tff(20483,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20484,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20485,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 22.08/22.50 tff(20486,plain,
% 22.08/22.50 (until2p29(s166) | (~xuntil2p30(s165))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20485, 13523, 20153])).
% 22.08/22.50 tff(20487,plain,
% 22.08/22.50 (~xuntil2p30(s165)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20486, 20482])).
% 22.08/22.50 tff(20488,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20489,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20490,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s165) | xuntil2p30(s165) | (~until2p29(s165))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20489, 20488])).
% 22.08/22.50 tff(20491,plain,
% 22.08/22.50 (xuntil2p30(s165) | (~until2p29(s165))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20490, 20138, 16203])).
% 22.08/22.50 tff(20492,plain,
% 22.08/22.50 (~until2p29(s165)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20491, 20487])).
% 22.08/22.50 tff(20493,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20494,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20495,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 22.08/22.50 tff(20496,plain,
% 22.08/22.50 (until2p29(s165) | (~xuntil2p30(s164))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20495, 13428, 20153])).
% 22.08/22.50 tff(20497,plain,
% 22.08/22.50 (~xuntil2p30(s164)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20496, 20492])).
% 22.08/22.50 tff(20498,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20499,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20500,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s164) | xuntil2p30(s164) | (~until2p29(s164))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 22.08/22.50 tff(20501,plain,
% 22.08/22.50 (xuntil2p30(s164) | (~until2p29(s164))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20500, 20138, 19632])).
% 22.08/22.50 tff(20502,plain,
% 22.08/22.50 (~until2p29(s164)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20501, 20497])).
% 22.08/22.50 tff(20503,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20504,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20505,plain,
% 22.08/22.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20504, 20503])).
% 22.08/22.50 tff(20506,plain,
% 22.08/22.50 (until2p29(s164) | (~xuntil2p30(s163))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20505, 13367, 20153])).
% 22.08/22.50 tff(20507,plain,
% 22.08/22.50 (~xuntil2p30(s163)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20506, 20502])).
% 22.08/22.50 tff(20508,plain,
% 22.08/22.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))),
% 22.08/22.50 inference(rewrite,[status(thm)],[])).
% 22.08/22.50 tff(20509,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))),
% 22.08/22.50 inference(quant_inst,[status(thm)],[])).
% 22.08/22.50 tff(20510,plain,
% 22.08/22.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s163) | xuntil2p30(s163) | (~until2p29(s163))),
% 22.08/22.50 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 22.08/22.50 tff(20511,plain,
% 22.08/22.50 (xuntil2p30(s163) | (~until2p29(s163))),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20510, 20138, 16219])).
% 22.08/22.50 tff(20512,plain,
% 22.08/22.50 (~until2p29(s163)),
% 22.08/22.50 inference(unit_resolution,[status(thm)],[20511, 20507])).
% 22.08/22.50 tff(20513,plain,
% 22.08/22.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20514,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20515,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20514, 20513])).
% 22.08/22.51 tff(20516,plain,
% 22.08/22.51 (until2p29(s163) | (~xuntil2p30(s162))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20515, 13289, 20153])).
% 22.08/22.51 tff(20517,plain,
% 22.08/22.51 (~xuntil2p30(s162)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20516, 20512])).
% 22.08/22.51 tff(20518,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20519,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20520,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s162) | xuntil2p30(s162) | (~until2p29(s162))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 22.08/22.51 tff(20521,plain,
% 22.08/22.51 (xuntil2p30(s162) | (~until2p29(s162))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20520, 20138, 16228])).
% 22.08/22.51 tff(20522,plain,
% 22.08/22.51 (~until2p29(s162)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20521, 20517])).
% 22.08/22.51 tff(20523,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20524,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20525,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20524, 20523])).
% 22.08/22.51 tff(20526,plain,
% 22.08/22.51 (until2p29(s162) | (~xuntil2p30(s161))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20525, 13190, 20153])).
% 22.08/22.51 tff(20527,plain,
% 22.08/22.51 (~xuntil2p30(s161)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20526, 20522])).
% 22.08/22.51 tff(20528,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20529,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20530,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s161) | xuntil2p30(s161) | (~until2p29(s161))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20529, 20528])).
% 22.08/22.51 tff(20531,plain,
% 22.08/22.51 (xuntil2p30(s161) | (~until2p29(s161))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20530, 20138, 16232])).
% 22.08/22.51 tff(20532,plain,
% 22.08/22.51 (~until2p29(s161)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20531, 20527])).
% 22.08/22.51 tff(20533,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20534,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20535,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 22.08/22.51 tff(20536,plain,
% 22.08/22.51 (until2p29(s161) | (~xuntil2p30(s160))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20535, 13123, 20153])).
% 22.08/22.51 tff(20537,plain,
% 22.08/22.51 (~xuntil2p30(s160)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20536, 20532])).
% 22.08/22.51 tff(20538,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20539,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20540,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s160) | xuntil2p30(s160) | (~until2p29(s160))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 22.08/22.51 tff(20541,plain,
% 22.08/22.51 (xuntil2p30(s160) | (~until2p29(s160))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20540, 20138, 19578])).
% 22.08/22.51 tff(20542,plain,
% 22.08/22.51 (~until2p29(s160)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20541, 20537])).
% 22.08/22.51 tff(20543,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20544,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20545,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20544, 20543])).
% 22.08/22.51 tff(20546,plain,
% 22.08/22.51 (until2p29(s160) | (~xuntil2p30(s159))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20545, 13034, 20153])).
% 22.08/22.51 tff(20547,plain,
% 22.08/22.51 (~xuntil2p30(s159)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20546, 20542])).
% 22.08/22.51 tff(20548,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20549,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20550,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s159) | xuntil2p30(s159) | (~until2p29(s159))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20549, 20548])).
% 22.08/22.51 tff(20551,plain,
% 22.08/22.51 (xuntil2p30(s159) | (~until2p29(s159))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20550, 20138, 16248])).
% 22.08/22.51 tff(20552,plain,
% 22.08/22.51 (~until2p29(s159)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20551, 20547])).
% 22.08/22.51 tff(20553,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20554,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20555,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 22.08/22.51 tff(20556,plain,
% 22.08/22.51 (until2p29(s159) | (~xuntil2p30(s158))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20555, 12959, 20153])).
% 22.08/22.51 tff(20557,plain,
% 22.08/22.51 (~xuntil2p30(s158)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20556, 20552])).
% 22.08/22.51 tff(20558,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20559,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20560,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s158) | xuntil2p30(s158) | (~until2p29(s158))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 22.08/22.51 tff(20561,plain,
% 22.08/22.51 (xuntil2p30(s158) | (~until2p29(s158))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20560, 20138, 16257])).
% 22.08/22.51 tff(20562,plain,
% 22.08/22.51 (~until2p29(s158)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20561, 20557])).
% 22.08/22.51 tff(20563,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20564,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20565,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 22.08/22.51 tff(20566,plain,
% 22.08/22.51 (until2p29(s158) | (~xuntil2p30(s157))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20565, 12895, 20153])).
% 22.08/22.51 tff(20567,plain,
% 22.08/22.51 (~xuntil2p30(s157)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20566, 20562])).
% 22.08/22.51 tff(20568,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20569,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20570,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s157) | xuntil2p30(s157) | (~until2p29(s157))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 22.08/22.51 tff(20571,plain,
% 22.08/22.51 (xuntil2p30(s157) | (~until2p29(s157))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20570, 20138, 16261])).
% 22.08/22.51 tff(20572,plain,
% 22.08/22.51 (~until2p29(s157)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20571, 20567])).
% 22.08/22.51 tff(20573,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20574,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20575,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 22.08/22.51 tff(20576,plain,
% 22.08/22.51 (until2p29(s157) | (~xuntil2p30(s156))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20575, 12800, 20153])).
% 22.08/22.51 tff(20577,plain,
% 22.08/22.51 (~xuntil2p30(s156)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20576, 20572])).
% 22.08/22.51 tff(20578,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20579,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20580,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s156) | xuntil2p30(s156) | (~until2p29(s156))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20579, 20578])).
% 22.08/22.51 tff(20581,plain,
% 22.08/22.51 (xuntil2p30(s156) | (~until2p29(s156))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20580, 20138, 19524])).
% 22.08/22.51 tff(20582,plain,
% 22.08/22.51 (~until2p29(s156)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20581, 20577])).
% 22.08/22.51 tff(20583,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20584,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20585,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 22.08/22.51 tff(20586,plain,
% 22.08/22.51 (until2p29(s156) | (~xuntil2p30(s155))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20585, 12739, 20153])).
% 22.08/22.51 tff(20587,plain,
% 22.08/22.51 (~xuntil2p30(s155)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20586, 20582])).
% 22.08/22.51 tff(20588,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20589,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20590,plain,
% 22.08/22.51 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s155) | xuntil2p30(s155) | (~until2p29(s155))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20589, 20588])).
% 22.08/22.51 tff(20591,plain,
% 22.08/22.51 (xuntil2p30(s155) | (~until2p29(s155))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20590, 20138, 16277])).
% 22.08/22.51 tff(20592,plain,
% 22.08/22.51 (~until2p29(s155)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20591, 20587])).
% 22.08/22.51 tff(20593,plain,
% 22.08/22.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))),
% 22.08/22.51 inference(rewrite,[status(thm)],[])).
% 22.08/22.51 tff(20594,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))),
% 22.08/22.51 inference(quant_inst,[status(thm)],[])).
% 22.08/22.51 tff(20595,plain,
% 22.08/22.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154))),
% 22.08/22.51 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 22.08/22.51 tff(20596,plain,
% 22.08/22.51 (until2p29(s155) | (~xuntil2p30(s154))),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20595, 12661, 20153])).
% 22.08/22.51 tff(20597,plain,
% 22.08/22.51 (~xuntil2p30(s154)),
% 22.08/22.51 inference(unit_resolution,[status(thm)],[20596, 20592])).
% 22.08/22.51 tff(20598,plain,
% 22.08/22.51 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20599,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20600,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s154) | xuntil2p30(s154) | (~until2p29(s154))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20599, 20598])).
% 22.08/22.52 tff(20601,plain,
% 22.08/22.52 (xuntil2p30(s154) | (~until2p29(s154))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20600, 20138, 16286])).
% 22.08/22.52 tff(20602,plain,
% 22.08/22.52 (~until2p29(s154)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20601, 20597])).
% 22.08/22.52 tff(20603,plain,
% 22.08/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20604,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20605,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 22.08/22.52 tff(20606,plain,
% 22.08/22.52 (until2p29(s154) | (~xuntil2p30(s153))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20605, 12562, 20153])).
% 22.08/22.52 tff(20607,plain,
% 22.08/22.52 (~xuntil2p30(s153)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20606, 20602])).
% 22.08/22.52 tff(20608,plain,
% 22.08/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20609,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20610,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s153) | xuntil2p30(s153) | (~until2p29(s153))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20609, 20608])).
% 22.08/22.52 tff(20611,plain,
% 22.08/22.52 (xuntil2p30(s153) | (~until2p29(s153))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20610, 20138, 16290])).
% 22.08/22.52 tff(20612,plain,
% 22.08/22.52 (~until2p29(s153)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20611, 20607])).
% 22.08/22.52 tff(20613,plain,
% 22.08/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20614,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20615,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 22.08/22.52 tff(20616,plain,
% 22.08/22.52 (until2p29(s153) | (~xuntil2p30(s152))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20615, 12495, 20153])).
% 22.08/22.52 tff(20617,plain,
% 22.08/22.52 (~xuntil2p30(s152)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20616, 20612])).
% 22.08/22.52 tff(20618,plain,
% 22.08/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20619,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20620,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s152) | xuntil2p30(s152) | (~until2p29(s152))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 22.08/22.52 tff(20621,plain,
% 22.08/22.52 (xuntil2p30(s152) | (~until2p29(s152))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20620, 20138, 19470])).
% 22.08/22.52 tff(20622,plain,
% 22.08/22.52 (~until2p29(s152)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20621, 20617])).
% 22.08/22.52 tff(20623,plain,
% 22.08/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20624,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20625,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20624, 20623])).
% 22.08/22.52 tff(20626,plain,
% 22.08/22.52 (until2p29(s152) | (~xuntil2p30(s151))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20625, 12406, 20153])).
% 22.08/22.52 tff(20627,plain,
% 22.08/22.52 (~xuntil2p30(s151)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20626, 20622])).
% 22.08/22.52 tff(20628,plain,
% 22.08/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20629,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20630,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s151) | xuntil2p30(s151) | (~until2p29(s151))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 22.08/22.52 tff(20631,plain,
% 22.08/22.52 (xuntil2p30(s151) | (~until2p29(s151))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20630, 20138, 16306])).
% 22.08/22.52 tff(20632,plain,
% 22.08/22.52 (~until2p29(s151)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20631, 20627])).
% 22.08/22.52 tff(20633,plain,
% 22.08/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20634,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20635,plain,
% 22.08/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150))),
% 22.08/22.52 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 22.08/22.52 tff(20636,plain,
% 22.08/22.52 (until2p29(s151) | (~xuntil2p30(s150))),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20635, 12331, 20153])).
% 22.08/22.52 tff(20637,plain,
% 22.08/22.52 (~xuntil2p30(s150)),
% 22.08/22.52 inference(unit_resolution,[status(thm)],[20636, 20632])).
% 22.08/22.52 tff(20638,plain,
% 22.08/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))),
% 22.08/22.52 inference(rewrite,[status(thm)],[])).
% 22.08/22.52 tff(20639,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))),
% 22.08/22.52 inference(quant_inst,[status(thm)],[])).
% 22.08/22.52 tff(20640,plain,
% 22.08/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s150) | xuntil2p30(s150) | (~until2p29(s150))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20639, 20638])).
% 22.16/22.52 tff(20641,plain,
% 22.16/22.52 (xuntil2p30(s150) | (~until2p29(s150))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20640, 20138, 16315])).
% 22.16/22.52 tff(20642,plain,
% 22.16/22.52 (~until2p29(s150)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20641, 20637])).
% 22.16/22.52 tff(20643,plain,
% 22.16/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20644,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20645,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20644, 20643])).
% 22.16/22.52 tff(20646,plain,
% 22.16/22.52 (until2p29(s150) | (~xuntil2p30(s149))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20645, 12267, 20153])).
% 22.16/22.52 tff(20647,plain,
% 22.16/22.52 (~xuntil2p30(s149)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20646, 20642])).
% 22.16/22.52 tff(20648,plain,
% 22.16/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20649,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20650,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s149) | xuntil2p30(s149) | (~until2p29(s149))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 22.16/22.52 tff(20651,plain,
% 22.16/22.52 (xuntil2p30(s149) | (~until2p29(s149))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20650, 20138, 16319])).
% 22.16/22.52 tff(20652,plain,
% 22.16/22.52 (~until2p29(s149)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20651, 20647])).
% 22.16/22.52 tff(20653,plain,
% 22.16/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20654,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20655,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20654, 20653])).
% 22.16/22.52 tff(20656,plain,
% 22.16/22.52 (until2p29(s149) | (~xuntil2p30(s148))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20655, 12172, 20153])).
% 22.16/22.52 tff(20657,plain,
% 22.16/22.52 (~xuntil2p30(s148)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20656, 20652])).
% 22.16/22.52 tff(20658,plain,
% 22.16/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20659,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20660,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s148) | xuntil2p30(s148) | (~until2p29(s148))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20659, 20658])).
% 22.16/22.52 tff(20661,plain,
% 22.16/22.52 (xuntil2p30(s148) | (~until2p29(s148))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20660, 20138, 19416])).
% 22.16/22.52 tff(20662,plain,
% 22.16/22.52 (~until2p29(s148)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20661, 20657])).
% 22.16/22.52 tff(20663,plain,
% 22.16/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20664,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20665,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20664, 20663])).
% 22.16/22.52 tff(20666,plain,
% 22.16/22.52 (until2p29(s148) | (~xuntil2p30(s147))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20665, 12111, 20153])).
% 22.16/22.52 tff(20667,plain,
% 22.16/22.52 (~xuntil2p30(s147)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20666, 20662])).
% 22.16/22.52 tff(20668,plain,
% 22.16/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20669,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20670,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s147) | xuntil2p30(s147) | (~until2p29(s147))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20669, 20668])).
% 22.16/22.52 tff(20671,plain,
% 22.16/22.52 (xuntil2p30(s147) | (~until2p29(s147))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20670, 20138, 16335])).
% 22.16/22.52 tff(20672,plain,
% 22.16/22.52 (~until2p29(s147)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20671, 20667])).
% 22.16/22.52 tff(20673,plain,
% 22.16/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20674,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20675,plain,
% 22.16/22.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 22.16/22.52 tff(20676,plain,
% 22.16/22.52 (until2p29(s147) | (~xuntil2p30(s146))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20675, 12033, 20153])).
% 22.16/22.52 tff(20677,plain,
% 22.16/22.52 (~xuntil2p30(s146)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20676, 20672])).
% 22.16/22.52 tff(20678,plain,
% 22.16/22.52 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))),
% 22.16/22.52 inference(rewrite,[status(thm)],[])).
% 22.16/22.52 tff(20679,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))),
% 22.16/22.52 inference(quant_inst,[status(thm)],[])).
% 22.16/22.52 tff(20680,plain,
% 22.16/22.52 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s146) | xuntil2p30(s146) | (~until2p29(s146))),
% 22.16/22.52 inference(modus_ponens,[status(thm)],[20679, 20678])).
% 22.16/22.52 tff(20681,plain,
% 22.16/22.52 (xuntil2p30(s146) | (~until2p29(s146))),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20680, 20138, 16344])).
% 22.16/22.52 tff(20682,plain,
% 22.16/22.52 (~until2p29(s146)),
% 22.16/22.52 inference(unit_resolution,[status(thm)],[20681, 20677])).
% 22.16/22.52 tff(20683,plain,
% 22.16/22.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20684,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20685,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20684, 20683])).
% 22.16/22.53 tff(20686,plain,
% 22.16/22.53 (until2p29(s146) | (~xuntil2p30(s145))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20685, 11934, 20153])).
% 22.16/22.53 tff(20687,plain,
% 22.16/22.53 (~xuntil2p30(s145)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20686, 20682])).
% 22.16/22.53 tff(20688,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20689,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20690,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s145) | xuntil2p30(s145) | (~until2p29(s145))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20689, 20688])).
% 22.16/22.53 tff(20691,plain,
% 22.16/22.53 (xuntil2p30(s145) | (~until2p29(s145))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20690, 20138, 16348])).
% 22.16/22.53 tff(20692,plain,
% 22.16/22.53 (~until2p29(s145)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20691, 20687])).
% 22.16/22.53 tff(20693,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20694,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20695,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20694, 20693])).
% 22.16/22.53 tff(20696,plain,
% 22.16/22.53 (until2p29(s145) | (~xuntil2p30(s144))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20695, 11867, 20153])).
% 22.16/22.53 tff(20697,plain,
% 22.16/22.53 (~xuntil2p30(s144)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20696, 20692])).
% 22.16/22.53 tff(20698,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20699,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20700,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s144) | xuntil2p30(s144) | (~until2p29(s144))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 22.16/22.53 tff(20701,plain,
% 22.16/22.53 (xuntil2p30(s144) | (~until2p29(s144))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20700, 20138, 19362])).
% 22.16/22.53 tff(20702,plain,
% 22.16/22.53 (~until2p29(s144)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20701, 20697])).
% 22.16/22.53 tff(20703,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20704,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20705,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 22.16/22.53 tff(20706,plain,
% 22.16/22.53 (until2p29(s144) | (~xuntil2p30(s143))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20705, 11778, 20153])).
% 22.16/22.53 tff(20707,plain,
% 22.16/22.53 (~xuntil2p30(s143)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20706, 20702])).
% 22.16/22.53 tff(20708,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20709,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20710,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s143) | xuntil2p30(s143) | (~until2p29(s143))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 22.16/22.53 tff(20711,plain,
% 22.16/22.53 (xuntil2p30(s143) | (~until2p29(s143))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20710, 20138, 16364])).
% 22.16/22.53 tff(20712,plain,
% 22.16/22.53 (~until2p29(s143)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20711, 20707])).
% 22.16/22.53 tff(20713,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20714,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20715,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20714, 20713])).
% 22.16/22.53 tff(20716,plain,
% 22.16/22.53 (until2p29(s143) | (~xuntil2p30(s142))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20715, 11703, 20153])).
% 22.16/22.53 tff(20717,plain,
% 22.16/22.53 (~xuntil2p30(s142)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20716, 20712])).
% 22.16/22.53 tff(20718,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20719,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20720,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s142) | xuntil2p30(s142) | (~until2p29(s142))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 22.16/22.53 tff(20721,plain,
% 22.16/22.53 (xuntil2p30(s142) | (~until2p29(s142))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20720, 20138, 16373])).
% 22.16/22.53 tff(20722,plain,
% 22.16/22.53 (~until2p29(s142)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20721, 20717])).
% 22.16/22.53 tff(20723,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20724,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20725,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20724, 20723])).
% 22.16/22.53 tff(20726,plain,
% 22.16/22.53 (until2p29(s142) | (~xuntil2p30(s141))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20725, 11639, 20153])).
% 22.16/22.53 tff(20727,plain,
% 22.16/22.53 (~xuntil2p30(s141)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20726, 20722])).
% 22.16/22.53 tff(20728,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20729,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20730,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s141) | xuntil2p30(s141) | (~until2p29(s141))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 22.16/22.53 tff(20731,plain,
% 22.16/22.53 (xuntil2p30(s141) | (~until2p29(s141))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20730, 20138, 16377])).
% 22.16/22.53 tff(20732,plain,
% 22.16/22.53 (~until2p29(s141)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20731, 20727])).
% 22.16/22.53 tff(20733,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20734,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20735,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20734, 20733])).
% 22.16/22.53 tff(20736,plain,
% 22.16/22.53 (until2p29(s141) | (~xuntil2p30(s140))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20735, 11544, 20153])).
% 22.16/22.53 tff(20737,plain,
% 22.16/22.53 (~xuntil2p30(s140)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20736, 20732])).
% 22.16/22.53 tff(20738,plain,
% 22.16/22.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20739,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20740,plain,
% 22.16/22.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s140) | xuntil2p30(s140) | (~until2p29(s140))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20739, 20738])).
% 22.16/22.53 tff(20741,plain,
% 22.16/22.53 (xuntil2p30(s140) | (~until2p29(s140))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20740, 20138, 19308])).
% 22.16/22.53 tff(20742,plain,
% 22.16/22.53 (~until2p29(s140)),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20741, 20737])).
% 22.16/22.53 tff(20743,plain,
% 22.16/22.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))),
% 22.16/22.53 inference(rewrite,[status(thm)],[])).
% 22.16/22.53 tff(20744,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))),
% 22.16/22.53 inference(quant_inst,[status(thm)],[])).
% 22.16/22.53 tff(20745,plain,
% 22.16/22.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139))),
% 22.16/22.53 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 22.16/22.53 tff(20746,plain,
% 22.16/22.53 (until2p29(s140) | (~xuntil2p30(s139))),
% 22.16/22.53 inference(unit_resolution,[status(thm)],[20745, 11483, 20153])).
% 22.16/22.53 tff(20747,plain,
% 22.16/22.53 (~xuntil2p30(s139)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20746, 20742])).
% 22.16/22.54 tff(20748,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20749,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20750,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s139) | xuntil2p30(s139) | (~until2p29(s139))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 22.16/22.54 tff(20751,plain,
% 22.16/22.54 (xuntil2p30(s139) | (~until2p29(s139))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20750, 20138, 16393])).
% 22.16/22.54 tff(20752,plain,
% 22.16/22.54 (~until2p29(s139)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20751, 20747])).
% 22.16/22.54 tff(20753,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20754,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20755,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 22.16/22.54 tff(20756,plain,
% 22.16/22.54 (until2p29(s139) | (~xuntil2p30(s138))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20755, 11405, 20153])).
% 22.16/22.54 tff(20757,plain,
% 22.16/22.54 (~xuntil2p30(s138)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20756, 20752])).
% 22.16/22.54 tff(20758,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20759,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20760,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s138) | xuntil2p30(s138) | (~until2p29(s138))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20759, 20758])).
% 22.16/22.54 tff(20761,plain,
% 22.16/22.54 (xuntil2p30(s138) | (~until2p29(s138))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20760, 20138, 16402])).
% 22.16/22.54 tff(20762,plain,
% 22.16/22.54 (~until2p29(s138)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20761, 20757])).
% 22.16/22.54 tff(20763,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20764,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20765,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20764, 20763])).
% 22.16/22.54 tff(20766,plain,
% 22.16/22.54 (until2p29(s138) | (~xuntil2p30(s137))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20765, 11306, 20153])).
% 22.16/22.54 tff(20767,plain,
% 22.16/22.54 (~xuntil2p30(s137)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20766, 20762])).
% 22.16/22.54 tff(20768,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20769,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20770,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s137) | xuntil2p30(s137) | (~until2p29(s137))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20769, 20768])).
% 22.16/22.54 tff(20771,plain,
% 22.16/22.54 (xuntil2p30(s137) | (~until2p29(s137))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20770, 20138, 16406])).
% 22.16/22.54 tff(20772,plain,
% 22.16/22.54 (~until2p29(s137)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20771, 20767])).
% 22.16/22.54 tff(20773,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20774,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20775,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20774, 20773])).
% 22.16/22.54 tff(20776,plain,
% 22.16/22.54 (until2p29(s137) | (~xuntil2p30(s136))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20775, 11239, 20153])).
% 22.16/22.54 tff(20777,plain,
% 22.16/22.54 (~xuntil2p30(s136)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20776, 20772])).
% 22.16/22.54 tff(20778,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20779,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20780,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s136) | xuntil2p30(s136) | (~until2p29(s136))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 22.16/22.54 tff(20781,plain,
% 22.16/22.54 (xuntil2p30(s136) | (~until2p29(s136))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20780, 20138, 19254])).
% 22.16/22.54 tff(20782,plain,
% 22.16/22.54 (~until2p29(s136)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20781, 20777])).
% 22.16/22.54 tff(20783,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20784,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20785,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20784, 20783])).
% 22.16/22.54 tff(20786,plain,
% 22.16/22.54 (until2p29(s136) | (~xuntil2p30(s135))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20785, 11150, 20153])).
% 22.16/22.54 tff(20787,plain,
% 22.16/22.54 (~xuntil2p30(s135)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20786, 20782])).
% 22.16/22.54 tff(20788,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20789,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20790,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s135) | xuntil2p30(s135) | (~until2p29(s135))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 22.16/22.54 tff(20791,plain,
% 22.16/22.54 (xuntil2p30(s135) | (~until2p29(s135))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20790, 20138, 16422])).
% 22.16/22.54 tff(20792,plain,
% 22.16/22.54 (~until2p29(s135)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20791, 20787])).
% 22.16/22.54 tff(20793,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20794,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20795,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20794, 20793])).
% 22.16/22.54 tff(20796,plain,
% 22.16/22.54 (until2p29(s135) | (~xuntil2p30(s134))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20795, 11075, 20153])).
% 22.16/22.54 tff(20797,plain,
% 22.16/22.54 (~xuntil2p30(s134)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20796, 20792])).
% 22.16/22.54 tff(20798,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20799,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20800,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s134) | xuntil2p30(s134) | (~until2p29(s134))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20799, 20798])).
% 22.16/22.54 tff(20801,plain,
% 22.16/22.54 (xuntil2p30(s134) | (~until2p29(s134))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20800, 20138, 16431])).
% 22.16/22.54 tff(20802,plain,
% 22.16/22.54 (~until2p29(s134)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20801, 20797])).
% 22.16/22.54 tff(20803,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20804,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20805,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20804, 20803])).
% 22.16/22.54 tff(20806,plain,
% 22.16/22.54 (until2p29(s134) | (~xuntil2p30(s133))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20805, 11011, 20153])).
% 22.16/22.54 tff(20807,plain,
% 22.16/22.54 (~xuntil2p30(s133)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20806, 20802])).
% 22.16/22.54 tff(20808,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20809,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20810,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s133) | xuntil2p30(s133) | (~until2p29(s133))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 22.16/22.54 tff(20811,plain,
% 22.16/22.54 (xuntil2p30(s133) | (~until2p29(s133))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20810, 20138, 16435])).
% 22.16/22.54 tff(20812,plain,
% 22.16/22.54 (~until2p29(s133)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20811, 20807])).
% 22.16/22.54 tff(20813,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20814,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20815,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 22.16/22.54 tff(20816,plain,
% 22.16/22.54 (until2p29(s133) | (~xuntil2p30(s132))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20815, 10916, 20153])).
% 22.16/22.54 tff(20817,plain,
% 22.16/22.54 (~xuntil2p30(s132)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20816, 20812])).
% 22.16/22.54 tff(20818,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20819,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20820,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s132) | xuntil2p30(s132) | (~until2p29(s132))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 22.16/22.54 tff(20821,plain,
% 22.16/22.54 (xuntil2p30(s132) | (~until2p29(s132))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20820, 20138, 19200])).
% 22.16/22.54 tff(20822,plain,
% 22.16/22.54 (~until2p29(s132)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20821, 20817])).
% 22.16/22.54 tff(20823,plain,
% 22.16/22.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20824,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20825,plain,
% 22.16/22.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 22.16/22.54 tff(20826,plain,
% 22.16/22.54 (until2p29(s132) | (~xuntil2p30(s131))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20825, 10855, 20153])).
% 22.16/22.54 tff(20827,plain,
% 22.16/22.54 (~xuntil2p30(s131)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20826, 20822])).
% 22.16/22.54 tff(20828,plain,
% 22.16/22.54 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))),
% 22.16/22.54 inference(rewrite,[status(thm)],[])).
% 22.16/22.54 tff(20829,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))),
% 22.16/22.54 inference(quant_inst,[status(thm)],[])).
% 22.16/22.54 tff(20830,plain,
% 22.16/22.54 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s131) | xuntil2p30(s131) | (~until2p29(s131))),
% 22.16/22.54 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 22.16/22.54 tff(20831,plain,
% 22.16/22.54 (xuntil2p30(s131) | (~until2p29(s131))),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20830, 20138, 16451])).
% 22.16/22.54 tff(20832,plain,
% 22.16/22.54 (~until2p29(s131)),
% 22.16/22.54 inference(unit_resolution,[status(thm)],[20831, 20827])).
% 22.16/22.54 tff(20833,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20834,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20835,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 22.16/22.55 tff(20836,plain,
% 22.16/22.55 (until2p29(s131) | (~xuntil2p30(s130))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20835, 10777, 20153])).
% 22.16/22.55 tff(20837,plain,
% 22.16/22.55 (~xuntil2p30(s130)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20836, 20832])).
% 22.16/22.55 tff(20838,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20839,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20840,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s130) | xuntil2p30(s130) | (~until2p29(s130))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 22.16/22.55 tff(20841,plain,
% 22.16/22.55 (xuntil2p30(s130) | (~until2p29(s130))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20840, 20138, 16460])).
% 22.16/22.55 tff(20842,plain,
% 22.16/22.55 (~until2p29(s130)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20841, 20837])).
% 22.16/22.55 tff(20843,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20844,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20845,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 22.16/22.55 tff(20846,plain,
% 22.16/22.55 (until2p29(s130) | (~xuntil2p30(s129))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20845, 10678, 20153])).
% 22.16/22.55 tff(20847,plain,
% 22.16/22.55 (~xuntil2p30(s129)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20846, 20842])).
% 22.16/22.55 tff(20848,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20849,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20850,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s129) | xuntil2p30(s129) | (~until2p29(s129))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20849, 20848])).
% 22.16/22.55 tff(20851,plain,
% 22.16/22.55 (xuntil2p30(s129) | (~until2p29(s129))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20850, 20138, 16464])).
% 22.16/22.55 tff(20852,plain,
% 22.16/22.55 (~until2p29(s129)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20851, 20847])).
% 22.16/22.55 tff(20853,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20854,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20855,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 22.16/22.55 tff(20856,plain,
% 22.16/22.55 (until2p29(s129) | (~xuntil2p30(s128))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20855, 10611, 20153])).
% 22.16/22.55 tff(20857,plain,
% 22.16/22.55 (~xuntil2p30(s128)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20856, 20852])).
% 22.16/22.55 tff(20858,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20859,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20860,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s128) | xuntil2p30(s128) | (~until2p29(s128))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 22.16/22.55 tff(20861,plain,
% 22.16/22.55 (xuntil2p30(s128) | (~until2p29(s128))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20860, 20138, 19146])).
% 22.16/22.55 tff(20862,plain,
% 22.16/22.55 (~until2p29(s128)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20861, 20857])).
% 22.16/22.55 tff(20863,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20864,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20865,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 22.16/22.55 tff(20866,plain,
% 22.16/22.55 (until2p29(s128) | (~xuntil2p30(s127))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20865, 10522, 20153])).
% 22.16/22.55 tff(20867,plain,
% 22.16/22.55 (~xuntil2p30(s127)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20866, 20862])).
% 22.16/22.55 tff(20868,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20869,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20870,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s127) | xuntil2p30(s127) | (~until2p29(s127))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20869, 20868])).
% 22.16/22.55 tff(20871,plain,
% 22.16/22.55 (xuntil2p30(s127) | (~until2p29(s127))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20870, 20138, 16480])).
% 22.16/22.55 tff(20872,plain,
% 22.16/22.55 (~until2p29(s127)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20871, 20867])).
% 22.16/22.55 tff(20873,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20874,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20875,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20874, 20873])).
% 22.16/22.55 tff(20876,plain,
% 22.16/22.55 (until2p29(s127) | (~xuntil2p30(s126))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20875, 10447, 20153])).
% 22.16/22.55 tff(20877,plain,
% 22.16/22.55 (~xuntil2p30(s126)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20876, 20872])).
% 22.16/22.55 tff(20878,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20879,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20880,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s126) | xuntil2p30(s126) | (~until2p29(s126))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 22.16/22.55 tff(20881,plain,
% 22.16/22.55 (xuntil2p30(s126) | (~until2p29(s126))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20880, 20138, 16489])).
% 22.16/22.55 tff(20882,plain,
% 22.16/22.55 (~until2p29(s126)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20881, 20877])).
% 22.16/22.55 tff(20883,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20884,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20885,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20884, 20883])).
% 22.16/22.55 tff(20886,plain,
% 22.16/22.55 (until2p29(s126) | (~xuntil2p30(s125))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20885, 10383, 20153])).
% 22.16/22.55 tff(20887,plain,
% 22.16/22.55 (~xuntil2p30(s125)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20886, 20882])).
% 22.16/22.55 tff(20888,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20889,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20890,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s125) | xuntil2p30(s125) | (~until2p29(s125))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 22.16/22.55 tff(20891,plain,
% 22.16/22.55 (xuntil2p30(s125) | (~until2p29(s125))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20890, 20138, 16493])).
% 22.16/22.55 tff(20892,plain,
% 22.16/22.55 (~until2p29(s125)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20891, 20887])).
% 22.16/22.55 tff(20893,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20894,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20895,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 22.16/22.55 tff(20896,plain,
% 22.16/22.55 (until2p29(s125) | (~xuntil2p30(s124))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20895, 10288, 20153])).
% 22.16/22.55 tff(20897,plain,
% 22.16/22.55 (~xuntil2p30(s124)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20896, 20892])).
% 22.16/22.55 tff(20898,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20899,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20900,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s124) | xuntil2p30(s124) | (~until2p29(s124))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 22.16/22.55 tff(20901,plain,
% 22.16/22.55 (xuntil2p30(s124) | (~until2p29(s124))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20900, 20138, 19092])).
% 22.16/22.55 tff(20902,plain,
% 22.16/22.55 (~until2p29(s124)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20901, 20897])).
% 22.16/22.55 tff(20903,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20904,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20905,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 22.16/22.55 tff(20906,plain,
% 22.16/22.55 (until2p29(s124) | (~xuntil2p30(s123))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20905, 10227, 20153])).
% 22.16/22.55 tff(20907,plain,
% 22.16/22.55 (~xuntil2p30(s123)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20906, 20902])).
% 22.16/22.55 tff(20908,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20909,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20910,plain,
% 22.16/22.55 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s123) | xuntil2p30(s123) | (~until2p29(s123))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 22.16/22.55 tff(20911,plain,
% 22.16/22.55 (xuntil2p30(s123) | (~until2p29(s123))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20910, 20138, 16509])).
% 22.16/22.55 tff(20912,plain,
% 22.16/22.55 (~until2p29(s123)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20911, 20907])).
% 22.16/22.55 tff(20913,plain,
% 22.16/22.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))),
% 22.16/22.55 inference(rewrite,[status(thm)],[])).
% 22.16/22.55 tff(20914,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))),
% 22.16/22.55 inference(quant_inst,[status(thm)],[])).
% 22.16/22.55 tff(20915,plain,
% 22.16/22.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122))),
% 22.16/22.55 inference(modus_ponens,[status(thm)],[20914, 20913])).
% 22.16/22.55 tff(20916,plain,
% 22.16/22.55 (until2p29(s123) | (~xuntil2p30(s122))),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20915, 10149, 20153])).
% 22.16/22.55 tff(20917,plain,
% 22.16/22.55 (~xuntil2p30(s122)),
% 22.16/22.55 inference(unit_resolution,[status(thm)],[20916, 20912])).
% 22.16/22.55 tff(20918,plain,
% 22.16/22.55 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20919,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20920,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s122) | xuntil2p30(s122) | (~until2p29(s122))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 22.16/22.56 tff(20921,plain,
% 22.16/22.56 (xuntil2p30(s122) | (~until2p29(s122))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20920, 20138, 16518])).
% 22.16/22.56 tff(20922,plain,
% 22.16/22.56 (~until2p29(s122)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20921, 20917])).
% 22.16/22.56 tff(20923,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20924,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20925,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 22.16/22.56 tff(20926,plain,
% 22.16/22.56 (until2p29(s122) | (~xuntil2p30(s121))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20925, 10050, 20153])).
% 22.16/22.56 tff(20927,plain,
% 22.16/22.56 (~xuntil2p30(s121)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20926, 20922])).
% 22.16/22.56 tff(20928,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20929,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20930,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s121) | xuntil2p30(s121) | (~until2p29(s121))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 22.16/22.56 tff(20931,plain,
% 22.16/22.56 (xuntil2p30(s121) | (~until2p29(s121))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20930, 20138, 16522])).
% 22.16/22.56 tff(20932,plain,
% 22.16/22.56 (~until2p29(s121)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20931, 20927])).
% 22.16/22.56 tff(20933,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20934,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20935,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 22.16/22.56 tff(20936,plain,
% 22.16/22.56 (until2p29(s121) | (~xuntil2p30(s120))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20935, 9983, 20153])).
% 22.16/22.56 tff(20937,plain,
% 22.16/22.56 (~xuntil2p30(s120)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20936, 20932])).
% 22.16/22.56 tff(20938,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20939,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20940,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s120) | xuntil2p30(s120) | (~until2p29(s120))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20939, 20938])).
% 22.16/22.56 tff(20941,plain,
% 22.16/22.56 (xuntil2p30(s120) | (~until2p29(s120))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20940, 20138, 19038])).
% 22.16/22.56 tff(20942,plain,
% 22.16/22.56 (~until2p29(s120)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20941, 20937])).
% 22.16/22.56 tff(20943,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20944,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20945,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 22.16/22.56 tff(20946,plain,
% 22.16/22.56 (until2p29(s120) | (~xuntil2p30(s119))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20945, 9894, 20153])).
% 22.16/22.56 tff(20947,plain,
% 22.16/22.56 (~xuntil2p30(s119)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20946, 20942])).
% 22.16/22.56 tff(20948,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20949,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20950,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s119) | xuntil2p30(s119) | (~until2p29(s119))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 22.16/22.56 tff(20951,plain,
% 22.16/22.56 (xuntil2p30(s119) | (~until2p29(s119))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20950, 20138, 16538])).
% 22.16/22.56 tff(20952,plain,
% 22.16/22.56 (~until2p29(s119)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20951, 20947])).
% 22.16/22.56 tff(20953,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20954,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20955,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 22.16/22.56 tff(20956,plain,
% 22.16/22.56 (until2p29(s119) | (~xuntil2p30(s118))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20955, 9819, 20153])).
% 22.16/22.56 tff(20957,plain,
% 22.16/22.56 (~xuntil2p30(s118)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20956, 20952])).
% 22.16/22.56 tff(20958,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20959,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20960,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s118) | xuntil2p30(s118) | (~until2p29(s118))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 22.16/22.56 tff(20961,plain,
% 22.16/22.56 (xuntil2p30(s118) | (~until2p29(s118))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20960, 20138, 16547])).
% 22.16/22.56 tff(20962,plain,
% 22.16/22.56 (~until2p29(s118)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20961, 20957])).
% 22.16/22.56 tff(20963,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20964,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20965,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 22.16/22.56 tff(20966,plain,
% 22.16/22.56 (until2p29(s118) | (~xuntil2p30(s117))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20965, 9755, 20153])).
% 22.16/22.56 tff(20967,plain,
% 22.16/22.56 (~xuntil2p30(s117)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20966, 20962])).
% 22.16/22.56 tff(20968,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20969,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20970,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s117) | xuntil2p30(s117) | (~until2p29(s117))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 22.16/22.56 tff(20971,plain,
% 22.16/22.56 (xuntil2p30(s117) | (~until2p29(s117))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20970, 20138, 16551])).
% 22.16/22.56 tff(20972,plain,
% 22.16/22.56 (~until2p29(s117)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20971, 20967])).
% 22.16/22.56 tff(20973,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20974,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20975,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 22.16/22.56 tff(20976,plain,
% 22.16/22.56 (until2p29(s117) | (~xuntil2p30(s116))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20975, 9660, 20153])).
% 22.16/22.56 tff(20977,plain,
% 22.16/22.56 (~xuntil2p30(s116)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20976, 20972])).
% 22.16/22.56 tff(20978,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20979,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20980,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s116) | xuntil2p30(s116) | (~until2p29(s116))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 22.16/22.56 tff(20981,plain,
% 22.16/22.56 (xuntil2p30(s116) | (~until2p29(s116))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20980, 20138, 18984])).
% 22.16/22.56 tff(20982,plain,
% 22.16/22.56 (~until2p29(s116)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20981, 20977])).
% 22.16/22.56 tff(20983,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20984,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20985,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 22.16/22.56 tff(20986,plain,
% 22.16/22.56 (until2p29(s116) | (~xuntil2p30(s115))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20985, 9599, 20153])).
% 22.16/22.56 tff(20987,plain,
% 22.16/22.56 (~xuntil2p30(s115)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20986, 20982])).
% 22.16/22.56 tff(20988,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20989,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20990,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s115) | xuntil2p30(s115) | (~until2p29(s115))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 22.16/22.56 tff(20991,plain,
% 22.16/22.56 (xuntil2p30(s115) | (~until2p29(s115))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20990, 20138, 16567])).
% 22.16/22.56 tff(20992,plain,
% 22.16/22.56 (~until2p29(s115)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20991, 20987])).
% 22.16/22.56 tff(20993,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20994,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(20995,plain,
% 22.16/22.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 22.16/22.56 tff(20996,plain,
% 22.16/22.56 (until2p29(s115) | (~xuntil2p30(s114))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20995, 9521, 20153])).
% 22.16/22.56 tff(20997,plain,
% 22.16/22.56 (~xuntil2p30(s114)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[20996, 20992])).
% 22.16/22.56 tff(20998,plain,
% 22.16/22.56 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))),
% 22.16/22.56 inference(rewrite,[status(thm)],[])).
% 22.16/22.56 tff(20999,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))),
% 22.16/22.56 inference(quant_inst,[status(thm)],[])).
% 22.16/22.56 tff(21000,plain,
% 22.16/22.56 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s114) | xuntil2p30(s114) | (~until2p29(s114))),
% 22.16/22.56 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 22.16/22.56 tff(21001,plain,
% 22.16/22.56 (xuntil2p30(s114) | (~until2p29(s114))),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[21000, 20138, 16576])).
% 22.16/22.56 tff(21002,plain,
% 22.16/22.56 (~until2p29(s114)),
% 22.16/22.56 inference(unit_resolution,[status(thm)],[21001, 20997])).
% 22.16/22.56 tff(21003,plain,
% 22.16/22.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21004,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21005,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 22.16/22.57 tff(21006,plain,
% 22.16/22.57 (until2p29(s114) | (~xuntil2p30(s113))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21005, 9422, 20153])).
% 22.16/22.57 tff(21007,plain,
% 22.16/22.57 (~xuntil2p30(s113)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21006, 21002])).
% 22.16/22.57 tff(21008,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21009,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21010,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s113) | xuntil2p30(s113) | (~until2p29(s113))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 22.16/22.57 tff(21011,plain,
% 22.16/22.57 (xuntil2p30(s113) | (~until2p29(s113))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21010, 20138, 16580])).
% 22.16/22.57 tff(21012,plain,
% 22.16/22.57 (~until2p29(s113)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21011, 21007])).
% 22.16/22.57 tff(21013,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21014,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21015,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 22.16/22.57 tff(21016,plain,
% 22.16/22.57 (until2p29(s113) | (~xuntil2p30(s112))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21015, 9355, 20153])).
% 22.16/22.57 tff(21017,plain,
% 22.16/22.57 (~xuntil2p30(s112)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21016, 21012])).
% 22.16/22.57 tff(21018,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21019,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21020,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s112) | xuntil2p30(s112) | (~until2p29(s112))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 22.16/22.57 tff(21021,plain,
% 22.16/22.57 (xuntil2p30(s112) | (~until2p29(s112))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21020, 20138, 18930])).
% 22.16/22.57 tff(21022,plain,
% 22.16/22.57 (~until2p29(s112)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21021, 21017])).
% 22.16/22.57 tff(21023,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21024,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21025,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21024, 21023])).
% 22.16/22.57 tff(21026,plain,
% 22.16/22.57 (until2p29(s112) | (~xuntil2p30(s111))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21025, 9266, 20153])).
% 22.16/22.57 tff(21027,plain,
% 22.16/22.57 (~xuntil2p30(s111)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21026, 21022])).
% 22.16/22.57 tff(21028,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21029,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21030,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s111) | xuntil2p30(s111) | (~until2p29(s111))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 22.16/22.57 tff(21031,plain,
% 22.16/22.57 (xuntil2p30(s111) | (~until2p29(s111))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21030, 20138, 16596])).
% 22.16/22.57 tff(21032,plain,
% 22.16/22.57 (~until2p29(s111)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21031, 21027])).
% 22.16/22.57 tff(21033,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21034,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21035,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 22.16/22.57 tff(21036,plain,
% 22.16/22.57 (until2p29(s111) | (~xuntil2p30(s110))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21035, 9191, 20153])).
% 22.16/22.57 tff(21037,plain,
% 22.16/22.57 (~xuntil2p30(s110)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21036, 21032])).
% 22.16/22.57 tff(21038,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21039,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21040,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s110) | xuntil2p30(s110) | (~until2p29(s110))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21039, 21038])).
% 22.16/22.57 tff(21041,plain,
% 22.16/22.57 (xuntil2p30(s110) | (~until2p29(s110))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21040, 20138, 16605])).
% 22.16/22.57 tff(21042,plain,
% 22.16/22.57 (~until2p29(s110)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21041, 21037])).
% 22.16/22.57 tff(21043,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21044,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21045,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 22.16/22.57 tff(21046,plain,
% 22.16/22.57 (until2p29(s110) | (~xuntil2p30(s109))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21045, 9127, 20153])).
% 22.16/22.57 tff(21047,plain,
% 22.16/22.57 (~xuntil2p30(s109)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21046, 21042])).
% 22.16/22.57 tff(21048,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21049,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21050,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s109) | xuntil2p30(s109) | (~until2p29(s109))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 22.16/22.57 tff(21051,plain,
% 22.16/22.57 (xuntil2p30(s109) | (~until2p29(s109))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21050, 20138, 16609])).
% 22.16/22.57 tff(21052,plain,
% 22.16/22.57 (~until2p29(s109)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21051, 21047])).
% 22.16/22.57 tff(21053,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21054,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21055,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 22.16/22.57 tff(21056,plain,
% 22.16/22.57 (until2p29(s109) | (~xuntil2p30(s108))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21055, 9032, 20153])).
% 22.16/22.57 tff(21057,plain,
% 22.16/22.57 (~xuntil2p30(s108)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21056, 21052])).
% 22.16/22.57 tff(21058,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21059,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21060,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s108) | xuntil2p30(s108) | (~until2p29(s108))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 22.16/22.57 tff(21061,plain,
% 22.16/22.57 (xuntil2p30(s108) | (~until2p29(s108))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21060, 20138, 18876])).
% 22.16/22.57 tff(21062,plain,
% 22.16/22.57 (~until2p29(s108)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21061, 21057])).
% 22.16/22.57 tff(21063,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21064,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21065,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 22.16/22.57 tff(21066,plain,
% 22.16/22.57 (until2p29(s108) | (~xuntil2p30(s107))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21065, 8971, 20153])).
% 22.16/22.57 tff(21067,plain,
% 22.16/22.57 (~xuntil2p30(s107)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21066, 21062])).
% 22.16/22.57 tff(21068,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21069,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21070,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s107) | xuntil2p30(s107) | (~until2p29(s107))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 22.16/22.57 tff(21071,plain,
% 22.16/22.57 (xuntil2p30(s107) | (~until2p29(s107))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21070, 20138, 16625])).
% 22.16/22.57 tff(21072,plain,
% 22.16/22.57 (~until2p29(s107)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21071, 21067])).
% 22.16/22.57 tff(21073,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21074,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21075,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 22.16/22.57 tff(21076,plain,
% 22.16/22.57 (until2p29(s107) | (~xuntil2p30(s106))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21075, 8893, 20153])).
% 22.16/22.57 tff(21077,plain,
% 22.16/22.57 (~xuntil2p30(s106)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21076, 21072])).
% 22.16/22.57 tff(21078,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21079,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21080,plain,
% 22.16/22.57 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s106) | xuntil2p30(s106) | (~until2p29(s106))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 22.16/22.57 tff(21081,plain,
% 22.16/22.57 (xuntil2p30(s106) | (~until2p29(s106))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21080, 20138, 16634])).
% 22.16/22.57 tff(21082,plain,
% 22.16/22.57 (~until2p29(s106)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21081, 21077])).
% 22.16/22.57 tff(21083,plain,
% 22.16/22.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))),
% 22.16/22.57 inference(rewrite,[status(thm)],[])).
% 22.16/22.57 tff(21084,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))),
% 22.16/22.57 inference(quant_inst,[status(thm)],[])).
% 22.16/22.57 tff(21085,plain,
% 22.16/22.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105))),
% 22.16/22.57 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 22.16/22.57 tff(21086,plain,
% 22.16/22.57 (until2p29(s106) | (~xuntil2p30(s105))),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21085, 8794, 20153])).
% 22.16/22.57 tff(21087,plain,
% 22.16/22.57 (~xuntil2p30(s105)),
% 22.16/22.57 inference(unit_resolution,[status(thm)],[21086, 21082])).
% 22.16/22.57 tff(21088,plain,
% 22.16/22.57 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21089,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21090,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s105) | xuntil2p30(s105) | (~until2p29(s105))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21089, 21088])).
% 22.16/22.58 tff(21091,plain,
% 22.16/22.58 (xuntil2p30(s105) | (~until2p29(s105))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21090, 20138, 16638])).
% 22.16/22.58 tff(21092,plain,
% 22.16/22.58 (~until2p29(s105)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21091, 21087])).
% 22.16/22.58 tff(21093,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21094,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21095,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21094, 21093])).
% 22.16/22.58 tff(21096,plain,
% 22.16/22.58 (until2p29(s105) | (~xuntil2p30(s104))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21095, 8727, 20153])).
% 22.16/22.58 tff(21097,plain,
% 22.16/22.58 (~xuntil2p30(s104)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21096, 21092])).
% 22.16/22.58 tff(21098,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21099,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21100,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s104) | xuntil2p30(s104) | (~until2p29(s104))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 22.16/22.58 tff(21101,plain,
% 22.16/22.58 (xuntil2p30(s104) | (~until2p29(s104))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21100, 20138, 18822])).
% 22.16/22.58 tff(21102,plain,
% 22.16/22.58 (~until2p29(s104)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21101, 21097])).
% 22.16/22.58 tff(21103,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21104,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21105,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21104, 21103])).
% 22.16/22.58 tff(21106,plain,
% 22.16/22.58 (until2p29(s104) | (~xuntil2p30(s103))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21105, 8638, 20153])).
% 22.16/22.58 tff(21107,plain,
% 22.16/22.58 (~xuntil2p30(s103)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21106, 21102])).
% 22.16/22.58 tff(21108,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21109,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21110,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s103) | xuntil2p30(s103) | (~until2p29(s103))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 22.16/22.58 tff(21111,plain,
% 22.16/22.58 (xuntil2p30(s103) | (~until2p29(s103))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21110, 20138, 16654])).
% 22.16/22.58 tff(21112,plain,
% 22.16/22.58 (~until2p29(s103)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21111, 21107])).
% 22.16/22.58 tff(21113,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21114,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21115,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 22.16/22.58 tff(21116,plain,
% 22.16/22.58 (until2p29(s103) | (~xuntil2p30(s102))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21115, 8563, 20153])).
% 22.16/22.58 tff(21117,plain,
% 22.16/22.58 (~xuntil2p30(s102)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21116, 21112])).
% 22.16/22.58 tff(21118,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21119,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21120,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s102) | xuntil2p30(s102) | (~until2p29(s102))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 22.16/22.58 tff(21121,plain,
% 22.16/22.58 (xuntil2p30(s102) | (~until2p29(s102))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21120, 20138, 16663])).
% 22.16/22.58 tff(21122,plain,
% 22.16/22.58 (~until2p29(s102)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21121, 21117])).
% 22.16/22.58 tff(21123,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21124,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21125,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21124, 21123])).
% 22.16/22.58 tff(21126,plain,
% 22.16/22.58 (until2p29(s102) | (~xuntil2p30(s101))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21125, 8499, 20153])).
% 22.16/22.58 tff(21127,plain,
% 22.16/22.58 (~xuntil2p30(s101)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21126, 21122])).
% 22.16/22.58 tff(21128,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21129,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21130,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s101) | xuntil2p30(s101) | (~until2p29(s101))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21129, 21128])).
% 22.16/22.58 tff(21131,plain,
% 22.16/22.58 (xuntil2p30(s101) | (~until2p29(s101))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21130, 20138, 16667])).
% 22.16/22.58 tff(21132,plain,
% 22.16/22.58 (~until2p29(s101)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21131, 21127])).
% 22.16/22.58 tff(21133,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21134,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21135,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 22.16/22.58 tff(21136,plain,
% 22.16/22.58 (until2p29(s101) | (~xuntil2p30(s100))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21135, 8404, 20153])).
% 22.16/22.58 tff(21137,plain,
% 22.16/22.58 (~xuntil2p30(s100)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21136, 21132])).
% 22.16/22.58 tff(21138,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21139,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21140,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s100) | xuntil2p30(s100) | (~until2p29(s100))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 22.16/22.58 tff(21141,plain,
% 22.16/22.58 (xuntil2p30(s100) | (~until2p29(s100))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21140, 20138, 18768])).
% 22.16/22.58 tff(21142,plain,
% 22.16/22.58 (~until2p29(s100)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21141, 21137])).
% 22.16/22.58 tff(21143,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21144,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21145,plain,
% 22.16/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 22.16/22.58 tff(21146,plain,
% 22.16/22.58 (until2p29(s100) | (~xuntil2p30(s99))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21145, 8343, 20153])).
% 22.16/22.58 tff(21147,plain,
% 22.16/22.58 (~xuntil2p30(s99)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21146, 21142])).
% 22.16/22.58 tff(21148,plain,
% 22.16/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))),
% 22.16/22.58 inference(rewrite,[status(thm)],[])).
% 22.16/22.58 tff(21149,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))),
% 22.16/22.58 inference(quant_inst,[status(thm)],[])).
% 22.16/22.58 tff(21150,plain,
% 22.16/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s99) | xuntil2p30(s99) | (~until2p29(s99))),
% 22.16/22.58 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 22.16/22.58 tff(21151,plain,
% 22.16/22.58 (xuntil2p30(s99) | (~until2p29(s99))),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21150, 20138, 16683])).
% 22.16/22.58 tff(21152,plain,
% 22.16/22.58 (~until2p29(s99)),
% 22.16/22.58 inference(unit_resolution,[status(thm)],[21151, 21147])).
% 22.16/22.58 tff(21153,plain,
% 22.16/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))),
% 22.23/22.58 inference(rewrite,[status(thm)],[])).
% 22.23/22.58 tff(21154,plain,
% 22.23/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))),
% 22.23/22.58 inference(quant_inst,[status(thm)],[])).
% 22.23/22.58 tff(21155,plain,
% 22.23/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98))),
% 22.23/22.58 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 22.23/22.58 tff(21156,plain,
% 22.23/22.58 (until2p29(s99) | (~xuntil2p30(s98))),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21155, 8265, 20153])).
% 22.23/22.58 tff(21157,plain,
% 22.23/22.58 (~xuntil2p30(s98)),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21156, 21152])).
% 22.23/22.58 tff(21158,plain,
% 22.23/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))),
% 22.23/22.58 inference(rewrite,[status(thm)],[])).
% 22.23/22.58 tff(21159,plain,
% 22.23/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))),
% 22.23/22.58 inference(quant_inst,[status(thm)],[])).
% 22.23/22.58 tff(21160,plain,
% 22.23/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s98) | xuntil2p30(s98) | (~until2p29(s98))),
% 22.23/22.58 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 22.23/22.58 tff(21161,plain,
% 22.23/22.58 (xuntil2p30(s98) | (~until2p29(s98))),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21160, 20138, 16692])).
% 22.23/22.58 tff(21162,plain,
% 22.23/22.58 (~until2p29(s98)),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21161, 21157])).
% 22.23/22.58 tff(21163,plain,
% 22.23/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))),
% 22.23/22.58 inference(rewrite,[status(thm)],[])).
% 22.23/22.58 tff(21164,plain,
% 22.23/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))),
% 22.23/22.58 inference(quant_inst,[status(thm)],[])).
% 22.23/22.58 tff(21165,plain,
% 22.23/22.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97))),
% 22.23/22.58 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 22.23/22.58 tff(21166,plain,
% 22.23/22.58 (until2p29(s98) | (~xuntil2p30(s97))),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21165, 8166, 20153])).
% 22.23/22.58 tff(21167,plain,
% 22.23/22.58 (~xuntil2p30(s97)),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21166, 21162])).
% 22.23/22.58 tff(21168,plain,
% 22.23/22.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))),
% 22.23/22.58 inference(rewrite,[status(thm)],[])).
% 22.23/22.58 tff(21169,plain,
% 22.23/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))),
% 22.23/22.58 inference(quant_inst,[status(thm)],[])).
% 22.23/22.58 tff(21170,plain,
% 22.23/22.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s97) | xuntil2p30(s97) | (~until2p29(s97))),
% 22.23/22.58 inference(modus_ponens,[status(thm)],[21169, 21168])).
% 22.23/22.58 tff(21171,plain,
% 22.23/22.58 (xuntil2p30(s97) | (~until2p29(s97))),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21170, 20138, 16696])).
% 22.23/22.58 tff(21172,plain,
% 22.23/22.58 (~until2p29(s97)),
% 22.23/22.58 inference(unit_resolution,[status(thm)],[21171, 21167])).
% 22.23/22.58 tff(21173,plain,
% 22.23/22.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))),
% 22.23/22.58 inference(rewrite,[status(thm)],[])).
% 22.23/22.58 tff(21174,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21175,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 22.23/22.59 tff(21176,plain,
% 22.23/22.59 (until2p29(s97) | (~xuntil2p30(s96))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21175, 8099, 20153])).
% 22.23/22.59 tff(21177,plain,
% 22.23/22.59 (~xuntil2p30(s96)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21176, 21172])).
% 22.23/22.59 tff(21178,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21179,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21180,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s96) | xuntil2p30(s96) | (~until2p29(s96))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 22.23/22.59 tff(21181,plain,
% 22.23/22.59 (xuntil2p30(s96) | (~until2p29(s96))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21180, 20138, 18714])).
% 22.23/22.59 tff(21182,plain,
% 22.23/22.59 (~until2p29(s96)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21181, 21177])).
% 22.23/22.59 tff(21183,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21184,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21185,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 22.23/22.59 tff(21186,plain,
% 22.23/22.59 (until2p29(s96) | (~xuntil2p30(s95))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21185, 8010, 20153])).
% 22.23/22.59 tff(21187,plain,
% 22.23/22.59 (~xuntil2p30(s95)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21186, 21182])).
% 22.23/22.59 tff(21188,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21189,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21190,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s95) | xuntil2p30(s95) | (~until2p29(s95))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21189, 21188])).
% 22.23/22.59 tff(21191,plain,
% 22.23/22.59 (xuntil2p30(s95) | (~until2p29(s95))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21190, 20138, 16712])).
% 22.23/22.59 tff(21192,plain,
% 22.23/22.59 (~until2p29(s95)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21191, 21187])).
% 22.23/22.59 tff(21193,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21194,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21195,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 22.23/22.59 tff(21196,plain,
% 22.23/22.59 (until2p29(s95) | (~xuntil2p30(s94))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21195, 7935, 20153])).
% 22.23/22.59 tff(21197,plain,
% 22.23/22.59 (~xuntil2p30(s94)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21196, 21192])).
% 22.23/22.59 tff(21198,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21199,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21200,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s94) | xuntil2p30(s94) | (~until2p29(s94))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 22.23/22.59 tff(21201,plain,
% 22.23/22.59 (xuntil2p30(s94) | (~until2p29(s94))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21200, 20138, 16721])).
% 22.23/22.59 tff(21202,plain,
% 22.23/22.59 (~until2p29(s94)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21201, 21197])).
% 22.23/22.59 tff(21203,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21204,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21205,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 22.23/22.59 tff(21206,plain,
% 22.23/22.59 (until2p29(s94) | (~xuntil2p30(s93))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21205, 7871, 20153])).
% 22.23/22.59 tff(21207,plain,
% 22.23/22.59 (~xuntil2p30(s93)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21206, 21202])).
% 22.23/22.59 tff(21208,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21209,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21210,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s93) | xuntil2p30(s93) | (~until2p29(s93))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 22.23/22.59 tff(21211,plain,
% 22.23/22.59 (xuntil2p30(s93) | (~until2p29(s93))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21210, 20138, 16725])).
% 22.23/22.59 tff(21212,plain,
% 22.23/22.59 (~until2p29(s93)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21211, 21207])).
% 22.23/22.59 tff(21213,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21214,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21215,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 22.23/22.59 tff(21216,plain,
% 22.23/22.59 (until2p29(s93) | (~xuntil2p30(s92))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21215, 7776, 20153])).
% 22.23/22.59 tff(21217,plain,
% 22.23/22.59 (~xuntil2p30(s92)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21216, 21212])).
% 22.23/22.59 tff(21218,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21219,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21220,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s92) | xuntil2p30(s92) | (~until2p29(s92))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 22.23/22.59 tff(21221,plain,
% 22.23/22.59 (xuntil2p30(s92) | (~until2p29(s92))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21220, 20138, 18660])).
% 22.23/22.59 tff(21222,plain,
% 22.23/22.59 (~until2p29(s92)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21221, 21217])).
% 22.23/22.59 tff(21223,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21224,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21225,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21224, 21223])).
% 22.23/22.59 tff(21226,plain,
% 22.23/22.59 (until2p29(s92) | (~xuntil2p30(s91))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21225, 7715, 20153])).
% 22.23/22.59 tff(21227,plain,
% 22.23/22.59 (~xuntil2p30(s91)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21226, 21222])).
% 22.23/22.59 tff(21228,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21229,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21230,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s91) | xuntil2p30(s91) | (~until2p29(s91))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 22.23/22.59 tff(21231,plain,
% 22.23/22.59 (xuntil2p30(s91) | (~until2p29(s91))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21230, 20138, 16741])).
% 22.23/22.59 tff(21232,plain,
% 22.23/22.59 (~until2p29(s91)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21231, 21227])).
% 22.23/22.59 tff(21233,plain,
% 22.23/22.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21234,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))),
% 22.23/22.59 inference(quant_inst,[status(thm)],[])).
% 22.23/22.59 tff(21235,plain,
% 22.23/22.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90))),
% 22.23/22.59 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 22.23/22.59 tff(21236,plain,
% 22.23/22.59 (until2p29(s91) | (~xuntil2p30(s90))),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21235, 7637, 20153])).
% 22.23/22.59 tff(21237,plain,
% 22.23/22.59 (~xuntil2p30(s90)),
% 22.23/22.59 inference(unit_resolution,[status(thm)],[21236, 21232])).
% 22.23/22.59 tff(21238,plain,
% 22.23/22.59 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))),
% 22.23/22.59 inference(rewrite,[status(thm)],[])).
% 22.23/22.59 tff(21239,plain,
% 22.23/22.59 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21240,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s90) | xuntil2p30(s90) | (~until2p29(s90))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21239, 21238])).
% 22.23/22.60 tff(21241,plain,
% 22.23/22.60 (xuntil2p30(s90) | (~until2p29(s90))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21240, 20138, 16750])).
% 22.23/22.60 tff(21242,plain,
% 22.23/22.60 (~until2p29(s90)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21241, 21237])).
% 22.23/22.60 tff(21243,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21244,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21245,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 22.23/22.60 tff(21246,plain,
% 22.23/22.60 (until2p29(s90) | (~xuntil2p30(s89))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21245, 7538, 20153])).
% 22.23/22.60 tff(21247,plain,
% 22.23/22.60 (~xuntil2p30(s89)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21246, 21242])).
% 22.23/22.60 tff(21248,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21249,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21250,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s89) | xuntil2p30(s89) | (~until2p29(s89))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 22.23/22.60 tff(21251,plain,
% 22.23/22.60 (xuntil2p30(s89) | (~until2p29(s89))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21250, 20138, 16754])).
% 22.23/22.60 tff(21252,plain,
% 22.23/22.60 (~until2p29(s89)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21251, 21247])).
% 22.23/22.60 tff(21253,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21254,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21255,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 22.23/22.60 tff(21256,plain,
% 22.23/22.60 (until2p29(s89) | (~xuntil2p30(s88))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21255, 7471, 20153])).
% 22.23/22.60 tff(21257,plain,
% 22.23/22.60 (~xuntil2p30(s88)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21256, 21252])).
% 22.23/22.60 tff(21258,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21259,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21260,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s88) | xuntil2p30(s88) | (~until2p29(s88))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 22.23/22.60 tff(21261,plain,
% 22.23/22.60 (xuntil2p30(s88) | (~until2p29(s88))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21260, 20138, 18606])).
% 22.23/22.60 tff(21262,plain,
% 22.23/22.60 (~until2p29(s88)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21261, 21257])).
% 22.23/22.60 tff(21263,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21264,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21265,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 22.23/22.60 tff(21266,plain,
% 22.23/22.60 (until2p29(s88) | (~xuntil2p30(s87))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21265, 7382, 20153])).
% 22.23/22.60 tff(21267,plain,
% 22.23/22.60 (~xuntil2p30(s87)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21266, 21262])).
% 22.23/22.60 tff(21268,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21269,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21270,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s87) | xuntil2p30(s87) | (~until2p29(s87))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 22.23/22.60 tff(21271,plain,
% 22.23/22.60 (xuntil2p30(s87) | (~until2p29(s87))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21270, 20138, 16770])).
% 22.23/22.60 tff(21272,plain,
% 22.23/22.60 (~until2p29(s87)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21271, 21267])).
% 22.23/22.60 tff(21273,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21274,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21275,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 22.23/22.60 tff(21276,plain,
% 22.23/22.60 (until2p29(s87) | (~xuntil2p30(s86))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21275, 7307, 20153])).
% 22.23/22.60 tff(21277,plain,
% 22.23/22.60 (~xuntil2p30(s86)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21276, 21272])).
% 22.23/22.60 tff(21278,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21279,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21280,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s86) | xuntil2p30(s86) | (~until2p29(s86))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 22.23/22.60 tff(21281,plain,
% 22.23/22.60 (xuntil2p30(s86) | (~until2p29(s86))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21280, 20138, 16779])).
% 22.23/22.60 tff(21282,plain,
% 22.23/22.60 (~until2p29(s86)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21281, 21277])).
% 22.23/22.60 tff(21283,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21284,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21285,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 22.23/22.60 tff(21286,plain,
% 22.23/22.60 (until2p29(s86) | (~xuntil2p30(s85))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21285, 7243, 20153])).
% 22.23/22.60 tff(21287,plain,
% 22.23/22.60 (~xuntil2p30(s85)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21286, 21282])).
% 22.23/22.60 tff(21288,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21289,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21290,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s85) | xuntil2p30(s85) | (~until2p29(s85))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 22.23/22.60 tff(21291,plain,
% 22.23/22.60 (xuntil2p30(s85) | (~until2p29(s85))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21290, 20138, 16783])).
% 22.23/22.60 tff(21292,plain,
% 22.23/22.60 (~until2p29(s85)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21291, 21287])).
% 22.23/22.60 tff(21293,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21294,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21295,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 22.23/22.60 tff(21296,plain,
% 22.23/22.60 (until2p29(s85) | (~xuntil2p30(s84))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21295, 7148, 20153])).
% 22.23/22.60 tff(21297,plain,
% 22.23/22.60 (~xuntil2p30(s84)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21296, 21292])).
% 22.23/22.60 tff(21298,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21299,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21300,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s84) | xuntil2p30(s84) | (~until2p29(s84))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 22.23/22.60 tff(21301,plain,
% 22.23/22.60 (xuntil2p30(s84) | (~until2p29(s84))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21300, 20138, 18552])).
% 22.23/22.60 tff(21302,plain,
% 22.23/22.60 (~until2p29(s84)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21301, 21297])).
% 22.23/22.60 tff(21303,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21304,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21305,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 22.23/22.60 tff(21306,plain,
% 22.23/22.60 (until2p29(s84) | (~xuntil2p30(s83))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21305, 7087, 20153])).
% 22.23/22.60 tff(21307,plain,
% 22.23/22.60 (~xuntil2p30(s83)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21306, 21302])).
% 22.23/22.60 tff(21308,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21309,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21310,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s83) | xuntil2p30(s83) | (~until2p29(s83))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21309, 21308])).
% 22.23/22.60 tff(21311,plain,
% 22.23/22.60 (xuntil2p30(s83) | (~until2p29(s83))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21310, 20138, 16799])).
% 22.23/22.60 tff(21312,plain,
% 22.23/22.60 (~until2p29(s83)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21311, 21307])).
% 22.23/22.60 tff(21313,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21314,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21315,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21314, 21313])).
% 22.23/22.60 tff(21316,plain,
% 22.23/22.60 (until2p29(s83) | (~xuntil2p30(s82))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21315, 7009, 20153])).
% 22.23/22.60 tff(21317,plain,
% 22.23/22.60 (~xuntil2p30(s82)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21316, 21312])).
% 22.23/22.60 tff(21318,plain,
% 22.23/22.60 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21319,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21320,plain,
% 22.23/22.60 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s82) | xuntil2p30(s82) | (~until2p29(s82))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 22.23/22.60 tff(21321,plain,
% 22.23/22.60 (xuntil2p30(s82) | (~until2p29(s82))),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21320, 20138, 16808])).
% 22.23/22.60 tff(21322,plain,
% 22.23/22.60 (~until2p29(s82)),
% 22.23/22.60 inference(unit_resolution,[status(thm)],[21321, 21317])).
% 22.23/22.60 tff(21323,plain,
% 22.23/22.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))),
% 22.23/22.60 inference(rewrite,[status(thm)],[])).
% 22.23/22.60 tff(21324,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))),
% 22.23/22.60 inference(quant_inst,[status(thm)],[])).
% 22.23/22.60 tff(21325,plain,
% 22.23/22.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81))),
% 22.23/22.60 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 22.23/22.61 tff(21326,plain,
% 22.23/22.61 (until2p29(s82) | (~xuntil2p30(s81))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21325, 6910, 20153])).
% 22.23/22.61 tff(21327,plain,
% 22.23/22.61 (~xuntil2p30(s81)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21326, 21322])).
% 22.23/22.61 tff(21328,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21329,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21330,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s81) | xuntil2p30(s81) | (~until2p29(s81))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 22.23/22.61 tff(21331,plain,
% 22.23/22.61 (xuntil2p30(s81) | (~until2p29(s81))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21330, 20138, 16812])).
% 22.23/22.61 tff(21332,plain,
% 22.23/22.61 (~until2p29(s81)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21331, 21327])).
% 22.23/22.61 tff(21333,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21334,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21335,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 22.23/22.61 tff(21336,plain,
% 22.23/22.61 (until2p29(s81) | (~xuntil2p30(s80))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21335, 6843, 20153])).
% 22.23/22.61 tff(21337,plain,
% 22.23/22.61 (~xuntil2p30(s80)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21336, 21332])).
% 22.23/22.61 tff(21338,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21339,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21340,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s80) | xuntil2p30(s80) | (~until2p29(s80))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 22.23/22.61 tff(21341,plain,
% 22.23/22.61 (xuntil2p30(s80) | (~until2p29(s80))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21340, 20138, 18498])).
% 22.23/22.61 tff(21342,plain,
% 22.23/22.61 (~until2p29(s80)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21341, 21337])).
% 22.23/22.61 tff(21343,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21344,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21345,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21344, 21343])).
% 22.23/22.61 tff(21346,plain,
% 22.23/22.61 (until2p29(s80) | (~xuntil2p30(s79))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21345, 6754, 20153])).
% 22.23/22.61 tff(21347,plain,
% 22.23/22.61 (~xuntil2p30(s79)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21346, 21342])).
% 22.23/22.61 tff(21348,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21349,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21350,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s79) | xuntil2p30(s79) | (~until2p29(s79))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 22.23/22.61 tff(21351,plain,
% 22.23/22.61 (xuntil2p30(s79) | (~until2p29(s79))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21350, 20138, 16828])).
% 22.23/22.61 tff(21352,plain,
% 22.23/22.61 (~until2p29(s79)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21351, 21347])).
% 22.23/22.61 tff(21353,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21354,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21355,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21354, 21353])).
% 22.23/22.61 tff(21356,plain,
% 22.23/22.61 (until2p29(s79) | (~xuntil2p30(s78))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21355, 6679, 20153])).
% 22.23/22.61 tff(21357,plain,
% 22.23/22.61 (~xuntil2p30(s78)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21356, 21352])).
% 22.23/22.61 tff(21358,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21359,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21360,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s78) | xuntil2p30(s78) | (~until2p29(s78))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21359, 21358])).
% 22.23/22.61 tff(21361,plain,
% 22.23/22.61 (xuntil2p30(s78) | (~until2p29(s78))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21360, 20138, 16837])).
% 22.23/22.61 tff(21362,plain,
% 22.23/22.61 (~until2p29(s78)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21361, 21357])).
% 22.23/22.61 tff(21363,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21364,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21365,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21364, 21363])).
% 22.23/22.61 tff(21366,plain,
% 22.23/22.61 (until2p29(s78) | (~xuntil2p30(s77))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21365, 6615, 20153])).
% 22.23/22.61 tff(21367,plain,
% 22.23/22.61 (~xuntil2p30(s77)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21366, 21362])).
% 22.23/22.61 tff(21368,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21369,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21370,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s77) | xuntil2p30(s77) | (~until2p29(s77))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 22.23/22.61 tff(21371,plain,
% 22.23/22.61 (xuntil2p30(s77) | (~until2p29(s77))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21370, 20138, 16841])).
% 22.23/22.61 tff(21372,plain,
% 22.23/22.61 (~until2p29(s77)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21371, 21367])).
% 22.23/22.61 tff(21373,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21374,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21375,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 22.23/22.61 tff(21376,plain,
% 22.23/22.61 (until2p29(s77) | (~xuntil2p30(s76))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21375, 6520, 20153])).
% 22.23/22.61 tff(21377,plain,
% 22.23/22.61 (~xuntil2p30(s76)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21376, 21372])).
% 22.23/22.61 tff(21378,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21379,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21380,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s76) | xuntil2p30(s76) | (~until2p29(s76))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 22.23/22.61 tff(21381,plain,
% 22.23/22.61 (xuntil2p30(s76) | (~until2p29(s76))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21380, 20138, 18444])).
% 22.23/22.61 tff(21382,plain,
% 22.23/22.61 (~until2p29(s76)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21381, 21377])).
% 22.23/22.61 tff(21383,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21384,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21385,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21384, 21383])).
% 22.23/22.61 tff(21386,plain,
% 22.23/22.61 (until2p29(s76) | (~xuntil2p30(s75))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21385, 6459, 20153])).
% 22.23/22.61 tff(21387,plain,
% 22.23/22.61 (~xuntil2p30(s75)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21386, 21382])).
% 22.23/22.61 tff(21388,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21389,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21390,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s75) | xuntil2p30(s75) | (~until2p29(s75))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 22.23/22.61 tff(21391,plain,
% 22.23/22.61 (xuntil2p30(s75) | (~until2p29(s75))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21390, 20138, 16857])).
% 22.23/22.61 tff(21392,plain,
% 22.23/22.61 (~until2p29(s75)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21391, 21387])).
% 22.23/22.61 tff(21393,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21394,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21395,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 22.23/22.61 tff(21396,plain,
% 22.23/22.61 (until2p29(s75) | (~xuntil2p30(s74))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21395, 6381, 20153])).
% 22.23/22.61 tff(21397,plain,
% 22.23/22.61 (~xuntil2p30(s74)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21396, 21392])).
% 22.23/22.61 tff(21398,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21399,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21400,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s74) | xuntil2p30(s74) | (~until2p29(s74))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 22.23/22.61 tff(21401,plain,
% 22.23/22.61 (xuntil2p30(s74) | (~until2p29(s74))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21400, 20138, 16866])).
% 22.23/22.61 tff(21402,plain,
% 22.23/22.61 (~until2p29(s74)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21401, 21397])).
% 22.23/22.61 tff(21403,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21404,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21405,plain,
% 22.23/22.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 22.23/22.61 tff(21406,plain,
% 22.23/22.61 (until2p29(s74) | (~xuntil2p30(s73))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21405, 6282, 20153])).
% 22.23/22.61 tff(21407,plain,
% 22.23/22.61 (~xuntil2p30(s73)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21406, 21402])).
% 22.23/22.61 tff(21408,plain,
% 22.23/22.61 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))),
% 22.23/22.61 inference(rewrite,[status(thm)],[])).
% 22.23/22.61 tff(21409,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))),
% 22.23/22.61 inference(quant_inst,[status(thm)],[])).
% 22.23/22.61 tff(21410,plain,
% 22.23/22.61 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s73) | xuntil2p30(s73) | (~until2p29(s73))),
% 22.23/22.61 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 22.23/22.61 tff(21411,plain,
% 22.23/22.61 (xuntil2p30(s73) | (~until2p29(s73))),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21410, 20138, 16870])).
% 22.23/22.61 tff(21412,plain,
% 22.23/22.61 (~until2p29(s73)),
% 22.23/22.61 inference(unit_resolution,[status(thm)],[21411, 21407])).
% 22.23/22.61 tff(21413,plain,
% 22.23/22.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21414,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21415,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21414, 21413])).
% 22.23/22.62 tff(21416,plain,
% 22.23/22.62 (until2p29(s73) | (~xuntil2p30(s72))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21415, 6215, 20153])).
% 22.23/22.62 tff(21417,plain,
% 22.23/22.62 (~xuntil2p30(s72)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21416, 21412])).
% 22.23/22.62 tff(21418,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21419,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21420,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s72) | xuntil2p30(s72) | (~until2p29(s72))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 22.23/22.62 tff(21421,plain,
% 22.23/22.62 (xuntil2p30(s72) | (~until2p29(s72))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21420, 20138, 18390])).
% 22.23/22.62 tff(21422,plain,
% 22.23/22.62 (~until2p29(s72)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21421, 21417])).
% 22.23/22.62 tff(21423,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21424,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21425,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21424, 21423])).
% 22.23/22.62 tff(21426,plain,
% 22.23/22.62 (until2p29(s72) | (~xuntil2p30(s71))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21425, 6086, 20153])).
% 22.23/22.62 tff(21427,plain,
% 22.23/22.62 (~xuntil2p30(s71)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21426, 21422])).
% 22.23/22.62 tff(21428,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21429,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21430,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s71) | xuntil2p30(s71) | (~until2p29(s71))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 22.23/22.62 tff(21431,plain,
% 22.23/22.62 (xuntil2p30(s71) | (~until2p29(s71))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21430, 20138, 16879])).
% 22.23/22.62 tff(21432,plain,
% 22.23/22.62 (~until2p29(s71)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21431, 21427])).
% 22.23/22.62 tff(21433,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21434,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21435,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 22.23/22.62 tff(21436,plain,
% 22.23/22.62 (until2p29(s71) | (~xuntil2p30(s70))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21435, 6008, 20153])).
% 22.23/22.62 tff(21437,plain,
% 22.23/22.62 (~xuntil2p30(s70)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21436, 21432])).
% 22.23/22.62 tff(21438,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21439,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21440,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s70) | xuntil2p30(s70) | (~until2p29(s70))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 22.23/22.62 tff(21441,plain,
% 22.23/22.62 (xuntil2p30(s70) | (~until2p29(s70))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21440, 20138, 16888])).
% 22.23/22.62 tff(21442,plain,
% 22.23/22.62 (~until2p29(s70)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21441, 21437])).
% 22.23/22.62 tff(21443,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21444,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21445,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 22.23/22.62 tff(21446,plain,
% 22.23/22.62 (until2p29(s70) | (~xuntil2p30(s69))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21445, 5909, 20153])).
% 22.23/22.62 tff(21447,plain,
% 22.23/22.62 (~xuntil2p30(s69)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21446, 21442])).
% 22.23/22.62 tff(21448,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21449,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21450,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s69) | xuntil2p30(s69) | (~until2p29(s69))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 22.23/22.62 tff(21451,plain,
% 22.23/22.62 (xuntil2p30(s69) | (~until2p29(s69))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21450, 20138, 16892])).
% 22.23/22.62 tff(21452,plain,
% 22.23/22.62 (~until2p29(s69)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21451, 21447])).
% 22.23/22.62 tff(21453,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21454,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21455,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 22.23/22.62 tff(21456,plain,
% 22.23/22.62 (until2p29(s69) | (~xuntil2p30(s68))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21455, 5842, 20153])).
% 22.23/22.62 tff(21457,plain,
% 22.23/22.62 (~xuntil2p30(s68)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21456, 21452])).
% 22.23/22.62 tff(21458,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21459,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21460,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s68) | xuntil2p30(s68) | (~until2p29(s68))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 22.23/22.62 tff(21461,plain,
% 22.23/22.62 (xuntil2p30(s68) | (~until2p29(s68))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21460, 20138, 18336])).
% 22.23/22.62 tff(21462,plain,
% 22.23/22.62 (~until2p29(s68)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21461, 21457])).
% 22.23/22.62 tff(21463,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21464,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21465,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 22.23/22.62 tff(21466,plain,
% 22.23/22.62 (until2p29(s68) | (~xuntil2p30(s67))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21465, 5753, 20153])).
% 22.23/22.62 tff(21467,plain,
% 22.23/22.62 (~xuntil2p30(s67)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21466, 21462])).
% 22.23/22.62 tff(21468,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21469,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21470,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s67) | xuntil2p30(s67) | (~until2p29(s67))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 22.23/22.62 tff(21471,plain,
% 22.23/22.62 (xuntil2p30(s67) | (~until2p29(s67))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21470, 20138, 16908])).
% 22.23/22.62 tff(21472,plain,
% 22.23/22.62 (~until2p29(s67)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21471, 21467])).
% 22.23/22.62 tff(21473,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21474,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21475,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 22.23/22.62 tff(21476,plain,
% 22.23/22.62 (until2p29(s67) | (~xuntil2p30(s66))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21475, 5678, 20153])).
% 22.23/22.62 tff(21477,plain,
% 22.23/22.62 (~xuntil2p30(s66)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21476, 21472])).
% 22.23/22.62 tff(21478,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21479,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21480,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s66) | xuntil2p30(s66) | (~until2p29(s66))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 22.23/22.62 tff(21481,plain,
% 22.23/22.62 (xuntil2p30(s66) | (~until2p29(s66))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21480, 20138, 16917])).
% 22.23/22.62 tff(21482,plain,
% 22.23/22.62 (~until2p29(s66)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21481, 21477])).
% 22.23/22.62 tff(21483,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21484,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21485,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 22.23/22.62 tff(21486,plain,
% 22.23/22.62 (until2p29(s66) | (~xuntil2p30(s65))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21485, 5614, 20153])).
% 22.23/22.62 tff(21487,plain,
% 22.23/22.62 (~xuntil2p30(s65)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21486, 21482])).
% 22.23/22.62 tff(21488,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21489,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21490,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s65) | xuntil2p30(s65) | (~until2p29(s65))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 22.23/22.62 tff(21491,plain,
% 22.23/22.62 (xuntil2p30(s65) | (~until2p29(s65))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21490, 20138, 16921])).
% 22.23/22.62 tff(21492,plain,
% 22.23/22.62 (~until2p29(s65)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21491, 21487])).
% 22.23/22.62 tff(21493,plain,
% 22.23/22.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21494,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.62 tff(21495,plain,
% 22.23/22.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64))),
% 22.23/22.62 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 22.23/22.62 tff(21496,plain,
% 22.23/22.62 (until2p29(s65) | (~xuntil2p30(s64))),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21495, 5519, 20153])).
% 22.23/22.62 tff(21497,plain,
% 22.23/22.62 (~xuntil2p30(s64)),
% 22.23/22.62 inference(unit_resolution,[status(thm)],[21496, 21492])).
% 22.23/22.62 tff(21498,plain,
% 22.23/22.62 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 22.23/22.62 inference(rewrite,[status(thm)],[])).
% 22.23/22.62 tff(21499,plain,
% 22.23/22.62 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 22.23/22.62 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21500,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 22.23/22.63 tff(21501,plain,
% 22.23/22.63 (xuntil2p30(s64) | (~until2p29(s64))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21500, 20138, 18282])).
% 22.23/22.63 tff(21502,plain,
% 22.23/22.63 (~until2p29(s64)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21501, 21497])).
% 22.23/22.63 tff(21503,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21504,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21505,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 22.23/22.63 tff(21506,plain,
% 22.23/22.63 (until2p29(s64) | (~xuntil2p30(s63))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21505, 5458, 20153])).
% 22.23/22.63 tff(21507,plain,
% 22.23/22.63 (~xuntil2p30(s63)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21506, 21502])).
% 22.23/22.63 tff(21508,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21509,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21510,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 22.23/22.63 tff(21511,plain,
% 22.23/22.63 (xuntil2p30(s63) | (~until2p29(s63))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21510, 20138, 16937])).
% 22.23/22.63 tff(21512,plain,
% 22.23/22.63 (~until2p29(s63)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21511, 21507])).
% 22.23/22.63 tff(21513,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21514,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21515,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21514, 21513])).
% 22.23/22.63 tff(21516,plain,
% 22.23/22.63 (until2p29(s63) | (~xuntil2p30(s62))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21515, 5380, 20153])).
% 22.23/22.63 tff(21517,plain,
% 22.23/22.63 (~xuntil2p30(s62)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21516, 21512])).
% 22.23/22.63 tff(21518,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21519,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21520,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 22.23/22.63 tff(21521,plain,
% 22.23/22.63 (xuntil2p30(s62) | (~until2p29(s62))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21520, 20138, 16946])).
% 22.23/22.63 tff(21522,plain,
% 22.23/22.63 (~until2p29(s62)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21521, 21517])).
% 22.23/22.63 tff(21523,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21524,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21525,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 22.23/22.63 tff(21526,plain,
% 22.23/22.63 (until2p29(s62) | (~xuntil2p30(s61))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21525, 5281, 20153])).
% 22.23/22.63 tff(21527,plain,
% 22.23/22.63 (~xuntil2p30(s61)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21526, 21522])).
% 22.23/22.63 tff(21528,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21529,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21530,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21529, 21528])).
% 22.23/22.63 tff(21531,plain,
% 22.23/22.63 (xuntil2p30(s61) | (~until2p29(s61))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21530, 20138, 16950])).
% 22.23/22.63 tff(21532,plain,
% 22.23/22.63 (~until2p29(s61)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21531, 21527])).
% 22.23/22.63 tff(21533,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21534,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21535,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 22.23/22.63 tff(21536,plain,
% 22.23/22.63 (until2p29(s61) | (~xuntil2p30(s60))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21535, 5214, 20153])).
% 22.23/22.63 tff(21537,plain,
% 22.23/22.63 (~xuntil2p30(s60)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21536, 21532])).
% 22.23/22.63 tff(21538,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21539,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21540,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 22.23/22.63 tff(21541,plain,
% 22.23/22.63 (xuntil2p30(s60) | (~until2p29(s60))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21540, 20138, 18228])).
% 22.23/22.63 tff(21542,plain,
% 22.23/22.63 (~until2p29(s60)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21541, 21537])).
% 22.23/22.63 tff(21543,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21544,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21545,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21544, 21543])).
% 22.23/22.63 tff(21546,plain,
% 22.23/22.63 (until2p29(s60) | (~xuntil2p30(s59))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21545, 5125, 20153])).
% 22.23/22.63 tff(21547,plain,
% 22.23/22.63 (~xuntil2p30(s59)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21546, 21542])).
% 22.23/22.63 tff(21548,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21549,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21550,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 22.23/22.63 tff(21551,plain,
% 22.23/22.63 (xuntil2p30(s59) | (~until2p29(s59))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21550, 20138, 16966])).
% 22.23/22.63 tff(21552,plain,
% 22.23/22.63 (~until2p29(s59)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21551, 21547])).
% 22.23/22.63 tff(21553,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21554,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21555,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 22.23/22.63 tff(21556,plain,
% 22.23/22.63 (until2p29(s59) | (~xuntil2p30(s58))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21555, 5050, 20153])).
% 22.23/22.63 tff(21557,plain,
% 22.23/22.63 (~xuntil2p30(s58)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21556, 21552])).
% 22.23/22.63 tff(21558,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21559,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21560,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 22.23/22.63 tff(21561,plain,
% 22.23/22.63 (xuntil2p30(s58) | (~until2p29(s58))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21560, 20138, 16975])).
% 22.23/22.63 tff(21562,plain,
% 22.23/22.63 (~until2p29(s58)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21561, 21557])).
% 22.23/22.63 tff(21563,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21564,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21565,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21564, 21563])).
% 22.23/22.63 tff(21566,plain,
% 22.23/22.63 (until2p29(s58) | (~xuntil2p30(s57))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21565, 4986, 20153])).
% 22.23/22.63 tff(21567,plain,
% 22.23/22.63 (~xuntil2p30(s57)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21566, 21562])).
% 22.23/22.63 tff(21568,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21569,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21570,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 22.23/22.63 tff(21571,plain,
% 22.23/22.63 (xuntil2p30(s57) | (~until2p29(s57))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21570, 20138, 16979])).
% 22.23/22.63 tff(21572,plain,
% 22.23/22.63 (~until2p29(s57)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21571, 21567])).
% 22.23/22.63 tff(21573,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21574,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21575,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21574, 21573])).
% 22.23/22.63 tff(21576,plain,
% 22.23/22.63 (until2p29(s57) | (~xuntil2p30(s56))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21575, 4891, 20153])).
% 22.23/22.63 tff(21577,plain,
% 22.23/22.63 (~xuntil2p30(s56)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21576, 21572])).
% 22.23/22.63 tff(21578,plain,
% 22.23/22.63 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21579,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21580,plain,
% 22.23/22.63 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21579, 21578])).
% 22.23/22.63 tff(21581,plain,
% 22.23/22.63 (xuntil2p30(s56) | (~until2p29(s56))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21580, 20138, 18174])).
% 22.23/22.63 tff(21582,plain,
% 22.23/22.63 (~until2p29(s56)),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21581, 21577])).
% 22.23/22.63 tff(21583,plain,
% 22.23/22.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 22.23/22.63 inference(rewrite,[status(thm)],[])).
% 22.23/22.63 tff(21584,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 22.23/22.63 inference(quant_inst,[status(thm)],[])).
% 22.23/22.63 tff(21585,plain,
% 22.23/22.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55))),
% 22.23/22.63 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 22.23/22.63 tff(21586,plain,
% 22.23/22.63 (until2p29(s56) | (~xuntil2p30(s55))),
% 22.23/22.63 inference(unit_resolution,[status(thm)],[21585, 4830, 20153])).
% 22.23/22.64 tff(21587,plain,
% 22.23/22.64 (~xuntil2p30(s55)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21586, 21582])).
% 22.23/22.64 tff(21588,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21589,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21590,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 22.23/22.64 tff(21591,plain,
% 22.23/22.64 (xuntil2p30(s55) | (~until2p29(s55))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21590, 20138, 16995])).
% 22.23/22.64 tff(21592,plain,
% 22.23/22.64 (~until2p29(s55)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21591, 21587])).
% 22.23/22.64 tff(21593,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21594,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21595,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21594, 21593])).
% 22.23/22.64 tff(21596,plain,
% 22.23/22.64 (until2p29(s55) | (~xuntil2p30(s54))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21595, 4752, 20153])).
% 22.23/22.64 tff(21597,plain,
% 22.23/22.64 (~xuntil2p30(s54)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21596, 21592])).
% 22.23/22.64 tff(21598,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21599,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21600,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 22.23/22.64 tff(21601,plain,
% 22.23/22.64 (xuntil2p30(s54) | (~until2p29(s54))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21600, 20138, 17004])).
% 22.23/22.64 tff(21602,plain,
% 22.23/22.64 (~until2p29(s54)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21601, 21597])).
% 22.23/22.64 tff(21603,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21604,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21605,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 22.23/22.64 tff(21606,plain,
% 22.23/22.64 (until2p29(s54) | (~xuntil2p30(s53))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21605, 4653, 20153])).
% 22.23/22.64 tff(21607,plain,
% 22.23/22.64 (~xuntil2p30(s53)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21606, 21602])).
% 22.23/22.64 tff(21608,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21609,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21610,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 22.23/22.64 tff(21611,plain,
% 22.23/22.64 (xuntil2p30(s53) | (~until2p29(s53))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21610, 20138, 17008])).
% 22.23/22.64 tff(21612,plain,
% 22.23/22.64 (~until2p29(s53)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21611, 21607])).
% 22.23/22.64 tff(21613,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21614,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21615,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21614, 21613])).
% 22.23/22.64 tff(21616,plain,
% 22.23/22.64 (until2p29(s53) | (~xuntil2p30(s52))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21615, 4586, 20153])).
% 22.23/22.64 tff(21617,plain,
% 22.23/22.64 (~xuntil2p30(s52)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21616, 21612])).
% 22.23/22.64 tff(21618,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21619,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21620,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 22.23/22.64 tff(21621,plain,
% 22.23/22.64 (xuntil2p30(s52) | (~until2p29(s52))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21620, 20138, 18120])).
% 22.23/22.64 tff(21622,plain,
% 22.23/22.64 (~until2p29(s52)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21621, 21617])).
% 22.23/22.64 tff(21623,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21624,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21625,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 22.23/22.64 tff(21626,plain,
% 22.23/22.64 (until2p29(s52) | (~xuntil2p30(s51))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21625, 4497, 20153])).
% 22.23/22.64 tff(21627,plain,
% 22.23/22.64 (~xuntil2p30(s51)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21626, 21622])).
% 22.23/22.64 tff(21628,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21629,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21630,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 22.23/22.64 tff(21631,plain,
% 22.23/22.64 (xuntil2p30(s51) | (~until2p29(s51))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21630, 20138, 17024])).
% 22.23/22.64 tff(21632,plain,
% 22.23/22.64 (~until2p29(s51)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21631, 21627])).
% 22.23/22.64 tff(21633,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21634,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21635,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 22.23/22.64 tff(21636,plain,
% 22.23/22.64 (until2p29(s51) | (~xuntil2p30(s50))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21635, 4422, 20153])).
% 22.23/22.64 tff(21637,plain,
% 22.23/22.64 (~xuntil2p30(s50)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21636, 21632])).
% 22.23/22.64 tff(21638,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21639,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21640,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 22.23/22.64 tff(21641,plain,
% 22.23/22.64 (xuntil2p30(s50) | (~until2p29(s50))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21640, 20138, 17033])).
% 22.23/22.64 tff(21642,plain,
% 22.23/22.64 (~until2p29(s50)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21641, 21637])).
% 22.23/22.64 tff(21643,plain,
% 22.23/22.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21644,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21645,plain,
% 22.23/22.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 22.23/22.64 tff(21646,plain,
% 22.23/22.64 (until2p29(s50) | (~xuntil2p30(s49))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21645, 4358, 20153])).
% 22.23/22.64 tff(21647,plain,
% 22.23/22.64 (~xuntil2p30(s49)),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21646, 21642])).
% 22.23/22.64 tff(21648,plain,
% 22.23/22.64 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 22.23/22.64 inference(rewrite,[status(thm)],[])).
% 22.23/22.64 tff(21649,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 22.23/22.64 inference(quant_inst,[status(thm)],[])).
% 22.23/22.64 tff(21650,plain,
% 22.23/22.64 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49))),
% 22.23/22.64 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 22.23/22.64 tff(21651,plain,
% 22.23/22.64 (xuntil2p30(s49) | (~until2p29(s49))),
% 22.23/22.64 inference(unit_resolution,[status(thm)],[21650, 20138, 17037])).
% 22.23/22.64 tff(21652,plain,
% 22.23/22.64 (~until2p29(s49)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21651, 21647])).
% 22.23/22.65 tff(21653,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21654,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21655,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21654, 21653])).
% 22.23/22.65 tff(21656,plain,
% 22.23/22.65 (until2p29(s49) | (~xuntil2p30(s48))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21655, 4263, 20153])).
% 22.23/22.65 tff(21657,plain,
% 22.23/22.65 (~xuntil2p30(s48)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21656, 21652])).
% 22.23/22.65 tff(21658,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21659,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21660,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21659, 21658])).
% 22.23/22.65 tff(21661,plain,
% 22.23/22.65 (xuntil2p30(s48) | (~until2p29(s48))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21660, 20138, 18066])).
% 22.23/22.65 tff(21662,plain,
% 22.23/22.65 (~until2p29(s48)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21661, 21657])).
% 22.23/22.65 tff(21663,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21664,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21665,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21664, 21663])).
% 22.23/22.65 tff(21666,plain,
% 22.23/22.65 (until2p29(s48) | (~xuntil2p30(s47))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21665, 4202, 20153])).
% 22.23/22.65 tff(21667,plain,
% 22.23/22.65 (~xuntil2p30(s47)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21666, 21662])).
% 22.23/22.65 tff(21668,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21669,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21670,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21669, 21668])).
% 22.23/22.65 tff(21671,plain,
% 22.23/22.65 (xuntil2p30(s47) | (~until2p29(s47))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21670, 20138, 17053])).
% 22.23/22.65 tff(21672,plain,
% 22.23/22.65 (~until2p29(s47)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21671, 21667])).
% 22.23/22.65 tff(21673,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21674,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21675,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21674, 21673])).
% 22.23/22.65 tff(21676,plain,
% 22.23/22.65 (until2p29(s47) | (~xuntil2p30(s46))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21675, 4124, 20153])).
% 22.23/22.65 tff(21677,plain,
% 22.23/22.65 (~xuntil2p30(s46)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21676, 21672])).
% 22.23/22.65 tff(21678,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21679,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21680,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 22.23/22.65 tff(21681,plain,
% 22.23/22.65 (xuntil2p30(s46) | (~until2p29(s46))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21680, 20138, 17062])).
% 22.23/22.65 tff(21682,plain,
% 22.23/22.65 (~until2p29(s46)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21681, 21677])).
% 22.23/22.65 tff(21683,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21684,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21685,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21684, 21683])).
% 22.23/22.65 tff(21686,plain,
% 22.23/22.65 (until2p29(s46) | (~xuntil2p30(s45))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21685, 4025, 20153])).
% 22.23/22.65 tff(21687,plain,
% 22.23/22.65 (~xuntil2p30(s45)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21686, 21682])).
% 22.23/22.65 tff(21688,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21689,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21690,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21689, 21688])).
% 22.23/22.65 tff(21691,plain,
% 22.23/22.65 (xuntil2p30(s45) | (~until2p29(s45))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21690, 20138, 17066])).
% 22.23/22.65 tff(21692,plain,
% 22.23/22.65 (~until2p29(s45)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21691, 21687])).
% 22.23/22.65 tff(21693,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21694,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21695,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21694, 21693])).
% 22.23/22.65 tff(21696,plain,
% 22.23/22.65 (until2p29(s45) | (~xuntil2p30(s44))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21695, 3958, 20153])).
% 22.23/22.65 tff(21697,plain,
% 22.23/22.65 (~xuntil2p30(s44)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21696, 21692])).
% 22.23/22.65 tff(21698,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21699,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21700,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 22.23/22.65 tff(21701,plain,
% 22.23/22.65 (xuntil2p30(s44) | (~until2p29(s44))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21700, 20138, 18012])).
% 22.23/22.65 tff(21702,plain,
% 22.23/22.65 (~until2p29(s44)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21701, 21697])).
% 22.23/22.65 tff(21703,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21704,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21705,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 22.23/22.65 tff(21706,plain,
% 22.23/22.65 (until2p29(s44) | (~xuntil2p30(s43))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21705, 3869, 20153])).
% 22.23/22.65 tff(21707,plain,
% 22.23/22.65 (~xuntil2p30(s43)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21706, 21702])).
% 22.23/22.65 tff(21708,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21709,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21710,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21709, 21708])).
% 22.23/22.65 tff(21711,plain,
% 22.23/22.65 (xuntil2p30(s43) | (~until2p29(s43))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21710, 20138, 17082])).
% 22.23/22.65 tff(21712,plain,
% 22.23/22.65 (~until2p29(s43)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21711, 21707])).
% 22.23/22.65 tff(21713,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21714,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21715,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21714, 21713])).
% 22.23/22.65 tff(21716,plain,
% 22.23/22.65 (until2p29(s43) | (~xuntil2p30(s42))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21715, 3794, 20153])).
% 22.23/22.65 tff(21717,plain,
% 22.23/22.65 (~xuntil2p30(s42)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21716, 21712])).
% 22.23/22.65 tff(21718,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21719,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21720,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 22.23/22.65 tff(21721,plain,
% 22.23/22.65 (xuntil2p30(s42) | (~until2p29(s42))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21720, 20138, 17091])).
% 22.23/22.65 tff(21722,plain,
% 22.23/22.65 (~until2p29(s42)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21721, 21717])).
% 22.23/22.65 tff(21723,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21724,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21725,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21724, 21723])).
% 22.23/22.65 tff(21726,plain,
% 22.23/22.65 (until2p29(s42) | (~xuntil2p30(s41))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21725, 3730, 20153])).
% 22.23/22.65 tff(21727,plain,
% 22.23/22.65 (~xuntil2p30(s41)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21726, 21722])).
% 22.23/22.65 tff(21728,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21729,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21730,plain,
% 22.23/22.65 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 22.23/22.65 tff(21731,plain,
% 22.23/22.65 (xuntil2p30(s41) | (~until2p29(s41))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21730, 20138, 17095])).
% 22.23/22.65 tff(21732,plain,
% 22.23/22.65 (~until2p29(s41)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21731, 21727])).
% 22.23/22.65 tff(21733,plain,
% 22.23/22.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 22.23/22.65 inference(rewrite,[status(thm)],[])).
% 22.23/22.65 tff(21734,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 22.23/22.65 inference(quant_inst,[status(thm)],[])).
% 22.23/22.65 tff(21735,plain,
% 22.23/22.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40))),
% 22.23/22.65 inference(modus_ponens,[status(thm)],[21734, 21733])).
% 22.23/22.65 tff(21736,plain,
% 22.23/22.65 (until2p29(s41) | (~xuntil2p30(s40))),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21735, 3635, 20153])).
% 22.23/22.65 tff(21737,plain,
% 22.23/22.65 (~xuntil2p30(s40)),
% 22.23/22.65 inference(unit_resolution,[status(thm)],[21736, 21732])).
% 22.23/22.65 tff(21738,plain,
% 22.23/22.65 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 22.23/22.66 inference(rewrite,[status(thm)],[])).
% 22.23/22.66 tff(21739,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 22.23/22.66 inference(quant_inst,[status(thm)],[])).
% 22.23/22.66 tff(21740,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40))),
% 22.23/22.66 inference(modus_ponens,[status(thm)],[21739, 21738])).
% 22.23/22.66 tff(21741,plain,
% 22.23/22.66 (xuntil2p30(s40) | (~until2p29(s40))),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21740, 20138, 17958])).
% 22.23/22.66 tff(21742,plain,
% 22.23/22.66 (~until2p29(s40)),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21741, 21737])).
% 22.23/22.66 tff(21743,plain,
% 22.23/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 22.23/22.66 inference(rewrite,[status(thm)],[])).
% 22.23/22.66 tff(21744,plain,
% 22.23/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 22.23/22.66 inference(quant_inst,[status(thm)],[])).
% 22.23/22.66 tff(21745,plain,
% 22.23/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39))),
% 22.23/22.66 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 22.23/22.66 tff(21746,plain,
% 22.23/22.66 (until2p29(s40) | (~xuntil2p30(s39))),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21745, 3574, 20153])).
% 22.23/22.66 tff(21747,plain,
% 22.23/22.66 (~xuntil2p30(s39)),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21746, 21742])).
% 22.23/22.66 tff(21748,plain,
% 22.23/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 22.23/22.66 inference(rewrite,[status(thm)],[])).
% 22.23/22.66 tff(21749,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 22.23/22.66 inference(quant_inst,[status(thm)],[])).
% 22.23/22.66 tff(21750,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39))),
% 22.23/22.66 inference(modus_ponens,[status(thm)],[21749, 21748])).
% 22.23/22.66 tff(21751,plain,
% 22.23/22.66 (xuntil2p30(s39) | (~until2p29(s39))),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21750, 20138, 17111])).
% 22.23/22.66 tff(21752,plain,
% 22.23/22.66 (~until2p29(s39)),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21751, 21747])).
% 22.23/22.66 tff(21753,plain,
% 22.23/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 22.23/22.66 inference(rewrite,[status(thm)],[])).
% 22.23/22.66 tff(21754,plain,
% 22.23/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 22.23/22.66 inference(quant_inst,[status(thm)],[])).
% 22.23/22.66 tff(21755,plain,
% 22.23/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38))),
% 22.23/22.66 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 22.23/22.66 tff(21756,plain,
% 22.23/22.66 (until2p29(s39) | (~xuntil2p30(s38))),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21755, 3496, 20153])).
% 22.23/22.66 tff(21757,plain,
% 22.23/22.66 (~xuntil2p30(s38)),
% 22.23/22.66 inference(unit_resolution,[status(thm)],[21756, 21752])).
% 22.23/22.66 tff(21758,plain,
% 22.23/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 22.23/22.66 inference(rewrite,[status(thm)],[])).
% 22.23/22.66 tff(21759,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 22.23/22.66 inference(quant_inst,[status(thm)],[])).
% 22.23/22.66 tff(21760,plain,
% 22.23/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 22.30/22.66 tff(21761,plain,
% 22.30/22.66 (xuntil2p30(s38) | (~until2p29(s38))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21760, 20138, 17120])).
% 22.30/22.66 tff(21762,plain,
% 22.30/22.66 (~until2p29(s38)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21761, 21757])).
% 22.30/22.66 tff(21763,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21764,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21765,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21764, 21763])).
% 22.30/22.66 tff(21766,plain,
% 22.30/22.66 (until2p29(s38) | (~xuntil2p30(s37))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21765, 3397, 20153])).
% 22.30/22.66 tff(21767,plain,
% 22.30/22.66 (~xuntil2p30(s37)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21766, 21762])).
% 22.30/22.66 tff(21768,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21769,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21770,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 22.30/22.66 tff(21771,plain,
% 22.30/22.66 (xuntil2p30(s37) | (~until2p29(s37))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21770, 20138, 17124])).
% 22.30/22.66 tff(21772,plain,
% 22.30/22.66 (~until2p29(s37)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21771, 21767])).
% 22.30/22.66 tff(21773,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21774,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21775,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 22.30/22.66 tff(21776,plain,
% 22.30/22.66 (until2p29(s37) | (~xuntil2p30(s36))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21775, 3330, 20153])).
% 22.30/22.66 tff(21777,plain,
% 22.30/22.66 (~xuntil2p30(s36)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21776, 21772])).
% 22.30/22.66 tff(21778,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21779,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21780,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21779, 21778])).
% 22.30/22.66 tff(21781,plain,
% 22.30/22.66 (xuntil2p30(s36) | (~until2p29(s36))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21780, 20138, 17904])).
% 22.30/22.66 tff(21782,plain,
% 22.30/22.66 (~until2p29(s36)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21781, 21777])).
% 22.30/22.66 tff(21783,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21784,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21785,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21784, 21783])).
% 22.30/22.66 tff(21786,plain,
% 22.30/22.66 (until2p29(s36) | (~xuntil2p30(s35))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21785, 3241, 20153])).
% 22.30/22.66 tff(21787,plain,
% 22.30/22.66 (~xuntil2p30(s35)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21786, 21782])).
% 22.30/22.66 tff(21788,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21789,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21790,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 22.30/22.66 tff(21791,plain,
% 22.30/22.66 (xuntil2p30(s35) | (~until2p29(s35))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21790, 20138, 17140])).
% 22.30/22.66 tff(21792,plain,
% 22.30/22.66 (~until2p29(s35)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21791, 21787])).
% 22.30/22.66 tff(21793,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21794,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21795,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21794, 21793])).
% 22.30/22.66 tff(21796,plain,
% 22.30/22.66 (until2p29(s35) | (~xuntil2p30(s34))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21795, 3166, 20153])).
% 22.30/22.66 tff(21797,plain,
% 22.30/22.66 (~xuntil2p30(s34)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21796, 21792])).
% 22.30/22.66 tff(21798,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21799,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21800,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21799, 21798])).
% 22.30/22.66 tff(21801,plain,
% 22.30/22.66 (xuntil2p30(s34) | (~until2p29(s34))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21800, 20138, 17149])).
% 22.30/22.66 tff(21802,plain,
% 22.30/22.66 (~until2p29(s34)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21801, 21797])).
% 22.30/22.66 tff(21803,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21804,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21805,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21804, 21803])).
% 22.30/22.66 tff(21806,plain,
% 22.30/22.66 (until2p29(s34) | (~xuntil2p30(s33))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21805, 3102, 20153])).
% 22.30/22.66 tff(21807,plain,
% 22.30/22.66 (~xuntil2p30(s33)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21806, 21802])).
% 22.30/22.66 tff(21808,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21809,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21810,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 22.30/22.66 tff(21811,plain,
% 22.30/22.66 (xuntil2p30(s33) | (~until2p29(s33))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21810, 20138, 17153])).
% 22.30/22.66 tff(21812,plain,
% 22.30/22.66 (~until2p29(s33)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21811, 21807])).
% 22.30/22.66 tff(21813,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21814,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21815,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21814, 21813])).
% 22.30/22.66 tff(21816,plain,
% 22.30/22.66 (until2p29(s33) | (~xuntil2p30(s32))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21815, 3007, 20153])).
% 22.30/22.66 tff(21817,plain,
% 22.30/22.66 (~xuntil2p30(s32)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21816, 21812])).
% 22.30/22.66 tff(21818,plain,
% 22.30/22.66 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21819,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21820,plain,
% 22.30/22.66 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32))),
% 22.30/22.66 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 22.30/22.66 tff(21821,plain,
% 22.30/22.66 (xuntil2p30(s32) | (~until2p29(s32))),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21820, 20138, 17850])).
% 22.30/22.66 tff(21822,plain,
% 22.30/22.66 (~until2p29(s32)),
% 22.30/22.66 inference(unit_resolution,[status(thm)],[21821, 21817])).
% 22.30/22.66 tff(21823,plain,
% 22.30/22.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 22.30/22.66 inference(rewrite,[status(thm)],[])).
% 22.30/22.66 tff(21824,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 22.30/22.66 inference(quant_inst,[status(thm)],[])).
% 22.30/22.66 tff(21825,plain,
% 22.30/22.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21824, 21823])).
% 22.30/22.67 tff(21826,plain,
% 22.30/22.67 (until2p29(s32) | (~xuntil2p30(s31))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21825, 2946, 20153])).
% 22.30/22.67 tff(21827,plain,
% 22.30/22.67 (~xuntil2p30(s31)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21826, 21822])).
% 22.30/22.67 tff(21828,plain,
% 22.30/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21829,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21830,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21829, 21828])).
% 22.30/22.67 tff(21831,plain,
% 22.30/22.67 (xuntil2p30(s31) | (~until2p29(s31))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21830, 20138, 17169])).
% 22.30/22.67 tff(21832,plain,
% 22.30/22.67 (~until2p29(s31)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21831, 21827])).
% 22.30/22.67 tff(21833,plain,
% 22.30/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21834,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21835,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21834, 21833])).
% 22.30/22.67 tff(21836,plain,
% 22.30/22.67 (until2p29(s31) | (~xuntil2p30(s30))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21835, 2868, 20153])).
% 22.30/22.67 tff(21837,plain,
% 22.30/22.67 (~xuntil2p30(s30)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21836, 21832])).
% 22.30/22.67 tff(21838,plain,
% 22.30/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21839,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21840,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21839, 21838])).
% 22.30/22.67 tff(21841,plain,
% 22.30/22.67 (xuntil2p30(s30) | (~until2p29(s30))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21840, 20138, 17178])).
% 22.30/22.67 tff(21842,plain,
% 22.30/22.67 (~until2p29(s30)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21841, 21837])).
% 22.30/22.67 tff(21843,plain,
% 22.30/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21844,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21845,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 22.30/22.67 tff(21846,plain,
% 22.30/22.67 (until2p29(s30) | (~xuntil2p30(s29))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21845, 2769, 20153])).
% 22.30/22.67 tff(21847,plain,
% 22.30/22.67 (~xuntil2p30(s29)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21846, 21842])).
% 22.30/22.67 tff(21848,plain,
% 22.30/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21849,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21850,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 22.30/22.67 tff(21851,plain,
% 22.30/22.67 (xuntil2p30(s29) | (~until2p29(s29))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21850, 20138, 17182])).
% 22.30/22.67 tff(21852,plain,
% 22.30/22.67 (~until2p29(s29)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21851, 21847])).
% 22.30/22.67 tff(21853,plain,
% 22.30/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21854,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21855,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 22.30/22.67 tff(21856,plain,
% 22.30/22.67 (until2p29(s29) | (~xuntil2p30(s28))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21855, 2702, 20153])).
% 22.30/22.67 tff(21857,plain,
% 22.30/22.67 (~xuntil2p30(s28)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21856, 21852])).
% 22.30/22.67 tff(21858,plain,
% 22.30/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21859,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21860,plain,
% 22.30/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21859, 21858])).
% 22.30/22.67 tff(21861,plain,
% 22.30/22.67 (xuntil2p30(s28) | (~until2p29(s28))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21860, 20138, 17796])).
% 22.30/22.67 tff(21862,plain,
% 22.30/22.67 (~until2p29(s28)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21861, 21857])).
% 22.30/22.67 tff(21863,plain,
% 22.30/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21864,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 22.30/22.67 inference(quant_inst,[status(thm)],[])).
% 22.30/22.67 tff(21865,plain,
% 22.30/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27))),
% 22.30/22.67 inference(modus_ponens,[status(thm)],[21864, 21863])).
% 22.30/22.67 tff(21866,plain,
% 22.30/22.67 (until2p29(s28) | (~xuntil2p30(s27))),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21865, 2613, 20153])).
% 22.30/22.67 tff(21867,plain,
% 22.30/22.67 (~xuntil2p30(s27)),
% 22.30/22.67 inference(unit_resolution,[status(thm)],[21866, 21862])).
% 22.30/22.67 tff(21868,plain,
% 22.30/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 22.30/22.67 inference(rewrite,[status(thm)],[])).
% 22.30/22.67 tff(21869,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21870,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21869, 21868])).
% 22.31/22.67 tff(21871,plain,
% 22.31/22.67 (xuntil2p30(s27) | (~until2p29(s27))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21870, 20138, 17198])).
% 22.31/22.67 tff(21872,plain,
% 22.31/22.67 (~until2p29(s27)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21871, 21867])).
% 22.31/22.67 tff(21873,plain,
% 22.31/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21874,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21875,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 22.31/22.67 tff(21876,plain,
% 22.31/22.67 (until2p29(s27) | (~xuntil2p30(s26))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21875, 2538, 20153])).
% 22.31/22.67 tff(21877,plain,
% 22.31/22.67 (~xuntil2p30(s26)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21876, 21872])).
% 22.31/22.67 tff(21878,plain,
% 22.31/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21879,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21880,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 22.31/22.67 tff(21881,plain,
% 22.31/22.67 (xuntil2p30(s26) | (~until2p29(s26))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21880, 20138, 17207])).
% 22.31/22.67 tff(21882,plain,
% 22.31/22.67 (~until2p29(s26)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21881, 21877])).
% 22.31/22.67 tff(21883,plain,
% 22.31/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21884,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21885,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 22.31/22.67 tff(21886,plain,
% 22.31/22.67 (until2p29(s26) | (~xuntil2p30(s25))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21885, 2474, 20153])).
% 22.31/22.67 tff(21887,plain,
% 22.31/22.67 (~xuntil2p30(s25)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21886, 21882])).
% 22.31/22.67 tff(21888,plain,
% 22.31/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21889,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21890,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 22.31/22.67 tff(21891,plain,
% 22.31/22.67 (xuntil2p30(s25) | (~until2p29(s25))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21890, 20138, 17211])).
% 22.31/22.67 tff(21892,plain,
% 22.31/22.67 (~until2p29(s25)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21891, 21887])).
% 22.31/22.67 tff(21893,plain,
% 22.31/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21894,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21895,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 22.31/22.67 tff(21896,plain,
% 22.31/22.67 (until2p29(s25) | (~xuntil2p30(s24))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21895, 2379, 20153])).
% 22.31/22.67 tff(21897,plain,
% 22.31/22.67 (~xuntil2p30(s24)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21896, 21892])).
% 22.31/22.67 tff(21898,plain,
% 22.31/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21899,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21900,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 22.31/22.67 tff(21901,plain,
% 22.31/22.67 (xuntil2p30(s24) | (~until2p29(s24))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21900, 20138, 17742])).
% 22.31/22.67 tff(21902,plain,
% 22.31/22.67 (~until2p29(s24)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21901, 21897])).
% 22.31/22.67 tff(21903,plain,
% 22.31/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21904,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21905,plain,
% 22.31/22.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 22.31/22.67 tff(21906,plain,
% 22.31/22.67 (until2p29(s24) | (~xuntil2p30(s23))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21905, 2318, 20153])).
% 22.31/22.67 tff(21907,plain,
% 22.31/22.67 (~xuntil2p30(s23)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21906, 21902])).
% 22.31/22.67 tff(21908,plain,
% 22.31/22.67 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 22.31/22.67 inference(rewrite,[status(thm)],[])).
% 22.31/22.67 tff(21909,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 22.31/22.67 inference(quant_inst,[status(thm)],[])).
% 22.31/22.67 tff(21910,plain,
% 22.31/22.67 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23))),
% 22.31/22.67 inference(modus_ponens,[status(thm)],[21909, 21908])).
% 22.31/22.67 tff(21911,plain,
% 22.31/22.67 (xuntil2p30(s23) | (~until2p29(s23))),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21910, 20138, 17227])).
% 22.31/22.67 tff(21912,plain,
% 22.31/22.67 (~until2p29(s23)),
% 22.31/22.67 inference(unit_resolution,[status(thm)],[21911, 21907])).
% 22.31/22.67 tff(21913,plain,
% 22.31/22.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21914,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21915,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 22.31/22.68 tff(21916,plain,
% 22.31/22.68 (until2p29(s23) | (~xuntil2p30(s22))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21915, 2240, 20153])).
% 22.31/22.68 tff(21917,plain,
% 22.31/22.68 (~xuntil2p30(s22)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21916, 21912])).
% 22.31/22.68 tff(21918,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21919,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21920,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21919, 21918])).
% 22.31/22.68 tff(21921,plain,
% 22.31/22.68 (xuntil2p30(s22) | (~until2p29(s22))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21920, 20138, 17236])).
% 22.31/22.68 tff(21922,plain,
% 22.31/22.68 (~until2p29(s22)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21921, 21917])).
% 22.31/22.68 tff(21923,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21924,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21925,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21924, 21923])).
% 22.31/22.68 tff(21926,plain,
% 22.31/22.68 (until2p29(s22) | (~xuntil2p30(s21))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21925, 2141, 20153])).
% 22.31/22.68 tff(21927,plain,
% 22.31/22.68 (~xuntil2p30(s21)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21926, 21922])).
% 22.31/22.68 tff(21928,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21929,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21930,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21929, 21928])).
% 22.31/22.68 tff(21931,plain,
% 22.31/22.68 (xuntil2p30(s21) | (~until2p29(s21))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21930, 20138, 17240])).
% 22.31/22.68 tff(21932,plain,
% 22.31/22.68 (~until2p29(s21)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21931, 21927])).
% 22.31/22.68 tff(21933,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21934,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21935,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21934, 21933])).
% 22.31/22.68 tff(21936,plain,
% 22.31/22.68 (until2p29(s21) | (~xuntil2p30(s20))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21935, 2074, 20153])).
% 22.31/22.68 tff(21937,plain,
% 22.31/22.68 (~xuntil2p30(s20)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21936, 21932])).
% 22.31/22.68 tff(21938,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21939,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21940,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21939, 21938])).
% 22.31/22.68 tff(21941,plain,
% 22.31/22.68 (xuntil2p30(s20) | (~until2p29(s20))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21940, 20138, 17688])).
% 22.31/22.68 tff(21942,plain,
% 22.31/22.68 (~until2p29(s20)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21941, 21937])).
% 22.31/22.68 tff(21943,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21944,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21945,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 22.31/22.68 tff(21946,plain,
% 22.31/22.68 (until2p29(s20) | (~xuntil2p30(s19))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21945, 1985, 20153])).
% 22.31/22.68 tff(21947,plain,
% 22.31/22.68 (~xuntil2p30(s19)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21946, 21942])).
% 22.31/22.68 tff(21948,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21949,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21950,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21949, 21948])).
% 22.31/22.68 tff(21951,plain,
% 22.31/22.68 (xuntil2p30(s19) | (~until2p29(s19))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21950, 20138, 17256])).
% 22.31/22.68 tff(21952,plain,
% 22.31/22.68 (~until2p29(s19)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21951, 21947])).
% 22.31/22.68 tff(21953,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21954,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21955,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21954, 21953])).
% 22.31/22.68 tff(21956,plain,
% 22.31/22.68 (until2p29(s19) | (~xuntil2p30(s18))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21955, 1910, 20153])).
% 22.31/22.68 tff(21957,plain,
% 22.31/22.68 (~xuntil2p30(s18)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21956, 21952])).
% 22.31/22.68 tff(21958,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21959,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21960,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21959, 21958])).
% 22.31/22.68 tff(21961,plain,
% 22.31/22.68 (xuntil2p30(s18) | (~until2p29(s18))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21960, 20138, 17265])).
% 22.31/22.68 tff(21962,plain,
% 22.31/22.68 (~until2p29(s18)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21961, 21957])).
% 22.31/22.68 tff(21963,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21964,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21965,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 22.31/22.68 tff(21966,plain,
% 22.31/22.68 (until2p29(s18) | (~xuntil2p30(s17))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21965, 1846, 20153])).
% 22.31/22.68 tff(21967,plain,
% 22.31/22.68 (~xuntil2p30(s17)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21966, 21962])).
% 22.31/22.68 tff(21968,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21969,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21970,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21969, 21968])).
% 22.31/22.68 tff(21971,plain,
% 22.31/22.68 (xuntil2p30(s17) | (~until2p29(s17))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21970, 20138, 17269])).
% 22.31/22.68 tff(21972,plain,
% 22.31/22.68 (~until2p29(s17)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21971, 21967])).
% 22.31/22.68 tff(21973,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21974,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21975,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21974, 21973])).
% 22.31/22.68 tff(21976,plain,
% 22.31/22.68 (until2p29(s17) | (~xuntil2p30(s16))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21975, 1751, 20153])).
% 22.31/22.68 tff(21977,plain,
% 22.31/22.68 (~xuntil2p30(s16)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21976, 21972])).
% 22.31/22.68 tff(21978,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21979,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21980,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 22.31/22.68 tff(21981,plain,
% 22.31/22.68 (xuntil2p30(s16) | (~until2p29(s16))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21980, 20138, 17634])).
% 22.31/22.68 tff(21982,plain,
% 22.31/22.68 (~until2p29(s16)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21981, 21977])).
% 22.31/22.68 tff(21983,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21984,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21985,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 22.31/22.68 tff(21986,plain,
% 22.31/22.68 (until2p29(s16) | (~xuntil2p30(s15))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21985, 1690, 20153])).
% 22.31/22.68 tff(21987,plain,
% 22.31/22.68 (~xuntil2p30(s15)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21986, 21982])).
% 22.31/22.68 tff(21988,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21989,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21990,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 22.31/22.68 tff(21991,plain,
% 22.31/22.68 (xuntil2p30(s15) | (~until2p29(s15))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21990, 20138, 17285])).
% 22.31/22.68 tff(21992,plain,
% 22.31/22.68 (~until2p29(s15)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21991, 21987])).
% 22.31/22.68 tff(21993,plain,
% 22.31/22.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21994,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 22.31/22.68 inference(quant_inst,[status(thm)],[])).
% 22.31/22.68 tff(21995,plain,
% 22.31/22.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14))),
% 22.31/22.68 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 22.31/22.68 tff(21996,plain,
% 22.31/22.68 (until2p29(s15) | (~xuntil2p30(s14))),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21995, 1612, 20153])).
% 22.31/22.68 tff(21997,plain,
% 22.31/22.68 (~xuntil2p30(s14)),
% 22.31/22.68 inference(unit_resolution,[status(thm)],[21996, 21992])).
% 22.31/22.68 tff(21998,plain,
% 22.31/22.68 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 22.31/22.68 inference(rewrite,[status(thm)],[])).
% 22.31/22.68 tff(21999,plain,
% 22.31/22.68 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22000,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[21999, 21998])).
% 22.31/22.69 tff(22001,plain,
% 22.31/22.69 (xuntil2p30(s14) | (~until2p29(s14))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22000, 20138, 17294])).
% 22.31/22.69 tff(22002,plain,
% 22.31/22.69 (~until2p29(s14)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22001, 21997])).
% 22.31/22.69 tff(22003,plain,
% 22.31/22.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22004,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22005,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 22.31/22.69 tff(22006,plain,
% 22.31/22.69 (until2p29(s14) | (~xuntil2p30(s13))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22005, 1513, 20153])).
% 22.31/22.69 tff(22007,plain,
% 22.31/22.69 (~xuntil2p30(s13)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22006, 22002])).
% 22.31/22.69 tff(22008,plain,
% 22.31/22.69 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22009,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22010,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22009, 22008])).
% 22.31/22.69 tff(22011,plain,
% 22.31/22.69 (xuntil2p30(s13) | (~until2p29(s13))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22010, 20138, 17298])).
% 22.31/22.69 tff(22012,plain,
% 22.31/22.69 (~until2p29(s13)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22011, 22007])).
% 22.31/22.69 tff(22013,plain,
% 22.31/22.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22014,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22015,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22014, 22013])).
% 22.31/22.69 tff(22016,plain,
% 22.31/22.69 (until2p29(s13) | (~xuntil2p30(s12))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22015, 1446, 20153])).
% 22.31/22.69 tff(22017,plain,
% 22.31/22.69 (~xuntil2p30(s12)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22016, 22012])).
% 22.31/22.69 tff(22018,plain,
% 22.31/22.69 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22019,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22020,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 22.31/22.69 tff(22021,plain,
% 22.31/22.69 (xuntil2p30(s12) | (~until2p29(s12))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22020, 20138, 17580])).
% 22.31/22.69 tff(22022,plain,
% 22.31/22.69 (~until2p29(s12)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22021, 22017])).
% 22.31/22.69 tff(22023,plain,
% 22.31/22.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22024,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22025,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22024, 22023])).
% 22.31/22.69 tff(22026,plain,
% 22.31/22.69 (until2p29(s12) | (~xuntil2p30(s11))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22025, 1357, 20153])).
% 22.31/22.69 tff(22027,plain,
% 22.31/22.69 (~xuntil2p30(s11)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22026, 22022])).
% 22.31/22.69 tff(22028,plain,
% 22.31/22.69 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22029,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22030,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 22.31/22.69 tff(22031,plain,
% 22.31/22.69 (xuntil2p30(s11) | (~until2p29(s11))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22030, 20138, 17314])).
% 22.31/22.69 tff(22032,plain,
% 22.31/22.69 (~until2p29(s11)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22031, 22027])).
% 22.31/22.69 tff(22033,plain,
% 22.31/22.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22034,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22035,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22034, 22033])).
% 22.31/22.69 tff(22036,plain,
% 22.31/22.69 (until2p29(s11) | (~xuntil2p30(s10))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22035, 1282, 20153])).
% 22.31/22.69 tff(22037,plain,
% 22.31/22.69 (~xuntil2p30(s10)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22036, 22032])).
% 22.31/22.69 tff(22038,plain,
% 22.31/22.69 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22039,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22040,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22039, 22038])).
% 22.31/22.69 tff(22041,plain,
% 22.31/22.69 (xuntil2p30(s10) | (~until2p29(s10))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22040, 20138, 17323])).
% 22.31/22.69 tff(22042,plain,
% 22.31/22.69 (~until2p29(s10)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22041, 22037])).
% 22.31/22.69 tff(22043,plain,
% 22.31/22.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22044,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22045,plain,
% 22.31/22.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 22.31/22.69 tff(22046,plain,
% 22.31/22.69 (until2p29(s10) | (~xuntil2p30(s9))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22045, 1218, 20153])).
% 22.31/22.69 tff(22047,plain,
% 22.31/22.69 (~xuntil2p30(s9)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22046, 22042])).
% 22.31/22.69 tff(22048,plain,
% 22.31/22.69 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22049,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 22.31/22.69 inference(quant_inst,[status(thm)],[])).
% 22.31/22.69 tff(22050,plain,
% 22.31/22.69 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 22.31/22.69 tff(22051,plain,
% 22.31/22.69 (xuntil2p30(s9) | (~until2p29(s9))),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22050, 20138, 17327])).
% 22.31/22.69 tff(22052,plain,
% 22.31/22.69 (~until2p29(s9)),
% 22.31/22.69 inference(unit_resolution,[status(thm)],[22051, 22047])).
% 22.31/22.69 tff(22053,plain,
% 22.31/22.69 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)))),
% 22.31/22.69 inference(bind,[status(th)],[])).
% 22.31/22.69 tff(22054,plain,
% 22.31/22.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(quant_intro,[status(thm)],[22053])).
% 22.31/22.69 tff(22055,plain,
% 22.31/22.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(rewrite,[status(thm)],[])).
% 22.31/22.69 tff(22056,plain,
% 22.31/22.69 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p29(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))))),
% 22.31/22.69 inference(bind,[status(th)],[])).
% 22.31/22.69 tff(22057,plain,
% 22.31/22.69 (![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(quant_intro,[status(thm)],[22056])).
% 22.31/22.69 tff(22058,axiom,(![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty22')).
% 22.31/22.69 tff(22059,plain,
% 22.31/22.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 22.31/22.69 tff(22060,plain,
% 22.31/22.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22059, 22055])).
% 22.31/22.69 tff(22061,plain,(
% 22.31/22.69 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(skolemize,[status(sab)],[22060])).
% 22.31/22.69 tff(22062,plain,
% 22.31/22.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 22.31/22.69 inference(modus_ponens,[status(thm)],[22061, 22054])).
% 22.31/22.70 tff(22063,assumption,(xuntil28(s199)), introduced(assumption)).
% 22.31/22.70 tff(22064,assumption,(~until2p29(s67)), introduced(assumption)).
% 22.31/22.70 tff(22065,assumption,(trans(s199, s67)), introduced(assumption)).
% 22.31/22.70 tff(22066,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22067,plain,
% 22.31/22.70 (((~trans(s199, s67)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s67)) <=> (until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22068,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22067])).
% 22.31/22.70 tff(22069,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22068, 22066])).
% 22.31/22.70 tff(22070,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s67)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s67))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22071,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s67))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 22.31/22.70 tff(22072,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22071, 20124, 22065, 22062, 22064, 22063])).
% 22.31/22.70 tff(22073,plain,((~trans(s199, s67)) | until2p29(s67) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22074,plain,
% 22.31/22.70 (~trans(s199, s67)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22073, 21472, 20114])).
% 22.31/22.70 tff(22075,assumption,(~until2p29(s118)), introduced(assumption)).
% 22.31/22.70 tff(22076,assumption,(trans(s199, s118)), introduced(assumption)).
% 22.31/22.70 tff(22077,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22078,plain,
% 22.31/22.70 (((~trans(s199, s118)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s118)) <=> (until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22079,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22078])).
% 22.31/22.70 tff(22080,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22079, 22077])).
% 22.31/22.70 tff(22081,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s118)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s118))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22082,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s118))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 22.31/22.70 tff(22083,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22082, 20124, 22076, 22062, 22075, 22063])).
% 22.31/22.70 tff(22084,plain,((~trans(s199, s118)) | until2p29(s118) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22085,plain,
% 22.31/22.70 (~trans(s199, s118)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22084, 20962, 20114])).
% 22.31/22.70 tff(22086,assumption,(~until2p29(s110)), introduced(assumption)).
% 22.31/22.70 tff(22087,assumption,(trans(s199, s110)), introduced(assumption)).
% 22.31/22.70 tff(22088,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22089,plain,
% 22.31/22.70 (((~trans(s199, s110)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s110)) <=> (until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22090,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22089])).
% 22.31/22.70 tff(22091,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22090, 22088])).
% 22.31/22.70 tff(22092,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s110)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s110))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22093,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s110))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22092, 22091])).
% 22.31/22.70 tff(22094,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22093, 20124, 22087, 22062, 22086, 22063])).
% 22.31/22.70 tff(22095,plain,((~trans(s199, s110)) | until2p29(s110) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22096,plain,
% 22.31/22.70 (~trans(s199, s110)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22095, 21042, 20114])).
% 22.31/22.70 tff(22097,assumption,(~until2p29(s12)), introduced(assumption)).
% 22.31/22.70 tff(22098,assumption,(trans(s199, s12)), introduced(assumption)).
% 22.31/22.70 tff(22099,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22100,plain,
% 22.31/22.70 (((~trans(s199, s12)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s12)) <=> (until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22101,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22100])).
% 22.31/22.70 tff(22102,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22101, 22099])).
% 22.31/22.70 tff(22103,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s12)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s12))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22104,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s12))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22103, 22102])).
% 22.31/22.70 tff(22105,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22104, 20124, 22098, 22062, 22097, 22063])).
% 22.31/22.70 tff(22106,plain,((~trans(s199, s12)) | until2p29(s12) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22107,plain,
% 22.31/22.70 (~trans(s199, s12)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22106, 22022, 20114])).
% 22.31/22.70 tff(22108,assumption,(~until2p29(s74)), introduced(assumption)).
% 22.31/22.70 tff(22109,assumption,(trans(s199, s74)), introduced(assumption)).
% 22.31/22.70 tff(22110,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22111,plain,
% 22.31/22.70 (((~trans(s199, s74)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s74)) <=> (until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22112,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22111])).
% 22.31/22.70 tff(22113,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22112, 22110])).
% 22.31/22.70 tff(22114,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s74)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s74))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22115,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s74))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 22.31/22.70 tff(22116,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22115, 20124, 22109, 22062, 22108, 22063])).
% 22.31/22.70 tff(22117,plain,((~trans(s199, s74)) | until2p29(s74) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22118,plain,
% 22.31/22.70 (~trans(s199, s74)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22117, 21402, 20114])).
% 22.31/22.70 tff(22119,assumption,(~until2p29(s196)), introduced(assumption)).
% 22.31/22.70 tff(22120,assumption,(trans(s199, s196)), introduced(assumption)).
% 22.31/22.70 tff(22121,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22122,plain,
% 22.31/22.70 (((~trans(s199, s196)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s196)) <=> (until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22123,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196))))),
% 22.31/22.70 inference(monotonicity,[status(thm)],[22122])).
% 22.31/22.70 tff(22124,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196)))),
% 22.31/22.70 inference(transitivity,[status(thm)],[22123, 22121])).
% 22.31/22.70 tff(22125,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s196)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s196))),
% 22.31/22.70 inference(quant_inst,[status(thm)],[])).
% 22.31/22.70 tff(22126,plain,
% 22.31/22.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s196))),
% 22.31/22.70 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 22.31/22.70 tff(22127,plain,
% 22.31/22.70 ($false),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22126, 20124, 22120, 22062, 22119, 22063])).
% 22.31/22.70 tff(22128,plain,((~trans(s199, s196)) | until2p29(s196) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.70 tff(22129,plain,
% 22.31/22.70 (~trans(s199, s196)),
% 22.31/22.70 inference(unit_resolution,[status(thm)],[22128, 20182, 20114])).
% 22.31/22.70 tff(22130,assumption,(~until2p29(s172)), introduced(assumption)).
% 22.31/22.70 tff(22131,assumption,(trans(s199, s172)), introduced(assumption)).
% 22.31/22.70 tff(22132,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22133,plain,
% 22.31/22.70 (((~trans(s199, s172)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s172)) <=> (until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172)))),
% 22.31/22.70 inference(rewrite,[status(thm)],[])).
% 22.31/22.70 tff(22134,plain,
% 22.31/22.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172))))),
% 22.31/22.71 inference(monotonicity,[status(thm)],[22133])).
% 22.31/22.71 tff(22135,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172)))),
% 22.31/22.71 inference(transitivity,[status(thm)],[22134, 22132])).
% 22.31/22.71 tff(22136,plain,
% 22.31/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s172)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s172))),
% 22.31/22.71 inference(quant_inst,[status(thm)],[])).
% 22.31/22.71 tff(22137,plain,
% 22.31/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s172))),
% 22.31/22.71 inference(modus_ponens,[status(thm)],[22136, 22135])).
% 22.31/22.71 tff(22138,plain,
% 22.31/22.71 ($false),
% 22.31/22.71 inference(unit_resolution,[status(thm)],[22137, 20124, 22131, 22062, 22130, 22063])).
% 22.31/22.71 tff(22139,plain,((~trans(s199, s172)) | until2p29(s172) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.71 tff(22140,plain,
% 22.31/22.71 (~trans(s199, s172)),
% 22.31/22.71 inference(unit_resolution,[status(thm)],[22139, 20422, 20114])).
% 22.31/22.71 tff(22141,assumption,(~until2p29(s164)), introduced(assumption)).
% 22.31/22.71 tff(22142,assumption,(trans(s199, s164)), introduced(assumption)).
% 22.31/22.71 tff(22143,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164)))),
% 22.31/22.71 inference(rewrite,[status(thm)],[])).
% 22.31/22.71 tff(22144,plain,
% 22.31/22.71 (((~trans(s199, s164)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s164)) <=> (until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164)))),
% 22.31/22.71 inference(rewrite,[status(thm)],[])).
% 22.31/22.71 tff(22145,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164))))),
% 22.31/22.71 inference(monotonicity,[status(thm)],[22144])).
% 22.31/22.71 tff(22146,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164)))),
% 22.31/22.71 inference(transitivity,[status(thm)],[22145, 22143])).
% 22.31/22.71 tff(22147,plain,
% 22.31/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s164)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s164))),
% 22.31/22.71 inference(quant_inst,[status(thm)],[])).
% 22.31/22.71 tff(22148,plain,
% 22.31/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s164))),
% 22.31/22.71 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 22.31/22.71 tff(22149,plain,
% 22.31/22.71 ($false),
% 22.31/22.71 inference(unit_resolution,[status(thm)],[22148, 20124, 22142, 22062, 22141, 22063])).
% 22.31/22.71 tff(22150,plain,((~trans(s199, s164)) | until2p29(s164) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.31/22.71 tff(22151,plain,
% 22.31/22.71 (~trans(s199, s164)),
% 22.31/22.71 inference(unit_resolution,[status(thm)],[22150, 20502, 20114])).
% 22.31/22.71 tff(22152,assumption,(~until2p29(s80)), introduced(assumption)).
% 22.31/22.71 tff(22153,assumption,(trans(s199, s80)), introduced(assumption)).
% 22.31/22.71 tff(22154,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80)))),
% 22.31/22.71 inference(rewrite,[status(thm)],[])).
% 22.31/22.71 tff(22155,plain,
% 22.31/22.71 (((~trans(s199, s80)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s80)) <=> (until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80)))),
% 22.31/22.71 inference(rewrite,[status(thm)],[])).
% 22.31/22.71 tff(22156,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80))))),
% 22.31/22.71 inference(monotonicity,[status(thm)],[22155])).
% 22.31/22.71 tff(22157,plain,
% 22.31/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80)))),
% 22.35/22.71 inference(transitivity,[status(thm)],[22156, 22154])).
% 22.35/22.71 tff(22158,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s80)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s80))),
% 22.35/22.71 inference(quant_inst,[status(thm)],[])).
% 22.35/22.71 tff(22159,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s80))),
% 22.35/22.71 inference(modus_ponens,[status(thm)],[22158, 22157])).
% 22.35/22.71 tff(22160,plain,
% 22.35/22.71 ($false),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22159, 20124, 22153, 22062, 22152, 22063])).
% 22.35/22.71 tff(22161,plain,((~trans(s199, s80)) | until2p29(s80) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.71 tff(22162,plain,
% 22.35/22.71 (~trans(s199, s80)),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22161, 21342, 20114])).
% 22.35/22.71 tff(22163,assumption,(~until2p29(s101)), introduced(assumption)).
% 22.35/22.71 tff(22164,assumption,(trans(s199, s101)), introduced(assumption)).
% 22.35/22.71 tff(22165,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22166,plain,
% 22.35/22.71 (((~trans(s199, s101)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s101)) <=> (until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22167,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101))))),
% 22.35/22.71 inference(monotonicity,[status(thm)],[22166])).
% 22.35/22.71 tff(22168,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101)))),
% 22.35/22.71 inference(transitivity,[status(thm)],[22167, 22165])).
% 22.35/22.71 tff(22169,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s101)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s101))),
% 22.35/22.71 inference(quant_inst,[status(thm)],[])).
% 22.35/22.71 tff(22170,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s101))),
% 22.35/22.71 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 22.35/22.71 tff(22171,plain,
% 22.35/22.71 ($false),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22170, 20124, 22164, 22062, 22163, 22063])).
% 22.35/22.71 tff(22172,plain,((~trans(s199, s101)) | until2p29(s101) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.71 tff(22173,plain,
% 22.35/22.71 (~trans(s199, s101)),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22172, 21132, 20114])).
% 22.35/22.71 tff(22174,assumption,(~until2p29(s111)), introduced(assumption)).
% 22.35/22.71 tff(22175,assumption,(trans(s199, s111)), introduced(assumption)).
% 22.35/22.71 tff(22176,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22177,plain,
% 22.35/22.71 (((~trans(s199, s111)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s111)) <=> (until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22178,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111))))),
% 22.35/22.71 inference(monotonicity,[status(thm)],[22177])).
% 22.35/22.71 tff(22179,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111)))),
% 22.35/22.71 inference(transitivity,[status(thm)],[22178, 22176])).
% 22.35/22.71 tff(22180,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s111)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s111))),
% 22.35/22.71 inference(quant_inst,[status(thm)],[])).
% 22.35/22.71 tff(22181,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s111))),
% 22.35/22.71 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 22.35/22.71 tff(22182,plain,
% 22.35/22.71 ($false),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22181, 20124, 22175, 22062, 22174, 22063])).
% 22.35/22.71 tff(22183,plain,((~trans(s199, s111)) | until2p29(s111) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.71 tff(22184,plain,
% 22.35/22.71 (~trans(s199, s111)),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22183, 21032, 20114])).
% 22.35/22.71 tff(22185,assumption,(~until2p29(s32)), introduced(assumption)).
% 22.35/22.71 tff(22186,assumption,(trans(s199, s32)), introduced(assumption)).
% 22.35/22.71 tff(22187,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22188,plain,
% 22.35/22.71 (((~trans(s199, s32)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s32)) <=> (until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32)))),
% 22.35/22.71 inference(rewrite,[status(thm)],[])).
% 22.35/22.71 tff(22189,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32))))),
% 22.35/22.71 inference(monotonicity,[status(thm)],[22188])).
% 22.35/22.71 tff(22190,plain,
% 22.35/22.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32)))),
% 22.35/22.71 inference(transitivity,[status(thm)],[22189, 22187])).
% 22.35/22.71 tff(22191,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s32)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s32))),
% 22.35/22.71 inference(quant_inst,[status(thm)],[])).
% 22.35/22.71 tff(22192,plain,
% 22.35/22.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s32))),
% 22.35/22.71 inference(modus_ponens,[status(thm)],[22191, 22190])).
% 22.35/22.71 tff(22193,plain,
% 22.35/22.71 ($false),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22192, 20124, 22186, 22062, 22185, 22063])).
% 22.35/22.71 tff(22194,plain,((~trans(s199, s32)) | until2p29(s32) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.71 tff(22195,plain,
% 22.35/22.71 (~trans(s199, s32)),
% 22.35/22.71 inference(unit_resolution,[status(thm)],[22194, 21822, 20114])).
% 22.35/22.72 tff(22196,assumption,(~until2p29(s104)), introduced(assumption)).
% 22.35/22.72 tff(22197,assumption,(trans(s199, s104)), introduced(assumption)).
% 22.35/22.72 tff(22198,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22199,plain,
% 22.35/22.72 (((~trans(s199, s104)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s104)) <=> (until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22200,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104))))),
% 22.35/22.72 inference(monotonicity,[status(thm)],[22199])).
% 22.35/22.72 tff(22201,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104)))),
% 22.35/22.72 inference(transitivity,[status(thm)],[22200, 22198])).
% 22.35/22.72 tff(22202,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s104)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s104))),
% 22.35/22.72 inference(quant_inst,[status(thm)],[])).
% 22.35/22.72 tff(22203,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s104))),
% 22.35/22.72 inference(modus_ponens,[status(thm)],[22202, 22201])).
% 22.35/22.72 tff(22204,plain,
% 22.35/22.72 ($false),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22203, 20124, 22197, 22062, 22196, 22063])).
% 22.35/22.72 tff(22205,plain,((~trans(s199, s104)) | until2p29(s104) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.72 tff(22206,plain,
% 22.35/22.72 (~trans(s199, s104)),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22205, 21102, 20114])).
% 22.35/22.72 tff(22207,assumption,(~until2p29(s99)), introduced(assumption)).
% 22.35/22.72 tff(22208,assumption,(trans(s199, s99)), introduced(assumption)).
% 22.35/22.72 tff(22209,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22210,plain,
% 22.35/22.72 (((~trans(s199, s99)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s99)) <=> (until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22211,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99))))),
% 22.35/22.72 inference(monotonicity,[status(thm)],[22210])).
% 22.35/22.72 tff(22212,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99)))),
% 22.35/22.72 inference(transitivity,[status(thm)],[22211, 22209])).
% 22.35/22.72 tff(22213,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s99)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s99))),
% 22.35/22.72 inference(quant_inst,[status(thm)],[])).
% 22.35/22.72 tff(22214,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s99))),
% 22.35/22.72 inference(modus_ponens,[status(thm)],[22213, 22212])).
% 22.35/22.72 tff(22215,plain,
% 22.35/22.72 ($false),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22214, 20124, 22208, 22062, 22207, 22063])).
% 22.35/22.72 tff(22216,plain,((~trans(s199, s99)) | until2p29(s99) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.72 tff(22217,plain,
% 22.35/22.72 (~trans(s199, s99)),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22216, 21152, 20114])).
% 22.35/22.72 tff(22218,assumption,(~until2p29(s46)), introduced(assumption)).
% 22.35/22.72 tff(22219,assumption,(trans(s199, s46)), introduced(assumption)).
% 22.35/22.72 tff(22220,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22221,plain,
% 22.35/22.72 (((~trans(s199, s46)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s46)) <=> (until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22222,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46))))),
% 22.35/22.72 inference(monotonicity,[status(thm)],[22221])).
% 22.35/22.72 tff(22223,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46)))),
% 22.35/22.72 inference(transitivity,[status(thm)],[22222, 22220])).
% 22.35/22.72 tff(22224,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s46)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s46))),
% 22.35/22.72 inference(quant_inst,[status(thm)],[])).
% 22.35/22.72 tff(22225,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s46))),
% 22.35/22.72 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 22.35/22.72 tff(22226,plain,
% 22.35/22.72 ($false),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22225, 20124, 22219, 22062, 22218, 22063])).
% 22.35/22.72 tff(22227,plain,((~trans(s199, s46)) | until2p29(s46) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.72 tff(22228,plain,
% 22.35/22.72 (~trans(s199, s46)),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22227, 21682, 20114])).
% 22.35/22.72 tff(22229,assumption,(~until2p29(s18)), introduced(assumption)).
% 22.35/22.72 tff(22230,assumption,(trans(s199, s18)), introduced(assumption)).
% 22.35/22.72 tff(22231,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22232,plain,
% 22.35/22.72 (((~trans(s199, s18)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s18)) <=> (until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22233,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18))))),
% 22.35/22.72 inference(monotonicity,[status(thm)],[22232])).
% 22.35/22.72 tff(22234,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18)))),
% 22.35/22.72 inference(transitivity,[status(thm)],[22233, 22231])).
% 22.35/22.72 tff(22235,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s18)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s18))),
% 22.35/22.72 inference(quant_inst,[status(thm)],[])).
% 22.35/22.72 tff(22236,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s18))),
% 22.35/22.72 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 22.35/22.72 tff(22237,plain,
% 22.35/22.72 ($false),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22236, 20124, 22230, 22062, 22229, 22063])).
% 22.35/22.72 tff(22238,plain,((~trans(s199, s18)) | until2p29(s18) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.72 tff(22239,plain,
% 22.35/22.72 (~trans(s199, s18)),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22238, 21962, 20114])).
% 22.35/22.72 tff(22240,assumption,(~until2p29(s84)), introduced(assumption)).
% 22.35/22.72 tff(22241,assumption,(trans(s199, s84)), introduced(assumption)).
% 22.35/22.72 tff(22242,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22243,plain,
% 22.35/22.72 (((~trans(s199, s84)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s84)) <=> (until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84)))),
% 22.35/22.72 inference(rewrite,[status(thm)],[])).
% 22.35/22.72 tff(22244,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84))))),
% 22.35/22.72 inference(monotonicity,[status(thm)],[22243])).
% 22.35/22.72 tff(22245,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84)))),
% 22.35/22.72 inference(transitivity,[status(thm)],[22244, 22242])).
% 22.35/22.72 tff(22246,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s84)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s84))),
% 22.35/22.72 inference(quant_inst,[status(thm)],[])).
% 22.35/22.72 tff(22247,plain,
% 22.35/22.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s84))),
% 22.35/22.72 inference(modus_ponens,[status(thm)],[22246, 22245])).
% 22.35/22.72 tff(22248,plain,
% 22.35/22.72 ($false),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22247, 20124, 22241, 22062, 22240, 22063])).
% 22.35/22.72 tff(22249,plain,((~trans(s199, s84)) | until2p29(s84) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.72 tff(22250,plain,
% 22.35/22.72 (~trans(s199, s84)),
% 22.35/22.72 inference(unit_resolution,[status(thm)],[22249, 21302, 20114])).
% 22.35/22.72 tff(22251,assumption,(~until2p29(s51)), introduced(assumption)).
% 22.35/22.72 tff(22252,assumption,(trans(s199, s51)), introduced(assumption)).
% 22.35/22.72 tff(22253,plain,
% 22.35/22.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22254,plain,
% 22.35/22.73 (((~trans(s199, s51)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s51)) <=> (until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22255,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51))))),
% 22.35/22.73 inference(monotonicity,[status(thm)],[22254])).
% 22.35/22.73 tff(22256,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51)))),
% 22.35/22.73 inference(transitivity,[status(thm)],[22255, 22253])).
% 22.35/22.73 tff(22257,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s51)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s51))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22258,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s51))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 22.35/22.73 tff(22259,plain,
% 22.35/22.73 ($false),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22258, 20124, 22252, 22062, 22251, 22063])).
% 22.35/22.73 tff(22260,plain,((~trans(s199, s51)) | until2p29(s51) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.73 tff(22261,plain,
% 22.35/22.73 (~trans(s199, s51)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22260, 21632, 20114])).
% 22.35/22.73 tff(22262,assumption,(~until2p29(s43)), introduced(assumption)).
% 22.35/22.73 tff(22263,assumption,(trans(s199, s43)), introduced(assumption)).
% 22.35/22.73 tff(22264,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22265,plain,
% 22.35/22.73 (((~trans(s199, s43)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s43)) <=> (until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22266,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43))))),
% 22.35/22.73 inference(monotonicity,[status(thm)],[22265])).
% 22.35/22.73 tff(22267,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43)))),
% 22.35/22.73 inference(transitivity,[status(thm)],[22266, 22264])).
% 22.35/22.73 tff(22268,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s43)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s43))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22269,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s43))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22268, 22267])).
% 22.35/22.73 tff(22270,plain,
% 22.35/22.73 ($false),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22269, 20124, 22263, 22062, 22262, 22063])).
% 22.35/22.73 tff(22271,plain,((~trans(s199, s43)) | until2p29(s43) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.73 tff(22272,plain,
% 22.35/22.73 (~trans(s199, s43)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22271, 21712, 20114])).
% 22.35/22.73 tff(22273,assumption,(~until2p29(s166)), introduced(assumption)).
% 22.35/22.73 tff(22274,assumption,(trans(s199, s166)), introduced(assumption)).
% 22.35/22.73 tff(22275,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22276,plain,
% 22.35/22.73 (((~trans(s199, s166)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s166)) <=> (until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22277,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166))))),
% 22.35/22.73 inference(monotonicity,[status(thm)],[22276])).
% 22.35/22.73 tff(22278,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166)))),
% 22.35/22.73 inference(transitivity,[status(thm)],[22277, 22275])).
% 22.35/22.73 tff(22279,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s166)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s166))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22280,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s166))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 22.35/22.73 tff(22281,plain,
% 22.35/22.73 ($false),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22280, 20124, 22274, 22062, 22273, 22063])).
% 22.35/22.73 tff(22282,plain,((~trans(s199, s166)) | until2p29(s166) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.73 tff(22283,plain,
% 22.35/22.73 (~trans(s199, s166)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22282, 20482, 20114])).
% 22.35/22.73 tff(22284,assumption,(~until2p29(s137)), introduced(assumption)).
% 22.35/22.73 tff(22285,assumption,(trans(s199, s137)), introduced(assumption)).
% 22.35/22.73 tff(22286,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22287,plain,
% 22.35/22.73 (((~trans(s199, s137)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s137)) <=> (until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22288,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137))))),
% 22.35/22.73 inference(monotonicity,[status(thm)],[22287])).
% 22.35/22.73 tff(22289,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137)))),
% 22.35/22.73 inference(transitivity,[status(thm)],[22288, 22286])).
% 22.35/22.73 tff(22290,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s137)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s137))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22291,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s137))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22290, 22289])).
% 22.35/22.73 tff(22292,plain,
% 22.35/22.73 ($false),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22291, 20124, 22285, 22062, 22284, 22063])).
% 22.35/22.73 tff(22293,plain,((~trans(s199, s137)) | until2p29(s137) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.35/22.73 tff(22294,plain,
% 22.35/22.73 (~trans(s199, s137)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22293, 20772, 20114])).
% 22.35/22.73 tff(22295,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22296,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22297,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22296, 22295])).
% 22.35/22.73 tff(22298,plain,
% 22.35/22.73 (until2p29(s9) | (~xuntil2p30(s8))),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22297, 1123, 20153])).
% 22.35/22.73 tff(22299,plain,
% 22.35/22.73 (~xuntil2p30(s8)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22298, 22052])).
% 22.35/22.73 tff(22300,plain,
% 22.35/22.73 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22301,plain,
% 22.35/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22302,plain,
% 22.35/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 22.35/22.73 tff(22303,plain,
% 22.35/22.73 (xuntil2p30(s8) | (~until2p29(s8))),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22302, 20138, 17526])).
% 22.35/22.73 tff(22304,plain,
% 22.35/22.73 (~until2p29(s8)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22303, 22299])).
% 22.35/22.73 tff(22305,plain,
% 22.35/22.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.35/22.73 tff(22306,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 22.35/22.73 inference(quant_inst,[status(thm)],[])).
% 22.35/22.73 tff(22307,plain,
% 22.35/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7))),
% 22.35/22.73 inference(modus_ponens,[status(thm)],[22306, 22305])).
% 22.35/22.73 tff(22308,plain,
% 22.35/22.73 (until2p29(s8) | (~xuntil2p30(s7))),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22307, 1062, 20153])).
% 22.35/22.73 tff(22309,plain,
% 22.35/22.73 (~xuntil2p30(s7)),
% 22.35/22.73 inference(unit_resolution,[status(thm)],[22308, 22304])).
% 22.35/22.73 tff(22310,plain,
% 22.35/22.73 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 22.35/22.73 inference(rewrite,[status(thm)],[])).
% 22.37/22.73 tff(22311,plain,
% 22.37/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 22.37/22.73 inference(quant_inst,[status(thm)],[])).
% 22.37/22.73 tff(22312,plain,
% 22.37/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7))),
% 22.37/22.73 inference(modus_ponens,[status(thm)],[22311, 22310])).
% 22.37/22.73 tff(22313,plain,
% 22.37/22.73 (xuntil2p30(s7) | (~until2p29(s7))),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22312, 20138, 17343])).
% 22.37/22.73 tff(22314,plain,
% 22.37/22.73 (~until2p29(s7)),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22313, 22309])).
% 22.37/22.73 tff(22315,plain,
% 22.37/22.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 22.37/22.73 inference(rewrite,[status(thm)],[])).
% 22.37/22.73 tff(22316,plain,
% 22.37/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 22.37/22.73 inference(quant_inst,[status(thm)],[])).
% 22.37/22.73 tff(22317,plain,
% 22.37/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6))),
% 22.37/22.73 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 22.37/22.73 tff(22318,plain,
% 22.37/22.73 (until2p29(s7) | (~xuntil2p30(s6))),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22317, 984, 20153])).
% 22.37/22.73 tff(22319,plain,
% 22.37/22.73 (~xuntil2p30(s6)),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22318, 22314])).
% 22.37/22.73 tff(22320,plain,
% 22.37/22.73 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 22.37/22.73 inference(rewrite,[status(thm)],[])).
% 22.37/22.73 tff(22321,plain,
% 22.37/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 22.37/22.73 inference(quant_inst,[status(thm)],[])).
% 22.37/22.73 tff(22322,plain,
% 22.37/22.73 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6))),
% 22.37/22.73 inference(modus_ponens,[status(thm)],[22321, 22320])).
% 22.37/22.73 tff(22323,plain,
% 22.37/22.73 (xuntil2p30(s6) | (~until2p29(s6))),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22322, 20138, 17352])).
% 22.37/22.73 tff(22324,plain,
% 22.37/22.73 (~until2p29(s6)),
% 22.37/22.73 inference(unit_resolution,[status(thm)],[22323, 22319])).
% 22.37/22.73 tff(22325,plain,
% 22.37/22.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 22.37/22.73 inference(rewrite,[status(thm)],[])).
% 22.37/22.73 tff(22326,plain,
% 22.37/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 22.37/22.73 inference(quant_inst,[status(thm)],[])).
% 22.37/22.73 tff(22327,plain,
% 22.37/22.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22326, 22325])).
% 22.37/22.74 tff(22328,plain,
% 22.37/22.74 (until2p29(s6) | (~xuntil2p30(s5))),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22327, 845, 20153])).
% 22.37/22.74 tff(22329,plain,
% 22.37/22.74 (~xuntil2p30(s5)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22328, 22324])).
% 22.37/22.74 tff(22330,plain,
% 22.37/22.74 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22331,plain,
% 22.37/22.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22332,plain,
% 22.37/22.74 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22331, 22330])).
% 22.37/22.74 tff(22333,plain,
% 22.37/22.74 (xuntil2p30(s5) | (~until2p29(s5))),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22332, 20138, 17356])).
% 22.37/22.74 tff(22334,plain,
% 22.37/22.74 (~until2p29(s5)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22333, 22329])).
% 22.37/22.74 tff(22335,assumption,(~until2p29(s5)), introduced(assumption)).
% 22.37/22.74 tff(22336,assumption,(trans(s199, s5)), introduced(assumption)).
% 22.37/22.74 tff(22337,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22338,plain,
% 22.37/22.74 (((~trans(s199, s5)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s5)) <=> (until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22339,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5))))),
% 22.37/22.74 inference(monotonicity,[status(thm)],[22338])).
% 22.37/22.74 tff(22340,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5)))),
% 22.37/22.74 inference(transitivity,[status(thm)],[22339, 22337])).
% 22.37/22.74 tff(22341,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s5)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s5))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22342,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s5))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22341, 22340])).
% 22.37/22.74 tff(22343,plain,
% 22.37/22.74 ($false),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22342, 20124, 22336, 22062, 22335, 22063])).
% 22.37/22.74 tff(22344,plain,((~trans(s199, s5)) | until2p29(s5) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.74 tff(22345,plain,
% 22.37/22.74 (~trans(s199, s5)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22344, 22334, 20114])).
% 22.37/22.74 tff(22346,assumption,(~until2p29(s61)), introduced(assumption)).
% 22.37/22.74 tff(22347,assumption,(trans(s199, s61)), introduced(assumption)).
% 22.37/22.74 tff(22348,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22349,plain,
% 22.37/22.74 (((~trans(s199, s61)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s61)) <=> (until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22350,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61))))),
% 22.37/22.74 inference(monotonicity,[status(thm)],[22349])).
% 22.37/22.74 tff(22351,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61)))),
% 22.37/22.74 inference(transitivity,[status(thm)],[22350, 22348])).
% 22.37/22.74 tff(22352,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s61)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s61))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22353,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s61))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 22.37/22.74 tff(22354,plain,
% 22.37/22.74 ($false),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22353, 20124, 22347, 22062, 22346, 22063])).
% 22.37/22.74 tff(22355,plain,((~trans(s199, s61)) | until2p29(s61) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.74 tff(22356,plain,
% 22.37/22.74 (~trans(s199, s61)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22355, 21532, 20114])).
% 22.37/22.74 tff(22357,assumption,(~until2p29(s125)), introduced(assumption)).
% 22.37/22.74 tff(22358,assumption,(trans(s199, s125)), introduced(assumption)).
% 22.37/22.74 tff(22359,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22360,plain,
% 22.37/22.74 (((~trans(s199, s125)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s125)) <=> (until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22361,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125))))),
% 22.37/22.74 inference(monotonicity,[status(thm)],[22360])).
% 22.37/22.74 tff(22362,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125)))),
% 22.37/22.74 inference(transitivity,[status(thm)],[22361, 22359])).
% 22.37/22.74 tff(22363,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s125)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s125))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22364,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s125))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22363, 22362])).
% 22.37/22.74 tff(22365,plain,
% 22.37/22.74 ($false),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22364, 20124, 22358, 22062, 22357, 22063])).
% 22.37/22.74 tff(22366,plain,((~trans(s199, s125)) | until2p29(s125) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.74 tff(22367,plain,
% 22.37/22.74 (~trans(s199, s125)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22366, 20892, 20114])).
% 22.37/22.74 tff(22368,assumption,(~until2p29(s107)), introduced(assumption)).
% 22.37/22.74 tff(22369,assumption,(trans(s199, s107)), introduced(assumption)).
% 22.37/22.74 tff(22370,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22371,plain,
% 22.37/22.74 (((~trans(s199, s107)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s107)) <=> (until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22372,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107))))),
% 22.37/22.74 inference(monotonicity,[status(thm)],[22371])).
% 22.37/22.74 tff(22373,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107)))),
% 22.37/22.74 inference(transitivity,[status(thm)],[22372, 22370])).
% 22.37/22.74 tff(22374,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s107)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s107))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22375,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s107))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 22.37/22.74 tff(22376,plain,
% 22.37/22.74 ($false),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22375, 20124, 22369, 22062, 22368, 22063])).
% 22.37/22.74 tff(22377,plain,((~trans(s199, s107)) | until2p29(s107) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.74 tff(22378,plain,
% 22.37/22.74 (~trans(s199, s107)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22377, 21072, 20114])).
% 22.37/22.74 tff(22379,assumption,(~until2p29(s132)), introduced(assumption)).
% 22.37/22.74 tff(22380,assumption,(trans(s199, s132)), introduced(assumption)).
% 22.37/22.74 tff(22381,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22382,plain,
% 22.37/22.74 (((~trans(s199, s132)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s132)) <=> (until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132)))),
% 22.37/22.74 inference(rewrite,[status(thm)],[])).
% 22.37/22.74 tff(22383,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132))))),
% 22.37/22.74 inference(monotonicity,[status(thm)],[22382])).
% 22.37/22.74 tff(22384,plain,
% 22.37/22.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132)))),
% 22.37/22.74 inference(transitivity,[status(thm)],[22383, 22381])).
% 22.37/22.74 tff(22385,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s132)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s132))),
% 22.37/22.74 inference(quant_inst,[status(thm)],[])).
% 22.37/22.74 tff(22386,plain,
% 22.37/22.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s132))),
% 22.37/22.74 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 22.37/22.74 tff(22387,plain,
% 22.37/22.74 ($false),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22386, 20124, 22380, 22062, 22379, 22063])).
% 22.37/22.74 tff(22388,plain,((~trans(s199, s132)) | until2p29(s132) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.74 tff(22389,plain,
% 22.37/22.74 (~trans(s199, s132)),
% 22.37/22.74 inference(unit_resolution,[status(thm)],[22388, 20822, 20114])).
% 22.37/22.74 tff(22390,assumption,(~until2p29(s136)), introduced(assumption)).
% 22.37/22.74 tff(22391,assumption,(trans(s199, s136)), introduced(assumption)).
% 22.37/22.74 tff(22392,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22393,plain,
% 22.37/22.75 (((~trans(s199, s136)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s136)) <=> (until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22394,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136))))),
% 22.37/22.75 inference(monotonicity,[status(thm)],[22393])).
% 22.37/22.75 tff(22395,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136)))),
% 22.37/22.75 inference(transitivity,[status(thm)],[22394, 22392])).
% 22.37/22.75 tff(22396,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s136)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s136))),
% 22.37/22.75 inference(quant_inst,[status(thm)],[])).
% 22.37/22.75 tff(22397,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s136))),
% 22.37/22.75 inference(modus_ponens,[status(thm)],[22396, 22395])).
% 22.37/22.75 tff(22398,plain,
% 22.37/22.75 ($false),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22397, 20124, 22391, 22062, 22390, 22063])).
% 22.37/22.75 tff(22399,plain,((~trans(s199, s136)) | until2p29(s136) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.75 tff(22400,plain,
% 22.37/22.75 (~trans(s199, s136)),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22399, 20782, 20114])).
% 22.37/22.75 tff(22401,assumption,(~until2p29(s33)), introduced(assumption)).
% 22.37/22.75 tff(22402,assumption,(trans(s199, s33)), introduced(assumption)).
% 22.37/22.75 tff(22403,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22404,plain,
% 22.37/22.75 (((~trans(s199, s33)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s33)) <=> (until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22405,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33))))),
% 22.37/22.75 inference(monotonicity,[status(thm)],[22404])).
% 22.37/22.75 tff(22406,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33)))),
% 22.37/22.75 inference(transitivity,[status(thm)],[22405, 22403])).
% 22.37/22.75 tff(22407,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s33)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s33))),
% 22.37/22.75 inference(quant_inst,[status(thm)],[])).
% 22.37/22.75 tff(22408,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s33))),
% 22.37/22.75 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 22.37/22.75 tff(22409,plain,
% 22.37/22.75 ($false),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22408, 20124, 22402, 22062, 22401, 22063])).
% 22.37/22.75 tff(22410,plain,((~trans(s199, s33)) | until2p29(s33) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.75 tff(22411,plain,
% 22.37/22.75 (~trans(s199, s33)),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22410, 21812, 20114])).
% 22.37/22.75 tff(22412,assumption,(~until2p29(s26)), introduced(assumption)).
% 22.37/22.75 tff(22413,assumption,(trans(s199, s26)), introduced(assumption)).
% 22.37/22.75 tff(22414,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22415,plain,
% 22.37/22.75 (((~trans(s199, s26)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s26)) <=> (until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22416,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26))))),
% 22.37/22.75 inference(monotonicity,[status(thm)],[22415])).
% 22.37/22.75 tff(22417,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26)))),
% 22.37/22.75 inference(transitivity,[status(thm)],[22416, 22414])).
% 22.37/22.75 tff(22418,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s26)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s26))),
% 22.37/22.75 inference(quant_inst,[status(thm)],[])).
% 22.37/22.75 tff(22419,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s26))),
% 22.37/22.75 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 22.37/22.75 tff(22420,plain,
% 22.37/22.75 ($false),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22419, 20124, 22413, 22062, 22412, 22063])).
% 22.37/22.75 tff(22421,plain,((~trans(s199, s26)) | until2p29(s26) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.75 tff(22422,plain,
% 22.37/22.75 (~trans(s199, s26)),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22421, 21882, 20114])).
% 22.37/22.75 tff(22423,assumption,(~until2p29(s68)), introduced(assumption)).
% 22.37/22.75 tff(22424,assumption,(trans(s199, s68)), introduced(assumption)).
% 22.37/22.75 tff(22425,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22426,plain,
% 22.37/22.75 (((~trans(s199, s68)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s68)) <=> (until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22427,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68))))),
% 22.37/22.75 inference(monotonicity,[status(thm)],[22426])).
% 22.37/22.75 tff(22428,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68)))),
% 22.37/22.75 inference(transitivity,[status(thm)],[22427, 22425])).
% 22.37/22.75 tff(22429,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s68)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s68))),
% 22.37/22.75 inference(quant_inst,[status(thm)],[])).
% 22.37/22.75 tff(22430,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s68))),
% 22.37/22.75 inference(modus_ponens,[status(thm)],[22429, 22428])).
% 22.37/22.75 tff(22431,plain,
% 22.37/22.75 ($false),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22430, 20124, 22424, 22062, 22423, 22063])).
% 22.37/22.75 tff(22432,plain,((~trans(s199, s68)) | until2p29(s68) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.75 tff(22433,plain,
% 22.37/22.75 (~trans(s199, s68)),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22432, 21462, 20114])).
% 22.37/22.75 tff(22434,assumption,(~until2p29(s89)), introduced(assumption)).
% 22.37/22.75 tff(22435,assumption,(trans(s199, s89)), introduced(assumption)).
% 22.37/22.75 tff(22436,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22437,plain,
% 22.37/22.75 (((~trans(s199, s89)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s89)) <=> (until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22438,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89))))),
% 22.37/22.75 inference(monotonicity,[status(thm)],[22437])).
% 22.37/22.75 tff(22439,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89)))),
% 22.37/22.75 inference(transitivity,[status(thm)],[22438, 22436])).
% 22.37/22.75 tff(22440,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s89)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s89))),
% 22.37/22.75 inference(quant_inst,[status(thm)],[])).
% 22.37/22.75 tff(22441,plain,
% 22.37/22.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s89))),
% 22.37/22.75 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 22.37/22.75 tff(22442,plain,
% 22.37/22.75 ($false),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22441, 20124, 22435, 22062, 22434, 22063])).
% 22.37/22.75 tff(22443,plain,((~trans(s199, s89)) | until2p29(s89) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.75 tff(22444,plain,
% 22.37/22.75 (~trans(s199, s89)),
% 22.37/22.75 inference(unit_resolution,[status(thm)],[22443, 21252, 20114])).
% 22.37/22.75 tff(22445,assumption,(~until2p29(s78)), introduced(assumption)).
% 22.37/22.75 tff(22446,assumption,(trans(s199, s78)), introduced(assumption)).
% 22.37/22.75 tff(22447,plain,
% 22.37/22.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78)))),
% 22.37/22.75 inference(rewrite,[status(thm)],[])).
% 22.37/22.75 tff(22448,plain,
% 22.37/22.75 (((~trans(s199, s78)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s78)) <=> (until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22449,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78))))),
% 22.37/22.76 inference(monotonicity,[status(thm)],[22448])).
% 22.37/22.76 tff(22450,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78)))),
% 22.37/22.76 inference(transitivity,[status(thm)],[22449, 22447])).
% 22.37/22.76 tff(22451,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s78)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s78))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22452,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s78))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 22.37/22.76 tff(22453,plain,
% 22.37/22.76 ($false),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22452, 20124, 22446, 22062, 22445, 22063])).
% 22.37/22.76 tff(22454,plain,((~trans(s199, s78)) | until2p29(s78) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.76 tff(22455,plain,
% 22.37/22.76 (~trans(s199, s78)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22454, 21362, 20114])).
% 22.37/22.76 tff(22456,assumption,(~until2p29(s8)), introduced(assumption)).
% 22.37/22.76 tff(22457,assumption,(trans(s199, s8)), introduced(assumption)).
% 22.37/22.76 tff(22458,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22459,plain,
% 22.37/22.76 (((~trans(s199, s8)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s8)) <=> (until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22460,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8))))),
% 22.37/22.76 inference(monotonicity,[status(thm)],[22459])).
% 22.37/22.76 tff(22461,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8)))),
% 22.37/22.76 inference(transitivity,[status(thm)],[22460, 22458])).
% 22.37/22.76 tff(22462,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s8)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s8))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22463,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s8))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 22.37/22.76 tff(22464,plain,
% 22.37/22.76 ($false),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22463, 20124, 22457, 22062, 22456, 22063])).
% 22.37/22.76 tff(22465,plain,((~trans(s199, s8)) | until2p29(s8) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.76 tff(22466,plain,
% 22.37/22.76 (~trans(s199, s8)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22465, 22304, 20114])).
% 22.37/22.76 tff(22467,assumption,(~until2p29(s122)), introduced(assumption)).
% 22.37/22.76 tff(22468,assumption,(trans(s199, s122)), introduced(assumption)).
% 22.37/22.76 tff(22469,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22470,plain,
% 22.37/22.76 (((~trans(s199, s122)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s122)) <=> (until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22471,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122))))),
% 22.37/22.76 inference(monotonicity,[status(thm)],[22470])).
% 22.37/22.76 tff(22472,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122)))),
% 22.37/22.76 inference(transitivity,[status(thm)],[22471, 22469])).
% 22.37/22.76 tff(22473,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s122)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s122))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22474,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s122))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22473, 22472])).
% 22.37/22.76 tff(22475,plain,
% 22.37/22.76 ($false),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22474, 20124, 22468, 22062, 22467, 22063])).
% 22.37/22.76 tff(22476,plain,((~trans(s199, s122)) | until2p29(s122) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.76 tff(22477,plain,
% 22.37/22.76 (~trans(s199, s122)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22476, 20922, 20114])).
% 22.37/22.76 tff(22478,assumption,(~until2p29(s40)), introduced(assumption)).
% 22.37/22.76 tff(22479,assumption,(trans(s199, s40)), introduced(assumption)).
% 22.37/22.76 tff(22480,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22481,plain,
% 22.37/22.76 (((~trans(s199, s40)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s40)) <=> (until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22482,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40))))),
% 22.37/22.76 inference(monotonicity,[status(thm)],[22481])).
% 22.37/22.76 tff(22483,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40)))),
% 22.37/22.76 inference(transitivity,[status(thm)],[22482, 22480])).
% 22.37/22.76 tff(22484,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s40)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s40))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22485,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s40))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 22.37/22.76 tff(22486,plain,
% 22.37/22.76 ($false),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22485, 20124, 22479, 22062, 22478, 22063])).
% 22.37/22.76 tff(22487,plain,((~trans(s199, s40)) | until2p29(s40) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.76 tff(22488,plain,
% 22.37/22.76 (~trans(s199, s40)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22487, 21742, 20114])).
% 22.37/22.76 tff(22489,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22490,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22491,plain,
% 22.37/22.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 22.37/22.76 tff(22492,plain,
% 22.37/22.76 (until2p29(s5) | (~xuntil2p30(s4))),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22491, 727, 20153])).
% 22.37/22.76 tff(22493,plain,
% 22.37/22.76 (~xuntil2p30(s4)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22492, 22334])).
% 22.37/22.76 tff(22494,plain,
% 22.37/22.76 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22495,plain,
% 22.37/22.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 22.37/22.76 inference(quant_inst,[status(thm)],[])).
% 22.37/22.76 tff(22496,plain,
% 22.37/22.76 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4))),
% 22.37/22.76 inference(modus_ponens,[status(thm)],[22495, 22494])).
% 22.37/22.76 tff(22497,plain,
% 22.37/22.76 (xuntil2p30(s4) | (~until2p29(s4))),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22496, 20138, 17472])).
% 22.37/22.76 tff(22498,plain,
% 22.37/22.76 (~until2p29(s4)),
% 22.37/22.76 inference(unit_resolution,[status(thm)],[22497, 22493])).
% 22.37/22.76 tff(22499,assumption,(~until2p29(s4)), introduced(assumption)).
% 22.37/22.76 tff(22500,assumption,(trans(s199, s4)), introduced(assumption)).
% 22.37/22.76 tff(22501,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22502,plain,
% 22.37/22.76 (((~trans(s199, s4)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s4)) <=> (until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4)))),
% 22.37/22.76 inference(rewrite,[status(thm)],[])).
% 22.37/22.76 tff(22503,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4))))),
% 22.37/22.76 inference(monotonicity,[status(thm)],[22502])).
% 22.37/22.76 tff(22504,plain,
% 22.37/22.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4)))),
% 22.37/22.76 inference(transitivity,[status(thm)],[22503, 22501])).
% 22.37/22.77 tff(22505,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s4)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s4))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22506,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s4))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22505, 22504])).
% 22.37/22.77 tff(22507,plain,
% 22.37/22.77 ($false),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22506, 20124, 22500, 22062, 22499, 22063])).
% 22.37/22.77 tff(22508,plain,((~trans(s199, s4)) | until2p29(s4) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.77 tff(22509,plain,
% 22.37/22.77 (~trans(s199, s4)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22508, 22498, 20114])).
% 22.37/22.77 tff(22510,assumption,(~until2p29(s60)), introduced(assumption)).
% 22.37/22.77 tff(22511,assumption,(trans(s199, s60)), introduced(assumption)).
% 22.37/22.77 tff(22512,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22513,plain,
% 22.37/22.77 (((~trans(s199, s60)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s60)) <=> (until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22514,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60))))),
% 22.37/22.77 inference(monotonicity,[status(thm)],[22513])).
% 22.37/22.77 tff(22515,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60)))),
% 22.37/22.77 inference(transitivity,[status(thm)],[22514, 22512])).
% 22.37/22.77 tff(22516,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s60)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s60))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22517,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s60))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22516, 22515])).
% 22.37/22.77 tff(22518,plain,
% 22.37/22.77 ($false),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22517, 20124, 22511, 22062, 22510, 22063])).
% 22.37/22.77 tff(22519,plain,((~trans(s199, s60)) | until2p29(s60) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.77 tff(22520,plain,
% 22.37/22.77 (~trans(s199, s60)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22519, 21542, 20114])).
% 22.37/22.77 tff(22521,assumption,(~until2p29(s116)), introduced(assumption)).
% 22.37/22.77 tff(22522,assumption,(trans(s199, s116)), introduced(assumption)).
% 22.37/22.77 tff(22523,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22524,plain,
% 22.37/22.77 (((~trans(s199, s116)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s116)) <=> (until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22525,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116))))),
% 22.37/22.77 inference(monotonicity,[status(thm)],[22524])).
% 22.37/22.77 tff(22526,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116)))),
% 22.37/22.77 inference(transitivity,[status(thm)],[22525, 22523])).
% 22.37/22.77 tff(22527,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s116)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s116))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22528,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s116))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 22.37/22.77 tff(22529,plain,
% 22.37/22.77 ($false),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22528, 20124, 22522, 22062, 22521, 22063])).
% 22.37/22.77 tff(22530,plain,((~trans(s199, s116)) | until2p29(s116) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.77 tff(22531,plain,
% 22.37/22.77 (~trans(s199, s116)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22530, 20982, 20114])).
% 22.37/22.77 tff(22532,assumption,(~until2p29(s98)), introduced(assumption)).
% 22.37/22.77 tff(22533,assumption,(trans(s199, s98)), introduced(assumption)).
% 22.37/22.77 tff(22534,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22535,plain,
% 22.37/22.77 (((~trans(s199, s98)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s98)) <=> (until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22536,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98))))),
% 22.37/22.77 inference(monotonicity,[status(thm)],[22535])).
% 22.37/22.77 tff(22537,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98)))),
% 22.37/22.77 inference(transitivity,[status(thm)],[22536, 22534])).
% 22.37/22.77 tff(22538,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s98)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s98))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22539,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s98))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 22.37/22.77 tff(22540,plain,
% 22.37/22.77 ($false),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22539, 20124, 22533, 22062, 22532, 22063])).
% 22.37/22.77 tff(22541,plain,((~trans(s199, s98)) | until2p29(s98) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.77 tff(22542,plain,
% 22.37/22.77 (~trans(s199, s98)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22541, 21162, 20114])).
% 22.37/22.77 tff(22543,assumption,(~until2p29(s76)), introduced(assumption)).
% 22.37/22.77 tff(22544,assumption,(trans(s199, s76)), introduced(assumption)).
% 22.37/22.77 tff(22545,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22546,plain,
% 22.37/22.77 (((~trans(s199, s76)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s76)) <=> (until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22547,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76))))),
% 22.37/22.77 inference(monotonicity,[status(thm)],[22546])).
% 22.37/22.77 tff(22548,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76)))),
% 22.37/22.77 inference(transitivity,[status(thm)],[22547, 22545])).
% 22.37/22.77 tff(22549,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s76)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s76))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22550,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s76))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22549, 22548])).
% 22.37/22.77 tff(22551,plain,
% 22.37/22.77 ($false),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22550, 20124, 22544, 22062, 22543, 22063])).
% 22.37/22.77 tff(22552,plain,((~trans(s199, s76)) | until2p29(s76) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.77 tff(22553,plain,
% 22.37/22.77 (~trans(s199, s76)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22552, 21382, 20114])).
% 22.37/22.77 tff(22554,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22555,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22556,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22555, 22554])).
% 22.37/22.77 tff(22557,plain,
% 22.37/22.77 (until2p29(s4) | (~xuntil2p30(s3))),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22556, 580, 20153])).
% 22.37/22.77 tff(22558,plain,
% 22.37/22.77 (~xuntil2p30(s3)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22557, 22498])).
% 22.37/22.77 tff(22559,plain,
% 22.37/22.77 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22560,plain,
% 22.37/22.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22561,plain,
% 22.37/22.77 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22560, 22559])).
% 22.37/22.77 tff(22562,plain,
% 22.37/22.77 (xuntil2p30(s3) | (~until2p29(s3))),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22561, 20138, 17455])).
% 22.37/22.77 tff(22563,plain,
% 22.37/22.77 (~until2p29(s3)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22562, 22558])).
% 22.37/22.77 tff(22564,plain,
% 22.37/22.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 22.37/22.77 inference(rewrite,[status(thm)],[])).
% 22.37/22.77 tff(22565,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 22.37/22.77 inference(quant_inst,[status(thm)],[])).
% 22.37/22.77 tff(22566,plain,
% 22.37/22.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2))),
% 22.37/22.77 inference(modus_ponens,[status(thm)],[22565, 22564])).
% 22.37/22.77 tff(22567,plain,
% 22.37/22.77 (until2p29(s3) | (~xuntil2p30(s2))),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22566, 460, 20153])).
% 22.37/22.77 tff(22568,plain,
% 22.37/22.77 (~xuntil2p30(s2)),
% 22.37/22.77 inference(unit_resolution,[status(thm)],[22567, 22563])).
% 22.37/22.77 tff(22569,plain,
% 22.37/22.77 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22570,plain,
% 22.37/22.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22571,plain,
% 22.37/22.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 22.37/22.78 tff(22572,plain,
% 22.37/22.78 (xuntil2p30(s2) | (~until2p29(s2))),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22571, 20138, 17377])).
% 22.37/22.78 tff(22573,plain,
% 22.37/22.78 (~until2p29(s2)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22572, 22568])).
% 22.37/22.78 tff(22574,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22575,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22576,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 22.37/22.78 tff(22577,plain,
% 22.37/22.78 (until2p29(s2) | (~xuntil2p30(s1))),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22576, 256, 20153])).
% 22.37/22.78 tff(22578,plain,
% 22.37/22.78 (~xuntil2p30(s1)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22577, 22573])).
% 22.37/22.78 tff(22579,plain,
% 22.37/22.78 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22580,plain,
% 22.37/22.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22581,plain,
% 22.37/22.78 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 22.37/22.78 tff(22582,plain,
% 22.37/22.78 (xuntil2p30(s1) | (~until2p29(s1))),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22581, 20138, 17386])).
% 22.37/22.78 tff(22583,plain,
% 22.37/22.78 (~until2p29(s1)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22582, 22578])).
% 22.37/22.78 tff(22584,assumption,(~until2p29(s1)), introduced(assumption)).
% 22.37/22.78 tff(22585,assumption,(trans(s199, s1)), introduced(assumption)).
% 22.37/22.78 tff(22586,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22587,plain,
% 22.37/22.78 (((~trans(s199, s1)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s1)) <=> (until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22588,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1))))),
% 22.37/22.78 inference(monotonicity,[status(thm)],[22587])).
% 22.37/22.78 tff(22589,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1)))),
% 22.37/22.78 inference(transitivity,[status(thm)],[22588, 22586])).
% 22.37/22.78 tff(22590,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s1)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s1))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22591,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s1))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22590, 22589])).
% 22.37/22.78 tff(22592,plain,
% 22.37/22.78 ($false),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22591, 20124, 22585, 22062, 22584, 22063])).
% 22.37/22.78 tff(22593,plain,((~trans(s199, s1)) | until2p29(s1) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.78 tff(22594,plain,
% 22.37/22.78 (~trans(s199, s1)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22593, 22583, 20114])).
% 22.37/22.78 tff(22595,assumption,(~until2p29(s109)), introduced(assumption)).
% 22.37/22.78 tff(22596,assumption,(trans(s199, s109)), introduced(assumption)).
% 22.37/22.78 tff(22597,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22598,plain,
% 22.37/22.78 (((~trans(s199, s109)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s109)) <=> (until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22599,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109))))),
% 22.37/22.78 inference(monotonicity,[status(thm)],[22598])).
% 22.37/22.78 tff(22600,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109)))),
% 22.37/22.78 inference(transitivity,[status(thm)],[22599, 22597])).
% 22.37/22.78 tff(22601,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s109)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s109))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22602,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s109))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22601, 22600])).
% 22.37/22.78 tff(22603,plain,
% 22.37/22.78 ($false),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22602, 20124, 22596, 22062, 22595, 22063])).
% 22.37/22.78 tff(22604,plain,((~trans(s199, s109)) | until2p29(s109) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.78 tff(22605,plain,
% 22.37/22.78 (~trans(s199, s109)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22604, 21052, 20114])).
% 22.37/22.78 tff(22606,assumption,(~until2p29(s75)), introduced(assumption)).
% 22.37/22.78 tff(22607,assumption,(trans(s199, s75)), introduced(assumption)).
% 22.37/22.78 tff(22608,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22609,plain,
% 22.37/22.78 (((~trans(s199, s75)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s75)) <=> (until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22610,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75))))),
% 22.37/22.78 inference(monotonicity,[status(thm)],[22609])).
% 22.37/22.78 tff(22611,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75)))),
% 22.37/22.78 inference(transitivity,[status(thm)],[22610, 22608])).
% 22.37/22.78 tff(22612,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s75)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s75))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22613,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s75))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 22.37/22.78 tff(22614,plain,
% 22.37/22.78 ($false),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22613, 20124, 22607, 22062, 22606, 22063])).
% 22.37/22.78 tff(22615,plain,((~trans(s199, s75)) | until2p29(s75) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.78 tff(22616,plain,
% 22.37/22.78 (~trans(s199, s75)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22615, 21392, 20114])).
% 22.37/22.78 tff(22617,assumption,(~until2p29(s142)), introduced(assumption)).
% 22.37/22.78 tff(22618,assumption,(trans(s199, s142)), introduced(assumption)).
% 22.37/22.78 tff(22619,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22620,plain,
% 22.37/22.78 (((~trans(s199, s142)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s142)) <=> (until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22621,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142))))),
% 22.37/22.78 inference(monotonicity,[status(thm)],[22620])).
% 22.37/22.78 tff(22622,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142)))),
% 22.37/22.78 inference(transitivity,[status(thm)],[22621, 22619])).
% 22.37/22.78 tff(22623,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s142)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s142))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22624,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s142))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22623, 22622])).
% 22.37/22.78 tff(22625,plain,
% 22.37/22.78 ($false),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22624, 20124, 22618, 22062, 22617, 22063])).
% 22.37/22.78 tff(22626,plain,((~trans(s199, s142)) | until2p29(s142) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.78 tff(22627,plain,
% 22.37/22.78 (~trans(s199, s142)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22626, 20722, 20114])).
% 22.37/22.78 tff(22628,assumption,(~until2p29(s176)), introduced(assumption)).
% 22.37/22.78 tff(22629,assumption,(trans(s199, s176)), introduced(assumption)).
% 22.37/22.78 tff(22630,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22631,plain,
% 22.37/22.78 (((~trans(s199, s176)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s176)) <=> (until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22632,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176))))),
% 22.37/22.78 inference(monotonicity,[status(thm)],[22631])).
% 22.37/22.78 tff(22633,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176)))),
% 22.37/22.78 inference(transitivity,[status(thm)],[22632, 22630])).
% 22.37/22.78 tff(22634,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s176)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s176))),
% 22.37/22.78 inference(quant_inst,[status(thm)],[])).
% 22.37/22.78 tff(22635,plain,
% 22.37/22.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s176))),
% 22.37/22.78 inference(modus_ponens,[status(thm)],[22634, 22633])).
% 22.37/22.78 tff(22636,plain,
% 22.37/22.78 ($false),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22635, 20124, 22629, 22062, 22628, 22063])).
% 22.37/22.78 tff(22637,plain,((~trans(s199, s176)) | until2p29(s176) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.78 tff(22638,plain,
% 22.37/22.78 (~trans(s199, s176)),
% 22.37/22.78 inference(unit_resolution,[status(thm)],[22637, 20382, 20114])).
% 22.37/22.78 tff(22639,assumption,(~until2p29(s70)), introduced(assumption)).
% 22.37/22.78 tff(22640,assumption,(trans(s199, s70)), introduced(assumption)).
% 22.37/22.78 tff(22641,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22642,plain,
% 22.37/22.78 (((~trans(s199, s70)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s70)) <=> (until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70)))),
% 22.37/22.78 inference(rewrite,[status(thm)],[])).
% 22.37/22.78 tff(22643,plain,
% 22.37/22.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22642])).
% 22.37/22.79 tff(22644,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70)))),
% 22.37/22.79 inference(transitivity,[status(thm)],[22643, 22641])).
% 22.37/22.79 tff(22645,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s70)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s70))),
% 22.37/22.79 inference(quant_inst,[status(thm)],[])).
% 22.37/22.79 tff(22646,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s70))),
% 22.37/22.79 inference(modus_ponens,[status(thm)],[22645, 22644])).
% 22.37/22.79 tff(22647,plain,
% 22.37/22.79 ($false),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22646, 20124, 22640, 22062, 22639, 22063])).
% 22.37/22.79 tff(22648,plain,((~trans(s199, s70)) | until2p29(s70) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.79 tff(22649,plain,
% 22.37/22.79 (~trans(s199, s70)),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22648, 21442, 20114])).
% 22.37/22.79 tff(22650,assumption,(~until2p29(s133)), introduced(assumption)).
% 22.37/22.79 tff(22651,assumption,(trans(s199, s133)), introduced(assumption)).
% 22.37/22.79 tff(22652,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22653,plain,
% 22.37/22.79 (((~trans(s199, s133)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s133)) <=> (until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22654,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22653])).
% 22.37/22.79 tff(22655,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133)))),
% 22.37/22.79 inference(transitivity,[status(thm)],[22654, 22652])).
% 22.37/22.79 tff(22656,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s133)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s133))),
% 22.37/22.79 inference(quant_inst,[status(thm)],[])).
% 22.37/22.79 tff(22657,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s133))),
% 22.37/22.79 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 22.37/22.79 tff(22658,plain,
% 22.37/22.79 ($false),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22657, 20124, 22651, 22062, 22650, 22063])).
% 22.37/22.79 tff(22659,plain,((~trans(s199, s133)) | until2p29(s133) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.79 tff(22660,plain,
% 22.37/22.79 (~trans(s199, s133)),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22659, 20812, 20114])).
% 22.37/22.79 tff(22661,assumption,(~until2p29(s93)), introduced(assumption)).
% 22.37/22.79 tff(22662,assumption,(trans(s199, s93)), introduced(assumption)).
% 22.37/22.79 tff(22663,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22664,plain,
% 22.37/22.79 (((~trans(s199, s93)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s93)) <=> (until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22665,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22664])).
% 22.37/22.79 tff(22666,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93)))),
% 22.37/22.79 inference(transitivity,[status(thm)],[22665, 22663])).
% 22.37/22.79 tff(22667,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s93)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s93))),
% 22.37/22.79 inference(quant_inst,[status(thm)],[])).
% 22.37/22.79 tff(22668,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s93))),
% 22.37/22.79 inference(modus_ponens,[status(thm)],[22667, 22666])).
% 22.37/22.79 tff(22669,plain,
% 22.37/22.79 ($false),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22668, 20124, 22662, 22062, 22661, 22063])).
% 22.37/22.79 tff(22670,plain,((~trans(s199, s93)) | until2p29(s93) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.79 tff(22671,plain,
% 22.37/22.79 (~trans(s199, s93)),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22670, 21212, 20114])).
% 22.37/22.79 tff(22672,assumption,(~until2p29(s179)), introduced(assumption)).
% 22.37/22.79 tff(22673,assumption,(trans(s199, s179)), introduced(assumption)).
% 22.37/22.79 tff(22674,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22675,plain,
% 22.37/22.79 (((~trans(s199, s179)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s179)) <=> (until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22676,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22675])).
% 22.37/22.79 tff(22677,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179)))),
% 22.37/22.79 inference(transitivity,[status(thm)],[22676, 22674])).
% 22.37/22.79 tff(22678,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s179)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s179))),
% 22.37/22.79 inference(quant_inst,[status(thm)],[])).
% 22.37/22.79 tff(22679,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s179))),
% 22.37/22.79 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 22.37/22.79 tff(22680,plain,
% 22.37/22.79 ($false),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22679, 20124, 22673, 22062, 22672, 22063])).
% 22.37/22.79 tff(22681,plain,((~trans(s199, s179)) | until2p29(s179) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.79 tff(22682,plain,
% 22.37/22.79 (~trans(s199, s179)),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22681, 20352, 20114])).
% 22.37/22.79 tff(22683,assumption,(~until2p29(s49)), introduced(assumption)).
% 22.37/22.79 tff(22684,assumption,(trans(s199, s49)), introduced(assumption)).
% 22.37/22.79 tff(22685,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22686,plain,
% 22.37/22.79 (((~trans(s199, s49)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s49)) <=> (until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22687,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22686])).
% 22.37/22.79 tff(22688,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49)))),
% 22.37/22.79 inference(transitivity,[status(thm)],[22687, 22685])).
% 22.37/22.79 tff(22689,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s49)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s49))),
% 22.37/22.79 inference(quant_inst,[status(thm)],[])).
% 22.37/22.79 tff(22690,plain,
% 22.37/22.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s49))),
% 22.37/22.79 inference(modus_ponens,[status(thm)],[22689, 22688])).
% 22.37/22.79 tff(22691,plain,
% 22.37/22.79 ($false),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22690, 20124, 22684, 22062, 22683, 22063])).
% 22.37/22.79 tff(22692,plain,((~trans(s199, s49)) | until2p29(s49) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.79 tff(22693,plain,
% 22.37/22.79 (~trans(s199, s49)),
% 22.37/22.79 inference(unit_resolution,[status(thm)],[22692, 21652, 20114])).
% 22.37/22.79 tff(22694,assumption,(~until2p29(s28)), introduced(assumption)).
% 22.37/22.79 tff(22695,assumption,(trans(s199, s28)), introduced(assumption)).
% 22.37/22.79 tff(22696,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22697,plain,
% 22.37/22.79 (((~trans(s199, s28)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s28)) <=> (until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28)))),
% 22.37/22.79 inference(rewrite,[status(thm)],[])).
% 22.37/22.79 tff(22698,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28))))),
% 22.37/22.79 inference(monotonicity,[status(thm)],[22697])).
% 22.37/22.79 tff(22699,plain,
% 22.37/22.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22698, 22696])).
% 22.37/22.80 tff(22700,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s28)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s28))),
% 22.37/22.80 inference(quant_inst,[status(thm)],[])).
% 22.37/22.80 tff(22701,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s28))),
% 22.37/22.80 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 22.37/22.80 tff(22702,plain,
% 22.37/22.80 ($false),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22701, 20124, 22695, 22062, 22694, 22063])).
% 22.37/22.80 tff(22703,plain,((~trans(s199, s28)) | until2p29(s28) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.80 tff(22704,plain,
% 22.37/22.80 (~trans(s199, s28)),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22703, 21862, 20114])).
% 22.37/22.80 tff(22705,assumption,(~until2p29(s152)), introduced(assumption)).
% 22.37/22.80 tff(22706,assumption,(trans(s199, s152)), introduced(assumption)).
% 22.37/22.80 tff(22707,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22708,plain,
% 22.37/22.80 (((~trans(s199, s152)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s152)) <=> (until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22709,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152))))),
% 22.37/22.80 inference(monotonicity,[status(thm)],[22708])).
% 22.37/22.80 tff(22710,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22709, 22707])).
% 22.37/22.80 tff(22711,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s152)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s152))),
% 22.37/22.80 inference(quant_inst,[status(thm)],[])).
% 22.37/22.80 tff(22712,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s152))),
% 22.37/22.80 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 22.37/22.80 tff(22713,plain,
% 22.37/22.80 ($false),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22712, 20124, 22706, 22062, 22705, 22063])).
% 22.37/22.80 tff(22714,plain,((~trans(s199, s152)) | until2p29(s152) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.80 tff(22715,plain,
% 22.37/22.80 (~trans(s199, s152)),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22714, 20622, 20114])).
% 22.37/22.80 tff(22716,assumption,(~until2p29(s57)), introduced(assumption)).
% 22.37/22.80 tff(22717,assumption,(trans(s199, s57)), introduced(assumption)).
% 22.37/22.80 tff(22718,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22719,plain,
% 22.37/22.80 (((~trans(s199, s57)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s57)) <=> (until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22720,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57))))),
% 22.37/22.80 inference(monotonicity,[status(thm)],[22719])).
% 22.37/22.80 tff(22721,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22720, 22718])).
% 22.37/22.80 tff(22722,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s57)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s57))),
% 22.37/22.80 inference(quant_inst,[status(thm)],[])).
% 22.37/22.80 tff(22723,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s57))),
% 22.37/22.80 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 22.37/22.80 tff(22724,plain,
% 22.37/22.80 ($false),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22723, 20124, 22717, 22062, 22716, 22063])).
% 22.37/22.80 tff(22725,plain,((~trans(s199, s57)) | until2p29(s57) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.80 tff(22726,plain,
% 22.37/22.80 (~trans(s199, s57)),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22725, 21572, 20114])).
% 22.37/22.80 tff(22727,assumption,(~until2p29(s185)), introduced(assumption)).
% 22.37/22.80 tff(22728,assumption,(trans(s199, s185)), introduced(assumption)).
% 22.37/22.80 tff(22729,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22730,plain,
% 22.37/22.80 (((~trans(s199, s185)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s185)) <=> (until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22731,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185))))),
% 22.37/22.80 inference(monotonicity,[status(thm)],[22730])).
% 22.37/22.80 tff(22732,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22731, 22729])).
% 22.37/22.80 tff(22733,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s185)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s185))),
% 22.37/22.80 inference(quant_inst,[status(thm)],[])).
% 22.37/22.80 tff(22734,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s185))),
% 22.37/22.80 inference(modus_ponens,[status(thm)],[22733, 22732])).
% 22.37/22.80 tff(22735,plain,
% 22.37/22.80 ($false),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22734, 20124, 22728, 22062, 22727, 22063])).
% 22.37/22.80 tff(22736,plain,((~trans(s199, s185)) | until2p29(s185) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.80 tff(22737,plain,
% 22.37/22.80 (~trans(s199, s185)),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22736, 20292, 20114])).
% 22.37/22.80 tff(22738,assumption,(~until2p29(s81)), introduced(assumption)).
% 22.37/22.80 tff(22739,assumption,(trans(s199, s81)), introduced(assumption)).
% 22.37/22.80 tff(22740,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22741,plain,
% 22.37/22.80 (((~trans(s199, s81)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s81)) <=> (until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22742,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81))))),
% 22.37/22.80 inference(monotonicity,[status(thm)],[22741])).
% 22.37/22.80 tff(22743,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22742, 22740])).
% 22.37/22.80 tff(22744,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s81)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s81))),
% 22.37/22.80 inference(quant_inst,[status(thm)],[])).
% 22.37/22.80 tff(22745,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s81))),
% 22.37/22.80 inference(modus_ponens,[status(thm)],[22744, 22743])).
% 22.37/22.80 tff(22746,plain,
% 22.37/22.80 ($false),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22745, 20124, 22739, 22062, 22738, 22063])).
% 22.37/22.80 tff(22747,plain,((~trans(s199, s81)) | until2p29(s81) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.80 tff(22748,plain,
% 22.37/22.80 (~trans(s199, s81)),
% 22.37/22.80 inference(unit_resolution,[status(thm)],[22747, 21332, 20114])).
% 22.37/22.80 tff(22749,assumption,(~until2p29(s52)), introduced(assumption)).
% 22.37/22.80 tff(22750,assumption,(trans(s199, s52)), introduced(assumption)).
% 22.37/22.80 tff(22751,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22752,plain,
% 22.37/22.80 (((~trans(s199, s52)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s52)) <=> (until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52)))),
% 22.37/22.80 inference(rewrite,[status(thm)],[])).
% 22.37/22.80 tff(22753,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52))))),
% 22.37/22.80 inference(monotonicity,[status(thm)],[22752])).
% 22.37/22.80 tff(22754,plain,
% 22.37/22.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52)))),
% 22.37/22.80 inference(transitivity,[status(thm)],[22753, 22751])).
% 22.37/22.80 tff(22755,plain,
% 22.37/22.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s52)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s52))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22756,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s52))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 22.37/22.81 tff(22757,plain,
% 22.37/22.81 ($false),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22756, 20124, 22750, 22062, 22749, 22063])).
% 22.37/22.81 tff(22758,plain,((~trans(s199, s52)) | until2p29(s52) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.81 tff(22759,plain,
% 22.37/22.81 (~trans(s199, s52)),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22758, 21622, 20114])).
% 22.37/22.81 tff(22760,assumption,(~until2p29(s17)), introduced(assumption)).
% 22.37/22.81 tff(22761,assumption,(trans(s199, s17)), introduced(assumption)).
% 22.37/22.81 tff(22762,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22763,plain,
% 22.37/22.81 (((~trans(s199, s17)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s17)) <=> (until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22764,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17))))),
% 22.37/22.81 inference(monotonicity,[status(thm)],[22763])).
% 22.37/22.81 tff(22765,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17)))),
% 22.37/22.81 inference(transitivity,[status(thm)],[22764, 22762])).
% 22.37/22.81 tff(22766,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s17)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s17))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22767,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s17))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 22.37/22.81 tff(22768,plain,
% 22.37/22.81 ($false),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22767, 20124, 22761, 22062, 22760, 22063])).
% 22.37/22.81 tff(22769,plain,((~trans(s199, s17)) | until2p29(s17) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.81 tff(22770,plain,
% 22.37/22.81 (~trans(s199, s17)),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22769, 21972, 20114])).
% 22.37/22.81 tff(22771,assumption,(~until2p29(s36)), introduced(assumption)).
% 22.37/22.81 tff(22772,assumption,(trans(s199, s36)), introduced(assumption)).
% 22.37/22.81 tff(22773,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22774,plain,
% 22.37/22.81 (((~trans(s199, s36)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s36)) <=> (until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22775,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36))))),
% 22.37/22.81 inference(monotonicity,[status(thm)],[22774])).
% 22.37/22.81 tff(22776,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36)))),
% 22.37/22.81 inference(transitivity,[status(thm)],[22775, 22773])).
% 22.37/22.81 tff(22777,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s36)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s36))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22778,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s36))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 22.37/22.81 tff(22779,plain,
% 22.37/22.81 ($false),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22778, 20124, 22772, 22062, 22771, 22063])).
% 22.37/22.81 tff(22780,plain,((~trans(s199, s36)) | until2p29(s36) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.81 tff(22781,plain,
% 22.37/22.81 (~trans(s199, s36)),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22780, 21782, 20114])).
% 22.37/22.81 tff(22782,assumption,(~until2p29(s87)), introduced(assumption)).
% 22.37/22.81 tff(22783,assumption,(trans(s199, s87)), introduced(assumption)).
% 22.37/22.81 tff(22784,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22785,plain,
% 22.37/22.81 (((~trans(s199, s87)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s87)) <=> (until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22786,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87))))),
% 22.37/22.81 inference(monotonicity,[status(thm)],[22785])).
% 22.37/22.81 tff(22787,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87)))),
% 22.37/22.81 inference(transitivity,[status(thm)],[22786, 22784])).
% 22.37/22.81 tff(22788,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s87)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s87))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22789,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s87))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 22.37/22.81 tff(22790,plain,
% 22.37/22.81 ($false),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22789, 20124, 22783, 22062, 22782, 22063])).
% 22.37/22.81 tff(22791,plain,((~trans(s199, s87)) | until2p29(s87) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.81 tff(22792,plain,
% 22.37/22.81 (~trans(s199, s87)),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22791, 21272, 20114])).
% 22.37/22.81 tff(22793,assumption,(~until2p29(s123)), introduced(assumption)).
% 22.37/22.81 tff(22794,assumption,(trans(s199, s123)), introduced(assumption)).
% 22.37/22.81 tff(22795,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22796,plain,
% 22.37/22.81 (((~trans(s199, s123)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s123)) <=> (until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22797,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123))))),
% 22.37/22.81 inference(monotonicity,[status(thm)],[22796])).
% 22.37/22.81 tff(22798,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123)))),
% 22.37/22.81 inference(transitivity,[status(thm)],[22797, 22795])).
% 22.37/22.81 tff(22799,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s123)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s123))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22800,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s123))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22799, 22798])).
% 22.37/22.81 tff(22801,plain,
% 22.37/22.81 ($false),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22800, 20124, 22794, 22062, 22793, 22063])).
% 22.37/22.81 tff(22802,plain,((~trans(s199, s123)) | until2p29(s123) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.81 tff(22803,plain,
% 22.37/22.81 (~trans(s199, s123)),
% 22.37/22.81 inference(unit_resolution,[status(thm)],[22802, 20912, 20114])).
% 22.37/22.81 tff(22804,assumption,(~until2p29(s24)), introduced(assumption)).
% 22.37/22.81 tff(22805,assumption,(trans(s199, s24)), introduced(assumption)).
% 22.37/22.81 tff(22806,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22807,plain,
% 22.37/22.81 (((~trans(s199, s24)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s24)) <=> (until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24)))),
% 22.37/22.81 inference(rewrite,[status(thm)],[])).
% 22.37/22.81 tff(22808,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24))))),
% 22.37/22.81 inference(monotonicity,[status(thm)],[22807])).
% 22.37/22.81 tff(22809,plain,
% 22.37/22.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24)))),
% 22.37/22.81 inference(transitivity,[status(thm)],[22808, 22806])).
% 22.37/22.81 tff(22810,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s24)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s24))),
% 22.37/22.81 inference(quant_inst,[status(thm)],[])).
% 22.37/22.81 tff(22811,plain,
% 22.37/22.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s24))),
% 22.37/22.81 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 22.37/22.82 tff(22812,plain,
% 22.37/22.82 ($false),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22811, 20124, 22805, 22062, 22804, 22063])).
% 22.37/22.82 tff(22813,plain,((~trans(s199, s24)) | until2p29(s24) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.82 tff(22814,plain,
% 22.37/22.82 (~trans(s199, s24)),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22813, 21902, 20114])).
% 22.37/22.82 tff(22815,assumption,(~until2p29(s91)), introduced(assumption)).
% 22.37/22.82 tff(22816,assumption,(trans(s199, s91)), introduced(assumption)).
% 22.37/22.82 tff(22817,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22818,plain,
% 22.37/22.82 (((~trans(s199, s91)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s91)) <=> (until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22819,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91))))),
% 22.37/22.82 inference(monotonicity,[status(thm)],[22818])).
% 22.37/22.82 tff(22820,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91)))),
% 22.37/22.82 inference(transitivity,[status(thm)],[22819, 22817])).
% 22.37/22.82 tff(22821,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s91)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s91))),
% 22.37/22.82 inference(quant_inst,[status(thm)],[])).
% 22.37/22.82 tff(22822,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s91))),
% 22.37/22.82 inference(modus_ponens,[status(thm)],[22821, 22820])).
% 22.37/22.82 tff(22823,plain,
% 22.37/22.82 ($false),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22822, 20124, 22816, 22062, 22815, 22063])).
% 22.37/22.82 tff(22824,plain,((~trans(s199, s91)) | until2p29(s91) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.82 tff(22825,plain,
% 22.37/22.82 (~trans(s199, s91)),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22824, 21232, 20114])).
% 22.37/22.82 tff(22826,assumption,(~until2p29(s38)), introduced(assumption)).
% 22.37/22.82 tff(22827,assumption,(trans(s199, s38)), introduced(assumption)).
% 22.37/22.82 tff(22828,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22829,plain,
% 22.37/22.82 (((~trans(s199, s38)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s38)) <=> (until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22830,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38))))),
% 22.37/22.82 inference(monotonicity,[status(thm)],[22829])).
% 22.37/22.82 tff(22831,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38)))),
% 22.37/22.82 inference(transitivity,[status(thm)],[22830, 22828])).
% 22.37/22.82 tff(22832,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s38)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s38))),
% 22.37/22.82 inference(quant_inst,[status(thm)],[])).
% 22.37/22.82 tff(22833,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s38))),
% 22.37/22.82 inference(modus_ponens,[status(thm)],[22832, 22831])).
% 22.37/22.82 tff(22834,plain,
% 22.37/22.82 ($false),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22833, 20124, 22827, 22062, 22826, 22063])).
% 22.37/22.82 tff(22835,plain,((~trans(s199, s38)) | until2p29(s38) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.82 tff(22836,plain,
% 22.37/22.82 (~trans(s199, s38)),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22835, 21762, 20114])).
% 22.37/22.82 tff(22837,assumption,(~until2p29(s16)), introduced(assumption)).
% 22.37/22.82 tff(22838,assumption,(trans(s199, s16)), introduced(assumption)).
% 22.37/22.82 tff(22839,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22840,plain,
% 22.37/22.82 (((~trans(s199, s16)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s16)) <=> (until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22841,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16))))),
% 22.37/22.82 inference(monotonicity,[status(thm)],[22840])).
% 22.37/22.82 tff(22842,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16)))),
% 22.37/22.82 inference(transitivity,[status(thm)],[22841, 22839])).
% 22.37/22.82 tff(22843,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s16)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s16))),
% 22.37/22.82 inference(quant_inst,[status(thm)],[])).
% 22.37/22.82 tff(22844,plain,
% 22.37/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s16))),
% 22.37/22.82 inference(modus_ponens,[status(thm)],[22843, 22842])).
% 22.37/22.82 tff(22845,plain,
% 22.37/22.82 ($false),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22844, 20124, 22838, 22062, 22837, 22063])).
% 22.37/22.82 tff(22846,plain,((~trans(s199, s16)) | until2p29(s16) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.37/22.82 tff(22847,plain,
% 22.37/22.82 (~trans(s199, s16)),
% 22.37/22.82 inference(unit_resolution,[status(thm)],[22846, 21982, 20114])).
% 22.37/22.82 tff(22848,assumption,(~until2p29(s27)), introduced(assumption)).
% 22.37/22.82 tff(22849,assumption,(trans(s199, s27)), introduced(assumption)).
% 22.37/22.82 tff(22850,plain,
% 22.37/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27)))),
% 22.37/22.82 inference(rewrite,[status(thm)],[])).
% 22.37/22.82 tff(22851,plain,
% 22.37/22.82 (((~trans(s199, s27)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s27)) <=> (until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22852,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27))))),
% 22.45/22.82 inference(monotonicity,[status(thm)],[22851])).
% 22.45/22.82 tff(22853,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27)))),
% 22.45/22.82 inference(transitivity,[status(thm)],[22852, 22850])).
% 22.45/22.82 tff(22854,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s27)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s27))),
% 22.45/22.82 inference(quant_inst,[status(thm)],[])).
% 22.45/22.82 tff(22855,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s27))),
% 22.45/22.82 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 22.45/22.82 tff(22856,plain,
% 22.45/22.82 ($false),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22855, 20124, 22849, 22062, 22848, 22063])).
% 22.45/22.82 tff(22857,plain,((~trans(s199, s27)) | until2p29(s27) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.82 tff(22858,plain,
% 22.45/22.82 (~trans(s199, s27)),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22857, 21872, 20114])).
% 22.45/22.82 tff(22859,assumption,(~until2p29(s64)), introduced(assumption)).
% 22.45/22.82 tff(22860,assumption,(trans(s199, s64)), introduced(assumption)).
% 22.45/22.82 tff(22861,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22862,plain,
% 22.45/22.82 (((~trans(s199, s64)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s64)) <=> (until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22863,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64))))),
% 22.45/22.82 inference(monotonicity,[status(thm)],[22862])).
% 22.45/22.82 tff(22864,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64)))),
% 22.45/22.82 inference(transitivity,[status(thm)],[22863, 22861])).
% 22.45/22.82 tff(22865,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s64)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s64))),
% 22.45/22.82 inference(quant_inst,[status(thm)],[])).
% 22.45/22.82 tff(22866,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s64))),
% 22.45/22.82 inference(modus_ponens,[status(thm)],[22865, 22864])).
% 22.45/22.82 tff(22867,plain,
% 22.45/22.82 ($false),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22866, 20124, 22860, 22062, 22859, 22063])).
% 22.45/22.82 tff(22868,plain,((~trans(s199, s64)) | until2p29(s64) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.82 tff(22869,plain,
% 22.45/22.82 (~trans(s199, s64)),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22868, 21502, 20114])).
% 22.45/22.82 tff(22870,assumption,(~until2p29(s85)), introduced(assumption)).
% 22.45/22.82 tff(22871,assumption,(trans(s199, s85)), introduced(assumption)).
% 22.45/22.82 tff(22872,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22873,plain,
% 22.45/22.82 (((~trans(s199, s85)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s85)) <=> (until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22874,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85))))),
% 22.45/22.82 inference(monotonicity,[status(thm)],[22873])).
% 22.45/22.82 tff(22875,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85)))),
% 22.45/22.82 inference(transitivity,[status(thm)],[22874, 22872])).
% 22.45/22.82 tff(22876,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s85)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s85))),
% 22.45/22.82 inference(quant_inst,[status(thm)],[])).
% 22.45/22.82 tff(22877,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s85))),
% 22.45/22.82 inference(modus_ponens,[status(thm)],[22876, 22875])).
% 22.45/22.82 tff(22878,plain,
% 22.45/22.82 ($false),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22877, 20124, 22871, 22062, 22870, 22063])).
% 22.45/22.82 tff(22879,plain,((~trans(s199, s85)) | until2p29(s85) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.82 tff(22880,plain,
% 22.45/22.82 (~trans(s199, s85)),
% 22.45/22.82 inference(unit_resolution,[status(thm)],[22879, 21292, 20114])).
% 22.45/22.82 tff(22881,assumption,(~until2p29(s131)), introduced(assumption)).
% 22.45/22.82 tff(22882,assumption,(trans(s199, s131)), introduced(assumption)).
% 22.45/22.82 tff(22883,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22884,plain,
% 22.45/22.82 (((~trans(s199, s131)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s131)) <=> (until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131)))),
% 22.45/22.82 inference(rewrite,[status(thm)],[])).
% 22.45/22.82 tff(22885,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131))))),
% 22.45/22.82 inference(monotonicity,[status(thm)],[22884])).
% 22.45/22.82 tff(22886,plain,
% 22.45/22.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131)))),
% 22.45/22.82 inference(transitivity,[status(thm)],[22885, 22883])).
% 22.45/22.82 tff(22887,plain,
% 22.45/22.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s131)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s131))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22888,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s131))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 22.45/22.83 tff(22889,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22888, 20124, 22882, 22062, 22881, 22063])).
% 22.45/22.83 tff(22890,plain,((~trans(s199, s131)) | until2p29(s131) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.83 tff(22891,plain,
% 22.45/22.83 (~trans(s199, s131)),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22890, 20832, 20114])).
% 22.45/22.83 tff(22892,assumption,(~until2p29(s41)), introduced(assumption)).
% 22.45/22.83 tff(22893,assumption,(trans(s199, s41)), introduced(assumption)).
% 22.45/22.83 tff(22894,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22895,plain,
% 22.45/22.83 (((~trans(s199, s41)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s41)) <=> (until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22896,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41))))),
% 22.45/22.83 inference(monotonicity,[status(thm)],[22895])).
% 22.45/22.83 tff(22897,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41)))),
% 22.45/22.83 inference(transitivity,[status(thm)],[22896, 22894])).
% 22.45/22.83 tff(22898,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s41)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s41))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22899,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s41))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22898, 22897])).
% 22.45/22.83 tff(22900,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22899, 20124, 22893, 22062, 22892, 22063])).
% 22.45/22.83 tff(22901,plain,((~trans(s199, s41)) | until2p29(s41) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.83 tff(22902,plain,
% 22.45/22.83 (~trans(s199, s41)),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22901, 21732, 20114])).
% 22.45/22.83 tff(22903,assumption,(~until2p29(s121)), introduced(assumption)).
% 22.45/22.83 tff(22904,assumption,(trans(s199, s121)), introduced(assumption)).
% 22.45/22.83 tff(22905,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22906,plain,
% 22.45/22.83 (((~trans(s199, s121)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s121)) <=> (until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22907,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121))))),
% 22.45/22.83 inference(monotonicity,[status(thm)],[22906])).
% 22.45/22.83 tff(22908,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121)))),
% 22.45/22.83 inference(transitivity,[status(thm)],[22907, 22905])).
% 22.45/22.83 tff(22909,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s121)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s121))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22910,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s121))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 22.45/22.83 tff(22911,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22910, 20124, 22904, 22062, 22903, 22063])).
% 22.45/22.83 tff(22912,plain,((~trans(s199, s121)) | until2p29(s121) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.83 tff(22913,plain,
% 22.45/22.83 (~trans(s199, s121)),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22912, 20932, 20114])).
% 22.45/22.83 tff(22914,assumption,(~until2p29(s39)), introduced(assumption)).
% 22.45/22.83 tff(22915,assumption,(trans(s199, s39)), introduced(assumption)).
% 22.45/22.83 tff(22916,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22917,plain,
% 22.45/22.83 (((~trans(s199, s39)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s39)) <=> (until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22918,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39))))),
% 22.45/22.83 inference(monotonicity,[status(thm)],[22917])).
% 22.45/22.83 tff(22919,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39)))),
% 22.45/22.83 inference(transitivity,[status(thm)],[22918, 22916])).
% 22.45/22.83 tff(22920,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s39)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s39))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22921,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s39))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 22.45/22.83 tff(22922,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22921, 20124, 22915, 22062, 22914, 22063])).
% 22.45/22.83 tff(22923,plain,((~trans(s199, s39)) | until2p29(s39) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.83 tff(22924,plain,
% 22.45/22.83 (~trans(s199, s39)),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22923, 21752, 20114])).
% 22.45/22.83 tff(22925,assumption,(~until2p29(s79)), introduced(assumption)).
% 22.45/22.83 tff(22926,assumption,(trans(s199, s79)), introduced(assumption)).
% 22.45/22.83 tff(22927,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22928,plain,
% 22.45/22.83 (((~trans(s199, s79)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s79)) <=> (until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22929,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79))))),
% 22.45/22.83 inference(monotonicity,[status(thm)],[22928])).
% 22.45/22.83 tff(22930,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79)))),
% 22.45/22.83 inference(transitivity,[status(thm)],[22929, 22927])).
% 22.45/22.83 tff(22931,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s79)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s79))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22932,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s79))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 22.45/22.83 tff(22933,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22932, 20124, 22926, 22062, 22925, 22063])).
% 22.45/22.83 tff(22934,plain,((~trans(s199, s79)) | until2p29(s79) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.83 tff(22935,plain,
% 22.45/22.83 (~trans(s199, s79)),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22934, 21352, 20114])).
% 22.45/22.83 tff(22936,assumption,(~until2p29(s30)), introduced(assumption)).
% 22.45/22.83 tff(22937,assumption,(trans(s199, s30)), introduced(assumption)).
% 22.45/22.83 tff(22938,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22939,plain,
% 22.45/22.83 (((~trans(s199, s30)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s30)) <=> (until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30)))),
% 22.45/22.83 inference(rewrite,[status(thm)],[])).
% 22.45/22.83 tff(22940,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30))))),
% 22.45/22.83 inference(monotonicity,[status(thm)],[22939])).
% 22.45/22.83 tff(22941,plain,
% 22.45/22.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30)))),
% 22.45/22.83 inference(transitivity,[status(thm)],[22940, 22938])).
% 22.45/22.83 tff(22942,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s30)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s30))),
% 22.45/22.83 inference(quant_inst,[status(thm)],[])).
% 22.45/22.83 tff(22943,plain,
% 22.45/22.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s30))),
% 22.45/22.83 inference(modus_ponens,[status(thm)],[22942, 22941])).
% 22.45/22.83 tff(22944,plain,
% 22.45/22.83 ($false),
% 22.45/22.83 inference(unit_resolution,[status(thm)],[22943, 20124, 22937, 22062, 22936, 22063])).
% 22.45/22.84 tff(22945,plain,((~trans(s199, s30)) | until2p29(s30) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(22946,plain,
% 22.45/22.84 (~trans(s199, s30)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22945, 21842, 20114])).
% 22.45/22.84 tff(22947,assumption,(~until2p29(s11)), introduced(assumption)).
% 22.45/22.84 tff(22948,assumption,(trans(s199, s11)), introduced(assumption)).
% 22.45/22.84 tff(22949,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22950,plain,
% 22.45/22.84 (((~trans(s199, s11)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s11)) <=> (until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22951,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11))))),
% 22.45/22.84 inference(monotonicity,[status(thm)],[22950])).
% 22.45/22.84 tff(22952,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11)))),
% 22.45/22.84 inference(transitivity,[status(thm)],[22951, 22949])).
% 22.45/22.84 tff(22953,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s11)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s11))),
% 22.45/22.84 inference(quant_inst,[status(thm)],[])).
% 22.45/22.84 tff(22954,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s11))),
% 22.45/22.84 inference(modus_ponens,[status(thm)],[22953, 22952])).
% 22.45/22.84 tff(22955,plain,
% 22.45/22.84 ($false),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22954, 20124, 22948, 22062, 22947, 22063])).
% 22.45/22.84 tff(22956,plain,((~trans(s199, s11)) | until2p29(s11) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(22957,plain,
% 22.45/22.84 (~trans(s199, s11)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22956, 22032, 20114])).
% 22.45/22.84 tff(22958,assumption,(~until2p29(s45)), introduced(assumption)).
% 22.45/22.84 tff(22959,assumption,(trans(s199, s45)), introduced(assumption)).
% 22.45/22.84 tff(22960,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22961,plain,
% 22.45/22.84 (((~trans(s199, s45)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s45)) <=> (until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22962,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45))))),
% 22.45/22.84 inference(monotonicity,[status(thm)],[22961])).
% 22.45/22.84 tff(22963,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45)))),
% 22.45/22.84 inference(transitivity,[status(thm)],[22962, 22960])).
% 22.45/22.84 tff(22964,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s45)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s45))),
% 22.45/22.84 inference(quant_inst,[status(thm)],[])).
% 22.45/22.84 tff(22965,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s45))),
% 22.45/22.84 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 22.45/22.84 tff(22966,plain,
% 22.45/22.84 ($false),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22965, 20124, 22959, 22062, 22958, 22063])).
% 22.45/22.84 tff(22967,plain,((~trans(s199, s45)) | until2p29(s45) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(22968,plain,
% 22.45/22.84 (~trans(s199, s45)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22967, 21692, 20114])).
% 22.45/22.84 tff(22969,assumption,(~until2p29(s20)), introduced(assumption)).
% 22.45/22.84 tff(22970,assumption,(trans(s199, s20)), introduced(assumption)).
% 22.45/22.84 tff(22971,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22972,plain,
% 22.45/22.84 (((~trans(s199, s20)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s20)) <=> (until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22973,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20))))),
% 22.45/22.84 inference(monotonicity,[status(thm)],[22972])).
% 22.45/22.84 tff(22974,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20)))),
% 22.45/22.84 inference(transitivity,[status(thm)],[22973, 22971])).
% 22.45/22.84 tff(22975,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s20)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s20))),
% 22.45/22.84 inference(quant_inst,[status(thm)],[])).
% 22.45/22.84 tff(22976,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s20))),
% 22.45/22.84 inference(modus_ponens,[status(thm)],[22975, 22974])).
% 22.45/22.84 tff(22977,plain,
% 22.45/22.84 ($false),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22976, 20124, 22970, 22062, 22969, 22063])).
% 22.45/22.84 tff(22978,plain,((~trans(s199, s20)) | until2p29(s20) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(22979,plain,
% 22.45/22.84 (~trans(s199, s20)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22978, 21942, 20114])).
% 22.45/22.84 tff(22980,assumption,(~until2p29(s48)), introduced(assumption)).
% 22.45/22.84 tff(22981,assumption,(trans(s199, s48)), introduced(assumption)).
% 22.45/22.84 tff(22982,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22983,plain,
% 22.45/22.84 (((~trans(s199, s48)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s48)) <=> (until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22984,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48))))),
% 22.45/22.84 inference(monotonicity,[status(thm)],[22983])).
% 22.45/22.84 tff(22985,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48)))),
% 22.45/22.84 inference(transitivity,[status(thm)],[22984, 22982])).
% 22.45/22.84 tff(22986,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s48)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s48))),
% 22.45/22.84 inference(quant_inst,[status(thm)],[])).
% 22.45/22.84 tff(22987,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s48))),
% 22.45/22.84 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 22.45/22.84 tff(22988,plain,
% 22.45/22.84 ($false),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22987, 20124, 22981, 22062, 22980, 22063])).
% 22.45/22.84 tff(22989,plain,((~trans(s199, s48)) | until2p29(s48) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(22990,plain,
% 22.45/22.84 (~trans(s199, s48)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22989, 21662, 20114])).
% 22.45/22.84 tff(22991,assumption,(~until2p29(s47)), introduced(assumption)).
% 22.45/22.84 tff(22992,assumption,(trans(s199, s47)), introduced(assumption)).
% 22.45/22.84 tff(22993,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22994,plain,
% 22.45/22.84 (((~trans(s199, s47)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s47)) <=> (until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47)))),
% 22.45/22.84 inference(rewrite,[status(thm)],[])).
% 22.45/22.84 tff(22995,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47))))),
% 22.45/22.84 inference(monotonicity,[status(thm)],[22994])).
% 22.45/22.84 tff(22996,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47)))),
% 22.45/22.84 inference(transitivity,[status(thm)],[22995, 22993])).
% 22.45/22.84 tff(22997,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s47)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s47))),
% 22.45/22.84 inference(quant_inst,[status(thm)],[])).
% 22.45/22.84 tff(22998,plain,
% 22.45/22.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s47))),
% 22.45/22.84 inference(modus_ponens,[status(thm)],[22997, 22996])).
% 22.45/22.84 tff(22999,plain,
% 22.45/22.84 ($false),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[22998, 20124, 22992, 22062, 22991, 22063])).
% 22.45/22.84 tff(23000,plain,((~trans(s199, s47)) | until2p29(s47) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.84 tff(23001,plain,
% 22.45/22.84 (~trans(s199, s47)),
% 22.45/22.84 inference(unit_resolution,[status(thm)],[23000, 21672, 20114])).
% 22.45/22.84 tff(23002,assumption,(~until2p29(s62)), introduced(assumption)).
% 22.45/22.84 tff(23003,assumption,(trans(s199, s62)), introduced(assumption)).
% 22.45/22.84 tff(23004,plain,
% 22.45/22.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23005,plain,
% 22.45/22.85 (((~trans(s199, s62)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s62)) <=> (until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23006,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62))))),
% 22.45/22.85 inference(monotonicity,[status(thm)],[23005])).
% 22.45/22.85 tff(23007,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62)))),
% 22.45/22.85 inference(transitivity,[status(thm)],[23006, 23004])).
% 22.45/22.85 tff(23008,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s62)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s62))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23009,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s62))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 22.45/22.85 tff(23010,plain,
% 22.45/22.85 ($false),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23009, 20124, 23003, 22062, 23002, 22063])).
% 22.45/22.85 tff(23011,plain,((~trans(s199, s62)) | until2p29(s62) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.85 tff(23012,plain,
% 22.45/22.85 (~trans(s199, s62)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23011, 21522, 20114])).
% 22.45/22.85 tff(23013,assumption,(~until2p29(s71)), introduced(assumption)).
% 22.45/22.85 tff(23014,assumption,(trans(s199, s71)), introduced(assumption)).
% 22.45/22.85 tff(23015,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23016,plain,
% 22.45/22.85 (((~trans(s199, s71)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s71)) <=> (until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23017,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71))))),
% 22.45/22.85 inference(monotonicity,[status(thm)],[23016])).
% 22.45/22.85 tff(23018,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71)))),
% 22.45/22.85 inference(transitivity,[status(thm)],[23017, 23015])).
% 22.45/22.85 tff(23019,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s71)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s71))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23020,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s71))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 22.45/22.85 tff(23021,plain,
% 22.45/22.85 ($false),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23020, 20124, 23014, 22062, 23013, 22063])).
% 22.45/22.85 tff(23022,plain,((~trans(s199, s71)) | until2p29(s71) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.85 tff(23023,plain,
% 22.45/22.85 (~trans(s199, s71)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23022, 21432, 20114])).
% 22.45/22.85 tff(23024,assumption,(~until2p29(s56)), introduced(assumption)).
% 22.45/22.85 tff(23025,assumption,(trans(s199, s56)), introduced(assumption)).
% 22.45/22.85 tff(23026,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23027,plain,
% 22.45/22.85 (((~trans(s199, s56)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s56)) <=> (until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23028,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56))))),
% 22.45/22.85 inference(monotonicity,[status(thm)],[23027])).
% 22.45/22.85 tff(23029,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56)))),
% 22.45/22.85 inference(transitivity,[status(thm)],[23028, 23026])).
% 22.45/22.85 tff(23030,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s56)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s56))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23031,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s56))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23030, 23029])).
% 22.45/22.85 tff(23032,plain,
% 22.45/22.85 ($false),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23031, 20124, 23025, 22062, 23024, 22063])).
% 22.45/22.85 tff(23033,plain,((~trans(s199, s56)) | until2p29(s56) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.85 tff(23034,plain,
% 22.45/22.85 (~trans(s199, s56)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23033, 21582, 20114])).
% 22.45/22.85 tff(23035,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23036,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23037,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 22.45/22.85 tff(23038,plain,
% 22.45/22.85 (until2p29(s1) | (~xuntil2p30(s0))),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23037, 60, 20153])).
% 22.45/22.85 tff(23039,plain,
% 22.45/22.85 (~xuntil2p30(s0)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23038, 22583])).
% 22.45/22.85 tff(23040,plain,
% 22.45/22.85 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23041,plain,
% 22.45/22.85 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23042,plain,
% 22.45/22.85 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23041, 23040])).
% 22.45/22.85 tff(23043,plain,
% 22.45/22.85 (xuntil2p30(s0) | (~until2p29(s0))),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23042, 20138, 17390])).
% 22.45/22.85 tff(23044,plain,
% 22.45/22.85 (~until2p29(s0)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23043, 23039])).
% 22.45/22.85 tff(23045,assumption,(~until2p29(s0)), introduced(assumption)).
% 22.45/22.85 tff(23046,assumption,(trans(s199, s0)), introduced(assumption)).
% 22.45/22.85 tff(23047,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23048,plain,
% 22.45/22.85 (((~trans(s199, s0)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0)) <=> ((~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23049,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0))))),
% 22.45/22.85 inference(monotonicity,[status(thm)],[23048])).
% 22.45/22.85 tff(23050,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0)))),
% 22.45/22.85 inference(transitivity,[status(thm)],[23049, 23047])).
% 22.45/22.85 tff(23051,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s0)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0))),
% 22.45/22.85 inference(quant_inst,[status(thm)],[])).
% 22.45/22.85 tff(23052,plain,
% 22.45/22.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s0) | (~trans(s199, s0))),
% 22.45/22.85 inference(modus_ponens,[status(thm)],[23051, 23050])).
% 22.45/22.85 tff(23053,plain,
% 22.45/22.85 ($false),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23052, 20124, 23046, 22062, 22063, 23045])).
% 22.45/22.85 tff(23054,plain,((~trans(s199, s0)) | (~xuntil28(s199)) | until2p29(s0)), inference(lemma,lemma(discharge,[]))).
% 22.45/22.85 tff(23055,plain,
% 22.45/22.85 (~trans(s199, s0)),
% 22.45/22.85 inference(unit_resolution,[status(thm)],[23054, 23044, 20114])).
% 22.45/22.85 tff(23056,assumption,(~until2p29(s117)), introduced(assumption)).
% 22.45/22.85 tff(23057,assumption,(trans(s199, s117)), introduced(assumption)).
% 22.45/22.85 tff(23058,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23059,plain,
% 22.45/22.85 (((~trans(s199, s117)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s117)) <=> (until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117)))),
% 22.45/22.85 inference(rewrite,[status(thm)],[])).
% 22.45/22.85 tff(23060,plain,
% 22.45/22.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117))))),
% 22.45/22.85 inference(monotonicity,[status(thm)],[23059])).
% 22.45/22.86 tff(23061,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23060, 23058])).
% 22.45/22.86 tff(23062,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s117)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s117))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23063,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s117))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 22.45/22.86 tff(23064,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23063, 20124, 23057, 22062, 23056, 22063])).
% 22.45/22.86 tff(23065,plain,((~trans(s199, s117)) | until2p29(s117) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23066,plain,
% 22.45/22.86 (~trans(s199, s117)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23065, 20972, 20114])).
% 22.45/22.86 tff(23067,assumption,(~until2p29(s25)), introduced(assumption)).
% 22.45/22.86 tff(23068,assumption,(trans(s199, s25)), introduced(assumption)).
% 22.45/22.86 tff(23069,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23070,plain,
% 22.45/22.86 (((~trans(s199, s25)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s25)) <=> (until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23071,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23070])).
% 22.45/22.86 tff(23072,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23071, 23069])).
% 22.45/22.86 tff(23073,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s25)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s25))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23074,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s25))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 22.45/22.86 tff(23075,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23074, 20124, 23068, 22062, 23067, 22063])).
% 22.45/22.86 tff(23076,plain,((~trans(s199, s25)) | until2p29(s25) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23077,plain,
% 22.45/22.86 (~trans(s199, s25)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23076, 21892, 20114])).
% 22.45/22.86 tff(23078,assumption,(~until2p29(s128)), introduced(assumption)).
% 22.45/22.86 tff(23079,assumption,(trans(s199, s128)), introduced(assumption)).
% 22.45/22.86 tff(23080,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23081,plain,
% 22.45/22.86 (((~trans(s199, s128)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s128)) <=> (until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23082,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23081])).
% 22.45/22.86 tff(23083,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23082, 23080])).
% 22.45/22.86 tff(23084,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s128)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s128))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23085,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s128))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23084, 23083])).
% 22.45/22.86 tff(23086,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23085, 20124, 23079, 22062, 23078, 22063])).
% 22.45/22.86 tff(23087,plain,((~trans(s199, s128)) | until2p29(s128) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23088,plain,
% 22.45/22.86 (~trans(s199, s128)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23087, 20862, 20114])).
% 22.45/22.86 tff(23089,assumption,(~until2p29(s150)), introduced(assumption)).
% 22.45/22.86 tff(23090,assumption,(trans(s199, s150)), introduced(assumption)).
% 22.45/22.86 tff(23091,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23092,plain,
% 22.45/22.86 (((~trans(s199, s150)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s150)) <=> (until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23093,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23092])).
% 22.45/22.86 tff(23094,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23093, 23091])).
% 22.45/22.86 tff(23095,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s150)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s150))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23096,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s150))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23095, 23094])).
% 22.45/22.86 tff(23097,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23096, 20124, 23090, 22062, 23089, 22063])).
% 22.45/22.86 tff(23098,plain,((~trans(s199, s150)) | until2p29(s150) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23099,plain,
% 22.45/22.86 (~trans(s199, s150)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23098, 20642, 20114])).
% 22.45/22.86 tff(23100,assumption,(~until2p29(s37)), introduced(assumption)).
% 22.45/22.86 tff(23101,assumption,(trans(s199, s37)), introduced(assumption)).
% 22.45/22.86 tff(23102,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23103,plain,
% 22.45/22.86 (((~trans(s199, s37)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s37)) <=> (until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23104,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23103])).
% 22.45/22.86 tff(23105,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23104, 23102])).
% 22.45/22.86 tff(23106,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s37)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s37))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23107,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s37))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23106, 23105])).
% 22.45/22.86 tff(23108,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23107, 20124, 23101, 22062, 23100, 22063])).
% 22.45/22.86 tff(23109,plain,((~trans(s199, s37)) | until2p29(s37) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23110,plain,
% 22.45/22.86 (~trans(s199, s37)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23109, 21772, 20114])).
% 22.45/22.86 tff(23111,assumption,(~until2p29(s54)), introduced(assumption)).
% 22.45/22.86 tff(23112,assumption,(trans(s199, s54)), introduced(assumption)).
% 22.45/22.86 tff(23113,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23114,plain,
% 22.45/22.86 (((~trans(s199, s54)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s54)) <=> (until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23115,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23114])).
% 22.45/22.86 tff(23116,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23115, 23113])).
% 22.45/22.86 tff(23117,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s54)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s54))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23118,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s54))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 22.45/22.86 tff(23119,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23118, 20124, 23112, 22062, 23111, 22063])).
% 22.45/22.86 tff(23120,plain,((~trans(s199, s54)) | until2p29(s54) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23121,plain,
% 22.45/22.86 (~trans(s199, s54)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23120, 21602, 20114])).
% 22.45/22.86 tff(23122,assumption,(~until2p29(s95)), introduced(assumption)).
% 22.45/22.86 tff(23123,assumption,(trans(s199, s95)), introduced(assumption)).
% 22.45/22.86 tff(23124,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23125,plain,
% 22.45/22.86 (((~trans(s199, s95)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s95)) <=> (until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23126,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95))))),
% 22.45/22.86 inference(monotonicity,[status(thm)],[23125])).
% 22.45/22.86 tff(23127,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95)))),
% 22.45/22.86 inference(transitivity,[status(thm)],[23126, 23124])).
% 22.45/22.86 tff(23128,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s95)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s95))),
% 22.45/22.86 inference(quant_inst,[status(thm)],[])).
% 22.45/22.86 tff(23129,plain,
% 22.45/22.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s95))),
% 22.45/22.86 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 22.45/22.86 tff(23130,plain,
% 22.45/22.86 ($false),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23129, 20124, 23123, 22062, 23122, 22063])).
% 22.45/22.86 tff(23131,plain,((~trans(s199, s95)) | until2p29(s95) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.86 tff(23132,plain,
% 22.45/22.86 (~trans(s199, s95)),
% 22.45/22.86 inference(unit_resolution,[status(thm)],[23131, 21192, 20114])).
% 22.45/22.86 tff(23133,assumption,(~until2p29(s13)), introduced(assumption)).
% 22.45/22.86 tff(23134,assumption,(trans(s199, s13)), introduced(assumption)).
% 22.45/22.86 tff(23135,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23136,plain,
% 22.45/22.86 (((~trans(s199, s13)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s13)) <=> (until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13)))),
% 22.45/22.86 inference(rewrite,[status(thm)],[])).
% 22.45/22.86 tff(23137,plain,
% 22.45/22.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23136])).
% 22.45/22.87 tff(23138,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13)))),
% 22.45/22.87 inference(transitivity,[status(thm)],[23137, 23135])).
% 22.45/22.87 tff(23139,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s13)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s13))),
% 22.45/22.87 inference(quant_inst,[status(thm)],[])).
% 22.45/22.87 tff(23140,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s13))),
% 22.45/22.87 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 22.45/22.87 tff(23141,plain,
% 22.45/22.87 ($false),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23140, 20124, 23134, 22062, 23133, 22063])).
% 22.45/22.87 tff(23142,plain,((~trans(s199, s13)) | until2p29(s13) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.87 tff(23143,plain,
% 22.45/22.87 (~trans(s199, s13)),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23142, 22012, 20114])).
% 22.45/22.87 tff(23144,assumption,(~until2p29(s66)), introduced(assumption)).
% 22.45/22.87 tff(23145,assumption,(trans(s199, s66)), introduced(assumption)).
% 22.45/22.87 tff(23146,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23147,plain,
% 22.45/22.87 (((~trans(s199, s66)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s66)) <=> (until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23148,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23147])).
% 22.45/22.87 tff(23149,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66)))),
% 22.45/22.87 inference(transitivity,[status(thm)],[23148, 23146])).
% 22.45/22.87 tff(23150,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s66)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s66))),
% 22.45/22.87 inference(quant_inst,[status(thm)],[])).
% 22.45/22.87 tff(23151,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s66))),
% 22.45/22.87 inference(modus_ponens,[status(thm)],[23150, 23149])).
% 22.45/22.87 tff(23152,plain,
% 22.45/22.87 ($false),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23151, 20124, 23145, 22062, 23144, 22063])).
% 22.45/22.87 tff(23153,plain,((~trans(s199, s66)) | until2p29(s66) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.87 tff(23154,plain,
% 22.45/22.87 (~trans(s199, s66)),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23153, 21482, 20114])).
% 22.45/22.87 tff(23155,assumption,(~until2p29(s113)), introduced(assumption)).
% 22.45/22.87 tff(23156,assumption,(trans(s199, s113)), introduced(assumption)).
% 22.45/22.87 tff(23157,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23158,plain,
% 22.45/22.87 (((~trans(s199, s113)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s113)) <=> (until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23159,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23158])).
% 22.45/22.87 tff(23160,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113)))),
% 22.45/22.87 inference(transitivity,[status(thm)],[23159, 23157])).
% 22.45/22.87 tff(23161,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s113)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s113))),
% 22.45/22.87 inference(quant_inst,[status(thm)],[])).
% 22.45/22.87 tff(23162,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s113))),
% 22.45/22.87 inference(modus_ponens,[status(thm)],[23161, 23160])).
% 22.45/22.87 tff(23163,plain,
% 22.45/22.87 ($false),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23162, 20124, 23156, 22062, 23155, 22063])).
% 22.45/22.87 tff(23164,plain,((~trans(s199, s113)) | until2p29(s113) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.87 tff(23165,plain,
% 22.45/22.87 (~trans(s199, s113)),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23164, 21012, 20114])).
% 22.45/22.87 tff(23166,assumption,(~until2p29(s88)), introduced(assumption)).
% 22.45/22.87 tff(23167,assumption,(trans(s199, s88)), introduced(assumption)).
% 22.45/22.87 tff(23168,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23169,plain,
% 22.45/22.87 (((~trans(s199, s88)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s88)) <=> (until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23170,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23169])).
% 22.45/22.87 tff(23171,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88)))),
% 22.45/22.87 inference(transitivity,[status(thm)],[23170, 23168])).
% 22.45/22.87 tff(23172,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s88)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s88))),
% 22.45/22.87 inference(quant_inst,[status(thm)],[])).
% 22.45/22.87 tff(23173,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s88))),
% 22.45/22.87 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 22.45/22.87 tff(23174,plain,
% 22.45/22.87 ($false),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23173, 20124, 23167, 22062, 23166, 22063])).
% 22.45/22.87 tff(23175,plain,((~trans(s199, s88)) | until2p29(s88) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.87 tff(23176,plain,
% 22.45/22.87 (~trans(s199, s88)),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23175, 21262, 20114])).
% 22.45/22.87 tff(23177,assumption,(~until2p29(s194)), introduced(assumption)).
% 22.45/22.87 tff(23178,assumption,(trans(s199, s194)), introduced(assumption)).
% 22.45/22.87 tff(23179,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23180,plain,
% 22.45/22.87 (((~trans(s199, s194)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s194)) <=> (until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23181,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23180])).
% 22.45/22.87 tff(23182,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194)))),
% 22.45/22.87 inference(transitivity,[status(thm)],[23181, 23179])).
% 22.45/22.87 tff(23183,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s194)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s194))),
% 22.45/22.87 inference(quant_inst,[status(thm)],[])).
% 22.45/22.87 tff(23184,plain,
% 22.45/22.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s194))),
% 22.45/22.87 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 22.45/22.87 tff(23185,plain,
% 22.45/22.87 ($false),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23184, 20124, 23178, 22062, 23177, 22063])).
% 22.45/22.87 tff(23186,plain,((~trans(s199, s194)) | until2p29(s194) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.87 tff(23187,plain,
% 22.45/22.87 (~trans(s199, s194)),
% 22.45/22.87 inference(unit_resolution,[status(thm)],[23186, 20202, 20114])).
% 22.45/22.87 tff(23188,assumption,(~until2p29(s90)), introduced(assumption)).
% 22.45/22.87 tff(23189,assumption,(trans(s199, s90)), introduced(assumption)).
% 22.45/22.87 tff(23190,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23191,plain,
% 22.45/22.87 (((~trans(s199, s90)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s90)) <=> (until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90)))),
% 22.45/22.87 inference(rewrite,[status(thm)],[])).
% 22.45/22.87 tff(23192,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90))))),
% 22.45/22.87 inference(monotonicity,[status(thm)],[23191])).
% 22.45/22.87 tff(23193,plain,
% 22.45/22.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90)))),
% 22.45/22.88 inference(transitivity,[status(thm)],[23192, 23190])).
% 22.45/22.88 tff(23194,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s90)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s90))),
% 22.45/22.88 inference(quant_inst,[status(thm)],[])).
% 22.45/22.88 tff(23195,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s90))),
% 22.45/22.88 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 22.45/22.88 tff(23196,plain,
% 22.45/22.88 ($false),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23195, 20124, 23189, 22062, 23188, 22063])).
% 22.45/22.88 tff(23197,plain,((~trans(s199, s90)) | until2p29(s90) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.88 tff(23198,plain,
% 22.45/22.88 (~trans(s199, s90)),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23197, 21242, 20114])).
% 22.45/22.88 tff(23199,assumption,(~until2p29(s31)), introduced(assumption)).
% 22.45/22.88 tff(23200,assumption,(trans(s199, s31)), introduced(assumption)).
% 22.45/22.88 tff(23201,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23202,plain,
% 22.45/22.88 (((~trans(s199, s31)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s31)) <=> (until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23203,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31))))),
% 22.45/22.88 inference(monotonicity,[status(thm)],[23202])).
% 22.45/22.88 tff(23204,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31)))),
% 22.45/22.88 inference(transitivity,[status(thm)],[23203, 23201])).
% 22.45/22.88 tff(23205,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s31)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s31))),
% 22.45/22.88 inference(quant_inst,[status(thm)],[])).
% 22.45/22.88 tff(23206,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s31))),
% 22.45/22.88 inference(modus_ponens,[status(thm)],[23205, 23204])).
% 22.45/22.88 tff(23207,plain,
% 22.45/22.88 ($false),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23206, 20124, 23200, 22062, 23199, 22063])).
% 22.45/22.88 tff(23208,plain,((~trans(s199, s31)) | until2p29(s31) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.88 tff(23209,plain,
% 22.45/22.88 (~trans(s199, s31)),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23208, 21832, 20114])).
% 22.45/22.88 tff(23210,assumption,(~until2p29(s105)), introduced(assumption)).
% 22.45/22.88 tff(23211,assumption,(trans(s199, s105)), introduced(assumption)).
% 22.45/22.88 tff(23212,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23213,plain,
% 22.45/22.88 (((~trans(s199, s105)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s105)) <=> (until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23214,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105))))),
% 22.45/22.88 inference(monotonicity,[status(thm)],[23213])).
% 22.45/22.88 tff(23215,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105)))),
% 22.45/22.88 inference(transitivity,[status(thm)],[23214, 23212])).
% 22.45/22.88 tff(23216,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s105)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s105))),
% 22.45/22.88 inference(quant_inst,[status(thm)],[])).
% 22.45/22.88 tff(23217,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s105))),
% 22.45/22.88 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 22.45/22.88 tff(23218,plain,
% 22.45/22.88 ($false),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23217, 20124, 23211, 22062, 23210, 22063])).
% 22.45/22.88 tff(23219,plain,((~trans(s199, s105)) | until2p29(s105) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.45/22.88 tff(23220,plain,
% 22.45/22.88 (~trans(s199, s105)),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23219, 21092, 20114])).
% 22.45/22.88 tff(23221,assumption,(~until2p29(s173)), introduced(assumption)).
% 22.45/22.88 tff(23222,assumption,(trans(s199, s173)), introduced(assumption)).
% 22.45/22.88 tff(23223,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23224,plain,
% 22.45/22.88 (((~trans(s199, s173)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s173)) <=> (until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173)))),
% 22.45/22.88 inference(rewrite,[status(thm)],[])).
% 22.45/22.88 tff(23225,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173))))),
% 22.45/22.88 inference(monotonicity,[status(thm)],[23224])).
% 22.45/22.88 tff(23226,plain,
% 22.45/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173)))),
% 22.45/22.88 inference(transitivity,[status(thm)],[23225, 23223])).
% 22.45/22.88 tff(23227,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s173)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s173))),
% 22.45/22.88 inference(quant_inst,[status(thm)],[])).
% 22.45/22.88 tff(23228,plain,
% 22.45/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s173))),
% 22.45/22.88 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 22.45/22.88 tff(23229,plain,
% 22.45/22.88 ($false),
% 22.45/22.88 inference(unit_resolution,[status(thm)],[23228, 20124, 23222, 22062, 23221, 22063])).
% 22.45/22.88 tff(23230,plain,((~trans(s199, s173)) | until2p29(s173) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.88 tff(23231,plain,
% 22.51/22.88 (~trans(s199, s173)),
% 22.51/22.88 inference(unit_resolution,[status(thm)],[23230, 20412, 20114])).
% 22.51/22.88 tff(23232,assumption,(~until2p29(s2)), introduced(assumption)).
% 22.51/22.88 tff(23233,assumption,(trans(s199, s2)), introduced(assumption)).
% 22.51/22.88 tff(23234,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2)))),
% 22.51/22.88 inference(rewrite,[status(thm)],[])).
% 22.51/22.88 tff(23235,plain,
% 22.51/22.88 (((~trans(s199, s2)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s2)) <=> (until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2)))),
% 22.51/22.88 inference(rewrite,[status(thm)],[])).
% 22.51/22.88 tff(23236,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2))))),
% 22.51/22.88 inference(monotonicity,[status(thm)],[23235])).
% 22.51/22.88 tff(23237,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2)))),
% 22.51/22.88 inference(transitivity,[status(thm)],[23236, 23234])).
% 22.51/22.88 tff(23238,plain,
% 22.51/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s2)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s2))),
% 22.51/22.88 inference(quant_inst,[status(thm)],[])).
% 22.51/22.88 tff(23239,plain,
% 22.51/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s2))),
% 22.51/22.88 inference(modus_ponens,[status(thm)],[23238, 23237])).
% 22.51/22.88 tff(23240,plain,
% 22.51/22.88 ($false),
% 22.51/22.88 inference(unit_resolution,[status(thm)],[23239, 20124, 23233, 22062, 23232, 22063])).
% 22.51/22.88 tff(23241,plain,((~trans(s199, s2)) | until2p29(s2) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.88 tff(23242,plain,
% 22.51/22.88 (~trans(s199, s2)),
% 22.51/22.88 inference(unit_resolution,[status(thm)],[23241, 22573, 20114])).
% 22.51/22.88 tff(23243,assumption,(~until2p29(s134)), introduced(assumption)).
% 22.51/22.88 tff(23244,assumption,(trans(s199, s134)), introduced(assumption)).
% 22.51/22.88 tff(23245,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134)))),
% 22.51/22.88 inference(rewrite,[status(thm)],[])).
% 22.51/22.88 tff(23246,plain,
% 22.51/22.88 (((~trans(s199, s134)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s134)) <=> (until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134)))),
% 22.51/22.88 inference(rewrite,[status(thm)],[])).
% 22.51/22.88 tff(23247,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134))))),
% 22.51/22.88 inference(monotonicity,[status(thm)],[23246])).
% 22.51/22.88 tff(23248,plain,
% 22.51/22.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134)))),
% 22.51/22.88 inference(transitivity,[status(thm)],[23247, 23245])).
% 22.51/22.88 tff(23249,plain,
% 22.51/22.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s134)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s134))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23250,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s134))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23249, 23248])).
% 22.51/22.89 tff(23251,plain,
% 22.51/22.89 ($false),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23250, 20124, 23244, 22062, 23243, 22063])).
% 22.51/22.89 tff(23252,plain,((~trans(s199, s134)) | until2p29(s134) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.89 tff(23253,plain,
% 22.51/22.89 (~trans(s199, s134)),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23252, 20802, 20114])).
% 22.51/22.89 tff(23254,assumption,(~until2p29(s149)), introduced(assumption)).
% 22.51/22.89 tff(23255,assumption,(trans(s199, s149)), introduced(assumption)).
% 22.51/22.89 tff(23256,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23257,plain,
% 22.51/22.89 (((~trans(s199, s149)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s149)) <=> (until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23258,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149))))),
% 22.51/22.89 inference(monotonicity,[status(thm)],[23257])).
% 22.51/22.89 tff(23259,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149)))),
% 22.51/22.89 inference(transitivity,[status(thm)],[23258, 23256])).
% 22.51/22.89 tff(23260,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s149)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s149))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23261,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s149))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 22.51/22.89 tff(23262,plain,
% 22.51/22.89 ($false),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23261, 20124, 23255, 22062, 23254, 22063])).
% 22.51/22.89 tff(23263,plain,((~trans(s199, s149)) | until2p29(s149) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.89 tff(23264,plain,
% 22.51/22.89 (~trans(s199, s149)),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23263, 20652, 20114])).
% 22.51/22.89 tff(23265,assumption,(~until2p29(s23)), introduced(assumption)).
% 22.51/22.89 tff(23266,assumption,(trans(s199, s23)), introduced(assumption)).
% 22.51/22.89 tff(23267,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23268,plain,
% 22.51/22.89 (((~trans(s199, s23)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s23)) <=> (until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23269,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23))))),
% 22.51/22.89 inference(monotonicity,[status(thm)],[23268])).
% 22.51/22.89 tff(23270,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23)))),
% 22.51/22.89 inference(transitivity,[status(thm)],[23269, 23267])).
% 22.51/22.89 tff(23271,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s23)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s23))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23272,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s23))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 22.51/22.89 tff(23273,plain,
% 22.51/22.89 ($false),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23272, 20124, 23266, 22062, 23265, 22063])).
% 22.51/22.89 tff(23274,plain,((~trans(s199, s23)) | until2p29(s23) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.89 tff(23275,plain,
% 22.51/22.89 (~trans(s199, s23)),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23274, 21912, 20114])).
% 22.51/22.89 tff(23276,assumption,(~until2p29(s7)), introduced(assumption)).
% 22.51/22.89 tff(23277,assumption,(trans(s199, s7)), introduced(assumption)).
% 22.51/22.89 tff(23278,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23279,plain,
% 22.51/22.89 (((~trans(s199, s7)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s7)) <=> (until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23280,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7))))),
% 22.51/22.89 inference(monotonicity,[status(thm)],[23279])).
% 22.51/22.89 tff(23281,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7)))),
% 22.51/22.89 inference(transitivity,[status(thm)],[23280, 23278])).
% 22.51/22.89 tff(23282,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s7)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s7))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23283,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s7))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23282, 23281])).
% 22.51/22.89 tff(23284,plain,
% 22.51/22.89 ($false),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23283, 20124, 23277, 22062, 23276, 22063])).
% 22.51/22.89 tff(23285,plain,((~trans(s199, s7)) | until2p29(s7) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.89 tff(23286,plain,
% 22.51/22.89 (~trans(s199, s7)),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23285, 22314, 20114])).
% 22.51/22.89 tff(23287,assumption,(~until2p29(s96)), introduced(assumption)).
% 22.51/22.89 tff(23288,assumption,(trans(s199, s96)), introduced(assumption)).
% 22.51/22.89 tff(23289,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23290,plain,
% 22.51/22.89 (((~trans(s199, s96)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s96)) <=> (until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23291,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96))))),
% 22.51/22.89 inference(monotonicity,[status(thm)],[23290])).
% 22.51/22.89 tff(23292,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96)))),
% 22.51/22.89 inference(transitivity,[status(thm)],[23291, 23289])).
% 22.51/22.89 tff(23293,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s96)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s96))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23294,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s96))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 22.51/22.89 tff(23295,plain,
% 22.51/22.89 ($false),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23294, 20124, 23288, 22062, 23287, 22063])).
% 22.51/22.89 tff(23296,plain,((~trans(s199, s96)) | until2p29(s96) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.89 tff(23297,plain,
% 22.51/22.89 (~trans(s199, s96)),
% 22.51/22.89 inference(unit_resolution,[status(thm)],[23296, 21182, 20114])).
% 22.51/22.89 tff(23298,assumption,(~until2p29(s94)), introduced(assumption)).
% 22.51/22.89 tff(23299,assumption,(trans(s199, s94)), introduced(assumption)).
% 22.51/22.89 tff(23300,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23301,plain,
% 22.51/22.89 (((~trans(s199, s94)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s94)) <=> (until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94)))),
% 22.51/22.89 inference(rewrite,[status(thm)],[])).
% 22.51/22.89 tff(23302,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94))))),
% 22.51/22.89 inference(monotonicity,[status(thm)],[23301])).
% 22.51/22.89 tff(23303,plain,
% 22.51/22.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94)))),
% 22.51/22.89 inference(transitivity,[status(thm)],[23302, 23300])).
% 22.51/22.89 tff(23304,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s94)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s94))),
% 22.51/22.89 inference(quant_inst,[status(thm)],[])).
% 22.51/22.89 tff(23305,plain,
% 22.51/22.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s94))),
% 22.51/22.89 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 22.51/22.90 tff(23306,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23305, 20124, 23299, 22062, 23298, 22063])).
% 22.51/22.90 tff(23307,plain,((~trans(s199, s94)) | until2p29(s94) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23308,plain,
% 22.51/22.90 (~trans(s199, s94)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23307, 21202, 20114])).
% 22.51/22.90 tff(23309,assumption,(~until2p29(s197)), introduced(assumption)).
% 22.51/22.90 tff(23310,assumption,(trans(s199, s197)), introduced(assumption)).
% 22.51/22.90 tff(23311,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23312,plain,
% 22.51/22.90 (((~trans(s199, s197)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s197)) <=> (until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23313,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197))))),
% 22.51/22.90 inference(monotonicity,[status(thm)],[23312])).
% 22.51/22.90 tff(23314,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197)))),
% 22.51/22.90 inference(transitivity,[status(thm)],[23313, 23311])).
% 22.51/22.90 tff(23315,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s197)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s197))),
% 22.51/22.90 inference(quant_inst,[status(thm)],[])).
% 22.51/22.90 tff(23316,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s197))),
% 22.51/22.90 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 22.51/22.90 tff(23317,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23316, 20124, 23310, 22062, 23309, 22063])).
% 22.51/22.90 tff(23318,plain,((~trans(s199, s197)) | until2p29(s197) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23319,plain,
% 22.51/22.90 (~trans(s199, s197)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23318, 20172, 20114])).
% 22.51/22.90 tff(23320,assumption,(~until2p29(s156)), introduced(assumption)).
% 22.51/22.90 tff(23321,assumption,(trans(s199, s156)), introduced(assumption)).
% 22.51/22.90 tff(23322,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23323,plain,
% 22.51/22.90 (((~trans(s199, s156)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s156)) <=> (until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23324,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156))))),
% 22.51/22.90 inference(monotonicity,[status(thm)],[23323])).
% 22.51/22.90 tff(23325,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156)))),
% 22.51/22.90 inference(transitivity,[status(thm)],[23324, 23322])).
% 22.51/22.90 tff(23326,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s156)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s156))),
% 22.51/22.90 inference(quant_inst,[status(thm)],[])).
% 22.51/22.90 tff(23327,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s156))),
% 22.51/22.90 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 22.51/22.90 tff(23328,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23327, 20124, 23321, 22062, 23320, 22063])).
% 22.51/22.90 tff(23329,plain,((~trans(s199, s156)) | until2p29(s156) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23330,plain,
% 22.51/22.90 (~trans(s199, s156)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23329, 20582, 20114])).
% 22.51/22.90 tff(23331,assumption,(~until2p29(s82)), introduced(assumption)).
% 22.51/22.90 tff(23332,assumption,(trans(s199, s82)), introduced(assumption)).
% 22.51/22.90 tff(23333,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23334,plain,
% 22.51/22.90 (((~trans(s199, s82)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s82)) <=> (until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23335,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82))))),
% 22.51/22.90 inference(monotonicity,[status(thm)],[23334])).
% 22.51/22.90 tff(23336,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82)))),
% 22.51/22.90 inference(transitivity,[status(thm)],[23335, 23333])).
% 22.51/22.90 tff(23337,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s82)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s82))),
% 22.51/22.90 inference(quant_inst,[status(thm)],[])).
% 22.51/22.90 tff(23338,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s82))),
% 22.51/22.90 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 22.51/22.90 tff(23339,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23338, 20124, 23332, 22062, 23331, 22063])).
% 22.51/22.90 tff(23340,plain,((~trans(s199, s82)) | until2p29(s82) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23341,plain,
% 22.51/22.90 (~trans(s199, s82)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23340, 21322, 20114])).
% 22.51/22.90 tff(23342,assumption,(~until2p29(s155)), introduced(assumption)).
% 22.51/22.90 tff(23343,assumption,(trans(s199, s155)), introduced(assumption)).
% 22.51/22.90 tff(23344,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23345,plain,
% 22.51/22.90 (((~trans(s199, s155)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s155)) <=> (until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23346,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155))))),
% 22.51/22.90 inference(monotonicity,[status(thm)],[23345])).
% 22.51/22.90 tff(23347,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155)))),
% 22.51/22.90 inference(transitivity,[status(thm)],[23346, 23344])).
% 22.51/22.90 tff(23348,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s155)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s155))),
% 22.51/22.90 inference(quant_inst,[status(thm)],[])).
% 22.51/22.90 tff(23349,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s155))),
% 22.51/22.90 inference(modus_ponens,[status(thm)],[23348, 23347])).
% 22.51/22.90 tff(23350,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23349, 20124, 23343, 22062, 23342, 22063])).
% 22.51/22.90 tff(23351,plain,((~trans(s199, s155)) | until2p29(s155) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23352,plain,
% 22.51/22.90 (~trans(s199, s155)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23351, 20592, 20114])).
% 22.51/22.90 tff(23353,assumption,(~until2p29(s103)), introduced(assumption)).
% 22.51/22.90 tff(23354,assumption,(trans(s199, s103)), introduced(assumption)).
% 22.51/22.90 tff(23355,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23356,plain,
% 22.51/22.90 (((~trans(s199, s103)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s103)) <=> (until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23357,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103))))),
% 22.51/22.90 inference(monotonicity,[status(thm)],[23356])).
% 22.51/22.90 tff(23358,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103)))),
% 22.51/22.90 inference(transitivity,[status(thm)],[23357, 23355])).
% 22.51/22.90 tff(23359,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s103)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s103))),
% 22.51/22.90 inference(quant_inst,[status(thm)],[])).
% 22.51/22.90 tff(23360,plain,
% 22.51/22.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s103))),
% 22.51/22.90 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 22.51/22.90 tff(23361,plain,
% 22.51/22.90 ($false),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23360, 20124, 23354, 22062, 23353, 22063])).
% 22.51/22.90 tff(23362,plain,((~trans(s199, s103)) | until2p29(s103) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.90 tff(23363,plain,
% 22.51/22.90 (~trans(s199, s103)),
% 22.51/22.90 inference(unit_resolution,[status(thm)],[23362, 21112, 20114])).
% 22.51/22.90 tff(23364,assumption,(~until2p29(s92)), introduced(assumption)).
% 22.51/22.90 tff(23365,assumption,(trans(s199, s92)), introduced(assumption)).
% 22.51/22.90 tff(23366,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23367,plain,
% 22.51/22.90 (((~trans(s199, s92)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s92)) <=> (until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92)))),
% 22.51/22.90 inference(rewrite,[status(thm)],[])).
% 22.51/22.90 tff(23368,plain,
% 22.51/22.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23367])).
% 22.51/22.91 tff(23369,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23368, 23366])).
% 22.51/22.91 tff(23370,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s92)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s92))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23371,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s92))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 22.51/22.91 tff(23372,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23371, 20124, 23365, 22062, 23364, 22063])).
% 22.51/22.91 tff(23373,plain,((~trans(s199, s92)) | until2p29(s92) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23374,plain,
% 22.51/22.91 (~trans(s199, s92)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23373, 21222, 20114])).
% 22.51/22.91 tff(23375,assumption,(~until2p29(s191)), introduced(assumption)).
% 22.51/22.91 tff(23376,assumption,(trans(s199, s191)), introduced(assumption)).
% 22.51/22.91 tff(23377,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23378,plain,
% 22.51/22.91 (((~trans(s199, s191)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s191)) <=> (until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23379,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23378])).
% 22.51/22.91 tff(23380,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23379, 23377])).
% 22.51/22.91 tff(23381,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s191)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s191))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23382,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s191))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 22.51/22.91 tff(23383,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23382, 20124, 23376, 22062, 23375, 22063])).
% 22.51/22.91 tff(23384,plain,((~trans(s199, s191)) | until2p29(s191) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23385,plain,
% 22.51/22.91 (~trans(s199, s191)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23384, 20232, 20114])).
% 22.51/22.91 tff(23386,assumption,(~until2p29(s183)), introduced(assumption)).
% 22.51/22.91 tff(23387,assumption,(trans(s199, s183)), introduced(assumption)).
% 22.51/22.91 tff(23388,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23389,plain,
% 22.51/22.91 (((~trans(s199, s183)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s183)) <=> (until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23390,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23389])).
% 22.51/22.91 tff(23391,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23390, 23388])).
% 22.51/22.91 tff(23392,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s183)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s183))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23393,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s183))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 22.51/22.91 tff(23394,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23393, 20124, 23387, 22062, 23386, 22063])).
% 22.51/22.91 tff(23395,plain,((~trans(s199, s183)) | until2p29(s183) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23396,plain,
% 22.51/22.91 (~trans(s199, s183)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23395, 20312, 20114])).
% 22.51/22.91 tff(23397,assumption,(~until2p29(s144)), introduced(assumption)).
% 22.51/22.91 tff(23398,assumption,(trans(s199, s144)), introduced(assumption)).
% 22.51/22.91 tff(23399,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23400,plain,
% 22.51/22.91 (((~trans(s199, s144)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s144)) <=> (until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23401,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23400])).
% 22.51/22.91 tff(23402,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23401, 23399])).
% 22.51/22.91 tff(23403,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s144)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s144))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23404,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s144))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23403, 23402])).
% 22.51/22.91 tff(23405,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23404, 20124, 23398, 22062, 23397, 22063])).
% 22.51/22.91 tff(23406,plain,((~trans(s199, s144)) | until2p29(s144) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23407,plain,
% 22.51/22.91 (~trans(s199, s144)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23406, 20702, 20114])).
% 22.51/22.91 tff(23408,assumption,(~until2p29(s174)), introduced(assumption)).
% 22.51/22.91 tff(23409,assumption,(trans(s199, s174)), introduced(assumption)).
% 22.51/22.91 tff(23410,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23411,plain,
% 22.51/22.91 (((~trans(s199, s174)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s174)) <=> (until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23412,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23411])).
% 22.51/22.91 tff(23413,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23412, 23410])).
% 22.51/22.91 tff(23414,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s174)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s174))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23415,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s174))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23414, 23413])).
% 22.51/22.91 tff(23416,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23415, 20124, 23409, 22062, 23408, 22063])).
% 22.51/22.91 tff(23417,plain,((~trans(s199, s174)) | until2p29(s174) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23418,plain,
% 22.51/22.91 (~trans(s199, s174)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23417, 20402, 20114])).
% 22.51/22.91 tff(23419,assumption,(~until2p29(s158)), introduced(assumption)).
% 22.51/22.91 tff(23420,assumption,(trans(s199, s158)), introduced(assumption)).
% 22.51/22.91 tff(23421,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23422,plain,
% 22.51/22.91 (((~trans(s199, s158)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s158)) <=> (until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23423,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23422])).
% 22.51/22.91 tff(23424,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23423, 23421])).
% 22.51/22.91 tff(23425,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s158)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s158))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23426,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s158))),
% 22.51/22.91 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 22.51/22.91 tff(23427,plain,
% 22.51/22.91 ($false),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23426, 20124, 23420, 22062, 23419, 22063])).
% 22.51/22.91 tff(23428,plain,((~trans(s199, s158)) | until2p29(s158) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.91 tff(23429,plain,
% 22.51/22.91 (~trans(s199, s158)),
% 22.51/22.91 inference(unit_resolution,[status(thm)],[23428, 20562, 20114])).
% 22.51/22.91 tff(23430,assumption,(~until2p29(s135)), introduced(assumption)).
% 22.51/22.91 tff(23431,assumption,(trans(s199, s135)), introduced(assumption)).
% 22.51/22.91 tff(23432,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23433,plain,
% 22.51/22.91 (((~trans(s199, s135)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s135)) <=> (until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135)))),
% 22.51/22.91 inference(rewrite,[status(thm)],[])).
% 22.51/22.91 tff(23434,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135))))),
% 22.51/22.91 inference(monotonicity,[status(thm)],[23433])).
% 22.51/22.91 tff(23435,plain,
% 22.51/22.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135)))),
% 22.51/22.91 inference(transitivity,[status(thm)],[23434, 23432])).
% 22.51/22.91 tff(23436,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s135)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s135))),
% 22.51/22.91 inference(quant_inst,[status(thm)],[])).
% 22.51/22.91 tff(23437,plain,
% 22.51/22.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s135))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23436, 23435])).
% 22.51/22.92 tff(23438,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23437, 20124, 23431, 22062, 23430, 22063])).
% 22.51/22.92 tff(23439,plain,((~trans(s199, s135)) | until2p29(s135) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.92 tff(23440,plain,
% 22.51/22.92 (~trans(s199, s135)),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23439, 20792, 20114])).
% 22.51/22.92 tff(23441,assumption,(~until2p29(s170)), introduced(assumption)).
% 22.51/22.92 tff(23442,assumption,(trans(s199, s170)), introduced(assumption)).
% 22.51/22.92 tff(23443,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23444,plain,
% 22.51/22.92 (((~trans(s199, s170)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s170)) <=> (until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23445,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170))))),
% 22.51/22.92 inference(monotonicity,[status(thm)],[23444])).
% 22.51/22.92 tff(23446,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170)))),
% 22.51/22.92 inference(transitivity,[status(thm)],[23445, 23443])).
% 22.51/22.92 tff(23447,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s170)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s170))),
% 22.51/22.92 inference(quant_inst,[status(thm)],[])).
% 22.51/22.92 tff(23448,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s170))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23447, 23446])).
% 22.51/22.92 tff(23449,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23448, 20124, 23442, 22062, 23441, 22063])).
% 22.51/22.92 tff(23450,plain,((~trans(s199, s170)) | until2p29(s170) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.92 tff(23451,plain,
% 22.51/22.92 (~trans(s199, s170)),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23450, 20442, 20114])).
% 22.51/22.92 tff(23452,assumption,(~until2p29(s171)), introduced(assumption)).
% 22.51/22.92 tff(23453,assumption,(trans(s199, s171)), introduced(assumption)).
% 22.51/22.92 tff(23454,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23455,plain,
% 22.51/22.92 (((~trans(s199, s171)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s171)) <=> (until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23456,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171))))),
% 22.51/22.92 inference(monotonicity,[status(thm)],[23455])).
% 22.51/22.92 tff(23457,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171)))),
% 22.51/22.92 inference(transitivity,[status(thm)],[23456, 23454])).
% 22.51/22.92 tff(23458,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s171)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s171))),
% 22.51/22.92 inference(quant_inst,[status(thm)],[])).
% 22.51/22.92 tff(23459,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s171))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23458, 23457])).
% 22.51/22.92 tff(23460,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23459, 20124, 23453, 22062, 23452, 22063])).
% 22.51/22.92 tff(23461,plain,((~trans(s199, s171)) | until2p29(s171) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.92 tff(23462,plain,
% 22.51/22.92 (~trans(s199, s171)),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23461, 20432, 20114])).
% 22.51/22.92 tff(23463,assumption,(~until2p29(s106)), introduced(assumption)).
% 22.51/22.92 tff(23464,assumption,(trans(s199, s106)), introduced(assumption)).
% 22.51/22.92 tff(23465,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23466,plain,
% 22.51/22.92 (((~trans(s199, s106)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s106)) <=> (until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23467,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106))))),
% 22.51/22.92 inference(monotonicity,[status(thm)],[23466])).
% 22.51/22.92 tff(23468,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106)))),
% 22.51/22.92 inference(transitivity,[status(thm)],[23467, 23465])).
% 22.51/22.92 tff(23469,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s106)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s106))),
% 22.51/22.92 inference(quant_inst,[status(thm)],[])).
% 22.51/22.92 tff(23470,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s106))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 22.51/22.92 tff(23471,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23470, 20124, 23464, 22062, 23463, 22063])).
% 22.51/22.92 tff(23472,plain,((~trans(s199, s106)) | until2p29(s106) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.92 tff(23473,plain,
% 22.51/22.92 (~trans(s199, s106)),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23472, 21082, 20114])).
% 22.51/22.92 tff(23474,assumption,(~until2p29(s148)), introduced(assumption)).
% 22.51/22.92 tff(23475,assumption,(trans(s199, s148)), introduced(assumption)).
% 22.51/22.92 tff(23476,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23477,plain,
% 22.51/22.92 (((~trans(s199, s148)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s148)) <=> (until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23478,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148))))),
% 22.51/22.92 inference(monotonicity,[status(thm)],[23477])).
% 22.51/22.92 tff(23479,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148)))),
% 22.51/22.92 inference(transitivity,[status(thm)],[23478, 23476])).
% 22.51/22.92 tff(23480,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s148)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s148))),
% 22.51/22.92 inference(quant_inst,[status(thm)],[])).
% 22.51/22.92 tff(23481,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s148))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23480, 23479])).
% 22.51/22.92 tff(23482,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23481, 20124, 23475, 22062, 23474, 22063])).
% 22.51/22.92 tff(23483,plain,((~trans(s199, s148)) | until2p29(s148) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.92 tff(23484,plain,
% 22.51/22.92 (~trans(s199, s148)),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23483, 20662, 20114])).
% 22.51/22.92 tff(23485,assumption,(~until2p29(s138)), introduced(assumption)).
% 22.51/22.92 tff(23486,assumption,(trans(s199, s138)), introduced(assumption)).
% 22.51/22.92 tff(23487,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23488,plain,
% 22.51/22.92 (((~trans(s199, s138)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s138)) <=> (until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138)))),
% 22.51/22.92 inference(rewrite,[status(thm)],[])).
% 22.51/22.92 tff(23489,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138))))),
% 22.51/22.92 inference(monotonicity,[status(thm)],[23488])).
% 22.51/22.92 tff(23490,plain,
% 22.51/22.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138)))),
% 22.51/22.92 inference(transitivity,[status(thm)],[23489, 23487])).
% 22.51/22.92 tff(23491,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s138)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s138))),
% 22.51/22.92 inference(quant_inst,[status(thm)],[])).
% 22.51/22.92 tff(23492,plain,
% 22.51/22.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s138))),
% 22.51/22.92 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 22.51/22.92 tff(23493,plain,
% 22.51/22.92 ($false),
% 22.51/22.92 inference(unit_resolution,[status(thm)],[23492, 20124, 23486, 22062, 23485, 22063])).
% 22.51/22.92 tff(23494,plain,((~trans(s199, s138)) | until2p29(s138) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23495,plain,
% 22.51/22.93 (~trans(s199, s138)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23494, 20762, 20114])).
% 22.51/22.93 tff(23496,assumption,(~until2p29(s44)), introduced(assumption)).
% 22.51/22.93 tff(23497,assumption,(trans(s199, s44)), introduced(assumption)).
% 22.51/22.93 tff(23498,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23499,plain,
% 22.51/22.93 (((~trans(s199, s44)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s44)) <=> (until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23500,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44))))),
% 22.51/22.93 inference(monotonicity,[status(thm)],[23499])).
% 22.51/22.93 tff(23501,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44)))),
% 22.51/22.93 inference(transitivity,[status(thm)],[23500, 23498])).
% 22.51/22.93 tff(23502,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s44)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s44))),
% 22.51/22.93 inference(quant_inst,[status(thm)],[])).
% 22.51/22.93 tff(23503,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s44))),
% 22.51/22.93 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 22.51/22.93 tff(23504,plain,
% 22.51/22.93 ($false),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23503, 20124, 23497, 22062, 23496, 22063])).
% 22.51/22.93 tff(23505,plain,((~trans(s199, s44)) | until2p29(s44) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23506,plain,
% 22.51/22.93 (~trans(s199, s44)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23505, 21702, 20114])).
% 22.51/22.93 tff(23507,assumption,(~until2p29(s154)), introduced(assumption)).
% 22.51/22.93 tff(23508,assumption,(trans(s199, s154)), introduced(assumption)).
% 22.51/22.93 tff(23509,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23510,plain,
% 22.51/22.93 (((~trans(s199, s154)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s154)) <=> (until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23511,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154))))),
% 22.51/22.93 inference(monotonicity,[status(thm)],[23510])).
% 22.51/22.93 tff(23512,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154)))),
% 22.51/22.93 inference(transitivity,[status(thm)],[23511, 23509])).
% 22.51/22.93 tff(23513,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s154)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s154))),
% 22.51/22.93 inference(quant_inst,[status(thm)],[])).
% 22.51/22.93 tff(23514,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s154))),
% 22.51/22.93 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 22.51/22.93 tff(23515,plain,
% 22.51/22.93 ($false),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23514, 20124, 23508, 22062, 23507, 22063])).
% 22.51/22.93 tff(23516,plain,((~trans(s199, s154)) | until2p29(s154) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23517,plain,
% 22.51/22.93 (~trans(s199, s154)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23516, 20602, 20114])).
% 22.51/22.93 tff(23518,assumption,(~until2p29(s77)), introduced(assumption)).
% 22.51/22.93 tff(23519,assumption,(trans(s199, s77)), introduced(assumption)).
% 22.51/22.93 tff(23520,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23521,plain,
% 22.51/22.93 (((~trans(s199, s77)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s77)) <=> (until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23522,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77))))),
% 22.51/22.93 inference(monotonicity,[status(thm)],[23521])).
% 22.51/22.93 tff(23523,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77)))),
% 22.51/22.93 inference(transitivity,[status(thm)],[23522, 23520])).
% 22.51/22.93 tff(23524,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s77)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s77))),
% 22.51/22.93 inference(quant_inst,[status(thm)],[])).
% 22.51/22.93 tff(23525,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s77))),
% 22.51/22.93 inference(modus_ponens,[status(thm)],[23524, 23523])).
% 22.51/22.93 tff(23526,plain,
% 22.51/22.93 ($false),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23525, 20124, 23519, 22062, 23518, 22063])).
% 22.51/22.93 tff(23527,plain,((~trans(s199, s77)) | until2p29(s77) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23528,plain,
% 22.51/22.93 (~trans(s199, s77)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23527, 21372, 20114])).
% 22.51/22.93 tff(23529,assumption,(~until2p29(s190)), introduced(assumption)).
% 22.51/22.93 tff(23530,assumption,(trans(s199, s190)), introduced(assumption)).
% 22.51/22.93 tff(23531,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23532,plain,
% 22.51/22.93 (((~trans(s199, s190)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s190)) <=> (until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23533,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190))))),
% 22.51/22.93 inference(monotonicity,[status(thm)],[23532])).
% 22.51/22.93 tff(23534,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190)))),
% 22.51/22.93 inference(transitivity,[status(thm)],[23533, 23531])).
% 22.51/22.93 tff(23535,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s190)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s190))),
% 22.51/22.93 inference(quant_inst,[status(thm)],[])).
% 22.51/22.93 tff(23536,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s190))),
% 22.51/22.93 inference(modus_ponens,[status(thm)],[23535, 23534])).
% 22.51/22.93 tff(23537,plain,
% 22.51/22.93 ($false),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23536, 20124, 23530, 22062, 23529, 22063])).
% 22.51/22.93 tff(23538,plain,((~trans(s199, s190)) | until2p29(s190) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23539,plain,
% 22.51/22.93 (~trans(s199, s190)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23538, 20242, 20114])).
% 22.51/22.93 tff(23540,assumption,(~until2p29(s130)), introduced(assumption)).
% 22.51/22.93 tff(23541,assumption,(trans(s199, s130)), introduced(assumption)).
% 22.51/22.93 tff(23542,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23543,plain,
% 22.51/22.93 (((~trans(s199, s130)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s130)) <=> (until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130)))),
% 22.51/22.93 inference(rewrite,[status(thm)],[])).
% 22.51/22.93 tff(23544,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130))))),
% 22.51/22.93 inference(monotonicity,[status(thm)],[23543])).
% 22.51/22.93 tff(23545,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130)))),
% 22.51/22.93 inference(transitivity,[status(thm)],[23544, 23542])).
% 22.51/22.93 tff(23546,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s130)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s130))),
% 22.51/22.93 inference(quant_inst,[status(thm)],[])).
% 22.51/22.93 tff(23547,plain,
% 22.51/22.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s130))),
% 22.51/22.93 inference(modus_ponens,[status(thm)],[23546, 23545])).
% 22.51/22.93 tff(23548,plain,
% 22.51/22.93 ($false),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23547, 20124, 23541, 22062, 23540, 22063])).
% 22.51/22.93 tff(23549,plain,((~trans(s199, s130)) | until2p29(s130) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.93 tff(23550,plain,
% 22.51/22.93 (~trans(s199, s130)),
% 22.51/22.93 inference(unit_resolution,[status(thm)],[23549, 20842, 20114])).
% 22.51/22.93 tff(23551,assumption,(~until2p29(s163)), introduced(assumption)).
% 22.51/22.93 tff(23552,assumption,(trans(s199, s163)), introduced(assumption)).
% 22.51/22.93 tff(23553,plain,
% 22.51/22.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23554,plain,
% 22.51/22.94 (((~trans(s199, s163)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s163)) <=> (until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23555,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163))))),
% 22.51/22.94 inference(monotonicity,[status(thm)],[23554])).
% 22.51/22.94 tff(23556,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163)))),
% 22.51/22.94 inference(transitivity,[status(thm)],[23555, 23553])).
% 22.51/22.94 tff(23557,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s163)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s163))),
% 22.51/22.94 inference(quant_inst,[status(thm)],[])).
% 22.51/22.94 tff(23558,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s163))),
% 22.51/22.94 inference(modus_ponens,[status(thm)],[23557, 23556])).
% 22.51/22.94 tff(23559,plain,
% 22.51/22.94 ($false),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23558, 20124, 23552, 22062, 23551, 22063])).
% 22.51/22.94 tff(23560,plain,((~trans(s199, s163)) | until2p29(s163) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.94 tff(23561,plain,
% 22.51/22.94 (~trans(s199, s163)),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23560, 20512, 20114])).
% 22.51/22.94 tff(23562,assumption,(~until2p29(s188)), introduced(assumption)).
% 22.51/22.94 tff(23563,assumption,(trans(s199, s188)), introduced(assumption)).
% 22.51/22.94 tff(23564,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23565,plain,
% 22.51/22.94 (((~trans(s199, s188)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s188)) <=> (until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23566,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188))))),
% 22.51/22.94 inference(monotonicity,[status(thm)],[23565])).
% 22.51/22.94 tff(23567,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188)))),
% 22.51/22.94 inference(transitivity,[status(thm)],[23566, 23564])).
% 22.51/22.94 tff(23568,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s188)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s188))),
% 22.51/22.94 inference(quant_inst,[status(thm)],[])).
% 22.51/22.94 tff(23569,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s188))),
% 22.51/22.94 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 22.51/22.94 tff(23570,plain,
% 22.51/22.94 ($false),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23569, 20124, 23563, 22062, 23562, 22063])).
% 22.51/22.94 tff(23571,plain,((~trans(s199, s188)) | until2p29(s188) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.94 tff(23572,plain,
% 22.51/22.94 (~trans(s199, s188)),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23571, 20262, 20114])).
% 22.51/22.94 tff(23573,assumption,(~until2p29(s153)), introduced(assumption)).
% 22.51/22.94 tff(23574,assumption,(trans(s199, s153)), introduced(assumption)).
% 22.51/22.94 tff(23575,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23576,plain,
% 22.51/22.94 (((~trans(s199, s153)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s153)) <=> (until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23577,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153))))),
% 22.51/22.94 inference(monotonicity,[status(thm)],[23576])).
% 22.51/22.94 tff(23578,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153)))),
% 22.51/22.94 inference(transitivity,[status(thm)],[23577, 23575])).
% 22.51/22.94 tff(23579,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s153)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s153))),
% 22.51/22.94 inference(quant_inst,[status(thm)],[])).
% 22.51/22.94 tff(23580,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s153))),
% 22.51/22.94 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 22.51/22.94 tff(23581,plain,
% 22.51/22.94 ($false),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23580, 20124, 23574, 22062, 23573, 22063])).
% 22.51/22.94 tff(23582,plain,((~trans(s199, s153)) | until2p29(s153) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.94 tff(23583,plain,
% 22.51/22.94 (~trans(s199, s153)),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23582, 20612, 20114])).
% 22.51/22.94 tff(23584,assumption,(~until2p29(s189)), introduced(assumption)).
% 22.51/22.94 tff(23585,assumption,(trans(s199, s189)), introduced(assumption)).
% 22.51/22.94 tff(23586,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23587,plain,
% 22.51/22.94 (((~trans(s199, s189)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s189)) <=> (until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23588,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189))))),
% 22.51/22.94 inference(monotonicity,[status(thm)],[23587])).
% 22.51/22.94 tff(23589,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189)))),
% 22.51/22.94 inference(transitivity,[status(thm)],[23588, 23586])).
% 22.51/22.94 tff(23590,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s189)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s189))),
% 22.51/22.94 inference(quant_inst,[status(thm)],[])).
% 22.51/22.94 tff(23591,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s189))),
% 22.51/22.94 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 22.51/22.94 tff(23592,plain,
% 22.51/22.94 ($false),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23591, 20124, 23585, 22062, 23584, 22063])).
% 22.51/22.94 tff(23593,plain,((~trans(s199, s189)) | until2p29(s189) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.94 tff(23594,plain,
% 22.51/22.94 (~trans(s199, s189)),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23593, 20252, 20114])).
% 22.51/22.94 tff(23595,assumption,(~until2p29(s127)), introduced(assumption)).
% 22.51/22.94 tff(23596,assumption,(trans(s199, s127)), introduced(assumption)).
% 22.51/22.94 tff(23597,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23598,plain,
% 22.51/22.94 (((~trans(s199, s127)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s127)) <=> (until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.94 tff(23599,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127))))),
% 22.51/22.94 inference(monotonicity,[status(thm)],[23598])).
% 22.51/22.94 tff(23600,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127)))),
% 22.51/22.94 inference(transitivity,[status(thm)],[23599, 23597])).
% 22.51/22.94 tff(23601,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s127)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s127))),
% 22.51/22.94 inference(quant_inst,[status(thm)],[])).
% 22.51/22.94 tff(23602,plain,
% 22.51/22.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s127))),
% 22.51/22.94 inference(modus_ponens,[status(thm)],[23601, 23600])).
% 22.51/22.94 tff(23603,plain,
% 22.51/22.94 ($false),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23602, 20124, 23596, 22062, 23595, 22063])).
% 22.51/22.94 tff(23604,plain,((~trans(s199, s127)) | until2p29(s127) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.94 tff(23605,plain,
% 22.51/22.94 (~trans(s199, s127)),
% 22.51/22.94 inference(unit_resolution,[status(thm)],[23604, 20872, 20114])).
% 22.51/22.94 tff(23606,assumption,(~until2p29(s181)), introduced(assumption)).
% 22.51/22.94 tff(23607,assumption,(trans(s199, s181)), introduced(assumption)).
% 22.51/22.94 tff(23608,plain,
% 22.51/22.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181)))),
% 22.51/22.94 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23609,plain,
% 22.51/22.95 (((~trans(s199, s181)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s181)) <=> (until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23610,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23609])).
% 22.51/22.95 tff(23611,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23610, 23608])).
% 22.51/22.95 tff(23612,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s181)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s181))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23613,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s181))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 22.51/22.95 tff(23614,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23613, 20124, 23607, 22062, 23606, 22063])).
% 22.51/22.95 tff(23615,plain,((~trans(s199, s181)) | until2p29(s181) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23616,plain,
% 22.51/22.95 (~trans(s199, s181)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23615, 20332, 20114])).
% 22.51/22.95 tff(23617,assumption,(~until2p29(s186)), introduced(assumption)).
% 22.51/22.95 tff(23618,assumption,(trans(s199, s186)), introduced(assumption)).
% 22.51/22.95 tff(23619,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23620,plain,
% 22.51/22.95 (((~trans(s199, s186)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s186)) <=> (until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23621,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23620])).
% 22.51/22.95 tff(23622,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23621, 23619])).
% 22.51/22.95 tff(23623,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s186)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s186))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23624,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s186))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23623, 23622])).
% 22.51/22.95 tff(23625,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23624, 20124, 23618, 22062, 23617, 22063])).
% 22.51/22.95 tff(23626,plain,((~trans(s199, s186)) | until2p29(s186) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23627,plain,
% 22.51/22.95 (~trans(s199, s186)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23626, 20282, 20114])).
% 22.51/22.95 tff(23628,assumption,(~until2p29(s180)), introduced(assumption)).
% 22.51/22.95 tff(23629,assumption,(trans(s199, s180)), introduced(assumption)).
% 22.51/22.95 tff(23630,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23631,plain,
% 22.51/22.95 (((~trans(s199, s180)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s180)) <=> (until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23632,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23631])).
% 22.51/22.95 tff(23633,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23632, 23630])).
% 22.51/22.95 tff(23634,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s180)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s180))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23635,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s180))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 22.51/22.95 tff(23636,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23635, 20124, 23629, 22062, 23628, 22063])).
% 22.51/22.95 tff(23637,plain,((~trans(s199, s180)) | until2p29(s180) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23638,plain,
% 22.51/22.95 (~trans(s199, s180)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23637, 20342, 20114])).
% 22.51/22.95 tff(23639,assumption,(~until2p29(s157)), introduced(assumption)).
% 22.51/22.95 tff(23640,assumption,(trans(s199, s157)), introduced(assumption)).
% 22.51/22.95 tff(23641,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23642,plain,
% 22.51/22.95 (((~trans(s199, s157)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s157)) <=> (until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23643,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23642])).
% 22.51/22.95 tff(23644,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23643, 23641])).
% 22.51/22.95 tff(23645,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s157)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s157))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23646,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s157))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23645, 23644])).
% 22.51/22.95 tff(23647,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23646, 20124, 23640, 22062, 23639, 22063])).
% 22.51/22.95 tff(23648,plain,((~trans(s199, s157)) | until2p29(s157) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23649,plain,
% 22.51/22.95 (~trans(s199, s157)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23648, 20572, 20114])).
% 22.51/22.95 tff(23650,assumption,(~until2p29(s165)), introduced(assumption)).
% 22.51/22.95 tff(23651,assumption,(trans(s199, s165)), introduced(assumption)).
% 22.51/22.95 tff(23652,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23653,plain,
% 22.51/22.95 (((~trans(s199, s165)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s165)) <=> (until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23654,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23653])).
% 22.51/22.95 tff(23655,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23654, 23652])).
% 22.51/22.95 tff(23656,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s165)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s165))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23657,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s165))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23656, 23655])).
% 22.51/22.95 tff(23658,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23657, 20124, 23651, 22062, 23650, 22063])).
% 22.51/22.95 tff(23659,plain,((~trans(s199, s165)) | until2p29(s165) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23660,plain,
% 22.51/22.95 (~trans(s199, s165)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23659, 20492, 20114])).
% 22.51/22.95 tff(23661,assumption,(~until2p29(s140)), introduced(assumption)).
% 22.51/22.95 tff(23662,assumption,(trans(s199, s140)), introduced(assumption)).
% 22.51/22.95 tff(23663,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23664,plain,
% 22.51/22.95 (((~trans(s199, s140)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s140)) <=> (until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23665,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23664])).
% 22.51/22.95 tff(23666,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23665, 23663])).
% 22.51/22.95 tff(23667,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s140)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s140))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23668,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s140))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23667, 23666])).
% 22.51/22.95 tff(23669,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23668, 20124, 23662, 22062, 23661, 22063])).
% 22.51/22.95 tff(23670,plain,((~trans(s199, s140)) | until2p29(s140) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23671,plain,
% 22.51/22.95 (~trans(s199, s140)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23670, 20742, 20114])).
% 22.51/22.95 tff(23672,assumption,(~until2p29(s169)), introduced(assumption)).
% 22.51/22.95 tff(23673,assumption,(trans(s199, s169)), introduced(assumption)).
% 22.51/22.95 tff(23674,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23675,plain,
% 22.51/22.95 (((~trans(s199, s169)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s169)) <=> (until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169)))),
% 22.51/22.95 inference(rewrite,[status(thm)],[])).
% 22.51/22.95 tff(23676,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169))))),
% 22.51/22.95 inference(monotonicity,[status(thm)],[23675])).
% 22.51/22.95 tff(23677,plain,
% 22.51/22.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169)))),
% 22.51/22.95 inference(transitivity,[status(thm)],[23676, 23674])).
% 22.51/22.95 tff(23678,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s169)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s169))),
% 22.51/22.95 inference(quant_inst,[status(thm)],[])).
% 22.51/22.95 tff(23679,plain,
% 22.51/22.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s169))),
% 22.51/22.95 inference(modus_ponens,[status(thm)],[23678, 23677])).
% 22.51/22.95 tff(23680,plain,
% 22.51/22.95 ($false),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23679, 20124, 23673, 22062, 23672, 22063])).
% 22.51/22.95 tff(23681,plain,((~trans(s199, s169)) | until2p29(s169) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.95 tff(23682,plain,
% 22.51/22.95 (~trans(s199, s169)),
% 22.51/22.95 inference(unit_resolution,[status(thm)],[23681, 20452, 20114])).
% 22.51/22.95 tff(23683,assumption,(~until2p29(s145)), introduced(assumption)).
% 22.51/22.95 tff(23684,assumption,(trans(s199, s145)), introduced(assumption)).
% 22.51/22.96 tff(23685,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23686,plain,
% 22.51/22.96 (((~trans(s199, s145)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s145)) <=> (until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23687,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145))))),
% 22.51/22.96 inference(monotonicity,[status(thm)],[23686])).
% 22.51/22.96 tff(23688,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145)))),
% 22.51/22.96 inference(transitivity,[status(thm)],[23687, 23685])).
% 22.51/22.96 tff(23689,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s145)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s145))),
% 22.51/22.96 inference(quant_inst,[status(thm)],[])).
% 22.51/22.96 tff(23690,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s145))),
% 22.51/22.96 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 22.51/22.96 tff(23691,plain,
% 22.51/22.96 ($false),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23690, 20124, 23684, 22062, 23683, 22063])).
% 22.51/22.96 tff(23692,plain,((~trans(s199, s145)) | until2p29(s145) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.96 tff(23693,plain,
% 22.51/22.96 (~trans(s199, s145)),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23692, 20692, 20114])).
% 22.51/22.96 tff(23694,assumption,(~until2p29(s141)), introduced(assumption)).
% 22.51/22.96 tff(23695,assumption,(trans(s199, s141)), introduced(assumption)).
% 22.51/22.96 tff(23696,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23697,plain,
% 22.51/22.96 (((~trans(s199, s141)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s141)) <=> (until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23698,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141))))),
% 22.51/22.96 inference(monotonicity,[status(thm)],[23697])).
% 22.51/22.96 tff(23699,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141)))),
% 22.51/22.96 inference(transitivity,[status(thm)],[23698, 23696])).
% 22.51/22.96 tff(23700,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s141)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s141))),
% 22.51/22.96 inference(quant_inst,[status(thm)],[])).
% 22.51/22.96 tff(23701,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s141))),
% 22.51/22.96 inference(modus_ponens,[status(thm)],[23700, 23699])).
% 22.51/22.96 tff(23702,plain,
% 22.51/22.96 ($false),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23701, 20124, 23695, 22062, 23694, 22063])).
% 22.51/22.96 tff(23703,plain,((~trans(s199, s141)) | until2p29(s141) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.96 tff(23704,plain,
% 22.51/22.96 (~trans(s199, s141)),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23703, 20732, 20114])).
% 22.51/22.96 tff(23705,assumption,(~until2p29(s139)), introduced(assumption)).
% 22.51/22.96 tff(23706,assumption,(trans(s199, s139)), introduced(assumption)).
% 22.51/22.96 tff(23707,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23708,plain,
% 22.51/22.96 (((~trans(s199, s139)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s139)) <=> (until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23709,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139))))),
% 22.51/22.96 inference(monotonicity,[status(thm)],[23708])).
% 22.51/22.96 tff(23710,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139)))),
% 22.51/22.96 inference(transitivity,[status(thm)],[23709, 23707])).
% 22.51/22.96 tff(23711,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s139)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s139))),
% 22.51/22.96 inference(quant_inst,[status(thm)],[])).
% 22.51/22.96 tff(23712,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s139))),
% 22.51/22.96 inference(modus_ponens,[status(thm)],[23711, 23710])).
% 22.51/22.96 tff(23713,plain,
% 22.51/22.96 ($false),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23712, 20124, 23706, 22062, 23705, 22063])).
% 22.51/22.96 tff(23714,plain,((~trans(s199, s139)) | until2p29(s139) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.96 tff(23715,plain,
% 22.51/22.96 (~trans(s199, s139)),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23714, 20752, 20114])).
% 22.51/22.96 tff(23716,assumption,(~until2p29(s126)), introduced(assumption)).
% 22.51/22.96 tff(23717,assumption,(trans(s199, s126)), introduced(assumption)).
% 22.51/22.96 tff(23718,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23719,plain,
% 22.51/22.96 (((~trans(s199, s126)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s126)) <=> (until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23720,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126))))),
% 22.51/22.96 inference(monotonicity,[status(thm)],[23719])).
% 22.51/22.96 tff(23721,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126)))),
% 22.51/22.96 inference(transitivity,[status(thm)],[23720, 23718])).
% 22.51/22.96 tff(23722,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s126)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s126))),
% 22.51/22.96 inference(quant_inst,[status(thm)],[])).
% 22.51/22.96 tff(23723,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s126))),
% 22.51/22.96 inference(modus_ponens,[status(thm)],[23722, 23721])).
% 22.51/22.96 tff(23724,plain,
% 22.51/22.96 ($false),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23723, 20124, 23717, 22062, 23716, 22063])).
% 22.51/22.96 tff(23725,plain,((~trans(s199, s126)) | until2p29(s126) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.96 tff(23726,plain,
% 22.51/22.96 (~trans(s199, s126)),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23725, 20882, 20114])).
% 22.51/22.96 tff(23727,assumption,(~until2p29(s22)), introduced(assumption)).
% 22.51/22.96 tff(23728,assumption,(trans(s199, s22)), introduced(assumption)).
% 22.51/22.96 tff(23729,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23730,plain,
% 22.51/22.96 (((~trans(s199, s22)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s22)) <=> (until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22)))),
% 22.51/22.96 inference(rewrite,[status(thm)],[])).
% 22.51/22.96 tff(23731,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22))))),
% 22.51/22.96 inference(monotonicity,[status(thm)],[23730])).
% 22.51/22.96 tff(23732,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22)))),
% 22.51/22.96 inference(transitivity,[status(thm)],[23731, 23729])).
% 22.51/22.96 tff(23733,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s22)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s22))),
% 22.51/22.96 inference(quant_inst,[status(thm)],[])).
% 22.51/22.96 tff(23734,plain,
% 22.51/22.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s22))),
% 22.51/22.96 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 22.51/22.96 tff(23735,plain,
% 22.51/22.96 ($false),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23734, 20124, 23728, 22062, 23727, 22063])).
% 22.51/22.96 tff(23736,plain,((~trans(s199, s22)) | until2p29(s22) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.96 tff(23737,plain,
% 22.51/22.96 (~trans(s199, s22)),
% 22.51/22.96 inference(unit_resolution,[status(thm)],[23736, 21922, 20114])).
% 22.51/22.96 tff(23738,assumption,(~until2p29(s53)), introduced(assumption)).
% 22.51/22.96 tff(23739,assumption,(trans(s199, s53)), introduced(assumption)).
% 22.51/22.96 tff(23740,plain,
% 22.51/22.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23741,plain,
% 22.51/22.97 (((~trans(s199, s53)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s53)) <=> (until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23742,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53))))),
% 22.51/22.97 inference(monotonicity,[status(thm)],[23741])).
% 22.51/22.97 tff(23743,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53)))),
% 22.51/22.97 inference(transitivity,[status(thm)],[23742, 23740])).
% 22.51/22.97 tff(23744,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s53)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s53))),
% 22.51/22.97 inference(quant_inst,[status(thm)],[])).
% 22.51/22.97 tff(23745,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s53))),
% 22.51/22.97 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 22.51/22.97 tff(23746,plain,
% 22.51/22.97 ($false),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23745, 20124, 23739, 22062, 23738, 22063])).
% 22.51/22.97 tff(23747,plain,((~trans(s199, s53)) | until2p29(s53) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.97 tff(23748,plain,
% 22.51/22.97 (~trans(s199, s53)),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23747, 21612, 20114])).
% 22.51/22.97 tff(23749,assumption,(~until2p29(s3)), introduced(assumption)).
% 22.51/22.97 tff(23750,assumption,(trans(s199, s3)), introduced(assumption)).
% 22.51/22.97 tff(23751,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23752,plain,
% 22.51/22.97 (((~trans(s199, s3)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s3)) <=> (until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23753,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3))))),
% 22.51/22.97 inference(monotonicity,[status(thm)],[23752])).
% 22.51/22.97 tff(23754,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3)))),
% 22.51/22.97 inference(transitivity,[status(thm)],[23753, 23751])).
% 22.51/22.97 tff(23755,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s3)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s3))),
% 22.51/22.97 inference(quant_inst,[status(thm)],[])).
% 22.51/22.97 tff(23756,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s3))),
% 22.51/22.97 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 22.51/22.97 tff(23757,plain,
% 22.51/22.97 ($false),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23756, 20124, 23750, 22062, 23749, 22063])).
% 22.51/22.97 tff(23758,plain,((~trans(s199, s3)) | until2p29(s3) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.97 tff(23759,plain,
% 22.51/22.97 (~trans(s199, s3)),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23758, 22563, 20114])).
% 22.51/22.97 tff(23760,assumption,(~until2p29(s69)), introduced(assumption)).
% 22.51/22.97 tff(23761,assumption,(trans(s199, s69)), introduced(assumption)).
% 22.51/22.97 tff(23762,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23763,plain,
% 22.51/22.97 (((~trans(s199, s69)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s69)) <=> (until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23764,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69))))),
% 22.51/22.97 inference(monotonicity,[status(thm)],[23763])).
% 22.51/22.97 tff(23765,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69)))),
% 22.51/22.97 inference(transitivity,[status(thm)],[23764, 23762])).
% 22.51/22.97 tff(23766,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s69)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s69))),
% 22.51/22.97 inference(quant_inst,[status(thm)],[])).
% 22.51/22.97 tff(23767,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s69))),
% 22.51/22.97 inference(modus_ponens,[status(thm)],[23766, 23765])).
% 22.51/22.97 tff(23768,plain,
% 22.51/22.97 ($false),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23767, 20124, 23761, 22062, 23760, 22063])).
% 22.51/22.97 tff(23769,plain,((~trans(s199, s69)) | until2p29(s69) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.97 tff(23770,plain,
% 22.51/22.97 (~trans(s199, s69)),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23769, 21452, 20114])).
% 22.51/22.97 tff(23771,assumption,(~until2p29(s129)), introduced(assumption)).
% 22.51/22.97 tff(23772,assumption,(trans(s199, s129)), introduced(assumption)).
% 22.51/22.97 tff(23773,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23774,plain,
% 22.51/22.97 (((~trans(s199, s129)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s129)) <=> (until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23775,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129))))),
% 22.51/22.97 inference(monotonicity,[status(thm)],[23774])).
% 22.51/22.97 tff(23776,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129)))),
% 22.51/22.97 inference(transitivity,[status(thm)],[23775, 23773])).
% 22.51/22.97 tff(23777,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s129)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s129))),
% 22.51/22.97 inference(quant_inst,[status(thm)],[])).
% 22.51/22.97 tff(23778,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s129))),
% 22.51/22.97 inference(modus_ponens,[status(thm)],[23777, 23776])).
% 22.51/22.97 tff(23779,plain,
% 22.51/22.97 ($false),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23778, 20124, 23772, 22062, 23771, 22063])).
% 22.51/22.97 tff(23780,plain,((~trans(s199, s129)) | until2p29(s129) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.97 tff(23781,plain,
% 22.51/22.97 (~trans(s199, s129)),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23780, 20852, 20114])).
% 22.51/22.97 tff(23782,assumption,(~until2p29(s146)), introduced(assumption)).
% 22.51/22.97 tff(23783,assumption,(trans(s199, s146)), introduced(assumption)).
% 22.51/22.97 tff(23784,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23785,plain,
% 22.51/22.97 (((~trans(s199, s146)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s146)) <=> (until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23786,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146))))),
% 22.51/22.97 inference(monotonicity,[status(thm)],[23785])).
% 22.51/22.97 tff(23787,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146)))),
% 22.51/22.97 inference(transitivity,[status(thm)],[23786, 23784])).
% 22.51/22.97 tff(23788,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s146)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s146))),
% 22.51/22.97 inference(quant_inst,[status(thm)],[])).
% 22.51/22.97 tff(23789,plain,
% 22.51/22.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s146))),
% 22.51/22.97 inference(modus_ponens,[status(thm)],[23788, 23787])).
% 22.51/22.97 tff(23790,plain,
% 22.51/22.97 ($false),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23789, 20124, 23783, 22062, 23782, 22063])).
% 22.51/22.97 tff(23791,plain,((~trans(s199, s146)) | until2p29(s146) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.51/22.97 tff(23792,plain,
% 22.51/22.97 (~trans(s199, s146)),
% 22.51/22.97 inference(unit_resolution,[status(thm)],[23791, 20682, 20114])).
% 22.51/22.97 tff(23793,assumption,(~until2p29(s175)), introduced(assumption)).
% 22.51/22.97 tff(23794,assumption,(trans(s199, s175)), introduced(assumption)).
% 22.51/22.97 tff(23795,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23796,plain,
% 22.51/22.97 (((~trans(s199, s175)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s175)) <=> (until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175)))),
% 22.51/22.97 inference(rewrite,[status(thm)],[])).
% 22.51/22.97 tff(23797,plain,
% 22.51/22.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23796])).
% 22.59/22.98 tff(23798,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175)))),
% 22.59/22.98 inference(transitivity,[status(thm)],[23797, 23795])).
% 22.59/22.98 tff(23799,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s175)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s175))),
% 22.59/22.98 inference(quant_inst,[status(thm)],[])).
% 22.59/22.98 tff(23800,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s175))),
% 22.59/22.98 inference(modus_ponens,[status(thm)],[23799, 23798])).
% 22.59/22.98 tff(23801,plain,
% 22.59/22.98 ($false),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23800, 20124, 23794, 22062, 23793, 22063])).
% 22.59/22.98 tff(23802,plain,((~trans(s199, s175)) | until2p29(s175) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.98 tff(23803,plain,
% 22.59/22.98 (~trans(s199, s175)),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23802, 20392, 20114])).
% 22.59/22.98 tff(23804,assumption,(~until2p29(s14)), introduced(assumption)).
% 22.59/22.98 tff(23805,assumption,(trans(s199, s14)), introduced(assumption)).
% 22.59/22.98 tff(23806,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23807,plain,
% 22.59/22.98 (((~trans(s199, s14)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s14)) <=> (until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23808,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23807])).
% 22.59/22.98 tff(23809,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14)))),
% 22.59/22.98 inference(transitivity,[status(thm)],[23808, 23806])).
% 22.59/22.98 tff(23810,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s14)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s14))),
% 22.59/22.98 inference(quant_inst,[status(thm)],[])).
% 22.59/22.98 tff(23811,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s14))),
% 22.59/22.98 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 22.59/22.98 tff(23812,plain,
% 22.59/22.98 ($false),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23811, 20124, 23805, 22062, 23804, 22063])).
% 22.59/22.98 tff(23813,plain,((~trans(s199, s14)) | until2p29(s14) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.98 tff(23814,plain,
% 22.59/22.98 (~trans(s199, s14)),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23813, 22002, 20114])).
% 22.59/22.98 tff(23815,assumption,(~until2p29(s177)), introduced(assumption)).
% 22.59/22.98 tff(23816,assumption,(trans(s199, s177)), introduced(assumption)).
% 22.59/22.98 tff(23817,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23818,plain,
% 22.59/22.98 (((~trans(s199, s177)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s177)) <=> (until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23819,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23818])).
% 22.59/22.98 tff(23820,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177)))),
% 22.59/22.98 inference(transitivity,[status(thm)],[23819, 23817])).
% 22.59/22.98 tff(23821,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s177)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s177))),
% 22.59/22.98 inference(quant_inst,[status(thm)],[])).
% 22.59/22.98 tff(23822,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s177))),
% 22.59/22.98 inference(modus_ponens,[status(thm)],[23821, 23820])).
% 22.59/22.98 tff(23823,plain,
% 22.59/22.98 ($false),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23822, 20124, 23816, 22062, 23815, 22063])).
% 22.59/22.98 tff(23824,plain,((~trans(s199, s177)) | until2p29(s177) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.98 tff(23825,plain,
% 22.59/22.98 (~trans(s199, s177)),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23824, 20372, 20114])).
% 22.59/22.98 tff(23826,assumption,(~until2p29(s19)), introduced(assumption)).
% 22.59/22.98 tff(23827,assumption,(trans(s199, s19)), introduced(assumption)).
% 22.59/22.98 tff(23828,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23829,plain,
% 22.59/22.98 (((~trans(s199, s19)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s19)) <=> (until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23830,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23829])).
% 22.59/22.98 tff(23831,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19)))),
% 22.59/22.98 inference(transitivity,[status(thm)],[23830, 23828])).
% 22.59/22.98 tff(23832,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s19)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s19))),
% 22.59/22.98 inference(quant_inst,[status(thm)],[])).
% 22.59/22.98 tff(23833,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s19))),
% 22.59/22.98 inference(modus_ponens,[status(thm)],[23832, 23831])).
% 22.59/22.98 tff(23834,plain,
% 22.59/22.98 ($false),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23833, 20124, 23827, 22062, 23826, 22063])).
% 22.59/22.98 tff(23835,plain,((~trans(s199, s19)) | until2p29(s19) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.98 tff(23836,plain,
% 22.59/22.98 (~trans(s199, s19)),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23835, 21952, 20114])).
% 22.59/22.98 tff(23837,assumption,(~until2p29(s143)), introduced(assumption)).
% 22.59/22.98 tff(23838,assumption,(trans(s199, s143)), introduced(assumption)).
% 22.59/22.98 tff(23839,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23840,plain,
% 22.59/22.98 (((~trans(s199, s143)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s143)) <=> (until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23841,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23840])).
% 22.59/22.98 tff(23842,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143)))),
% 22.59/22.98 inference(transitivity,[status(thm)],[23841, 23839])).
% 22.59/22.98 tff(23843,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s143)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s143))),
% 22.59/22.98 inference(quant_inst,[status(thm)],[])).
% 22.59/22.98 tff(23844,plain,
% 22.59/22.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s143))),
% 22.59/22.98 inference(modus_ponens,[status(thm)],[23843, 23842])).
% 22.59/22.98 tff(23845,plain,
% 22.59/22.98 ($false),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23844, 20124, 23838, 22062, 23837, 22063])).
% 22.59/22.98 tff(23846,plain,((~trans(s199, s143)) | until2p29(s143) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.98 tff(23847,plain,
% 22.59/22.98 (~trans(s199, s143)),
% 22.59/22.98 inference(unit_resolution,[status(thm)],[23846, 20712, 20114])).
% 22.59/22.98 tff(23848,assumption,(~until2p29(s115)), introduced(assumption)).
% 22.59/22.98 tff(23849,assumption,(trans(s199, s115)), introduced(assumption)).
% 22.59/22.98 tff(23850,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23851,plain,
% 22.59/22.98 (((~trans(s199, s115)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s115)) <=> (until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115)))),
% 22.59/22.98 inference(rewrite,[status(thm)],[])).
% 22.59/22.98 tff(23852,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115))))),
% 22.59/22.98 inference(monotonicity,[status(thm)],[23851])).
% 22.59/22.98 tff(23853,plain,
% 22.59/22.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115)))),
% 22.59/22.99 inference(transitivity,[status(thm)],[23852, 23850])).
% 22.59/22.99 tff(23854,plain,
% 22.59/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s115)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s115))),
% 22.59/22.99 inference(quant_inst,[status(thm)],[])).
% 22.59/22.99 tff(23855,plain,
% 22.59/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s115))),
% 22.59/22.99 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 22.59/22.99 tff(23856,plain,
% 22.59/22.99 ($false),
% 22.59/22.99 inference(unit_resolution,[status(thm)],[23855, 20124, 23849, 22062, 23848, 22063])).
% 22.59/22.99 tff(23857,plain,((~trans(s199, s115)) | until2p29(s115) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.99 tff(23858,plain,
% 22.59/22.99 (~trans(s199, s115)),
% 22.59/22.99 inference(unit_resolution,[status(thm)],[23857, 20992, 20114])).
% 22.59/22.99 tff(23859,assumption,(~until2p29(s159)), introduced(assumption)).
% 22.59/22.99 tff(23860,assumption,(trans(s199, s159)), introduced(assumption)).
% 22.59/22.99 tff(23861,plain,
% 22.59/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159)))),
% 22.59/22.99 inference(rewrite,[status(thm)],[])).
% 22.59/22.99 tff(23862,plain,
% 22.59/22.99 (((~trans(s199, s159)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s159)) <=> (until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159)))),
% 22.59/22.99 inference(rewrite,[status(thm)],[])).
% 22.59/22.99 tff(23863,plain,
% 22.59/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159))))),
% 22.59/22.99 inference(monotonicity,[status(thm)],[23862])).
% 22.59/22.99 tff(23864,plain,
% 22.59/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159)))),
% 22.59/22.99 inference(transitivity,[status(thm)],[23863, 23861])).
% 22.59/22.99 tff(23865,plain,
% 22.59/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s159)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s159))),
% 22.59/22.99 inference(quant_inst,[status(thm)],[])).
% 22.59/22.99 tff(23866,plain,
% 22.59/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s159))),
% 22.59/22.99 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 22.59/22.99 tff(23867,plain,
% 22.59/22.99 ($false),
% 22.59/22.99 inference(unit_resolution,[status(thm)],[23866, 20124, 23860, 22062, 23859, 22063])).
% 22.59/22.99 tff(23868,plain,((~trans(s199, s159)) | until2p29(s159) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.59/22.99 tff(23869,plain,
% 22.59/22.99 (~trans(s199, s159)),
% 22.59/22.99 inference(unit_resolution,[status(thm)],[23868, 20552, 20114])).
% 22.59/22.99 tff(23870,assumption,(~until2p29(s161)), introduced(assumption)).
% 22.59/22.99 tff(23871,assumption,(trans(s199, s161)), introduced(assumption)).
% 22.59/22.99 tff(23872,plain,
% 22.59/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161)))),
% 22.59/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23873,plain,
% 22.61/22.99 (((~trans(s199, s161)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s161)) <=> (until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23874,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161))))),
% 22.61/22.99 inference(monotonicity,[status(thm)],[23873])).
% 22.61/22.99 tff(23875,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161)))),
% 22.61/22.99 inference(transitivity,[status(thm)],[23874, 23872])).
% 22.61/22.99 tff(23876,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s161)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s161))),
% 22.61/22.99 inference(quant_inst,[status(thm)],[])).
% 22.61/22.99 tff(23877,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s161))),
% 22.61/22.99 inference(modus_ponens,[status(thm)],[23876, 23875])).
% 22.61/22.99 tff(23878,plain,
% 22.61/22.99 ($false),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23877, 20124, 23871, 22062, 23870, 22063])).
% 22.61/22.99 tff(23879,plain,((~trans(s199, s161)) | until2p29(s161) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/22.99 tff(23880,plain,
% 22.61/22.99 (~trans(s199, s161)),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23879, 20532, 20114])).
% 22.61/22.99 tff(23881,assumption,(~until2p29(s10)), introduced(assumption)).
% 22.61/22.99 tff(23882,assumption,(trans(s199, s10)), introduced(assumption)).
% 22.61/22.99 tff(23883,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23884,plain,
% 22.61/22.99 (((~trans(s199, s10)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s10)) <=> (until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23885,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10))))),
% 22.61/22.99 inference(monotonicity,[status(thm)],[23884])).
% 22.61/22.99 tff(23886,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10)))),
% 22.61/22.99 inference(transitivity,[status(thm)],[23885, 23883])).
% 22.61/22.99 tff(23887,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s10)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s10))),
% 22.61/22.99 inference(quant_inst,[status(thm)],[])).
% 22.61/22.99 tff(23888,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s10))),
% 22.61/22.99 inference(modus_ponens,[status(thm)],[23887, 23886])).
% 22.61/22.99 tff(23889,plain,
% 22.61/22.99 ($false),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23888, 20124, 23882, 22062, 23881, 22063])).
% 22.61/22.99 tff(23890,plain,((~trans(s199, s10)) | until2p29(s10) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/22.99 tff(23891,plain,
% 22.61/22.99 (~trans(s199, s10)),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23890, 22042, 20114])).
% 22.61/22.99 tff(23892,assumption,(~until2p29(s184)), introduced(assumption)).
% 22.61/22.99 tff(23893,assumption,(trans(s199, s184)), introduced(assumption)).
% 22.61/22.99 tff(23894,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23895,plain,
% 22.61/22.99 (((~trans(s199, s184)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s184)) <=> (until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23896,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184))))),
% 22.61/22.99 inference(monotonicity,[status(thm)],[23895])).
% 22.61/22.99 tff(23897,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184)))),
% 22.61/22.99 inference(transitivity,[status(thm)],[23896, 23894])).
% 22.61/22.99 tff(23898,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s184)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s184))),
% 22.61/22.99 inference(quant_inst,[status(thm)],[])).
% 22.61/22.99 tff(23899,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s184))),
% 22.61/22.99 inference(modus_ponens,[status(thm)],[23898, 23897])).
% 22.61/22.99 tff(23900,plain,
% 22.61/22.99 ($false),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23899, 20124, 23893, 22062, 23892, 22063])).
% 22.61/22.99 tff(23901,plain,((~trans(s199, s184)) | until2p29(s184) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/22.99 tff(23902,plain,
% 22.61/22.99 (~trans(s199, s184)),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23901, 20302, 20114])).
% 22.61/22.99 tff(23903,assumption,(~until2p29(s178)), introduced(assumption)).
% 22.61/22.99 tff(23904,assumption,(trans(s199, s178)), introduced(assumption)).
% 22.61/22.99 tff(23905,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23906,plain,
% 22.61/22.99 (((~trans(s199, s178)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s178)) <=> (until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178)))),
% 22.61/22.99 inference(rewrite,[status(thm)],[])).
% 22.61/22.99 tff(23907,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178))))),
% 22.61/22.99 inference(monotonicity,[status(thm)],[23906])).
% 22.61/22.99 tff(23908,plain,
% 22.61/22.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178)))),
% 22.61/22.99 inference(transitivity,[status(thm)],[23907, 23905])).
% 22.61/22.99 tff(23909,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s178)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s178))),
% 22.61/22.99 inference(quant_inst,[status(thm)],[])).
% 22.61/22.99 tff(23910,plain,
% 22.61/22.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s178))),
% 22.61/22.99 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 22.61/22.99 tff(23911,plain,
% 22.61/22.99 ($false),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23910, 20124, 23904, 22062, 23903, 22063])).
% 22.61/22.99 tff(23912,plain,((~trans(s199, s178)) | until2p29(s178) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/22.99 tff(23913,plain,
% 22.61/22.99 (~trans(s199, s178)),
% 22.61/22.99 inference(unit_resolution,[status(thm)],[23912, 20362, 20114])).
% 22.61/22.99 tff(23914,assumption,(~until2p29(s63)), introduced(assumption)).
% 22.61/22.99 tff(23915,assumption,(trans(s199, s63)), introduced(assumption)).
% 22.61/22.99 tff(23916,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23917,plain,
% 22.61/23.00 (((~trans(s199, s63)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s63)) <=> (until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23918,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23917])).
% 22.61/23.00 tff(23919,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23918, 23916])).
% 22.61/23.00 tff(23920,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s63)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s63))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23921,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s63))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23920, 23919])).
% 22.61/23.00 tff(23922,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23921, 20124, 23915, 22062, 23914, 22063])).
% 22.61/23.00 tff(23923,plain,((~trans(s199, s63)) | until2p29(s63) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23924,plain,
% 22.61/23.00 (~trans(s199, s63)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23923, 21512, 20114])).
% 22.61/23.00 tff(23925,assumption,(~until2p29(s160)), introduced(assumption)).
% 22.61/23.00 tff(23926,assumption,(trans(s199, s160)), introduced(assumption)).
% 22.61/23.00 tff(23927,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23928,plain,
% 22.61/23.00 (((~trans(s199, s160)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s160)) <=> (until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23929,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23928])).
% 22.61/23.00 tff(23930,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23929, 23927])).
% 22.61/23.00 tff(23931,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s160)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s160))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23932,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s160))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23931, 23930])).
% 22.61/23.00 tff(23933,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23932, 20124, 23926, 22062, 23925, 22063])).
% 22.61/23.00 tff(23934,plain,((~trans(s199, s160)) | until2p29(s160) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23935,plain,
% 22.61/23.00 (~trans(s199, s160)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23934, 20542, 20114])).
% 22.61/23.00 tff(23936,assumption,(~until2p29(s29)), introduced(assumption)).
% 22.61/23.00 tff(23937,assumption,(trans(s199, s29)), introduced(assumption)).
% 22.61/23.00 tff(23938,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23939,plain,
% 22.61/23.00 (((~trans(s199, s29)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s29)) <=> (until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23940,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23939])).
% 22.61/23.00 tff(23941,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23940, 23938])).
% 22.61/23.00 tff(23942,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s29)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s29))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23943,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s29))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 22.61/23.00 tff(23944,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23943, 20124, 23937, 22062, 23936, 22063])).
% 22.61/23.00 tff(23945,plain,((~trans(s199, s29)) | until2p29(s29) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23946,plain,
% 22.61/23.00 (~trans(s199, s29)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23945, 21852, 20114])).
% 22.61/23.00 tff(23947,assumption,(~until2p29(s151)), introduced(assumption)).
% 22.61/23.00 tff(23948,assumption,(trans(s199, s151)), introduced(assumption)).
% 22.61/23.00 tff(23949,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23950,plain,
% 22.61/23.00 (((~trans(s199, s151)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s151)) <=> (until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23951,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23950])).
% 22.61/23.00 tff(23952,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23951, 23949])).
% 22.61/23.00 tff(23953,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s151)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s151))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23954,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s151))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 22.61/23.00 tff(23955,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23954, 20124, 23948, 22062, 23947, 22063])).
% 22.61/23.00 tff(23956,plain,((~trans(s199, s151)) | until2p29(s151) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23957,plain,
% 22.61/23.00 (~trans(s199, s151)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23956, 20632, 20114])).
% 22.61/23.00 tff(23958,assumption,(~until2p29(s55)), introduced(assumption)).
% 22.61/23.00 tff(23959,assumption,(trans(s199, s55)), introduced(assumption)).
% 22.61/23.00 tff(23960,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23961,plain,
% 22.61/23.00 (((~trans(s199, s55)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s55)) <=> (until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23962,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23961])).
% 22.61/23.00 tff(23963,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23962, 23960])).
% 22.61/23.00 tff(23964,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s55)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s55))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23965,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s55))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23964, 23963])).
% 22.61/23.00 tff(23966,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23965, 20124, 23959, 22062, 23958, 22063])).
% 22.61/23.00 tff(23967,plain,((~trans(s199, s55)) | until2p29(s55) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23968,plain,
% 22.61/23.00 (~trans(s199, s55)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23967, 21592, 20114])).
% 22.61/23.00 tff(23969,assumption,(~until2p29(s58)), introduced(assumption)).
% 22.61/23.00 tff(23970,assumption,(trans(s199, s58)), introduced(assumption)).
% 22.61/23.00 tff(23971,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23972,plain,
% 22.61/23.00 (((~trans(s199, s58)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s58)) <=> (until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23973,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23972])).
% 22.61/23.00 tff(23974,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58)))),
% 22.61/23.00 inference(transitivity,[status(thm)],[23973, 23971])).
% 22.61/23.00 tff(23975,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s58)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s58))),
% 22.61/23.00 inference(quant_inst,[status(thm)],[])).
% 22.61/23.00 tff(23976,plain,
% 22.61/23.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s58))),
% 22.61/23.00 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 22.61/23.00 tff(23977,plain,
% 22.61/23.00 ($false),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23976, 20124, 23970, 22062, 23969, 22063])).
% 22.61/23.00 tff(23978,plain,((~trans(s199, s58)) | until2p29(s58) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.00 tff(23979,plain,
% 22.61/23.00 (~trans(s199, s58)),
% 22.61/23.00 inference(unit_resolution,[status(thm)],[23978, 21562, 20114])).
% 22.61/23.00 tff(23980,assumption,(~until2p29(s21)), introduced(assumption)).
% 22.61/23.00 tff(23981,assumption,(trans(s199, s21)), introduced(assumption)).
% 22.61/23.00 tff(23982,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23983,plain,
% 22.61/23.00 (((~trans(s199, s21)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s21)) <=> (until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21)))),
% 22.61/23.00 inference(rewrite,[status(thm)],[])).
% 22.61/23.00 tff(23984,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21))))),
% 22.61/23.00 inference(monotonicity,[status(thm)],[23983])).
% 22.61/23.00 tff(23985,plain,
% 22.61/23.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[23984, 23982])).
% 22.61/23.01 tff(23986,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s21)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s21))),
% 22.61/23.01 inference(quant_inst,[status(thm)],[])).
% 22.61/23.01 tff(23987,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s21))),
% 22.61/23.01 inference(modus_ponens,[status(thm)],[23986, 23985])).
% 22.61/23.01 tff(23988,plain,
% 22.61/23.01 ($false),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[23987, 20124, 23981, 22062, 23980, 22063])).
% 22.61/23.01 tff(23989,plain,((~trans(s199, s21)) | until2p29(s21) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.01 tff(23990,plain,
% 22.61/23.01 (~trans(s199, s21)),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[23989, 21932, 20114])).
% 22.61/23.01 tff(23991,assumption,(~until2p29(s100)), introduced(assumption)).
% 22.61/23.01 tff(23992,assumption,(trans(s199, s100)), introduced(assumption)).
% 22.61/23.01 tff(23993,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(23994,plain,
% 22.61/23.01 (((~trans(s199, s100)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s100)) <=> (until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(23995,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100))))),
% 22.61/23.01 inference(monotonicity,[status(thm)],[23994])).
% 22.61/23.01 tff(23996,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[23995, 23993])).
% 22.61/23.01 tff(23997,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s100)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s100))),
% 22.61/23.01 inference(quant_inst,[status(thm)],[])).
% 22.61/23.01 tff(23998,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s100))),
% 22.61/23.01 inference(modus_ponens,[status(thm)],[23997, 23996])).
% 22.61/23.01 tff(23999,plain,
% 22.61/23.01 ($false),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[23998, 20124, 23992, 22062, 23991, 22063])).
% 22.61/23.01 tff(24000,plain,((~trans(s199, s100)) | until2p29(s100) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.01 tff(24001,plain,
% 22.61/23.01 (~trans(s199, s100)),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24000, 21142, 20114])).
% 22.61/23.01 tff(24002,assumption,(~until2p29(s15)), introduced(assumption)).
% 22.61/23.01 tff(24003,assumption,(trans(s199, s15)), introduced(assumption)).
% 22.61/23.01 tff(24004,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24005,plain,
% 22.61/23.01 (((~trans(s199, s15)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s15)) <=> (until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24006,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15))))),
% 22.61/23.01 inference(monotonicity,[status(thm)],[24005])).
% 22.61/23.01 tff(24007,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[24006, 24004])).
% 22.61/23.01 tff(24008,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s15)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s15))),
% 22.61/23.01 inference(quant_inst,[status(thm)],[])).
% 22.61/23.01 tff(24009,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s15))),
% 22.61/23.01 inference(modus_ponens,[status(thm)],[24008, 24007])).
% 22.61/23.01 tff(24010,plain,
% 22.61/23.01 ($false),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24009, 20124, 24003, 22062, 24002, 22063])).
% 22.61/23.01 tff(24011,plain,((~trans(s199, s15)) | until2p29(s15) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.01 tff(24012,plain,
% 22.61/23.01 (~trans(s199, s15)),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24011, 21992, 20114])).
% 22.61/23.01 tff(24013,assumption,(~until2p29(s195)), introduced(assumption)).
% 22.61/23.01 tff(24014,assumption,(trans(s199, s195)), introduced(assumption)).
% 22.61/23.01 tff(24015,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24016,plain,
% 22.61/23.01 (((~trans(s199, s195)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s195)) <=> (until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24017,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195))))),
% 22.61/23.01 inference(monotonicity,[status(thm)],[24016])).
% 22.61/23.01 tff(24018,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[24017, 24015])).
% 22.61/23.01 tff(24019,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s195)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s195))),
% 22.61/23.01 inference(quant_inst,[status(thm)],[])).
% 22.61/23.01 tff(24020,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s195))),
% 22.61/23.01 inference(modus_ponens,[status(thm)],[24019, 24018])).
% 22.61/23.01 tff(24021,plain,
% 22.61/23.01 ($false),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24020, 20124, 24014, 22062, 24013, 22063])).
% 22.61/23.01 tff(24022,plain,((~trans(s199, s195)) | until2p29(s195) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.01 tff(24023,plain,
% 22.61/23.01 (~trans(s199, s195)),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24022, 20192, 20114])).
% 22.61/23.01 tff(24024,assumption,(~until2p29(s192)), introduced(assumption)).
% 22.61/23.01 tff(24025,assumption,(trans(s199, s192)), introduced(assumption)).
% 22.61/23.01 tff(24026,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24027,plain,
% 22.61/23.01 (((~trans(s199, s192)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s192)) <=> (until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24028,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192))))),
% 22.61/23.01 inference(monotonicity,[status(thm)],[24027])).
% 22.61/23.01 tff(24029,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[24028, 24026])).
% 22.61/23.01 tff(24030,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s192)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s192))),
% 22.61/23.01 inference(quant_inst,[status(thm)],[])).
% 22.61/23.01 tff(24031,plain,
% 22.61/23.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s192))),
% 22.61/23.01 inference(modus_ponens,[status(thm)],[24030, 24029])).
% 22.61/23.01 tff(24032,plain,
% 22.61/23.01 ($false),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24031, 20124, 24025, 22062, 24024, 22063])).
% 22.61/23.01 tff(24033,plain,((~trans(s199, s192)) | until2p29(s192) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.01 tff(24034,plain,
% 22.61/23.01 (~trans(s199, s192)),
% 22.61/23.01 inference(unit_resolution,[status(thm)],[24033, 20222, 20114])).
% 22.61/23.01 tff(24035,assumption,(~until2p29(s97)), introduced(assumption)).
% 22.61/23.01 tff(24036,assumption,(trans(s199, s97)), introduced(assumption)).
% 22.61/23.01 tff(24037,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24038,plain,
% 22.61/23.01 (((~trans(s199, s97)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s97)) <=> (until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97)))),
% 22.61/23.01 inference(rewrite,[status(thm)],[])).
% 22.61/23.01 tff(24039,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97))))),
% 22.61/23.01 inference(monotonicity,[status(thm)],[24038])).
% 22.61/23.01 tff(24040,plain,
% 22.61/23.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97)))),
% 22.61/23.01 inference(transitivity,[status(thm)],[24039, 24037])).
% 22.61/23.01 tff(24041,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s97)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s97))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24042,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s97))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 22.61/23.02 tff(24043,plain,
% 22.61/23.02 ($false),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24042, 20124, 24036, 22062, 24035, 22063])).
% 22.61/23.02 tff(24044,plain,((~trans(s199, s97)) | until2p29(s97) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.02 tff(24045,plain,
% 22.61/23.02 (~trans(s199, s97)),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24044, 21172, 20114])).
% 22.61/23.02 tff(24046,assumption,(~until2p29(s35)), introduced(assumption)).
% 22.61/23.02 tff(24047,assumption,(trans(s199, s35)), introduced(assumption)).
% 22.61/23.02 tff(24048,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24049,plain,
% 22.61/23.02 (((~trans(s199, s35)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s35)) <=> (until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24050,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35))))),
% 22.61/23.02 inference(monotonicity,[status(thm)],[24049])).
% 22.61/23.02 tff(24051,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35)))),
% 22.61/23.02 inference(transitivity,[status(thm)],[24050, 24048])).
% 22.61/23.02 tff(24052,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s35)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s35))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24053,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s35))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24052, 24051])).
% 22.61/23.02 tff(24054,plain,
% 22.61/23.02 ($false),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24053, 20124, 24047, 22062, 24046, 22063])).
% 22.61/23.02 tff(24055,plain,((~trans(s199, s35)) | until2p29(s35) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.02 tff(24056,plain,
% 22.61/23.02 (~trans(s199, s35)),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24055, 21792, 20114])).
% 22.61/23.02 tff(24057,assumption,(~until2p29(s34)), introduced(assumption)).
% 22.61/23.02 tff(24058,assumption,(trans(s199, s34)), introduced(assumption)).
% 22.61/23.02 tff(24059,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24060,plain,
% 22.61/23.02 (((~trans(s199, s34)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s34)) <=> (until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24061,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34))))),
% 22.61/23.02 inference(monotonicity,[status(thm)],[24060])).
% 22.61/23.02 tff(24062,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34)))),
% 22.61/23.02 inference(transitivity,[status(thm)],[24061, 24059])).
% 22.61/23.02 tff(24063,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s34)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s34))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24064,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s34))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 22.61/23.02 tff(24065,plain,
% 22.61/23.02 ($false),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24064, 20124, 24058, 22062, 24057, 22063])).
% 22.61/23.02 tff(24066,plain,((~trans(s199, s34)) | until2p29(s34) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.02 tff(24067,plain,
% 22.61/23.02 (~trans(s199, s34)),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24066, 21802, 20114])).
% 22.61/23.02 tff(24068,assumption,(~until2p29(s6)), introduced(assumption)).
% 22.61/23.02 tff(24069,assumption,(trans(s199, s6)), introduced(assumption)).
% 22.61/23.02 tff(24070,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24071,plain,
% 22.61/23.02 (((~trans(s199, s6)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s6)) <=> (until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24072,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6))))),
% 22.61/23.02 inference(monotonicity,[status(thm)],[24071])).
% 22.61/23.02 tff(24073,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6)))),
% 22.61/23.02 inference(transitivity,[status(thm)],[24072, 24070])).
% 22.61/23.02 tff(24074,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s6)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s6))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24075,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s6))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24074, 24073])).
% 22.61/23.02 tff(24076,plain,
% 22.61/23.02 ($false),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24075, 20124, 24069, 22062, 24068, 22063])).
% 22.61/23.02 tff(24077,plain,((~trans(s199, s6)) | until2p29(s6) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.02 tff(24078,plain,
% 22.61/23.02 (~trans(s199, s6)),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24077, 22324, 20114])).
% 22.61/23.02 tff(24079,assumption,(~until2p29(s42)), introduced(assumption)).
% 22.61/23.02 tff(24080,assumption,(trans(s199, s42)), introduced(assumption)).
% 22.61/23.02 tff(24081,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24082,plain,
% 22.61/23.02 (((~trans(s199, s42)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s42)) <=> (until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24083,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42))))),
% 22.61/23.02 inference(monotonicity,[status(thm)],[24082])).
% 22.61/23.02 tff(24084,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42)))),
% 22.61/23.02 inference(transitivity,[status(thm)],[24083, 24081])).
% 22.61/23.02 tff(24085,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s42)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s42))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24086,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s42))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 22.61/23.02 tff(24087,plain,
% 22.61/23.02 ($false),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24086, 20124, 24080, 22062, 24079, 22063])).
% 22.61/23.02 tff(24088,plain,((~trans(s199, s42)) | until2p29(s42) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.02 tff(24089,plain,
% 22.61/23.02 (~trans(s199, s42)),
% 22.61/23.02 inference(unit_resolution,[status(thm)],[24088, 21722, 20114])).
% 22.61/23.02 tff(24090,assumption,(~until2p29(s114)), introduced(assumption)).
% 22.61/23.02 tff(24091,assumption,(trans(s199, s114)), introduced(assumption)).
% 22.61/23.02 tff(24092,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24093,plain,
% 22.61/23.02 (((~trans(s199, s114)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s114)) <=> (until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114)))),
% 22.61/23.02 inference(rewrite,[status(thm)],[])).
% 22.61/23.02 tff(24094,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114))))),
% 22.61/23.02 inference(monotonicity,[status(thm)],[24093])).
% 22.61/23.02 tff(24095,plain,
% 22.61/23.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114)))),
% 22.61/23.02 inference(transitivity,[status(thm)],[24094, 24092])).
% 22.61/23.02 tff(24096,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s114)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s114))),
% 22.61/23.02 inference(quant_inst,[status(thm)],[])).
% 22.61/23.02 tff(24097,plain,
% 22.61/23.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s114))),
% 22.61/23.02 inference(modus_ponens,[status(thm)],[24096, 24095])).
% 22.61/23.03 tff(24098,plain,
% 22.61/23.03 ($false),
% 22.61/23.03 inference(unit_resolution,[status(thm)],[24097, 20124, 24091, 22062, 24090, 22063])).
% 22.61/23.03 tff(24099,plain,((~trans(s199, s114)) | until2p29(s114) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.03 tff(24100,plain,
% 22.61/23.03 (~trans(s199, s114)),
% 22.61/23.03 inference(unit_resolution,[status(thm)],[24099, 21002, 20114])).
% 22.61/23.03 tff(24101,assumption,(~until2p29(s83)), introduced(assumption)).
% 22.61/23.03 tff(24102,assumption,(trans(s199, s83)), introduced(assumption)).
% 22.61/23.03 tff(24103,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83)))),
% 22.61/23.03 inference(rewrite,[status(thm)],[])).
% 22.61/23.03 tff(24104,plain,
% 22.61/23.03 (((~trans(s199, s83)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s83)) <=> (until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83)))),
% 22.61/23.03 inference(rewrite,[status(thm)],[])).
% 22.61/23.03 tff(24105,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83))))),
% 22.61/23.03 inference(monotonicity,[status(thm)],[24104])).
% 22.61/23.03 tff(24106,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83)))),
% 22.61/23.03 inference(transitivity,[status(thm)],[24105, 24103])).
% 22.61/23.03 tff(24107,plain,
% 22.61/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s83)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s83))),
% 22.61/23.03 inference(quant_inst,[status(thm)],[])).
% 22.61/23.03 tff(24108,plain,
% 22.61/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s83))),
% 22.61/23.03 inference(modus_ponens,[status(thm)],[24107, 24106])).
% 22.61/23.03 tff(24109,plain,
% 22.61/23.03 ($false),
% 22.61/23.03 inference(unit_resolution,[status(thm)],[24108, 20124, 24102, 22062, 24101, 22063])).
% 22.61/23.03 tff(24110,plain,((~trans(s199, s83)) | until2p29(s83) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.61/23.03 tff(24111,plain,
% 22.61/23.03 (~trans(s199, s83)),
% 22.61/23.03 inference(unit_resolution,[status(thm)],[24110, 21312, 20114])).
% 22.61/23.03 tff(24112,assumption,(~until2p29(s162)), introduced(assumption)).
% 22.61/23.03 tff(24113,assumption,(trans(s199, s162)), introduced(assumption)).
% 22.61/23.03 tff(24114,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162)))),
% 22.61/23.03 inference(rewrite,[status(thm)],[])).
% 22.61/23.03 tff(24115,plain,
% 22.61/23.03 (((~trans(s199, s162)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s162)) <=> (until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162)))),
% 22.61/23.03 inference(rewrite,[status(thm)],[])).
% 22.61/23.03 tff(24116,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162))))),
% 22.61/23.03 inference(monotonicity,[status(thm)],[24115])).
% 22.61/23.03 tff(24117,plain,
% 22.61/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24116, 24114])).
% 22.65/23.03 tff(24118,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s162)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s162))),
% 22.65/23.03 inference(quant_inst,[status(thm)],[])).
% 22.65/23.03 tff(24119,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s162))),
% 22.65/23.03 inference(modus_ponens,[status(thm)],[24118, 24117])).
% 22.65/23.03 tff(24120,plain,
% 22.65/23.03 ($false),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24119, 20124, 24113, 22062, 24112, 22063])).
% 22.65/23.03 tff(24121,plain,((~trans(s199, s162)) | until2p29(s162) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.03 tff(24122,plain,
% 22.65/23.03 (~trans(s199, s162)),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24121, 20522, 20114])).
% 22.65/23.03 tff(24123,assumption,(~until2p29(s120)), introduced(assumption)).
% 22.65/23.03 tff(24124,assumption,(trans(s199, s120)), introduced(assumption)).
% 22.65/23.03 tff(24125,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24126,plain,
% 22.65/23.03 (((~trans(s199, s120)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s120)) <=> (until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24127,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120))))),
% 22.65/23.03 inference(monotonicity,[status(thm)],[24126])).
% 22.65/23.03 tff(24128,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24127, 24125])).
% 22.65/23.03 tff(24129,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s120)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s120))),
% 22.65/23.03 inference(quant_inst,[status(thm)],[])).
% 22.65/23.03 tff(24130,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s120))),
% 22.65/23.03 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 22.65/23.03 tff(24131,plain,
% 22.65/23.03 ($false),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24130, 20124, 24124, 22062, 24123, 22063])).
% 22.65/23.03 tff(24132,plain,((~trans(s199, s120)) | until2p29(s120) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.03 tff(24133,plain,
% 22.65/23.03 (~trans(s199, s120)),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24132, 20942, 20114])).
% 22.65/23.03 tff(24134,assumption,(~until2p29(s108)), introduced(assumption)).
% 22.65/23.03 tff(24135,assumption,(trans(s199, s108)), introduced(assumption)).
% 22.65/23.03 tff(24136,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24137,plain,
% 22.65/23.03 (((~trans(s199, s108)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s108)) <=> (until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24138,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108))))),
% 22.65/23.03 inference(monotonicity,[status(thm)],[24137])).
% 22.65/23.03 tff(24139,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24138, 24136])).
% 22.65/23.03 tff(24140,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s108)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s108))),
% 22.65/23.03 inference(quant_inst,[status(thm)],[])).
% 22.65/23.03 tff(24141,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s108))),
% 22.65/23.03 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 22.65/23.03 tff(24142,plain,
% 22.65/23.03 ($false),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24141, 20124, 24135, 22062, 24134, 22063])).
% 22.65/23.03 tff(24143,plain,((~trans(s199, s108)) | until2p29(s108) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.03 tff(24144,plain,
% 22.65/23.03 (~trans(s199, s108)),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24143, 21062, 20114])).
% 22.65/23.03 tff(24145,assumption,(~until2p29(s187)), introduced(assumption)).
% 22.65/23.03 tff(24146,assumption,(trans(s199, s187)), introduced(assumption)).
% 22.65/23.03 tff(24147,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24148,plain,
% 22.65/23.03 (((~trans(s199, s187)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s187)) <=> (until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24149,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187))))),
% 22.65/23.03 inference(monotonicity,[status(thm)],[24148])).
% 22.65/23.03 tff(24150,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24149, 24147])).
% 22.65/23.03 tff(24151,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s187)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s187))),
% 22.65/23.03 inference(quant_inst,[status(thm)],[])).
% 22.65/23.03 tff(24152,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s187))),
% 22.65/23.03 inference(modus_ponens,[status(thm)],[24151, 24150])).
% 22.65/23.03 tff(24153,plain,
% 22.65/23.03 ($false),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24152, 20124, 24146, 22062, 24145, 22063])).
% 22.65/23.03 tff(24154,plain,((~trans(s199, s187)) | until2p29(s187) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.03 tff(24155,plain,
% 22.65/23.03 (~trans(s199, s187)),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24154, 20272, 20114])).
% 22.65/23.03 tff(24156,assumption,(~until2p29(s102)), introduced(assumption)).
% 22.65/23.03 tff(24157,assumption,(trans(s199, s102)), introduced(assumption)).
% 22.65/23.03 tff(24158,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24159,plain,
% 22.65/23.03 (((~trans(s199, s102)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s102)) <=> (until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24160,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102))))),
% 22.65/23.03 inference(monotonicity,[status(thm)],[24159])).
% 22.65/23.03 tff(24161,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24160, 24158])).
% 22.65/23.03 tff(24162,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s102)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s102))),
% 22.65/23.03 inference(quant_inst,[status(thm)],[])).
% 22.65/23.03 tff(24163,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s102))),
% 22.65/23.03 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 22.65/23.03 tff(24164,plain,
% 22.65/23.03 ($false),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24163, 20124, 24157, 22062, 24156, 22063])).
% 22.65/23.03 tff(24165,plain,((~trans(s199, s102)) | until2p29(s102) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.03 tff(24166,plain,
% 22.65/23.03 (~trans(s199, s102)),
% 22.65/23.03 inference(unit_resolution,[status(thm)],[24165, 21122, 20114])).
% 22.65/23.03 tff(24167,assumption,(~until2p29(s182)), introduced(assumption)).
% 22.65/23.03 tff(24168,assumption,(trans(s199, s182)), introduced(assumption)).
% 22.65/23.03 tff(24169,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24170,plain,
% 22.65/23.03 (((~trans(s199, s182)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s182)) <=> (until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182)))),
% 22.65/23.03 inference(rewrite,[status(thm)],[])).
% 22.65/23.03 tff(24171,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182))))),
% 22.65/23.03 inference(monotonicity,[status(thm)],[24170])).
% 22.65/23.03 tff(24172,plain,
% 22.65/23.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182)))),
% 22.65/23.03 inference(transitivity,[status(thm)],[24171, 24169])).
% 22.65/23.03 tff(24173,plain,
% 22.65/23.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s182)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s182))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24174,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s182))),
% 22.65/23.04 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 22.65/23.04 tff(24175,plain,
% 22.65/23.04 ($false),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24174, 20124, 24168, 22062, 24167, 22063])).
% 22.65/23.04 tff(24176,plain,((~trans(s199, s182)) | until2p29(s182) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.04 tff(24177,plain,
% 22.65/23.04 (~trans(s199, s182)),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24176, 20322, 20114])).
% 22.65/23.04 tff(24178,assumption,(~until2p29(s168)), introduced(assumption)).
% 22.65/23.04 tff(24179,assumption,(trans(s199, s168)), introduced(assumption)).
% 22.65/23.04 tff(24180,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24181,plain,
% 22.65/23.04 (((~trans(s199, s168)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s168)) <=> (until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24182,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168))))),
% 22.65/23.04 inference(monotonicity,[status(thm)],[24181])).
% 22.65/23.04 tff(24183,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168)))),
% 22.65/23.04 inference(transitivity,[status(thm)],[24182, 24180])).
% 22.65/23.04 tff(24184,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s168)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s168))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24185,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s168))),
% 22.65/23.04 inference(modus_ponens,[status(thm)],[24184, 24183])).
% 22.65/23.04 tff(24186,plain,
% 22.65/23.04 ($false),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24185, 20124, 24179, 22062, 24178, 22063])).
% 22.65/23.04 tff(24187,plain,((~trans(s199, s168)) | until2p29(s168) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.04 tff(24188,plain,
% 22.65/23.04 (~trans(s199, s168)),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24187, 20462, 20114])).
% 22.65/23.04 tff(24189,assumption,(~until2p29(s124)), introduced(assumption)).
% 22.65/23.04 tff(24190,assumption,(trans(s199, s124)), introduced(assumption)).
% 22.65/23.04 tff(24191,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24192,plain,
% 22.65/23.04 (((~trans(s199, s124)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s124)) <=> (until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24193,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124))))),
% 22.65/23.04 inference(monotonicity,[status(thm)],[24192])).
% 22.65/23.04 tff(24194,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124)))),
% 22.65/23.04 inference(transitivity,[status(thm)],[24193, 24191])).
% 22.65/23.04 tff(24195,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s124)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s124))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24196,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s124))),
% 22.65/23.04 inference(modus_ponens,[status(thm)],[24195, 24194])).
% 22.65/23.04 tff(24197,plain,
% 22.65/23.04 ($false),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24196, 20124, 24190, 22062, 24189, 22063])).
% 22.65/23.04 tff(24198,plain,((~trans(s199, s124)) | until2p29(s124) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.04 tff(24199,plain,
% 22.65/23.04 (~trans(s199, s124)),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24198, 20902, 20114])).
% 22.65/23.04 tff(24200,assumption,(~until2p29(s72)), introduced(assumption)).
% 22.65/23.04 tff(24201,assumption,(trans(s199, s72)), introduced(assumption)).
% 22.65/23.04 tff(24202,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24203,plain,
% 22.65/23.04 (((~trans(s199, s72)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s72)) <=> (until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24204,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72))))),
% 22.65/23.04 inference(monotonicity,[status(thm)],[24203])).
% 22.65/23.04 tff(24205,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72)))),
% 22.65/23.04 inference(transitivity,[status(thm)],[24204, 24202])).
% 22.65/23.04 tff(24206,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s72)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s72))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24207,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s72))),
% 22.65/23.04 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 22.65/23.04 tff(24208,plain,
% 22.65/23.04 ($false),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24207, 20124, 24201, 22062, 24200, 22063])).
% 22.65/23.04 tff(24209,plain,((~trans(s199, s72)) | until2p29(s72) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.04 tff(24210,plain,
% 22.65/23.04 (~trans(s199, s72)),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24209, 21422, 20114])).
% 22.65/23.04 tff(24211,assumption,(~until2p29(s193)), introduced(assumption)).
% 22.65/23.04 tff(24212,assumption,(trans(s199, s193)), introduced(assumption)).
% 22.65/23.04 tff(24213,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24214,plain,
% 22.65/23.04 (((~trans(s199, s193)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s193)) <=> (until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24215,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193))))),
% 22.65/23.04 inference(monotonicity,[status(thm)],[24214])).
% 22.65/23.04 tff(24216,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193)))),
% 22.65/23.04 inference(transitivity,[status(thm)],[24215, 24213])).
% 22.65/23.04 tff(24217,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s193)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s193))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24218,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s193))),
% 22.65/23.04 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 22.65/23.04 tff(24219,plain,
% 22.65/23.04 ($false),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24218, 20124, 24212, 22062, 24211, 22063])).
% 22.65/23.04 tff(24220,plain,((~trans(s199, s193)) | until2p29(s193) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.04 tff(24221,plain,
% 22.65/23.04 (~trans(s199, s193)),
% 22.65/23.04 inference(unit_resolution,[status(thm)],[24220, 20212, 20114])).
% 22.65/23.04 tff(24222,assumption,(~until2p29(s59)), introduced(assumption)).
% 22.65/23.04 tff(24223,assumption,(trans(s199, s59)), introduced(assumption)).
% 22.65/23.04 tff(24224,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24225,plain,
% 22.65/23.04 (((~trans(s199, s59)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s59)) <=> (until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59)))),
% 22.65/23.04 inference(rewrite,[status(thm)],[])).
% 22.65/23.04 tff(24226,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59))))),
% 22.65/23.04 inference(monotonicity,[status(thm)],[24225])).
% 22.65/23.04 tff(24227,plain,
% 22.65/23.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59)))),
% 22.65/23.04 inference(transitivity,[status(thm)],[24226, 24224])).
% 22.65/23.04 tff(24228,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s59)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s59))),
% 22.65/23.04 inference(quant_inst,[status(thm)],[])).
% 22.65/23.04 tff(24229,plain,
% 22.65/23.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s59))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24228, 24227])).
% 22.65/23.05 tff(24230,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24229, 20124, 24223, 22062, 24222, 22063])).
% 22.65/23.05 tff(24231,plain,((~trans(s199, s59)) | until2p29(s59) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24232,plain,
% 22.65/23.05 (~trans(s199, s59)),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24231, 21552, 20114])).
% 22.65/23.05 tff(24233,assumption,(~until2p29(s50)), introduced(assumption)).
% 22.65/23.05 tff(24234,assumption,(trans(s199, s50)), introduced(assumption)).
% 22.65/23.05 tff(24235,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24236,plain,
% 22.65/23.05 (((~trans(s199, s50)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s50)) <=> (until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24237,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50))))),
% 22.65/23.05 inference(monotonicity,[status(thm)],[24236])).
% 22.65/23.05 tff(24238,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50)))),
% 22.65/23.05 inference(transitivity,[status(thm)],[24237, 24235])).
% 22.65/23.05 tff(24239,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s50)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s50))),
% 22.65/23.05 inference(quant_inst,[status(thm)],[])).
% 22.65/23.05 tff(24240,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s50))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 22.65/23.05 tff(24241,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24240, 20124, 24234, 22062, 24233, 22063])).
% 22.65/23.05 tff(24242,plain,((~trans(s199, s50)) | until2p29(s50) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24243,plain,
% 22.65/23.05 (~trans(s199, s50)),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24242, 21642, 20114])).
% 22.65/23.05 tff(24244,assumption,(~until2p29(s199)), introduced(assumption)).
% 22.65/23.05 tff(24245,assumption,(trans(s199, s199)), introduced(assumption)).
% 22.65/23.05 tff(24246,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24247,plain,
% 22.65/23.05 (((~trans(s199, s199)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s199)) <=> (until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24248,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199))))),
% 22.65/23.05 inference(monotonicity,[status(thm)],[24247])).
% 22.65/23.05 tff(24249,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199)))),
% 22.65/23.05 inference(transitivity,[status(thm)],[24248, 24246])).
% 22.65/23.05 tff(24250,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s199)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s199))),
% 22.65/23.05 inference(quant_inst,[status(thm)],[])).
% 22.65/23.05 tff(24251,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s199))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24250, 24249])).
% 22.65/23.05 tff(24252,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24251, 20124, 24245, 22062, 24244, 22063])).
% 22.65/23.05 tff(24253,plain,((~trans(s199, s199)) | until2p29(s199) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24254,plain,
% 22.65/23.05 (~trans(s199, s199)),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24253, 20143, 20114])).
% 22.65/23.05 tff(24255,assumption,(~until2p29(s73)), introduced(assumption)).
% 22.65/23.05 tff(24256,assumption,(trans(s199, s73)), introduced(assumption)).
% 22.65/23.05 tff(24257,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24258,plain,
% 22.65/23.05 (((~trans(s199, s73)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s73)) <=> (until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24259,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73))))),
% 22.65/23.05 inference(monotonicity,[status(thm)],[24258])).
% 22.65/23.05 tff(24260,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73)))),
% 22.65/23.05 inference(transitivity,[status(thm)],[24259, 24257])).
% 22.65/23.05 tff(24261,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s73)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s73))),
% 22.65/23.05 inference(quant_inst,[status(thm)],[])).
% 22.65/23.05 tff(24262,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s73))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 22.65/23.05 tff(24263,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24262, 20124, 24256, 22062, 24255, 22063])).
% 22.65/23.05 tff(24264,plain,((~trans(s199, s73)) | until2p29(s73) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24265,plain,
% 22.65/23.05 (~trans(s199, s73)),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24264, 21412, 20114])).
% 22.65/23.05 tff(24266,assumption,(~until2p29(s167)), introduced(assumption)).
% 22.65/23.05 tff(24267,assumption,(trans(s199, s167)), introduced(assumption)).
% 22.65/23.05 tff(24268,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24269,plain,
% 22.65/23.05 (((~trans(s199, s167)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s167)) <=> (until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24270,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167))))),
% 22.65/23.05 inference(monotonicity,[status(thm)],[24269])).
% 22.65/23.05 tff(24271,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167)))),
% 22.65/23.05 inference(transitivity,[status(thm)],[24270, 24268])).
% 22.65/23.05 tff(24272,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s167)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s167))),
% 22.65/23.05 inference(quant_inst,[status(thm)],[])).
% 22.65/23.05 tff(24273,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s167))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24272, 24271])).
% 22.65/23.05 tff(24274,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24273, 20124, 24267, 22062, 24266, 22063])).
% 22.65/23.05 tff(24275,plain,((~trans(s199, s167)) | until2p29(s167) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24276,plain,
% 22.65/23.05 (~trans(s199, s167)),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24275, 20472, 20114])).
% 22.65/23.05 tff(24277,assumption,(~until2p29(s147)), introduced(assumption)).
% 22.65/23.05 tff(24278,assumption,(trans(s199, s147)), introduced(assumption)).
% 22.65/23.05 tff(24279,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24280,plain,
% 22.65/23.05 (((~trans(s199, s147)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s147)) <=> (until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147)))),
% 22.65/23.05 inference(rewrite,[status(thm)],[])).
% 22.65/23.05 tff(24281,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147))))),
% 22.65/23.05 inference(monotonicity,[status(thm)],[24280])).
% 22.65/23.05 tff(24282,plain,
% 22.65/23.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147)))),
% 22.65/23.05 inference(transitivity,[status(thm)],[24281, 24279])).
% 22.65/23.05 tff(24283,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s147)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s147))),
% 22.65/23.05 inference(quant_inst,[status(thm)],[])).
% 22.65/23.05 tff(24284,plain,
% 22.65/23.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s147))),
% 22.65/23.05 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 22.65/23.05 tff(24285,plain,
% 22.65/23.05 ($false),
% 22.65/23.05 inference(unit_resolution,[status(thm)],[24284, 20124, 24278, 22062, 24277, 22063])).
% 22.65/23.05 tff(24286,plain,((~trans(s199, s147)) | until2p29(s147) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.05 tff(24287,plain,
% 22.65/23.05 (~trans(s199, s147)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24286, 20672, 20114])).
% 22.65/23.06 tff(24288,assumption,(~until2p29(s65)), introduced(assumption)).
% 22.65/23.06 tff(24289,assumption,(trans(s199, s65)), introduced(assumption)).
% 22.65/23.06 tff(24290,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24291,plain,
% 22.65/23.06 (((~trans(s199, s65)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s65)) <=> (until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24292,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65))))),
% 22.65/23.06 inference(monotonicity,[status(thm)],[24291])).
% 22.65/23.06 tff(24293,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65)))),
% 22.65/23.06 inference(transitivity,[status(thm)],[24292, 24290])).
% 22.65/23.06 tff(24294,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s65)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s65))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24295,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s65))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 22.65/23.06 tff(24296,plain,
% 22.65/23.06 ($false),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24295, 20124, 24289, 22062, 24288, 22063])).
% 22.65/23.06 tff(24297,plain,((~trans(s199, s65)) | until2p29(s65) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.06 tff(24298,plain,
% 22.65/23.06 (~trans(s199, s65)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24297, 21492, 20114])).
% 22.65/23.06 tff(24299,assumption,(~until2p29(s112)), introduced(assumption)).
% 22.65/23.06 tff(24300,assumption,(trans(s199, s112)), introduced(assumption)).
% 22.65/23.06 tff(24301,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24302,plain,
% 22.65/23.06 (((~trans(s199, s112)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s112)) <=> (until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24303,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112))))),
% 22.65/23.06 inference(monotonicity,[status(thm)],[24302])).
% 22.65/23.06 tff(24304,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112)))),
% 22.65/23.06 inference(transitivity,[status(thm)],[24303, 24301])).
% 22.65/23.06 tff(24305,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s112)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s112))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24306,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s112))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24305, 24304])).
% 22.65/23.06 tff(24307,plain,
% 22.65/23.06 ($false),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24306, 20124, 24300, 22062, 24299, 22063])).
% 22.65/23.06 tff(24308,plain,((~trans(s199, s112)) | until2p29(s112) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.06 tff(24309,plain,
% 22.65/23.06 (~trans(s199, s112)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24308, 21022, 20114])).
% 22.65/23.06 tff(24310,assumption,(~until2p29(s86)), introduced(assumption)).
% 22.65/23.06 tff(24311,assumption,(trans(s199, s86)), introduced(assumption)).
% 22.65/23.06 tff(24312,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24313,plain,
% 22.65/23.06 (((~trans(s199, s86)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s86)) <=> (until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24314,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86))))),
% 22.65/23.06 inference(monotonicity,[status(thm)],[24313])).
% 22.65/23.06 tff(24315,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86)))),
% 22.65/23.06 inference(transitivity,[status(thm)],[24314, 24312])).
% 22.65/23.06 tff(24316,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s86)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s86))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24317,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s86))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 22.65/23.06 tff(24318,plain,
% 22.65/23.06 ($false),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24317, 20124, 24311, 22062, 24310, 22063])).
% 22.65/23.06 tff(24319,plain,((~trans(s199, s86)) | until2p29(s86) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.06 tff(24320,plain,
% 22.65/23.06 (~trans(s199, s86)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24319, 21282, 20114])).
% 22.65/23.06 tff(24321,assumption,(~until2p29(s119)), introduced(assumption)).
% 22.65/23.06 tff(24322,assumption,(trans(s199, s119)), introduced(assumption)).
% 22.65/23.06 tff(24323,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24324,plain,
% 22.65/23.06 (((~trans(s199, s119)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s119)) <=> (until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24325,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119))))),
% 22.65/23.06 inference(monotonicity,[status(thm)],[24324])).
% 22.65/23.06 tff(24326,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119)))),
% 22.65/23.06 inference(transitivity,[status(thm)],[24325, 24323])).
% 22.65/23.06 tff(24327,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s119)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s119))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24328,plain,
% 22.65/23.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s119))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 22.65/23.06 tff(24329,plain,
% 22.65/23.06 ($false),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24328, 20124, 24322, 22062, 24321, 22063])).
% 22.65/23.06 tff(24330,plain,((~trans(s199, s119)) | until2p29(s119) | (~xuntil28(s199))), inference(lemma,lemma(discharge,[]))).
% 22.65/23.06 tff(24331,plain,
% 22.65/23.06 (~trans(s199, s119)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24330, 20952, 20114])).
% 22.65/23.06 tff(24332,assumption,(node18(s199, s198)), introduced(assumption)).
% 22.65/23.06 tff(24333,plain,
% 22.65/23.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24334,plain,
% 22.65/23.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24335,plain,
% 22.65/23.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24334, 24333])).
% 22.65/23.06 tff(24336,plain,
% 22.65/23.06 (~m_main_v_state2(s197, c_c2)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24335, 716, 15956])).
% 22.65/23.06 tff(24337,plain,
% 22.65/23.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24338,plain,
% 22.65/23.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24339,plain,
% 22.65/23.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 22.65/23.06 tff(24340,plain,
% 22.65/23.06 (~node3(s197)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24339, 184, 24336])).
% 22.65/23.06 tff(24341,plain,
% 22.65/23.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 22.65/23.06 inference(rewrite,[status(thm)],[])).
% 22.65/23.06 tff(24342,plain,
% 22.65/23.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 22.65/23.06 inference(quant_inst,[status(thm)],[])).
% 22.65/23.06 tff(24343,plain,
% 22.65/23.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196))),
% 22.65/23.06 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 22.65/23.06 tff(24344,plain,
% 22.65/23.06 (~node1(s196)),
% 22.65/23.06 inference(unit_resolution,[status(thm)],[24343, 249, 15913])).
% 22.65/23.06 tff(24345,plain,
% 22.65/23.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24346,plain,
% 22.65/23.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24347,plain,
% 22.65/23.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196)),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 22.65/23.07 tff(24348,plain,
% 22.65/23.07 (node18(s195, s196)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24347, 71, 15883])).
% 22.65/23.07 tff(24349,plain,
% 22.65/23.07 (((~![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(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))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24350,plain,
% 22.65/23.07 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24351,plain,
% 22.65/23.07 ((~![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(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2)),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 22.65/23.07 tff(24352,plain,
% 22.65/23.07 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_turn(s196, c_2)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24351, 625, 24348])).
% 22.65/23.07 tff(24353,plain,
% 22.65/23.07 (m_main_v_turn(s196, c_2)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24352, 15836, 15872])).
% 22.65/23.07 tff(24354,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24355,plain,
% 22.65/23.07 ((~![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)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24356,plain,
% 22.65/23.07 ((~![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))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 22.65/23.07 tff(24357,plain,
% 22.65/23.07 (~m_main_v_turn(s196, c_1)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24356, 322, 24353])).
% 22.65/23.07 tff(24358,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24359,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24360,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24359, 24358])).
% 22.65/23.07 tff(24361,plain,
% 22.65/23.07 (~node5(s196)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24360, 641, 24357])).
% 22.65/23.07 tff(24362,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24363,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24364,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 22.65/23.07 tff(24365,plain,
% 22.65/23.07 (~node2(s196)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24364, 652, 15913])).
% 22.65/23.07 tff(24366,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24367,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24368,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24367, 24366])).
% 22.65/23.07 tff(24369,plain,
% 22.65/23.07 (~node3(s196)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24368, 663, 15913])).
% 22.65/23.07 tff(24370,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24371,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24372,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24371, 24370])).
% 22.65/23.07 tff(24373,plain,
% 22.65/23.07 (~node4(s196)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24372, 162, 15933])).
% 22.65/23.07 tff(24374,plain,
% 22.65/23.07 (((~![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))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24375,plain,
% 22.65/23.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24376,plain,
% 22.65/23.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197)),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24375, 24374])).
% 22.65/23.07 tff(24377,plain,
% 22.65/23.07 (node7(s196, s197)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24376, 217, 15944])).
% 22.65/23.07 tff(24378,plain,
% 22.65/23.07 (((~![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(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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24379,plain,
% 22.65/23.07 ((~![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(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24380,plain,
% 22.65/23.07 ((~![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(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24379, 24378])).
% 22.65/23.07 tff(24381,plain,
% 22.65/23.07 (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24380, 745, 24377])).
% 22.65/23.07 tff(24382,plain,
% 22.65/23.07 (node6(s196, s197)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24381, 24373, 15921, 24369, 24365, 24361, 24344])).
% 22.65/23.07 tff(24383,plain,
% 22.65/23.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s196, c_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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24384,plain,
% 22.65/23.07 (((~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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24385,plain,
% 22.65/23.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_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))))),
% 22.65/23.07 inference(monotonicity,[status(thm)],[24384])).
% 22.65/23.07 tff(24386,plain,
% 22.65/23.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_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)))),
% 22.65/23.07 inference(transitivity,[status(thm)],[24385, 24383])).
% 22.65/23.07 tff(24387,plain,
% 22.65/23.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24388,plain,
% 22.65/23.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 22.65/23.07 tff(24389,plain,
% 22.65/23.07 (~m_main_v_state1(s197, c_n1)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24388, 936, 15913, 24382])).
% 22.65/23.07 tff(24390,plain,
% 22.65/23.07 (((~![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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24391,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 22.65/23.07 inference(quant_inst,[status(thm)],[])).
% 22.65/23.07 tff(24392,plain,
% 22.65/23.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197))),
% 22.65/23.07 inference(modus_ponens,[status(thm)],[24391, 24390])).
% 22.65/23.07 tff(24393,plain,
% 22.65/23.07 (~node2(s197)),
% 22.65/23.07 inference(unit_resolution,[status(thm)],[24392, 652, 24389])).
% 22.65/23.07 tff(24394,plain,
% 22.65/23.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))) <=> ((~![V: $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)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24395,plain,
% 22.65/23.07 (((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1)) <=> ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 22.65/23.07 inference(rewrite,[status(thm)],[])).
% 22.65/23.07 tff(24396,plain,
% 22.65/23.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))))),
% 22.65/23.07 inference(monotonicity,[status(thm)],[24395])).
% 22.65/23.08 tff(24397,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(transitivity,[status(thm)],[24396, 24394])).
% 22.65/23.08 tff(24398,plain,
% 22.65/23.08 ((~![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))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24399,plain,
% 22.65/23.08 ((~![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(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 22.65/23.08 tff(24400,plain,
% 22.65/23.08 (m_main_v_state1(s197, c_t1)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24399, 760, 15909, 24382])).
% 22.65/23.08 tff(24401,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24402,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24403,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 22.65/23.08 tff(24404,plain,
% 22.65/23.08 (~node1(s197)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24403, 206, 15960])).
% 22.65/23.08 tff(24405,plain,
% 22.65/23.08 (((~![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))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24406,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24407,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 22.65/23.08 tff(24408,plain,
% 22.65/23.08 (trans(s197, s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24407, 20087, 57])).
% 22.65/23.08 tff(24409,plain,
% 22.65/23.08 (((~![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))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24410,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24411,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198)),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24410, 24409])).
% 22.65/23.08 tff(24412,plain,
% 22.65/23.08 (node7(s197, s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24411, 217, 24408])).
% 22.65/23.08 tff(24413,plain,
% 22.65/23.08 (((~![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(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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24414,plain,
% 22.65/23.08 (((~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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24415,plain,
% 22.65/23.08 (((~![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(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))))),
% 22.65/23.08 inference(monotonicity,[status(thm)],[24414])).
% 22.65/23.08 tff(24416,plain,
% 22.65/23.08 (((~![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(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)))),
% 22.65/23.08 inference(transitivity,[status(thm)],[24415, 24413])).
% 22.65/23.08 tff(24417,plain,
% 22.65/23.08 ((~![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(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))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24418,plain,
% 22.65/23.08 ((~![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(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))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24417, 24416])).
% 22.65/23.08 tff(24419,plain,
% 22.65/23.08 ((~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)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24418, 965, 24412])).
% 22.65/23.08 tff(24420,plain,
% 22.65/23.08 (m_main_v_state1(s198, c_c1)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24419, 24404, 15956, 24400, 24393, 24340])).
% 22.65/23.08 tff(24421,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24422,plain,
% 22.65/23.08 ((~![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)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24423,plain,
% 22.65/23.08 ((~![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))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 22.65/23.08 tff(24424,plain,
% 22.65/23.08 (~m_main_v_state1(s198, c_t1)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24423, 289, 24420])).
% 22.65/23.08 tff(24425,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24426,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24427,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 22.65/23.08 tff(24428,plain,
% 22.65/23.08 (~node5(s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24427, 300, 24424])).
% 22.65/23.08 tff(24429,plain,
% 22.65/23.08 (((~![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))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24430,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24431,plain,
% 22.65/23.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198)),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 22.65/23.08 tff(24432,plain,
% 22.65/23.08 (node14(s197, s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24431, 130, 24408])).
% 22.65/23.08 tff(24433,plain,
% 22.65/23.08 (((~![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(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))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24434,plain,
% 22.65/23.08 ((~![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(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24435,plain,
% 22.65/23.08 ((~![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(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2)),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24434, 24433])).
% 22.65/23.08 tff(24436,plain,
% 22.65/23.08 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state2(s198, c_t2)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24435, 893, 24432])).
% 22.65/23.08 tff(24437,plain,
% 22.65/23.08 (m_main_v_state2(s198, c_t2)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24436, 24400, 15956])).
% 22.65/23.08 tff(24438,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24439,plain,
% 22.65/23.08 ((~![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)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24440,plain,
% 22.65/23.08 ((~![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))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 22.65/23.08 tff(24441,plain,
% 22.65/23.08 (~m_main_v_state2(s198, c_n2)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24440, 10, 24437])).
% 22.65/23.08 tff(24442,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24443,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24444,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24443, 24442])).
% 22.65/23.08 tff(24445,plain,
% 22.65/23.08 (~node2(s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24444, 195, 24441])).
% 22.65/23.08 tff(24446,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24447,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24448,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 22.65/23.08 tff(24449,plain,
% 22.65/23.08 (~node4(s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24448, 162, 24441])).
% 22.65/23.08 tff(24450,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24451,plain,
% 22.65/23.08 ((~![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)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24452,plain,
% 22.65/23.08 ((~![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))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24451, 24450])).
% 22.65/23.08 tff(24453,plain,
% 22.65/23.08 (~m_main_v_state2(s198, c_c2)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24452, 173, 24437])).
% 22.65/23.08 tff(24454,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24455,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24456,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 22.65/23.08 tff(24457,plain,
% 22.65/23.08 (~node3(s198)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24456, 184, 24453])).
% 22.65/23.08 tff(24458,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24459,plain,
% 22.65/23.08 ((~![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)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24460,plain,
% 22.65/23.08 ((~![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))),
% 22.65/23.08 inference(modus_ponens,[status(thm)],[24459, 24458])).
% 22.65/23.08 tff(24461,plain,
% 22.65/23.08 (~m_main_v_state1(s198, c_n1)),
% 22.65/23.08 inference(unit_resolution,[status(thm)],[24460, 449, 24420])).
% 22.65/23.08 tff(24462,plain,
% 22.65/23.08 (((~![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)))),
% 22.65/23.08 inference(rewrite,[status(thm)],[])).
% 22.65/23.08 tff(24463,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 22.65/23.08 inference(quant_inst,[status(thm)],[])).
% 22.65/23.08 tff(24464,plain,
% 22.65/23.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24463, 24462])).
% 22.65/23.09 tff(24465,plain,
% 22.65/23.09 (~node1(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24464, 249, 24461])).
% 22.65/23.09 tff(24466,plain,
% 22.65/23.09 (((~![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))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24467,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24468,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 22.65/23.09 tff(24469,plain,
% 22.65/23.09 (node7(s198, s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24468, 217, 6136])).
% 22.65/23.09 tff(24470,plain,
% 22.65/23.09 (((~![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(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(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24471,plain,
% 22.65/23.09 ((~![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(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24472,plain,
% 22.65/23.09 ((~![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(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24471, 24470])).
% 22.65/23.09 tff(24473,plain,
% 22.65/23.09 ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | m_main_v_state1(s199, c_n1)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24472, 478, 24469])).
% 22.65/23.09 tff(24474,plain,
% 22.65/23.09 (m_main_v_state1(s199, c_n1)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24473, 24465, 24420, 24457, 24449, 24445, 24428])).
% 22.65/23.09 tff(24475,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24476,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24477,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24476, 24475])).
% 22.65/23.09 tff(24478,plain,
% 22.65/23.09 (~node15(s197)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24477, 21, 15960])).
% 22.65/23.09 tff(24479,plain,
% 22.65/23.09 (((~![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))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24480,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24481,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24480, 24479])).
% 22.65/23.09 tff(24482,plain,
% 22.65/23.09 (node18(s197, s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24481, 71, 24408])).
% 22.65/23.09 tff(24483,plain,
% 22.65/23.09 (((~![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(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))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24484,plain,
% 22.65/23.09 (((~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))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24485,plain,
% 22.65/23.09 (((~![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(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)))),
% 22.65/23.09 inference(monotonicity,[status(thm)],[24484])).
% 22.65/23.09 tff(24486,plain,
% 22.65/23.09 (((~![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(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))),
% 22.65/23.09 inference(transitivity,[status(thm)],[24485, 24483])).
% 22.65/23.09 tff(24487,plain,
% 22.65/23.09 ((~![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(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24488,plain,
% 22.65/23.09 ((~![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(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)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 22.65/23.09 tff(24489,plain,
% 22.65/23.09 (node15(s197) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24488, 863, 24482])).
% 22.65/23.09 tff(24490,plain,
% 22.65/23.09 (m_main_v_turn(s198, c_1)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24489, 24478, 15956, 24400])).
% 22.65/23.09 tff(24491,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24492,plain,
% 22.65/23.09 ((~![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)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24493,plain,
% 22.65/23.09 ((~![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))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 22.65/23.09 tff(24494,plain,
% 22.65/23.09 (~m_main_v_turn(s198, c_2)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24493, 322, 24490])).
% 22.65/23.09 tff(24495,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24496,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24497,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24496, 24495])).
% 22.65/23.09 tff(24498,plain,
% 22.65/23.09 (~node12(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24497, 350, 24494])).
% 22.65/23.09 tff(24499,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24500,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24501,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24500, 24499])).
% 22.65/23.09 tff(24502,plain,
% 22.65/23.09 (~node8(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24501, 383, 24441])).
% 22.65/23.09 tff(24503,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24504,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24505,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24504, 24503])).
% 22.65/23.09 tff(24506,plain,
% 22.65/23.09 (~node9(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24505, 311, 24441])).
% 22.65/23.09 tff(24507,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24508,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24509,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24508, 24507])).
% 22.65/23.09 tff(24510,plain,
% 22.65/23.09 (~node10(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24509, 372, 24441])).
% 22.65/23.09 tff(24511,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24512,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24513,plain,
% 22.65/23.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24512, 24511])).
% 22.65/23.09 tff(24514,plain,
% 22.65/23.09 (~node11(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24513, 361, 24461])).
% 22.65/23.09 tff(24515,plain,
% 22.65/23.09 (((~![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))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24516,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24517,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24516, 24515])).
% 22.65/23.09 tff(24518,plain,
% 22.65/23.09 (node14(s198, s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24517, 130, 6136])).
% 22.65/23.09 tff(24519,plain,
% 22.65/23.09 (((~![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(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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24520,plain,
% 22.65/23.09 ((~![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(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24521,plain,
% 22.65/23.09 ((~![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(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24520, 24519])).
% 22.65/23.09 tff(24522,plain,
% 22.65/23.09 (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24521, 401, 24518])).
% 22.65/23.09 tff(24523,plain,
% 22.65/23.09 (node13(s198, s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24522, 24514, 24453, 24510, 24506, 24502, 24498])).
% 22.65/23.09 tff(24524,plain,
% 22.65/23.09 (((~![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(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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24525,plain,
% 22.65/23.09 (((~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)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24526,plain,
% 22.65/23.09 (((~![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))))),
% 22.65/23.09 inference(monotonicity,[status(thm)],[24525])).
% 22.65/23.09 tff(24527,plain,
% 22.65/23.09 (((~![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)))),
% 22.65/23.09 inference(transitivity,[status(thm)],[24526, 24524])).
% 22.65/23.09 tff(24528,plain,
% 22.65/23.09 ((~![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))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24529,plain,
% 22.65/23.09 ((~![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(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 22.65/23.09 tff(24530,plain,
% 22.65/23.09 (m_main_v_state2(s199, c_t2)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24529, 563, 24437, 24523])).
% 22.65/23.09 tff(24531,plain,
% 22.65/23.09 (((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s198)) | m_main_v_turn(s198, 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, s198)) | m_main_v_turn(s198, c_2))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24532,plain,
% 22.65/23.09 ((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s198)) | m_main_v_turn(s198, c_2))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24533,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s198)) | m_main_v_turn(s198, c_2)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 22.65/23.09 tff(24534,plain,
% 22.65/23.09 ($false),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24533, 625, 24494, 24530, 24474, 24332])).
% 22.65/23.09 tff(24535,plain,(~node18(s199, s198)), inference(lemma,lemma(discharge,[]))).
% 22.65/23.09 tff(24536,plain,
% 22.65/23.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s198)) | node18(s199, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s198)) | node18(s199, s198))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24537,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s198)) | node18(s199, s198))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24538,plain,
% 22.65/23.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s198)) | node18(s199, s198)),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 22.65/23.09 tff(24539,plain,
% 22.65/23.09 (~trans(s199, s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24538, 71, 24535])).
% 22.65/23.09 tff(24540,assumption,(~loop), introduced(assumption)).
% 22.65/23.09 tff(24541,plain,
% 22.65/23.09 (^[X: $i] : refl((loop | (~always25(X)) | (~last(X))) <=> (loop | (~always25(X)) | (~last(X))))),
% 22.65/23.09 inference(bind,[status(th)],[])).
% 22.65/23.09 tff(24542,plain,
% 22.65/23.09 (![X: $i] : (loop | (~always25(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(quant_intro,[status(thm)],[24541])).
% 22.65/23.09 tff(24543,plain,
% 22.65/23.09 (![X: $i] : (loop | (~always25(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24544,plain,
% 22.65/23.09 (^[X: $i] : rewrite(((loop | (~always25(X))) | (~last(X))) <=> (loop | (~always25(X)) | (~last(X))))),
% 22.65/23.09 inference(bind,[status(th)],[])).
% 22.65/23.09 tff(24545,plain,
% 22.65/23.09 (![X: $i] : ((loop | (~always25(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(quant_intro,[status(thm)],[24544])).
% 22.65/23.09 tff(24546,axiom,(![X: $i] : ((loop | (~always25(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty16')).
% 22.65/23.09 tff(24547,plain,
% 22.65/23.09 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 22.65/23.09 tff(24548,plain,
% 22.65/23.09 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24547, 24543])).
% 22.65/23.09 tff(24549,plain,(
% 22.65/23.09 ![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(skolemize,[status(sab)],[24548])).
% 22.65/23.09 tff(24550,plain,
% 22.65/23.09 (![X: $i] : (loop | (~always25(X)) | (~last(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24549, 24542])).
% 22.65/23.09 tff(24551,plain,
% 22.65/23.09 (((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | (loop | (~always25(s199)) | (~last(s199)))) <=> ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | loop | (~always25(s199)) | (~last(s199)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24552,plain,
% 22.65/23.09 ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | (loop | (~always25(s199)) | (~last(s199)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24553,plain,
% 22.65/23.09 ((~![X: $i] : (loop | (~always25(X)) | (~last(X)))) | loop | (~always25(s199)) | (~last(s199))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24552, 24551])).
% 22.65/23.09 tff(24554,plain,
% 22.65/23.09 (loop | (~always25(s199))),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24553, 20124, 24550])).
% 22.65/23.09 tff(24555,plain,
% 22.65/23.09 (~always25(s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24554, 24540])).
% 22.65/23.09 tff(24556,plain,
% 22.65/23.09 (~node26(s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[6125, 6122, 24555])).
% 22.65/23.09 tff(24557,plain,
% 22.65/23.09 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 22.65/23.09 inference(bind,[status(th)],[])).
% 22.65/23.09 tff(24558,plain,
% 22.65/23.09 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(quant_intro,[status(thm)],[24557])).
% 22.65/23.09 tff(24559,plain,
% 22.65/23.09 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24560,plain,
% 22.65/23.09 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 22.65/23.09 inference(bind,[status(th)],[])).
% 22.65/23.09 tff(24561,plain,
% 22.65/23.09 (![X: $i] : ((loop | (~last(X))) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(quant_intro,[status(thm)],[24560])).
% 22.65/23.09 tff(24562,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty21')).
% 22.65/23.09 tff(24563,plain,
% 22.65/23.09 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24562, 24561])).
% 22.65/23.09 tff(24564,plain,
% 22.65/23.09 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24563, 24559])).
% 22.65/23.09 tff(24565,plain,(
% 22.65/23.09 ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(skolemize,[status(sab)],[24564])).
% 22.65/23.09 tff(24566,plain,
% 22.65/23.09 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24565, 24558])).
% 22.65/23.09 tff(24567,plain,
% 22.65/23.09 (((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s199)) | (~xuntil28(s199)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s199)) | (~xuntil28(s199)))),
% 22.65/23.09 inference(rewrite,[status(thm)],[])).
% 22.65/23.09 tff(24568,plain,
% 22.65/23.09 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s199)) | (~xuntil28(s199)))),
% 22.65/23.09 inference(quant_inst,[status(thm)],[])).
% 22.65/23.09 tff(24569,plain,
% 22.65/23.09 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s199)) | (~xuntil28(s199))),
% 22.65/23.09 inference(modus_ponens,[status(thm)],[24568, 24567])).
% 22.65/23.09 tff(24570,plain,
% 22.65/23.09 (loop | (~xuntil28(s199))),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24569, 20124, 24566])).
% 22.65/23.09 tff(24571,plain,
% 22.65/23.09 (~xuntil28(s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[24570, 24540])).
% 22.65/23.09 tff(24572,plain,
% 22.65/23.09 (~until27(s199)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[20111, 17403, 24571, 24556])).
% 22.65/23.09 tff(24573,plain,
% 22.65/23.09 (~always25(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[6153, 24555])).
% 22.65/23.09 tff(24574,plain,
% 22.65/23.09 (~node26(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[6157, 6122, 24573])).
% 22.65/23.09 tff(24575,plain,
% 22.65/23.09 (xuntil28(s198)),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[20099, 24574])).
% 22.65/23.09 tff(24576,plain,
% 22.65/23.09 ($false),
% 22.65/23.09 inference(unit_resolution,[status(thm)],[20104, 24575, 24572])).
% 22.65/23.09 tff(24577,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 22.65/23.09 tff(24578,plain,
% 22.65/23.09 (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 22.65/23.10 inference(rewrite,[status(thm)],[])).
% 22.65/23.10 tff(24579,plain,
% 22.65/23.10 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198)) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 22.72/23.11 inference(rewrite,[status(thm)],[])).
% 22.72/23.11 tff(24580,plain,
% 22.72/23.11 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197)) | trans(s199, s198)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198))),
% 22.72/23.11 inference(rewrite,[status(thm)],[])).
% 22.72/23.11 tff(24581,plain,
% 22.72/23.11 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196)) | trans(s199, s197)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197))),
% 22.72/23.12 inference(rewrite,[status(thm)],[])).
% 22.72/23.12 tff(24582,plain,
% 22.72/23.12 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195)) | trans(s199, s196)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196))),
% 22.72/23.12 inference(rewrite,[status(thm)],[])).
% 22.72/23.12 tff(24583,plain,
% 22.72/23.12 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194)) | trans(s199, s195)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195))),
% 22.72/23.13 inference(rewrite,[status(thm)],[])).
% 22.72/23.13 tff(24584,plain,
% 22.72/23.13 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193)) | trans(s199, s194)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194))),
% 22.72/23.14 inference(rewrite,[status(thm)],[])).
% 22.72/23.14 tff(24585,plain,
% 22.72/23.14 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192)) | trans(s199, s193)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193))),
% 22.72/23.14 inference(rewrite,[status(thm)],[])).
% 22.72/23.14 tff(24586,plain,
% 22.72/23.14 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191)) | trans(s199, s192)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192))),
% 22.72/23.14 inference(rewrite,[status(thm)],[])).
% 22.72/23.14 tff(24587,plain,
% 22.72/23.14 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190)) | trans(s199, s191)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191))),
% 22.72/23.15 inference(rewrite,[status(thm)],[])).
% 22.72/23.15 tff(24588,plain,
% 22.72/23.15 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189)) | trans(s199, s190)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190))),
% 22.72/23.16 inference(rewrite,[status(thm)],[])).
% 22.72/23.16 tff(24589,plain,
% 22.72/23.16 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188)) | trans(s199, s189)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189))),
% 22.72/23.16 inference(rewrite,[status(thm)],[])).
% 22.72/23.16 tff(24590,plain,
% 22.72/23.16 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187)) | trans(s199, s188)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188))),
% 22.78/23.17 inference(rewrite,[status(thm)],[])).
% 22.78/23.17 tff(24591,plain,
% 22.78/23.17 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186)) | trans(s199, s187)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187))),
% 22.78/23.18 inference(rewrite,[status(thm)],[])).
% 22.78/23.18 tff(24592,plain,
% 22.78/23.18 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185)) | trans(s199, s186)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186))),
% 22.78/23.18 inference(rewrite,[status(thm)],[])).
% 22.78/23.18 tff(24593,plain,
% 22.78/23.18 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184)) | trans(s199, s185)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185))),
% 22.78/23.18 inference(rewrite,[status(thm)],[])).
% 22.78/23.18 tff(24594,plain,
% 22.78/23.18 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183)) | trans(s199, s184)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184))),
% 22.78/23.19 inference(rewrite,[status(thm)],[])).
% 22.78/23.19 tff(24595,plain,
% 22.78/23.19 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182)) | trans(s199, s183)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183))),
% 22.78/23.20 inference(rewrite,[status(thm)],[])).
% 22.78/23.20 tff(24596,plain,
% 22.78/23.20 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181)) | trans(s199, s182)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182))),
% 22.78/23.20 inference(rewrite,[status(thm)],[])).
% 22.78/23.20 tff(24597,plain,
% 22.78/23.20 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180)) | trans(s199, s181)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181))),
% 22.78/23.21 inference(rewrite,[status(thm)],[])).
% 22.78/23.21 tff(24598,plain,
% 22.78/23.21 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179)) | trans(s199, s180)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180))),
% 22.78/23.21 inference(rewrite,[status(thm)],[])).
% 22.78/23.21 tff(24599,plain,
% 22.78/23.21 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178)) | trans(s199, s179)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179))),
% 22.78/23.22 inference(rewrite,[status(thm)],[])).
% 22.78/23.22 tff(24600,plain,
% 22.78/23.22 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177)) | trans(s199, s178)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178))),
% 22.78/23.22 inference(rewrite,[status(thm)],[])).
% 22.78/23.22 tff(24601,plain,
% 22.78/23.22 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176)) | trans(s199, s177)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177))),
% 22.78/23.23 inference(rewrite,[status(thm)],[])).
% 22.78/23.23 tff(24602,plain,
% 22.78/23.23 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175)) | trans(s199, s176)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176))),
% 22.78/23.23 inference(rewrite,[status(thm)],[])).
% 22.78/23.23 tff(24603,plain,
% 22.78/23.23 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174)) | trans(s199, s175)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175))),
% 22.78/23.24 inference(rewrite,[status(thm)],[])).
% 22.78/23.24 tff(24604,plain,
% 22.78/23.24 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173)) | trans(s199, s174)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174))),
% 22.78/23.24 inference(rewrite,[status(thm)],[])).
% 22.78/23.24 tff(24605,plain,
% 22.78/23.24 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172)) | trans(s199, s173)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173))),
% 22.78/23.25 inference(rewrite,[status(thm)],[])).
% 22.78/23.25 tff(24606,plain,
% 22.78/23.25 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171)) | trans(s199, s172)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172))),
% 22.78/23.25 inference(rewrite,[status(thm)],[])).
% 22.78/23.25 tff(24607,plain,
% 22.78/23.25 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170)) | trans(s199, s171)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171))),
% 22.78/23.26 inference(rewrite,[status(thm)],[])).
% 22.78/23.26 tff(24608,plain,
% 22.78/23.26 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169)) | trans(s199, s170)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170))),
% 22.88/23.26 inference(rewrite,[status(thm)],[])).
% 22.88/23.26 tff(24609,plain,
% 22.88/23.26 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168)) | trans(s199, s169)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169))),
% 22.88/23.27 inference(rewrite,[status(thm)],[])).
% 22.88/23.27 tff(24610,plain,
% 22.88/23.27 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167)) | trans(s199, s168)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168))),
% 22.88/23.27 inference(rewrite,[status(thm)],[])).
% 22.88/23.27 tff(24611,plain,
% 22.88/23.27 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166)) | trans(s199, s167)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167))),
% 22.88/23.28 inference(rewrite,[status(thm)],[])).
% 22.88/23.28 tff(24612,plain,
% 22.88/23.28 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165)) | trans(s199, s166)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166))),
% 22.88/23.28 inference(rewrite,[status(thm)],[])).
% 22.88/23.28 tff(24613,plain,
% 22.88/23.28 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164)) | trans(s199, s165)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165))),
% 22.88/23.29 inference(rewrite,[status(thm)],[])).
% 22.88/23.29 tff(24614,plain,
% 22.88/23.29 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163)) | trans(s199, s164)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164))),
% 22.91/23.29 inference(rewrite,[status(thm)],[])).
% 22.91/23.29 tff(24615,plain,
% 22.91/23.29 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162)) | trans(s199, s163)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163))),
% 22.91/23.30 inference(rewrite,[status(thm)],[])).
% 22.91/23.30 tff(24616,plain,
% 22.91/23.30 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161)) | trans(s199, s162)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162))),
% 22.91/23.30 inference(rewrite,[status(thm)],[])).
% 22.91/23.30 tff(24617,plain,
% 22.91/23.30 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160)) | trans(s199, s161)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161))),
% 22.91/23.31 inference(rewrite,[status(thm)],[])).
% 22.91/23.31 tff(24618,plain,
% 22.91/23.31 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159)) | trans(s199, s160)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160))),
% 22.91/23.31 inference(rewrite,[status(thm)],[])).
% 22.91/23.31 tff(24619,plain,
% 22.91/23.31 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158)) | trans(s199, s159)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159))),
% 22.91/23.31 inference(rewrite,[status(thm)],[])).
% 22.91/23.31 tff(24620,plain,
% 22.91/23.31 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157)) | trans(s199, s158)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158))),
% 22.91/23.32 inference(rewrite,[status(thm)],[])).
% 22.91/23.32 tff(24621,plain,
% 22.91/23.32 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156)) | trans(s199, s157)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157))),
% 22.91/23.32 inference(rewrite,[status(thm)],[])).
% 22.91/23.32 tff(24622,plain,
% 22.91/23.32 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155)) | trans(s199, s156)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156))),
% 22.94/23.33 inference(rewrite,[status(thm)],[])).
% 22.94/23.33 tff(24623,plain,
% 22.94/23.33 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154)) | trans(s199, s155)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155))),
% 22.94/23.33 inference(rewrite,[status(thm)],[])).
% 22.94/23.33 tff(24624,plain,
% 22.94/23.33 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153)) | trans(s199, s154)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154))),
% 22.95/23.34 inference(rewrite,[status(thm)],[])).
% 22.95/23.34 tff(24625,plain,
% 22.95/23.34 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152)) | trans(s199, s153)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153))),
% 22.95/23.34 inference(rewrite,[status(thm)],[])).
% 22.95/23.34 tff(24626,plain,
% 22.95/23.34 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151)) | trans(s199, s152)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152))),
% 22.95/23.35 inference(rewrite,[status(thm)],[])).
% 22.95/23.35 tff(24627,plain,
% 22.95/23.35 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150)) | trans(s199, s151)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151))),
% 22.95/23.35 inference(rewrite,[status(thm)],[])).
% 22.95/23.35 tff(24628,plain,
% 22.95/23.35 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149)) | trans(s199, s150)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150))),
% 22.95/23.35 inference(rewrite,[status(thm)],[])).
% 22.95/23.35 tff(24629,plain,
% 22.95/23.35 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148)) | trans(s199, s149)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149))),
% 22.95/23.36 inference(rewrite,[status(thm)],[])).
% 22.95/23.36 tff(24630,plain,
% 22.95/23.36 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147)) | trans(s199, s148)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148))),
% 22.95/23.36 inference(rewrite,[status(thm)],[])).
% 22.95/23.36 tff(24631,plain,
% 22.95/23.36 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146)) | trans(s199, s147)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147))),
% 22.95/23.37 inference(rewrite,[status(thm)],[])).
% 22.95/23.37 tff(24632,plain,
% 22.95/23.37 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145)) | trans(s199, s146)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146))),
% 22.95/23.37 inference(rewrite,[status(thm)],[])).
% 22.95/23.37 tff(24633,plain,
% 22.95/23.37 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144)) | trans(s199, s145)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145))),
% 22.95/23.38 inference(rewrite,[status(thm)],[])).
% 22.95/23.38 tff(24634,plain,
% 22.95/23.38 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143)) | trans(s199, s144)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144))),
% 22.95/23.38 inference(rewrite,[status(thm)],[])).
% 22.95/23.38 tff(24635,plain,
% 22.95/23.38 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142)) | trans(s199, s143)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143))),
% 22.95/23.38 inference(rewrite,[status(thm)],[])).
% 22.95/23.38 tff(24636,plain,
% 22.95/23.38 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141)) | trans(s199, s142)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142))),
% 22.95/23.39 inference(rewrite,[status(thm)],[])).
% 22.95/23.39 tff(24637,plain,
% 22.95/23.39 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140)) | trans(s199, s141)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141))),
% 22.95/23.39 inference(rewrite,[status(thm)],[])).
% 22.95/23.39 tff(24638,plain,
% 22.95/23.39 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139)) | trans(s199, s140)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140))),
% 22.95/23.40 inference(rewrite,[status(thm)],[])).
% 22.95/23.40 tff(24639,plain,
% 22.95/23.40 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138)) | trans(s199, s139)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139))),
% 23.02/23.40 inference(rewrite,[status(thm)],[])).
% 23.02/23.40 tff(24640,plain,
% 23.02/23.40 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137)) | trans(s199, s138)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138))),
% 23.02/23.41 inference(rewrite,[status(thm)],[])).
% 23.02/23.41 tff(24641,plain,
% 23.02/23.41 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136)) | trans(s199, s137)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137))),
% 23.02/23.41 inference(rewrite,[status(thm)],[])).
% 23.02/23.41 tff(24642,plain,
% 23.02/23.41 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135)) | trans(s199, s136)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136))),
% 23.02/23.42 inference(rewrite,[status(thm)],[])).
% 23.02/23.42 tff(24643,plain,
% 23.02/23.42 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134)) | trans(s199, s135)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135))),
% 23.02/23.42 inference(rewrite,[status(thm)],[])).
% 23.02/23.42 tff(24644,plain,
% 23.02/23.42 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133)) | trans(s199, s134)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134))),
% 23.02/23.42 inference(rewrite,[status(thm)],[])).
% 23.02/23.42 tff(24645,plain,
% 23.02/23.42 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132)) | trans(s199, s133)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133))),
% 23.02/23.43 inference(rewrite,[status(thm)],[])).
% 23.02/23.43 tff(24646,plain,
% 23.02/23.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131)) | trans(s199, s132)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132))),
% 23.02/23.43 inference(rewrite,[status(thm)],[])).
% 23.02/23.43 tff(24647,plain,
% 23.02/23.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130)) | trans(s199, s131)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131))),
% 23.02/23.43 inference(rewrite,[status(thm)],[])).
% 23.02/23.43 tff(24648,plain,
% 23.02/23.43 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129)) | trans(s199, s130)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130))),
% 23.02/23.44 inference(rewrite,[status(thm)],[])).
% 23.02/23.44 tff(24649,plain,
% 23.02/23.44 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128)) | trans(s199, s129)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129))),
% 23.02/23.44 inference(rewrite,[status(thm)],[])).
% 23.02/23.44 tff(24650,plain,
% 23.02/23.44 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127)) | trans(s199, s128)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128))),
% 23.02/23.45 inference(rewrite,[status(thm)],[])).
% 23.02/23.45 tff(24651,plain,
% 23.02/23.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126)) | trans(s199, s127)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127))),
% 23.02/23.45 inference(rewrite,[status(thm)],[])).
% 23.02/23.45 tff(24652,plain,
% 23.02/23.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125)) | trans(s199, s126)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126))),
% 23.02/23.45 inference(rewrite,[status(thm)],[])).
% 23.02/23.45 tff(24653,plain,
% 23.02/23.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124)) | trans(s199, s125)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125))),
% 23.02/23.45 inference(rewrite,[status(thm)],[])).
% 23.02/23.45 tff(24654,plain,
% 23.02/23.45 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123)) | trans(s199, s124)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124))),
% 23.02/23.46 inference(rewrite,[status(thm)],[])).
% 23.02/23.46 tff(24655,plain,
% 23.02/23.46 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122)) | trans(s199, s123)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123))),
% 23.02/23.46 inference(rewrite,[status(thm)],[])).
% 23.02/23.46 tff(24656,plain,
% 23.02/23.46 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121)) | trans(s199, s122)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122))),
% 23.02/23.47 inference(rewrite,[status(thm)],[])).
% 23.02/23.47 tff(24657,plain,
% 23.02/23.47 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120)) | trans(s199, s121)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121))),
% 23.02/23.47 inference(rewrite,[status(thm)],[])).
% 23.02/23.47 tff(24658,plain,
% 23.02/23.47 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119)) | trans(s199, s120)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120))),
% 23.02/23.47 inference(rewrite,[status(thm)],[])).
% 23.02/23.47 tff(24659,plain,
% 23.02/23.47 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118)) | trans(s199, s119)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119))),
% 23.02/23.48 inference(rewrite,[status(thm)],[])).
% 23.02/23.48 tff(24660,plain,
% 23.02/23.48 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117)) | trans(s199, s118)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118))),
% 23.02/23.48 inference(rewrite,[status(thm)],[])).
% 23.02/23.48 tff(24661,plain,
% 23.02/23.48 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116)) | trans(s199, s117)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117))),
% 23.09/23.49 inference(rewrite,[status(thm)],[])).
% 23.09/23.49 tff(24662,plain,
% 23.09/23.49 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115)) | trans(s199, s116)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116))),
% 23.09/23.49 inference(rewrite,[status(thm)],[])).
% 23.09/23.49 tff(24663,plain,
% 23.09/23.49 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114)) | trans(s199, s115)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115))),
% 23.09/23.49 inference(rewrite,[status(thm)],[])).
% 23.09/23.49 tff(24664,plain,
% 23.09/23.49 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113)) | trans(s199, s114)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114))),
% 23.09/23.50 inference(rewrite,[status(thm)],[])).
% 23.09/23.50 tff(24665,plain,
% 23.09/23.50 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112)) | trans(s199, s113)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113))),
% 23.09/23.50 inference(rewrite,[status(thm)],[])).
% 23.09/23.50 tff(24666,plain,
% 23.09/23.50 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111)) | trans(s199, s112)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112))),
% 23.09/23.50 inference(rewrite,[status(thm)],[])).
% 23.09/23.50 tff(24667,plain,
% 23.09/23.50 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110)) | trans(s199, s111)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111))),
% 23.09/23.50 inference(rewrite,[status(thm)],[])).
% 23.09/23.50 tff(24668,plain,
% 23.09/23.50 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109)) | trans(s199, s110)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110))),
% 23.09/23.51 inference(rewrite,[status(thm)],[])).
% 23.09/23.51 tff(24669,plain,
% 23.09/23.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108)) | trans(s199, s109)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109))),
% 23.09/23.51 inference(rewrite,[status(thm)],[])).
% 23.09/23.51 tff(24670,plain,
% 23.09/23.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107)) | trans(s199, s108)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108))),
% 23.09/23.51 inference(rewrite,[status(thm)],[])).
% 23.09/23.51 tff(24671,plain,
% 23.09/23.51 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106)) | trans(s199, s107)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107))),
% 23.09/23.52 inference(rewrite,[status(thm)],[])).
% 23.09/23.52 tff(24672,plain,
% 23.09/23.52 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105)) | trans(s199, s106)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106))),
% 23.09/23.52 inference(rewrite,[status(thm)],[])).
% 23.09/23.52 tff(24673,plain,
% 23.09/23.52 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104)) | trans(s199, s105)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105))),
% 23.09/23.52 inference(rewrite,[status(thm)],[])).
% 23.09/23.52 tff(24674,plain,
% 23.09/23.52 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103)) | trans(s199, s104)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104))),
% 23.09/23.53 inference(rewrite,[status(thm)],[])).
% 23.09/23.53 tff(24675,plain,
% 23.09/23.53 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102)) | trans(s199, s103)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103))),
% 23.09/23.53 inference(rewrite,[status(thm)],[])).
% 23.09/23.53 tff(24676,plain,
% 23.09/23.53 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101)) | trans(s199, s102)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102))),
% 23.09/23.53 inference(rewrite,[status(thm)],[])).
% 23.09/23.53 tff(24677,plain,
% 23.09/23.53 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100)) | trans(s199, s101)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101))),
% 23.09/23.54 inference(rewrite,[status(thm)],[])).
% 23.09/23.54 tff(24678,plain,
% 23.09/23.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99)) | trans(s199, s100)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100))),
% 23.09/23.54 inference(rewrite,[status(thm)],[])).
% 23.09/23.54 tff(24679,plain,
% 23.09/23.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98)) | trans(s199, s99)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99))),
% 23.09/23.54 inference(rewrite,[status(thm)],[])).
% 23.09/23.54 tff(24680,plain,
% 23.09/23.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97)) | trans(s199, s98)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98))),
% 23.09/23.54 inference(rewrite,[status(thm)],[])).
% 23.09/23.54 tff(24681,plain,
% 23.09/23.54 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96)) | trans(s199, s97)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97))),
% 23.09/23.55 inference(rewrite,[status(thm)],[])).
% 23.09/23.55 tff(24682,plain,
% 23.09/23.55 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95)) | trans(s199, s96)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96))),
% 23.09/23.55 inference(rewrite,[status(thm)],[])).
% 23.09/23.55 tff(24683,plain,
% 23.09/23.55 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94)) | trans(s199, s95)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95))),
% 23.09/23.55 inference(rewrite,[status(thm)],[])).
% 23.09/23.55 tff(24684,plain,
% 23.09/23.55 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93)) | trans(s199, s94)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94))),
% 23.09/23.56 inference(rewrite,[status(thm)],[])).
% 23.09/23.56 tff(24685,plain,
% 23.09/23.56 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92)) | trans(s199, s93)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93))),
% 23.09/23.56 inference(rewrite,[status(thm)],[])).
% 23.09/23.56 tff(24686,plain,
% 23.09/23.56 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91)) | trans(s199, s92)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92))),
% 23.09/23.56 inference(rewrite,[status(thm)],[])).
% 23.09/23.56 tff(24687,plain,
% 23.09/23.56 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90)) | trans(s199, s91)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91))),
% 23.09/23.56 inference(rewrite,[status(thm)],[])).
% 23.09/23.56 tff(24688,plain,
% 23.09/23.56 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89)) | trans(s199, s90)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90))),
% 23.09/23.57 inference(rewrite,[status(thm)],[])).
% 23.09/23.57 tff(24689,plain,
% 23.09/23.57 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88)) | trans(s199, s89)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89))),
% 23.09/23.57 inference(rewrite,[status(thm)],[])).
% 23.09/23.57 tff(24690,plain,
% 23.09/23.57 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87)) | trans(s199, s88)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88))),
% 23.09/23.57 inference(rewrite,[status(thm)],[])).
% 23.09/23.57 tff(24691,plain,
% 23.09/23.57 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86)) | trans(s199, s87)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87))),
% 23.09/23.58 inference(rewrite,[status(thm)],[])).
% 23.09/23.58 tff(24692,plain,
% 23.09/23.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85)) | trans(s199, s86)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86))),
% 23.20/23.58 inference(rewrite,[status(thm)],[])).
% 23.20/23.58 tff(24693,plain,
% 23.20/23.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84)) | trans(s199, s85)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85))),
% 23.20/23.58 inference(rewrite,[status(thm)],[])).
% 23.20/23.58 tff(24694,plain,
% 23.20/23.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83)) | trans(s199, s84)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84))),
% 23.20/23.58 inference(rewrite,[status(thm)],[])).
% 23.20/23.58 tff(24695,plain,
% 23.20/23.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82)) | trans(s199, s83)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83))),
% 23.20/23.58 inference(rewrite,[status(thm)],[])).
% 23.20/23.58 tff(24696,plain,
% 23.20/23.58 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81)) | trans(s199, s82)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82))),
% 23.20/23.59 inference(rewrite,[status(thm)],[])).
% 23.20/23.59 tff(24697,plain,
% 23.20/23.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80)) | trans(s199, s81)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81))),
% 23.20/23.59 inference(rewrite,[status(thm)],[])).
% 23.20/23.59 tff(24698,plain,
% 23.20/23.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79)) | trans(s199, s80)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80))),
% 23.20/23.59 inference(rewrite,[status(thm)],[])).
% 23.20/23.59 tff(24699,plain,
% 23.20/23.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78)) | trans(s199, s79)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79))),
% 23.20/23.59 inference(rewrite,[status(thm)],[])).
% 23.20/23.59 tff(24700,plain,
% 23.20/23.59 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77)) | trans(s199, s78)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78))),
% 23.20/23.60 inference(rewrite,[status(thm)],[])).
% 23.20/23.60 tff(24701,plain,
% 23.20/23.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76)) | trans(s199, s77)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77))),
% 23.20/23.60 inference(rewrite,[status(thm)],[])).
% 23.20/23.60 tff(24702,plain,
% 23.20/23.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75)) | trans(s199, s76)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76))),
% 23.20/23.60 inference(rewrite,[status(thm)],[])).
% 23.20/23.60 tff(24703,plain,
% 23.20/23.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74)) | trans(s199, s75)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75))),
% 23.20/23.60 inference(rewrite,[status(thm)],[])).
% 23.20/23.60 tff(24704,plain,
% 23.20/23.60 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73)) | trans(s199, s74)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74))),
% 23.20/23.61 inference(rewrite,[status(thm)],[])).
% 23.20/23.61 tff(24705,plain,
% 23.20/23.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72)) | trans(s199, s73)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73))),
% 23.20/23.61 inference(rewrite,[status(thm)],[])).
% 23.20/23.61 tff(24706,plain,
% 23.20/23.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71)) | trans(s199, s72)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72))),
% 23.23/23.61 inference(rewrite,[status(thm)],[])).
% 23.23/23.61 tff(24707,plain,
% 23.23/23.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70)) | trans(s199, s71)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71))),
% 23.23/23.61 inference(rewrite,[status(thm)],[])).
% 23.23/23.61 tff(24708,plain,
% 23.23/23.61 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69)) | trans(s199, s70)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24709,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68)) | trans(s199, s69)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24710,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67)) | trans(s199, s68)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24711,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66)) | trans(s199, s67)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24712,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65)) | trans(s199, s66)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24713,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64)) | trans(s199, s65)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24714,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63)) | trans(s199, s64)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64))),
% 23.23/23.62 inference(rewrite,[status(thm)],[])).
% 23.23/23.62 tff(24715,plain,
% 23.23/23.62 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62)) | trans(s199, s63)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63))),
% 23.24/23.63 inference(rewrite,[status(thm)],[])).
% 23.24/23.63 tff(24716,plain,
% 23.24/23.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61)) | trans(s199, s62)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62))),
% 23.24/23.63 inference(rewrite,[status(thm)],[])).
% 23.24/23.63 tff(24717,plain,
% 23.24/23.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60)) | trans(s199, s61)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61))),
% 23.24/23.63 inference(rewrite,[status(thm)],[])).
% 23.24/23.63 tff(24718,plain,
% 23.24/23.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59)) | trans(s199, s60)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60))),
% 23.24/23.63 inference(rewrite,[status(thm)],[])).
% 23.24/23.63 tff(24719,plain,
% 23.24/23.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58)) | trans(s199, s59)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59))),
% 23.24/23.63 inference(rewrite,[status(thm)],[])).
% 23.24/23.63 tff(24720,plain,
% 23.24/23.63 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57)) | trans(s199, s58)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58))),
% 23.24/23.64 inference(rewrite,[status(thm)],[])).
% 23.24/23.64 tff(24721,plain,
% 23.24/23.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56)) | trans(s199, s57)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57))),
% 23.24/23.64 inference(rewrite,[status(thm)],[])).
% 23.24/23.64 tff(24722,plain,
% 23.24/23.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55)) | trans(s199, s56)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56))),
% 23.24/23.64 inference(rewrite,[status(thm)],[])).
% 23.24/23.64 tff(24723,plain,
% 23.24/23.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54)) | trans(s199, s55)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55))),
% 23.24/23.64 inference(rewrite,[status(thm)],[])).
% 23.24/23.64 tff(24724,plain,
% 23.24/23.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53)) | trans(s199, s54)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54))),
% 23.24/23.64 inference(rewrite,[status(thm)],[])).
% 23.24/23.64 tff(24725,plain,
% 23.24/23.64 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52)) | trans(s199, s53)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24726,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51)) | trans(s199, s52)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24727,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50)) | trans(s199, s51)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24728,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49)) | trans(s199, s50)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24729,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48)) | trans(s199, s49)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24730,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47)) | trans(s199, s48)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.65 tff(24731,plain,
% 23.24/23.65 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46)) | trans(s199, s47)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47))),
% 23.24/23.65 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24732,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45)) | trans(s199, s46)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24733,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44)) | trans(s199, s45)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24734,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43)) | trans(s199, s44)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24735,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42)) | trans(s199, s43)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24736,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41)) | trans(s199, s42)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24737,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40)) | trans(s199, s41)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24738,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39)) | trans(s199, s40)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24739,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38)) | trans(s199, s39)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24740,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37)) | trans(s199, s38)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38))),
% 23.24/23.66 inference(rewrite,[status(thm)],[])).
% 23.24/23.66 tff(24741,plain,
% 23.24/23.66 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36)) | trans(s199, s37)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24742,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35)) | trans(s199, s36)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24743,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34)) | trans(s199, s35)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24744,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33)) | trans(s199, s34)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24745,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32)) | trans(s199, s33)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24746,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31)) | trans(s199, s32)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24747,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30)) | trans(s199, s31)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24748,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29)) | trans(s199, s30)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24749,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28)) | trans(s199, s29)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29))),
% 23.24/23.67 inference(rewrite,[status(thm)],[])).
% 23.24/23.67 tff(24750,plain,
% 23.24/23.67 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27)) | trans(s199, s28)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24751,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26)) | trans(s199, s27)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24752,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25)) | trans(s199, s26)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24753,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24)) | trans(s199, s25)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24754,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23)) | trans(s199, s24)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24755,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22)) | trans(s199, s23)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24756,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21)) | trans(s199, s22)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24757,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20)) | trans(s199, s21)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24758,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19)) | trans(s199, s20)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24759,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18)) | trans(s199, s19)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24760,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17)) | trans(s199, s18)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24761,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16)) | trans(s199, s17)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24762,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15)) | trans(s199, s16)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24763,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14)) | trans(s199, s15)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24764,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13)) | trans(s199, s14)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24765,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12)) | trans(s199, s13)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24766,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11)) | trans(s199, s12)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24767,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10)) | trans(s199, s11)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24768,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9)) | trans(s199, s10)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24769,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8)) | trans(s199, s9)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24770,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7)) | trans(s199, s8)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24771,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6)) | trans(s199, s7)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24772,plain,
% 23.24/23.68 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5)) | trans(s199, s6)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6))),
% 23.24/23.68 inference(rewrite,[status(thm)],[])).
% 23.24/23.68 tff(24773,plain,
% 23.24/23.69 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4)) | trans(s199, s5)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5))),
% 23.24/23.69 inference(rewrite,[status(thm)],[])).
% 23.24/23.69 tff(24774,plain,
% 23.24/23.69 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3)) | trans(s199, s4)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4))),
% 23.24/23.69 inference(rewrite,[status(thm)],[])).
% 23.24/23.69 tff(24775,plain,
% 23.24/23.69 ((((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2)) | trans(s199, s3)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3))),
% 23.24/23.69 inference(rewrite,[status(thm)],[])).
% 23.24/23.69 tff(24776,plain,
% 23.24/23.69 ((((~loop) | trans(s199, s0) | trans(s199, s1)) | trans(s199, s2)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2))),
% 23.24/23.69 inference(rewrite,[status(thm)],[])).
% 23.24/23.69 tff(24777,plain,
% 23.24/23.69 ((((~loop) | trans(s199, s0)) | trans(s199, s1)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1))),
% 23.24/23.69 inference(rewrite,[status(thm)],[])).
% 23.24/23.69 tff(24778,plain,
% 23.24/23.69 (((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1)) | trans(s199, s2))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24777])).
% 23.24/23.69 tff(24779,plain,
% 23.24/23.69 (((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24778, 24776])).
% 23.24/23.69 tff(24780,plain,
% 23.24/23.69 ((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2)) | trans(s199, s3))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24779])).
% 23.24/23.69 tff(24781,plain,
% 23.24/23.69 ((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24780, 24775])).
% 23.24/23.69 tff(24782,plain,
% 23.24/23.69 (((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3)) | trans(s199, s4))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24781])).
% 23.24/23.69 tff(24783,plain,
% 23.24/23.69 (((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24782, 24774])).
% 23.24/23.69 tff(24784,plain,
% 23.24/23.69 ((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4)) | trans(s199, s5))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24783])).
% 23.24/23.69 tff(24785,plain,
% 23.24/23.69 ((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24784, 24773])).
% 23.24/23.69 tff(24786,plain,
% 23.24/23.69 (((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5)) | trans(s199, s6))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24785])).
% 23.24/23.69 tff(24787,plain,
% 23.24/23.69 (((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24786, 24772])).
% 23.24/23.69 tff(24788,plain,
% 23.24/23.69 ((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6)) | trans(s199, s7))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24787])).
% 23.24/23.69 tff(24789,plain,
% 23.24/23.69 ((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24788, 24771])).
% 23.24/23.69 tff(24790,plain,
% 23.24/23.69 (((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7)) | trans(s199, s8))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24789])).
% 23.24/23.69 tff(24791,plain,
% 23.24/23.69 (((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24790, 24770])).
% 23.24/23.69 tff(24792,plain,
% 23.24/23.69 ((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8)) | trans(s199, s9))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24791])).
% 23.24/23.69 tff(24793,plain,
% 23.24/23.69 ((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24792, 24769])).
% 23.24/23.69 tff(24794,plain,
% 23.24/23.69 (((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9)) | trans(s199, s10))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24793])).
% 23.24/23.69 tff(24795,plain,
% 23.24/23.69 (((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24794, 24768])).
% 23.24/23.69 tff(24796,plain,
% 23.24/23.69 ((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10)) | trans(s199, s11))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24795])).
% 23.24/23.69 tff(24797,plain,
% 23.24/23.69 ((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24796, 24767])).
% 23.24/23.69 tff(24798,plain,
% 23.24/23.69 (((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11)) | trans(s199, s12))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24797])).
% 23.24/23.69 tff(24799,plain,
% 23.24/23.69 (((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24798, 24766])).
% 23.24/23.69 tff(24800,plain,
% 23.24/23.69 ((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12)) | trans(s199, s13))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24799])).
% 23.24/23.69 tff(24801,plain,
% 23.24/23.69 ((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13))),
% 23.24/23.69 inference(transitivity,[status(thm)],[24800, 24765])).
% 23.24/23.69 tff(24802,plain,
% 23.24/23.69 (((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13)) | trans(s199, s14))),
% 23.24/23.69 inference(monotonicity,[status(thm)],[24801])).
% 23.24/23.69 tff(24803,plain,
% 23.24/23.69 (((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24802, 24764])).
% 23.24/23.70 tff(24804,plain,
% 23.24/23.70 ((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14)) | trans(s199, s15))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24803])).
% 23.24/23.70 tff(24805,plain,
% 23.24/23.70 ((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24804, 24763])).
% 23.24/23.70 tff(24806,plain,
% 23.24/23.70 (((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15)) | trans(s199, s16))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24805])).
% 23.24/23.70 tff(24807,plain,
% 23.24/23.70 (((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24806, 24762])).
% 23.24/23.70 tff(24808,plain,
% 23.24/23.70 ((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16)) | trans(s199, s17))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24807])).
% 23.24/23.70 tff(24809,plain,
% 23.24/23.70 ((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24808, 24761])).
% 23.24/23.70 tff(24810,plain,
% 23.24/23.70 (((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17)) | trans(s199, s18))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24809])).
% 23.24/23.70 tff(24811,plain,
% 23.24/23.70 (((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24810, 24760])).
% 23.24/23.70 tff(24812,plain,
% 23.24/23.70 ((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18)) | trans(s199, s19))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24811])).
% 23.24/23.70 tff(24813,plain,
% 23.24/23.70 ((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24812, 24759])).
% 23.24/23.70 tff(24814,plain,
% 23.24/23.70 (((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19)) | trans(s199, s20))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24813])).
% 23.24/23.70 tff(24815,plain,
% 23.24/23.70 (((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24814, 24758])).
% 23.24/23.70 tff(24816,plain,
% 23.24/23.70 ((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20)) | trans(s199, s21))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24815])).
% 23.24/23.70 tff(24817,plain,
% 23.24/23.70 ((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24816, 24757])).
% 23.24/23.70 tff(24818,plain,
% 23.24/23.70 (((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21)) | trans(s199, s22))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24817])).
% 23.24/23.70 tff(24819,plain,
% 23.24/23.70 (((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24818, 24756])).
% 23.24/23.70 tff(24820,plain,
% 23.24/23.70 ((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22)) | trans(s199, s23))),
% 23.24/23.70 inference(monotonicity,[status(thm)],[24819])).
% 23.24/23.70 tff(24821,plain,
% 23.24/23.70 ((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23))),
% 23.24/23.70 inference(transitivity,[status(thm)],[24820, 24755])).
% 23.24/23.71 tff(24822,plain,
% 23.24/23.71 (((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23)) | trans(s199, s24))),
% 23.24/23.71 inference(monotonicity,[status(thm)],[24821])).
% 23.24/23.71 tff(24823,plain,
% 23.24/23.71 (((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24))),
% 23.24/23.71 inference(transitivity,[status(thm)],[24822, 24754])).
% 23.24/23.71 tff(24824,plain,
% 23.24/23.71 ((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24)) | trans(s199, s25))),
% 23.24/23.71 inference(monotonicity,[status(thm)],[24823])).
% 23.24/23.71 tff(24825,plain,
% 23.24/23.71 ((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25))),
% 23.24/23.71 inference(transitivity,[status(thm)],[24824, 24753])).
% 23.24/23.71 tff(24826,plain,
% 23.24/23.71 (((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25)) | trans(s199, s26))),
% 23.24/23.71 inference(monotonicity,[status(thm)],[24825])).
% 23.24/23.71 tff(24827,plain,
% 23.24/23.71 (((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26))),
% 23.24/23.71 inference(transitivity,[status(thm)],[24826, 24752])).
% 23.24/23.71 tff(24828,plain,
% 23.24/23.71 ((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26)) | trans(s199, s27))),
% 23.24/23.71 inference(monotonicity,[status(thm)],[24827])).
% 23.24/23.71 tff(24829,plain,
% 23.24/23.71 ((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27))),
% 23.24/23.71 inference(transitivity,[status(thm)],[24828, 24751])).
% 23.24/23.71 tff(24830,plain,
% 23.24/23.71 (((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27)) | trans(s199, s28))),
% 23.24/23.71 inference(monotonicity,[status(thm)],[24829])).
% 23.24/23.71 tff(24831,plain,
% 23.24/23.71 (((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28))),
% 23.24/23.71 inference(transitivity,[status(thm)],[24830, 24750])).
% 23.24/23.71 tff(24832,plain,
% 23.24/23.71 ((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28)) | trans(s199, s29))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24831])).
% 23.33/23.72 tff(24833,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24832, 24749])).
% 23.33/23.72 tff(24834,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29)) | trans(s199, s30))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24833])).
% 23.33/23.72 tff(24835,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24834, 24748])).
% 23.33/23.72 tff(24836,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30)) | trans(s199, s31))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24835])).
% 23.33/23.72 tff(24837,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24836, 24747])).
% 23.33/23.72 tff(24838,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31)) | trans(s199, s32))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24837])).
% 23.33/23.72 tff(24839,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24838, 24746])).
% 23.33/23.72 tff(24840,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32)) | trans(s199, s33))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24839])).
% 23.33/23.72 tff(24841,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24840, 24745])).
% 23.33/23.72 tff(24842,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33)) | trans(s199, s34))),
% 23.33/23.72 inference(monotonicity,[status(thm)],[24841])).
% 23.33/23.72 tff(24843,plain,
% 23.33/23.72 (((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34))),
% 23.33/23.72 inference(transitivity,[status(thm)],[24842, 24744])).
% 23.33/23.72 tff(24844,plain,
% 23.33/23.72 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34)) | trans(s199, s35))),
% 23.33/23.73 inference(monotonicity,[status(thm)],[24843])).
% 23.33/23.73 tff(24845,plain,
% 23.33/23.73 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35))),
% 23.33/23.73 inference(transitivity,[status(thm)],[24844, 24743])).
% 23.33/23.73 tff(24846,plain,
% 23.33/23.73 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35)) | trans(s199, s36))),
% 23.33/23.73 inference(monotonicity,[status(thm)],[24845])).
% 23.33/23.73 tff(24847,plain,
% 23.33/23.73 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36))),
% 23.33/23.73 inference(transitivity,[status(thm)],[24846, 24742])).
% 23.33/23.73 tff(24848,plain,
% 23.33/23.73 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36)) | trans(s199, s37))),
% 23.33/23.73 inference(monotonicity,[status(thm)],[24847])).
% 23.33/23.73 tff(24849,plain,
% 23.33/23.73 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37))),
% 23.33/23.73 inference(transitivity,[status(thm)],[24848, 24741])).
% 23.33/23.73 tff(24850,plain,
% 23.33/23.73 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37)) | trans(s199, s38))),
% 23.33/23.73 inference(monotonicity,[status(thm)],[24849])).
% 23.33/23.73 tff(24851,plain,
% 23.33/23.73 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38))),
% 23.33/23.73 inference(transitivity,[status(thm)],[24850, 24740])).
% 23.33/23.73 tff(24852,plain,
% 23.33/23.73 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38)) | trans(s199, s39))),
% 23.33/23.74 inference(monotonicity,[status(thm)],[24851])).
% 23.33/23.74 tff(24853,plain,
% 23.33/23.74 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39))),
% 23.33/23.74 inference(transitivity,[status(thm)],[24852, 24739])).
% 23.33/23.74 tff(24854,plain,
% 23.33/23.74 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39)) | trans(s199, s40))),
% 23.33/23.74 inference(monotonicity,[status(thm)],[24853])).
% 23.33/23.74 tff(24855,plain,
% 23.33/23.74 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40))),
% 23.33/23.74 inference(transitivity,[status(thm)],[24854, 24738])).
% 23.33/23.74 tff(24856,plain,
% 23.33/23.74 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40)) | trans(s199, s41))),
% 23.33/23.74 inference(monotonicity,[status(thm)],[24855])).
% 23.33/23.74 tff(24857,plain,
% 23.33/23.74 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41))),
% 23.33/23.74 inference(transitivity,[status(thm)],[24856, 24737])).
% 23.33/23.74 tff(24858,plain,
% 23.33/23.74 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41)) | trans(s199, s42))),
% 23.33/23.74 inference(monotonicity,[status(thm)],[24857])).
% 23.33/23.74 tff(24859,plain,
% 23.33/23.74 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42))),
% 23.33/23.74 inference(transitivity,[status(thm)],[24858, 24736])).
% 23.33/23.74 tff(24860,plain,
% 23.33/23.74 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42)) | trans(s199, s43))),
% 23.33/23.74 inference(monotonicity,[status(thm)],[24859])).
% 23.33/23.74 tff(24861,plain,
% 23.33/23.74 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43))),
% 23.33/23.75 inference(transitivity,[status(thm)],[24860, 24735])).
% 23.33/23.75 tff(24862,plain,
% 23.33/23.75 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43)) | trans(s199, s44))),
% 23.33/23.75 inference(monotonicity,[status(thm)],[24861])).
% 23.33/23.75 tff(24863,plain,
% 23.33/23.75 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44))),
% 23.33/23.75 inference(transitivity,[status(thm)],[24862, 24734])).
% 23.33/23.75 tff(24864,plain,
% 23.33/23.75 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44)) | trans(s199, s45))),
% 23.33/23.75 inference(monotonicity,[status(thm)],[24863])).
% 23.33/23.75 tff(24865,plain,
% 23.33/23.75 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45))),
% 23.33/23.75 inference(transitivity,[status(thm)],[24864, 24733])).
% 23.33/23.75 tff(24866,plain,
% 23.33/23.75 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45)) | trans(s199, s46))),
% 23.33/23.75 inference(monotonicity,[status(thm)],[24865])).
% 23.33/23.75 tff(24867,plain,
% 23.33/23.75 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46))),
% 23.33/23.76 inference(transitivity,[status(thm)],[24866, 24732])).
% 23.33/23.76 tff(24868,plain,
% 23.33/23.76 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46)) | trans(s199, s47))),
% 23.33/23.76 inference(monotonicity,[status(thm)],[24867])).
% 23.33/23.76 tff(24869,plain,
% 23.33/23.76 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47))),
% 23.33/23.76 inference(transitivity,[status(thm)],[24868, 24731])).
% 23.33/23.76 tff(24870,plain,
% 23.33/23.76 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47)) | trans(s199, s48))),
% 23.33/23.76 inference(monotonicity,[status(thm)],[24869])).
% 23.33/23.76 tff(24871,plain,
% 23.33/23.76 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48))),
% 23.33/23.76 inference(transitivity,[status(thm)],[24870, 24730])).
% 23.33/23.76 tff(24872,plain,
% 23.33/23.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48)) | trans(s199, s49))),
% 23.33/23.76 inference(monotonicity,[status(thm)],[24871])).
% 23.33/23.76 tff(24873,plain,
% 23.33/23.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49))),
% 23.33/23.76 inference(transitivity,[status(thm)],[24872, 24729])).
% 23.33/23.76 tff(24874,plain,
% 23.33/23.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49)) | trans(s199, s50))),
% 23.33/23.76 inference(monotonicity,[status(thm)],[24873])).
% 23.33/23.76 tff(24875,plain,
% 23.33/23.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50))),
% 23.33/23.77 inference(transitivity,[status(thm)],[24874, 24728])).
% 23.33/23.77 tff(24876,plain,
% 23.33/23.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50)) | trans(s199, s51))),
% 23.33/23.77 inference(monotonicity,[status(thm)],[24875])).
% 23.33/23.77 tff(24877,plain,
% 23.33/23.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51))),
% 23.33/23.77 inference(transitivity,[status(thm)],[24876, 24727])).
% 23.33/23.77 tff(24878,plain,
% 23.33/23.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51)) | trans(s199, s52))),
% 23.33/23.77 inference(monotonicity,[status(thm)],[24877])).
% 23.33/23.77 tff(24879,plain,
% 23.33/23.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52))),
% 23.33/23.77 inference(transitivity,[status(thm)],[24878, 24726])).
% 23.33/23.77 tff(24880,plain,
% 23.33/23.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52)) | trans(s199, s53))),
% 23.33/23.77 inference(monotonicity,[status(thm)],[24879])).
% 23.33/23.77 tff(24881,plain,
% 23.33/23.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53))),
% 23.33/23.78 inference(transitivity,[status(thm)],[24880, 24725])).
% 23.33/23.78 tff(24882,plain,
% 23.33/23.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53)) | trans(s199, s54))),
% 23.33/23.78 inference(monotonicity,[status(thm)],[24881])).
% 23.33/23.78 tff(24883,plain,
% 23.33/23.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54))),
% 23.33/23.78 inference(transitivity,[status(thm)],[24882, 24724])).
% 23.33/23.78 tff(24884,plain,
% 23.33/23.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54)) | trans(s199, s55))),
% 23.33/23.78 inference(monotonicity,[status(thm)],[24883])).
% 23.33/23.78 tff(24885,plain,
% 23.33/23.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55))),
% 23.33/23.78 inference(transitivity,[status(thm)],[24884, 24723])).
% 23.33/23.78 tff(24886,plain,
% 23.33/23.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55)) | trans(s199, s56))),
% 23.40/23.79 inference(monotonicity,[status(thm)],[24885])).
% 23.40/23.79 tff(24887,plain,
% 23.40/23.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56))),
% 23.40/23.79 inference(transitivity,[status(thm)],[24886, 24722])).
% 23.40/23.79 tff(24888,plain,
% 23.40/23.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56)) | trans(s199, s57))),
% 23.40/23.79 inference(monotonicity,[status(thm)],[24887])).
% 23.40/23.79 tff(24889,plain,
% 23.40/23.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57))),
% 23.40/23.79 inference(transitivity,[status(thm)],[24888, 24721])).
% 23.40/23.79 tff(24890,plain,
% 23.40/23.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57)) | trans(s199, s58))),
% 23.40/23.79 inference(monotonicity,[status(thm)],[24889])).
% 23.40/23.79 tff(24891,plain,
% 23.40/23.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58))),
% 23.40/23.79 inference(transitivity,[status(thm)],[24890, 24720])).
% 23.40/23.79 tff(24892,plain,
% 23.40/23.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58)) | trans(s199, s59))),
% 23.40/23.79 inference(monotonicity,[status(thm)],[24891])).
% 23.40/23.79 tff(24893,plain,
% 23.40/23.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59))),
% 23.40/23.80 inference(transitivity,[status(thm)],[24892, 24719])).
% 23.40/23.80 tff(24894,plain,
% 23.40/23.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59)) | trans(s199, s60))),
% 23.40/23.80 inference(monotonicity,[status(thm)],[24893])).
% 23.40/23.80 tff(24895,plain,
% 23.40/23.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60))),
% 23.40/23.80 inference(transitivity,[status(thm)],[24894, 24718])).
% 23.40/23.80 tff(24896,plain,
% 23.40/23.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60)) | trans(s199, s61))),
% 23.40/23.80 inference(monotonicity,[status(thm)],[24895])).
% 23.40/23.80 tff(24897,plain,
% 23.40/23.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61))),
% 23.40/23.80 inference(transitivity,[status(thm)],[24896, 24717])).
% 23.40/23.80 tff(24898,plain,
% 23.40/23.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61)) | trans(s199, s62))),
% 23.40/23.81 inference(monotonicity,[status(thm)],[24897])).
% 23.40/23.81 tff(24899,plain,
% 23.40/23.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62))),
% 23.40/23.81 inference(transitivity,[status(thm)],[24898, 24716])).
% 23.40/23.81 tff(24900,plain,
% 23.40/23.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62)) | trans(s199, s63))),
% 23.40/23.81 inference(monotonicity,[status(thm)],[24899])).
% 23.40/23.81 tff(24901,plain,
% 23.40/23.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63))),
% 23.40/23.81 inference(transitivity,[status(thm)],[24900, 24715])).
% 23.40/23.81 tff(24902,plain,
% 23.40/23.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63)) | trans(s199, s64))),
% 23.40/23.81 inference(monotonicity,[status(thm)],[24901])).
% 23.40/23.81 tff(24903,plain,
% 23.40/23.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64))),
% 23.40/23.81 inference(transitivity,[status(thm)],[24902, 24714])).
% 23.40/23.81 tff(24904,plain,
% 23.40/23.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64)) | trans(s199, s65))),
% 23.40/23.82 inference(monotonicity,[status(thm)],[24903])).
% 23.40/23.82 tff(24905,plain,
% 23.40/23.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65))),
% 23.40/23.82 inference(transitivity,[status(thm)],[24904, 24713])).
% 23.40/23.82 tff(24906,plain,
% 23.40/23.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65)) | trans(s199, s66))),
% 23.40/23.82 inference(monotonicity,[status(thm)],[24905])).
% 23.40/23.82 tff(24907,plain,
% 23.40/23.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66))),
% 23.40/23.82 inference(transitivity,[status(thm)],[24906, 24712])).
% 23.40/23.82 tff(24908,plain,
% 23.40/23.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66)) | trans(s199, s67))),
% 23.40/23.83 inference(monotonicity,[status(thm)],[24907])).
% 23.40/23.83 tff(24909,plain,
% 23.40/23.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67))),
% 23.40/23.83 inference(transitivity,[status(thm)],[24908, 24711])).
% 23.40/23.83 tff(24910,plain,
% 23.40/23.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67)) | trans(s199, s68))),
% 23.40/23.83 inference(monotonicity,[status(thm)],[24909])).
% 23.40/23.83 tff(24911,plain,
% 23.40/23.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68))),
% 23.40/23.83 inference(transitivity,[status(thm)],[24910, 24710])).
% 23.40/23.83 tff(24912,plain,
% 23.40/23.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68)) | trans(s199, s69))),
% 23.40/23.83 inference(monotonicity,[status(thm)],[24911])).
% 23.40/23.83 tff(24913,plain,
% 23.40/23.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69))),
% 23.40/23.83 inference(transitivity,[status(thm)],[24912, 24709])).
% 23.40/23.83 tff(24914,plain,
% 23.40/23.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69)) | trans(s199, s70))),
% 23.40/23.84 inference(monotonicity,[status(thm)],[24913])).
% 23.40/23.84 tff(24915,plain,
% 23.40/23.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70))),
% 23.40/23.84 inference(transitivity,[status(thm)],[24914, 24708])).
% 23.40/23.84 tff(24916,plain,
% 23.40/23.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70)) | trans(s199, s71))),
% 23.40/23.84 inference(monotonicity,[status(thm)],[24915])).
% 23.40/23.84 tff(24917,plain,
% 23.40/23.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71))),
% 23.40/23.84 inference(transitivity,[status(thm)],[24916, 24707])).
% 23.40/23.84 tff(24918,plain,
% 23.40/23.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71)) | trans(s199, s72))),
% 23.40/23.85 inference(monotonicity,[status(thm)],[24917])).
% 23.40/23.85 tff(24919,plain,
% 23.40/23.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72))),
% 23.40/23.85 inference(transitivity,[status(thm)],[24918, 24706])).
% 23.40/23.85 tff(24920,plain,
% 23.40/23.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72)) | trans(s199, s73))),
% 23.40/23.85 inference(monotonicity,[status(thm)],[24919])).
% 23.40/23.85 tff(24921,plain,
% 23.40/23.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73))),
% 23.40/23.85 inference(transitivity,[status(thm)],[24920, 24705])).
% 23.40/23.85 tff(24922,plain,
% 23.40/23.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73)) | trans(s199, s74))),
% 23.40/23.86 inference(monotonicity,[status(thm)],[24921])).
% 23.40/23.86 tff(24923,plain,
% 23.40/23.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74))),
% 23.40/23.86 inference(transitivity,[status(thm)],[24922, 24704])).
% 23.40/23.86 tff(24924,plain,
% 23.40/23.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74)) | trans(s199, s75))),
% 23.40/23.86 inference(monotonicity,[status(thm)],[24923])).
% 23.40/23.86 tff(24925,plain,
% 23.40/23.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75))),
% 23.40/23.86 inference(transitivity,[status(thm)],[24924, 24703])).
% 23.40/23.86 tff(24926,plain,
% 23.40/23.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75)) | trans(s199, s76))),
% 23.40/23.86 inference(monotonicity,[status(thm)],[24925])).
% 23.40/23.86 tff(24927,plain,
% 23.40/23.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76))),
% 23.40/23.86 inference(transitivity,[status(thm)],[24926, 24702])).
% 23.40/23.86 tff(24928,plain,
% 23.40/23.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76)) | trans(s199, s77))),
% 23.48/23.87 inference(monotonicity,[status(thm)],[24927])).
% 23.48/23.87 tff(24929,plain,
% 23.48/23.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77))),
% 23.48/23.87 inference(transitivity,[status(thm)],[24928, 24701])).
% 23.48/23.87 tff(24930,plain,
% 23.48/23.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77)) | trans(s199, s78))),
% 23.48/23.87 inference(monotonicity,[status(thm)],[24929])).
% 23.48/23.87 tff(24931,plain,
% 23.48/23.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78))),
% 23.48/23.88 inference(transitivity,[status(thm)],[24930, 24700])).
% 23.48/23.88 tff(24932,plain,
% 23.48/23.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78)) | trans(s199, s79))),
% 23.48/23.88 inference(monotonicity,[status(thm)],[24931])).
% 23.48/23.88 tff(24933,plain,
% 23.48/23.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79))),
% 23.50/23.88 inference(transitivity,[status(thm)],[24932, 24699])).
% 23.50/23.88 tff(24934,plain,
% 23.50/23.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79)) | trans(s199, s80))),
% 23.50/23.88 inference(monotonicity,[status(thm)],[24933])).
% 23.50/23.88 tff(24935,plain,
% 23.50/23.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80))),
% 23.50/23.89 inference(transitivity,[status(thm)],[24934, 24698])).
% 23.50/23.89 tff(24936,plain,
% 23.50/23.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80)) | trans(s199, s81))),
% 23.50/23.89 inference(monotonicity,[status(thm)],[24935])).
% 23.50/23.89 tff(24937,plain,
% 23.50/23.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81))),
% 23.50/23.89 inference(transitivity,[status(thm)],[24936, 24697])).
% 23.50/23.89 tff(24938,plain,
% 23.50/23.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81)) | trans(s199, s82))),
% 23.50/23.89 inference(monotonicity,[status(thm)],[24937])).
% 23.50/23.89 tff(24939,plain,
% 23.50/23.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82))),
% 23.50/23.89 inference(transitivity,[status(thm)],[24938, 24696])).
% 23.50/23.89 tff(24940,plain,
% 23.50/23.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82)) | trans(s199, s83))),
% 23.50/23.90 inference(monotonicity,[status(thm)],[24939])).
% 23.50/23.90 tff(24941,plain,
% 23.50/23.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83))),
% 23.50/23.90 inference(transitivity,[status(thm)],[24940, 24695])).
% 23.50/23.90 tff(24942,plain,
% 23.50/23.90 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83)) | trans(s199, s84))),
% 23.50/23.90 inference(monotonicity,[status(thm)],[24941])).
% 23.50/23.90 tff(24943,plain,
% 23.50/23.90 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84))),
% 23.50/23.90 inference(transitivity,[status(thm)],[24942, 24694])).
% 23.50/23.90 tff(24944,plain,
% 23.50/23.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84)) | trans(s199, s85))),
% 23.50/23.91 inference(monotonicity,[status(thm)],[24943])).
% 23.50/23.91 tff(24945,plain,
% 23.50/23.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85))),
% 23.50/23.91 inference(transitivity,[status(thm)],[24944, 24693])).
% 23.50/23.91 tff(24946,plain,
% 23.50/23.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85)) | trans(s199, s86))),
% 23.53/23.91 inference(monotonicity,[status(thm)],[24945])).
% 23.53/23.91 tff(24947,plain,
% 23.53/23.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86))),
% 23.53/23.91 inference(transitivity,[status(thm)],[24946, 24692])).
% 23.53/23.91 tff(24948,plain,
% 23.53/23.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86)) | trans(s199, s87))),
% 23.53/23.92 inference(monotonicity,[status(thm)],[24947])).
% 23.53/23.92 tff(24949,plain,
% 23.53/23.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87))),
% 23.53/23.92 inference(transitivity,[status(thm)],[24948, 24691])).
% 23.53/23.92 tff(24950,plain,
% 23.53/23.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87)) | trans(s199, s88))),
% 23.53/23.92 inference(monotonicity,[status(thm)],[24949])).
% 23.53/23.92 tff(24951,plain,
% 23.53/23.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88))),
% 23.53/23.92 inference(transitivity,[status(thm)],[24950, 24690])).
% 23.53/23.92 tff(24952,plain,
% 23.53/23.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88)) | trans(s199, s89))),
% 23.54/23.93 inference(monotonicity,[status(thm)],[24951])).
% 23.54/23.93 tff(24953,plain,
% 23.54/23.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89))),
% 23.54/23.93 inference(transitivity,[status(thm)],[24952, 24689])).
% 23.54/23.93 tff(24954,plain,
% 23.54/23.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89)) | trans(s199, s90))),
% 23.54/23.93 inference(monotonicity,[status(thm)],[24953])).
% 23.54/23.93 tff(24955,plain,
% 23.54/23.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90))),
% 23.54/23.94 inference(transitivity,[status(thm)],[24954, 24688])).
% 23.54/23.94 tff(24956,plain,
% 23.54/23.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90)) | trans(s199, s91))),
% 23.54/23.94 inference(monotonicity,[status(thm)],[24955])).
% 23.54/23.94 tff(24957,plain,
% 23.54/23.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91))),
% 23.54/23.94 inference(transitivity,[status(thm)],[24956, 24687])).
% 23.54/23.94 tff(24958,plain,
% 23.54/23.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91)) | trans(s199, s92))),
% 23.54/23.94 inference(monotonicity,[status(thm)],[24957])).
% 23.54/23.94 tff(24959,plain,
% 23.54/23.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92))),
% 23.54/23.95 inference(transitivity,[status(thm)],[24958, 24686])).
% 23.54/23.95 tff(24960,plain,
% 23.54/23.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92)) | trans(s199, s93))),
% 23.54/23.95 inference(monotonicity,[status(thm)],[24959])).
% 23.54/23.95 tff(24961,plain,
% 23.54/23.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93))),
% 23.54/23.95 inference(transitivity,[status(thm)],[24960, 24685])).
% 23.54/23.95 tff(24962,plain,
% 23.54/23.95 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93)) | trans(s199, s94))),
% 23.54/23.96 inference(monotonicity,[status(thm)],[24961])).
% 23.54/23.96 tff(24963,plain,
% 23.54/23.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94))),
% 23.54/23.96 inference(transitivity,[status(thm)],[24962, 24684])).
% 23.54/23.96 tff(24964,plain,
% 23.54/23.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94)) | trans(s199, s95))),
% 23.54/23.96 inference(monotonicity,[status(thm)],[24963])).
% 23.54/23.96 tff(24965,plain,
% 23.54/23.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95))),
% 23.54/23.96 inference(transitivity,[status(thm)],[24964, 24683])).
% 23.54/23.96 tff(24966,plain,
% 23.54/23.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95)) | trans(s199, s96))),
% 23.54/23.97 inference(monotonicity,[status(thm)],[24965])).
% 23.54/23.97 tff(24967,plain,
% 23.54/23.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96))),
% 23.54/23.97 inference(transitivity,[status(thm)],[24966, 24682])).
% 23.54/23.97 tff(24968,plain,
% 23.54/23.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96)) | trans(s199, s97))),
% 23.54/23.97 inference(monotonicity,[status(thm)],[24967])).
% 23.54/23.97 tff(24969,plain,
% 23.54/23.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97))),
% 23.54/23.97 inference(transitivity,[status(thm)],[24968, 24681])).
% 23.54/23.97 tff(24970,plain,
% 23.54/23.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97)) | trans(s199, s98))),
% 23.54/23.98 inference(monotonicity,[status(thm)],[24969])).
% 23.54/23.98 tff(24971,plain,
% 23.54/23.98 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98))),
% 23.54/23.98 inference(transitivity,[status(thm)],[24970, 24680])).
% 23.54/23.98 tff(24972,plain,
% 23.54/23.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98)) | trans(s199, s99))),
% 23.54/23.98 inference(monotonicity,[status(thm)],[24971])).
% 23.54/23.98 tff(24973,plain,
% 23.54/23.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99))),
% 23.54/23.99 inference(transitivity,[status(thm)],[24972, 24679])).
% 23.54/23.99 tff(24974,plain,
% 23.54/23.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99)) | trans(s199, s100))),
% 23.54/23.99 inference(monotonicity,[status(thm)],[24973])).
% 23.54/23.99 tff(24975,plain,
% 23.54/23.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100))),
% 23.54/23.99 inference(transitivity,[status(thm)],[24974, 24678])).
% 23.54/23.99 tff(24976,plain,
% 23.54/23.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100)) | trans(s199, s101))),
% 23.54/23.99 inference(monotonicity,[status(thm)],[24975])).
% 23.54/23.99 tff(24977,plain,
% 23.54/23.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101))),
% 23.54/24.00 inference(transitivity,[status(thm)],[24976, 24677])).
% 23.54/24.00 tff(24978,plain,
% 23.54/24.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101)) | trans(s199, s102))),
% 23.54/24.00 inference(monotonicity,[status(thm)],[24977])).
% 23.54/24.00 tff(24979,plain,
% 23.54/24.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102))),
% 23.54/24.00 inference(transitivity,[status(thm)],[24978, 24676])).
% 23.54/24.00 tff(24980,plain,
% 23.54/24.00 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102)) | trans(s199, s103))),
% 23.54/24.01 inference(monotonicity,[status(thm)],[24979])).
% 23.54/24.01 tff(24981,plain,
% 23.54/24.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103))),
% 23.54/24.01 inference(transitivity,[status(thm)],[24980, 24675])).
% 23.54/24.01 tff(24982,plain,
% 23.54/24.01 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103)) | trans(s199, s104))),
% 23.63/24.02 inference(monotonicity,[status(thm)],[24981])).
% 23.63/24.02 tff(24983,plain,
% 23.63/24.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104))),
% 23.63/24.02 inference(transitivity,[status(thm)],[24982, 24674])).
% 23.63/24.02 tff(24984,plain,
% 23.63/24.02 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104)) | trans(s199, s105))),
% 23.63/24.02 inference(monotonicity,[status(thm)],[24983])).
% 23.63/24.02 tff(24985,plain,
% 23.63/24.02 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105))),
% 23.63/24.02 inference(transitivity,[status(thm)],[24984, 24673])).
% 23.63/24.02 tff(24986,plain,
% 23.63/24.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105)) | trans(s199, s106))),
% 23.63/24.03 inference(monotonicity,[status(thm)],[24985])).
% 23.63/24.03 tff(24987,plain,
% 23.63/24.03 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106))),
% 23.63/24.03 inference(transitivity,[status(thm)],[24986, 24672])).
% 23.63/24.03 tff(24988,plain,
% 23.63/24.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106)) | trans(s199, s107))),
% 23.63/24.03 inference(monotonicity,[status(thm)],[24987])).
% 23.63/24.03 tff(24989,plain,
% 23.63/24.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107))),
% 23.63/24.04 inference(transitivity,[status(thm)],[24988, 24671])).
% 23.63/24.04 tff(24990,plain,
% 23.63/24.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107)) | trans(s199, s108))),
% 23.63/24.04 inference(monotonicity,[status(thm)],[24989])).
% 23.63/24.04 tff(24991,plain,
% 23.63/24.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108))),
% 23.63/24.04 inference(transitivity,[status(thm)],[24990, 24670])).
% 23.63/24.04 tff(24992,plain,
% 23.63/24.04 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108)) | trans(s199, s109))),
% 23.63/24.04 inference(monotonicity,[status(thm)],[24991])).
% 23.63/24.04 tff(24993,plain,
% 23.63/24.04 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109))),
% 23.63/24.05 inference(transitivity,[status(thm)],[24992, 24669])).
% 23.63/24.05 tff(24994,plain,
% 23.63/24.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109)) | trans(s199, s110))),
% 23.63/24.05 inference(monotonicity,[status(thm)],[24993])).
% 23.63/24.05 tff(24995,plain,
% 23.63/24.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110))),
% 23.63/24.06 inference(transitivity,[status(thm)],[24994, 24668])).
% 23.63/24.06 tff(24996,plain,
% 23.63/24.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110)) | trans(s199, s111))),
% 23.63/24.06 inference(monotonicity,[status(thm)],[24995])).
% 23.63/24.06 tff(24997,plain,
% 23.63/24.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111))),
% 23.63/24.06 inference(transitivity,[status(thm)],[24996, 24667])).
% 23.63/24.06 tff(24998,plain,
% 23.63/24.06 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111)) | trans(s199, s112))),
% 23.63/24.07 inference(monotonicity,[status(thm)],[24997])).
% 23.63/24.07 tff(24999,plain,
% 23.63/24.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112))),
% 23.63/24.07 inference(transitivity,[status(thm)],[24998, 24666])).
% 23.63/24.07 tff(25000,plain,
% 23.63/24.07 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112)) | trans(s199, s113))),
% 23.63/24.07 inference(monotonicity,[status(thm)],[24999])).
% 23.63/24.07 tff(25001,plain,
% 23.63/24.07 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113))),
% 23.63/24.07 inference(transitivity,[status(thm)],[25000, 24665])).
% 23.63/24.07 tff(25002,plain,
% 23.63/24.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113)) | trans(s199, s114))),
% 23.63/24.08 inference(monotonicity,[status(thm)],[25001])).
% 23.63/24.08 tff(25003,plain,
% 23.63/24.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114))),
% 23.63/24.08 inference(transitivity,[status(thm)],[25002, 24664])).
% 23.63/24.08 tff(25004,plain,
% 23.63/24.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114)) | trans(s199, s115))),
% 23.63/24.09 inference(monotonicity,[status(thm)],[25003])).
% 23.63/24.09 tff(25005,plain,
% 23.63/24.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115))),
% 23.63/24.09 inference(transitivity,[status(thm)],[25004, 24663])).
% 23.63/24.09 tff(25006,plain,
% 23.63/24.09 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115)) | trans(s199, s116))),
% 23.63/24.09 inference(monotonicity,[status(thm)],[25005])).
% 23.63/24.09 tff(25007,plain,
% 23.63/24.09 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116))),
% 23.63/24.10 inference(transitivity,[status(thm)],[25006, 24662])).
% 23.63/24.10 tff(25008,plain,
% 23.63/24.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116)) | trans(s199, s117))),
% 23.71/24.10 inference(monotonicity,[status(thm)],[25007])).
% 23.71/24.10 tff(25009,plain,
% 23.71/24.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117))),
% 23.71/24.10 inference(transitivity,[status(thm)],[25008, 24661])).
% 23.71/24.10 tff(25010,plain,
% 23.71/24.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117)) | trans(s199, s118))),
% 23.71/24.11 inference(monotonicity,[status(thm)],[25009])).
% 23.71/24.11 tff(25011,plain,
% 23.71/24.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118))),
% 23.71/24.11 inference(transitivity,[status(thm)],[25010, 24660])).
% 23.71/24.11 tff(25012,plain,
% 23.71/24.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118)) | trans(s199, s119))),
% 23.71/24.11 inference(monotonicity,[status(thm)],[25011])).
% 23.71/24.11 tff(25013,plain,
% 23.71/24.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119))),
% 23.71/24.12 inference(transitivity,[status(thm)],[25012, 24659])).
% 23.71/24.12 tff(25014,plain,
% 23.71/24.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119)) | trans(s199, s120))),
% 23.71/24.12 inference(monotonicity,[status(thm)],[25013])).
% 23.71/24.12 tff(25015,plain,
% 23.71/24.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120))),
% 23.71/24.13 inference(transitivity,[status(thm)],[25014, 24658])).
% 23.71/24.13 tff(25016,plain,
% 23.71/24.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120)) | trans(s199, s121))),
% 23.71/24.13 inference(monotonicity,[status(thm)],[25015])).
% 23.71/24.13 tff(25017,plain,
% 23.71/24.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121))),
% 23.71/24.13 inference(transitivity,[status(thm)],[25016, 24657])).
% 23.71/24.13 tff(25018,plain,
% 23.71/24.13 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121)) | trans(s199, s122))),
% 23.71/24.14 inference(monotonicity,[status(thm)],[25017])).
% 23.71/24.14 tff(25019,plain,
% 23.71/24.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122))),
% 23.71/24.14 inference(transitivity,[status(thm)],[25018, 24656])).
% 23.71/24.14 tff(25020,plain,
% 23.71/24.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122)) | trans(s199, s123))),
% 23.71/24.14 inference(monotonicity,[status(thm)],[25019])).
% 23.71/24.14 tff(25021,plain,
% 23.71/24.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123))),
% 23.71/24.15 inference(transitivity,[status(thm)],[25020, 24655])).
% 23.71/24.15 tff(25022,plain,
% 23.71/24.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123)) | trans(s199, s124))),
% 23.71/24.15 inference(monotonicity,[status(thm)],[25021])).
% 23.71/24.15 tff(25023,plain,
% 23.71/24.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124))),
% 23.71/24.16 inference(transitivity,[status(thm)],[25022, 24654])).
% 23.71/24.16 tff(25024,plain,
% 23.71/24.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124)) | trans(s199, s125))),
% 23.71/24.16 inference(monotonicity,[status(thm)],[25023])).
% 23.71/24.16 tff(25025,plain,
% 23.71/24.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125))),
% 23.71/24.16 inference(transitivity,[status(thm)],[25024, 24653])).
% 23.71/24.16 tff(25026,plain,
% 23.71/24.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125)) | trans(s199, s126))),
% 23.71/24.17 inference(monotonicity,[status(thm)],[25025])).
% 23.71/24.17 tff(25027,plain,
% 23.71/24.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126))),
% 23.71/24.17 inference(transitivity,[status(thm)],[25026, 24652])).
% 23.71/24.17 tff(25028,plain,
% 23.71/24.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126)) | trans(s199, s127))),
% 23.71/24.17 inference(monotonicity,[status(thm)],[25027])).
% 23.71/24.17 tff(25029,plain,
% 23.71/24.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127))),
% 23.71/24.18 inference(transitivity,[status(thm)],[25028, 24651])).
% 23.71/24.18 tff(25030,plain,
% 23.71/24.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127)) | trans(s199, s128))),
% 23.71/24.18 inference(monotonicity,[status(thm)],[25029])).
% 23.71/24.18 tff(25031,plain,
% 23.71/24.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128))),
% 23.80/24.18 inference(transitivity,[status(thm)],[25030, 24650])).
% 23.80/24.18 tff(25032,plain,
% 23.80/24.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128)) | trans(s199, s129))),
% 23.80/24.19 inference(monotonicity,[status(thm)],[25031])).
% 23.80/24.19 tff(25033,plain,
% 23.80/24.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129))),
% 23.80/24.19 inference(transitivity,[status(thm)],[25032, 24649])).
% 23.80/24.19 tff(25034,plain,
% 23.80/24.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129)) | trans(s199, s130))),
% 23.81/24.20 inference(monotonicity,[status(thm)],[25033])).
% 23.81/24.20 tff(25035,plain,
% 23.81/24.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130))),
% 23.81/24.20 inference(transitivity,[status(thm)],[25034, 24648])).
% 23.81/24.20 tff(25036,plain,
% 23.81/24.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130)) | trans(s199, s131))),
% 23.81/24.21 inference(monotonicity,[status(thm)],[25035])).
% 23.81/24.21 tff(25037,plain,
% 23.81/24.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131))),
% 23.81/24.21 inference(transitivity,[status(thm)],[25036, 24647])).
% 23.81/24.21 tff(25038,plain,
% 23.81/24.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131)) | trans(s199, s132))),
% 23.83/24.21 inference(monotonicity,[status(thm)],[25037])).
% 23.83/24.21 tff(25039,plain,
% 23.83/24.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132))),
% 23.83/24.22 inference(transitivity,[status(thm)],[25038, 24646])).
% 23.83/24.22 tff(25040,plain,
% 23.83/24.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132)) | trans(s199, s133))),
% 23.83/24.22 inference(monotonicity,[status(thm)],[25039])).
% 23.83/24.22 tff(25041,plain,
% 23.83/24.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133))),
% 23.83/24.22 inference(transitivity,[status(thm)],[25040, 24645])).
% 23.83/24.22 tff(25042,plain,
% 23.83/24.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133)) | trans(s199, s134))),
% 23.83/24.23 inference(monotonicity,[status(thm)],[25041])).
% 23.83/24.23 tff(25043,plain,
% 23.83/24.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134))),
% 23.83/24.23 inference(transitivity,[status(thm)],[25042, 24644])).
% 23.83/24.23 tff(25044,plain,
% 23.83/24.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134)) | trans(s199, s135))),
% 23.83/24.23 inference(monotonicity,[status(thm)],[25043])).
% 23.83/24.23 tff(25045,plain,
% 23.83/24.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135))),
% 23.83/24.24 inference(transitivity,[status(thm)],[25044, 24643])).
% 23.83/24.24 tff(25046,plain,
% 23.83/24.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135)) | trans(s199, s136))),
% 23.83/24.24 inference(monotonicity,[status(thm)],[25045])).
% 23.83/24.24 tff(25047,plain,
% 23.83/24.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136))),
% 23.83/24.25 inference(transitivity,[status(thm)],[25046, 24642])).
% 23.83/24.25 tff(25048,plain,
% 23.83/24.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136)) | trans(s199, s137))),
% 23.83/24.25 inference(monotonicity,[status(thm)],[25047])).
% 23.83/24.25 tff(25049,plain,
% 23.83/24.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137))),
% 23.83/24.26 inference(transitivity,[status(thm)],[25048, 24641])).
% 23.83/24.26 tff(25050,plain,
% 23.83/24.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137)) | trans(s199, s138))),
% 23.83/24.26 inference(monotonicity,[status(thm)],[25049])).
% 23.83/24.26 tff(25051,plain,
% 23.83/24.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138))),
% 23.83/24.26 inference(transitivity,[status(thm)],[25050, 24640])).
% 23.83/24.26 tff(25052,plain,
% 23.83/24.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138)) | trans(s199, s139))),
% 23.83/24.27 inference(monotonicity,[status(thm)],[25051])).
% 23.83/24.27 tff(25053,plain,
% 23.83/24.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139))),
% 23.83/24.27 inference(transitivity,[status(thm)],[25052, 24639])).
% 23.83/24.27 tff(25054,plain,
% 23.83/24.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139)) | trans(s199, s140))),
% 23.83/24.28 inference(monotonicity,[status(thm)],[25053])).
% 23.83/24.28 tff(25055,plain,
% 23.83/24.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140))),
% 23.83/24.28 inference(transitivity,[status(thm)],[25054, 24638])).
% 23.83/24.28 tff(25056,plain,
% 23.83/24.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140)) | trans(s199, s141))),
% 23.83/24.29 inference(monotonicity,[status(thm)],[25055])).
% 23.83/24.29 tff(25057,plain,
% 23.83/24.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141))),
% 23.83/24.29 inference(transitivity,[status(thm)],[25056, 24637])).
% 23.83/24.29 tff(25058,plain,
% 23.83/24.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141)) | trans(s199, s142))),
% 23.83/24.29 inference(monotonicity,[status(thm)],[25057])).
% 23.83/24.29 tff(25059,plain,
% 23.83/24.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142))),
% 23.83/24.30 inference(transitivity,[status(thm)],[25058, 24636])).
% 23.83/24.30 tff(25060,plain,
% 23.83/24.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142)) | trans(s199, s143))),
% 23.83/24.30 inference(monotonicity,[status(thm)],[25059])).
% 23.83/24.30 tff(25061,plain,
% 23.83/24.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143))),
% 23.83/24.31 inference(transitivity,[status(thm)],[25060, 24635])).
% 23.83/24.31 tff(25062,plain,
% 23.83/24.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143)) | trans(s199, s144))),
% 23.93/24.31 inference(monotonicity,[status(thm)],[25061])).
% 23.93/24.31 tff(25063,plain,
% 23.93/24.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144))),
% 23.93/24.31 inference(transitivity,[status(thm)],[25062, 24634])).
% 23.93/24.31 tff(25064,plain,
% 23.93/24.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144)) | trans(s199, s145))),
% 23.93/24.32 inference(monotonicity,[status(thm)],[25063])).
% 23.93/24.32 tff(25065,plain,
% 23.93/24.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145))),
% 23.93/24.32 inference(transitivity,[status(thm)],[25064, 24633])).
% 23.93/24.32 tff(25066,plain,
% 23.93/24.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145)) | trans(s199, s146))),
% 23.93/24.33 inference(monotonicity,[status(thm)],[25065])).
% 23.93/24.33 tff(25067,plain,
% 23.93/24.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146))),
% 23.93/24.33 inference(transitivity,[status(thm)],[25066, 24632])).
% 23.93/24.33 tff(25068,plain,
% 23.93/24.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146)) | trans(s199, s147))),
% 23.93/24.34 inference(monotonicity,[status(thm)],[25067])).
% 23.93/24.34 tff(25069,plain,
% 23.93/24.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147))),
% 23.93/24.34 inference(transitivity,[status(thm)],[25068, 24631])).
% 23.93/24.34 tff(25070,plain,
% 23.93/24.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147)) | trans(s199, s148))),
% 23.93/24.35 inference(monotonicity,[status(thm)],[25069])).
% 23.93/24.35 tff(25071,plain,
% 23.93/24.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148))),
% 23.93/24.35 inference(transitivity,[status(thm)],[25070, 24630])).
% 23.93/24.35 tff(25072,plain,
% 23.93/24.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148)) | trans(s199, s149))),
% 23.93/24.36 inference(monotonicity,[status(thm)],[25071])).
% 23.93/24.36 tff(25073,plain,
% 23.93/24.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149))),
% 23.93/24.36 inference(transitivity,[status(thm)],[25072, 24629])).
% 23.93/24.36 tff(25074,plain,
% 23.93/24.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149)) | trans(s199, s150))),
% 23.93/24.36 inference(monotonicity,[status(thm)],[25073])).
% 23.93/24.36 tff(25075,plain,
% 23.93/24.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150))),
% 23.93/24.37 inference(transitivity,[status(thm)],[25074, 24628])).
% 23.93/24.37 tff(25076,plain,
% 23.93/24.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150)) | trans(s199, s151))),
% 23.93/24.37 inference(monotonicity,[status(thm)],[25075])).
% 23.93/24.37 tff(25077,plain,
% 23.93/24.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151))),
% 23.93/24.38 inference(transitivity,[status(thm)],[25076, 24627])).
% 23.93/24.38 tff(25078,plain,
% 23.93/24.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151)) | trans(s199, s152))),
% 23.93/24.38 inference(monotonicity,[status(thm)],[25077])).
% 23.93/24.38 tff(25079,plain,
% 23.93/24.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152))),
% 23.93/24.38 inference(transitivity,[status(thm)],[25078, 24626])).
% 23.93/24.38 tff(25080,plain,
% 23.93/24.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152)) | trans(s199, s153))),
% 23.93/24.39 inference(monotonicity,[status(thm)],[25079])).
% 23.93/24.39 tff(25081,plain,
% 23.93/24.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153))),
% 23.93/24.39 inference(transitivity,[status(thm)],[25080, 24625])).
% 23.93/24.39 tff(25082,plain,
% 23.93/24.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153)) | trans(s199, s154))),
% 24.01/24.40 inference(monotonicity,[status(thm)],[25081])).
% 24.01/24.40 tff(25083,plain,
% 24.01/24.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154))),
% 24.01/24.41 inference(transitivity,[status(thm)],[25082, 24624])).
% 24.01/24.41 tff(25084,plain,
% 24.01/24.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154)) | trans(s199, s155))),
% 24.01/24.41 inference(monotonicity,[status(thm)],[25083])).
% 24.01/24.41 tff(25085,plain,
% 24.01/24.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155))),
% 24.01/24.41 inference(transitivity,[status(thm)],[25084, 24623])).
% 24.01/24.41 tff(25086,plain,
% 24.01/24.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155)) | trans(s199, s156))),
% 24.01/24.42 inference(monotonicity,[status(thm)],[25085])).
% 24.01/24.42 tff(25087,plain,
% 24.01/24.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156))),
% 24.01/24.42 inference(transitivity,[status(thm)],[25086, 24622])).
% 24.01/24.42 tff(25088,plain,
% 24.01/24.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156)) | trans(s199, s157))),
% 24.01/24.43 inference(monotonicity,[status(thm)],[25087])).
% 24.01/24.43 tff(25089,plain,
% 24.01/24.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157))),
% 24.01/24.43 inference(transitivity,[status(thm)],[25088, 24621])).
% 24.01/24.43 tff(25090,plain,
% 24.01/24.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157)) | trans(s199, s158))),
% 24.01/24.44 inference(monotonicity,[status(thm)],[25089])).
% 24.01/24.44 tff(25091,plain,
% 24.01/24.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158))),
% 24.01/24.44 inference(transitivity,[status(thm)],[25090, 24620])).
% 24.01/24.44 tff(25092,plain,
% 24.01/24.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158)) | trans(s199, s159))),
% 24.01/24.45 inference(monotonicity,[status(thm)],[25091])).
% 24.01/24.45 tff(25093,plain,
% 24.01/24.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159))),
% 24.01/24.45 inference(transitivity,[status(thm)],[25092, 24619])).
% 24.01/24.45 tff(25094,plain,
% 24.01/24.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159)) | trans(s199, s160))),
% 24.01/24.45 inference(monotonicity,[status(thm)],[25093])).
% 24.01/24.45 tff(25095,plain,
% 24.01/24.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160))),
% 24.01/24.46 inference(transitivity,[status(thm)],[25094, 24618])).
% 24.01/24.46 tff(25096,plain,
% 24.01/24.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160)) | trans(s199, s161))),
% 24.01/24.46 inference(monotonicity,[status(thm)],[25095])).
% 24.01/24.46 tff(25097,plain,
% 24.01/24.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161))),
% 24.01/24.47 inference(transitivity,[status(thm)],[25096, 24617])).
% 24.01/24.47 tff(25098,plain,
% 24.01/24.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161)) | trans(s199, s162))),
% 24.01/24.48 inference(monotonicity,[status(thm)],[25097])).
% 24.01/24.48 tff(25099,plain,
% 24.01/24.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162))),
% 24.01/24.48 inference(transitivity,[status(thm)],[25098, 24616])).
% 24.01/24.48 tff(25100,plain,
% 24.01/24.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162)) | trans(s199, s163))),
% 24.10/24.48 inference(monotonicity,[status(thm)],[25099])).
% 24.10/24.48 tff(25101,plain,
% 24.10/24.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163))),
% 24.10/24.49 inference(transitivity,[status(thm)],[25100, 24615])).
% 24.10/24.49 tff(25102,plain,
% 24.10/24.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163)) | trans(s199, s164))),
% 24.10/24.49 inference(monotonicity,[status(thm)],[25101])).
% 24.10/24.49 tff(25103,plain,
% 24.10/24.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164))),
% 24.10/24.50 inference(transitivity,[status(thm)],[25102, 24614])).
% 24.10/24.50 tff(25104,plain,
% 24.10/24.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164)) | trans(s199, s165))),
% 24.10/24.50 inference(monotonicity,[status(thm)],[25103])).
% 24.10/24.50 tff(25105,plain,
% 24.10/24.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165))),
% 24.10/24.51 inference(transitivity,[status(thm)],[25104, 24613])).
% 24.10/24.51 tff(25106,plain,
% 24.10/24.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165)) | trans(s199, s166))),
% 24.10/24.51 inference(monotonicity,[status(thm)],[25105])).
% 24.10/24.51 tff(25107,plain,
% 24.10/24.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166))),
% 24.10/24.52 inference(transitivity,[status(thm)],[25106, 24612])).
% 24.10/24.52 tff(25108,plain,
% 24.10/24.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166)) | trans(s199, s167))),
% 24.10/24.52 inference(monotonicity,[status(thm)],[25107])).
% 24.10/24.52 tff(25109,plain,
% 24.10/24.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167))),
% 24.10/24.53 inference(transitivity,[status(thm)],[25108, 24611])).
% 24.10/24.53 tff(25110,plain,
% 24.10/24.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167)) | trans(s199, s168))),
% 24.10/24.53 inference(monotonicity,[status(thm)],[25109])).
% 24.10/24.53 tff(25111,plain,
% 24.10/24.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168))),
% 24.10/24.54 inference(transitivity,[status(thm)],[25110, 24610])).
% 24.10/24.54 tff(25112,plain,
% 24.10/24.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168)) | trans(s199, s169))),
% 24.10/24.54 inference(monotonicity,[status(thm)],[25111])).
% 24.10/24.54 tff(25113,plain,
% 24.10/24.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169))),
% 24.10/24.55 inference(transitivity,[status(thm)],[25112, 24609])).
% 24.10/24.55 tff(25114,plain,
% 24.10/24.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169)) | trans(s199, s170))),
% 24.10/24.55 inference(monotonicity,[status(thm)],[25113])).
% 24.10/24.55 tff(25115,plain,
% 24.10/24.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170))),
% 24.10/24.56 inference(transitivity,[status(thm)],[25114, 24608])).
% 24.10/24.56 tff(25116,plain,
% 24.10/24.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170)) | trans(s199, s171))),
% 24.10/24.56 inference(monotonicity,[status(thm)],[25115])).
% 24.10/24.56 tff(25117,plain,
% 24.10/24.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171))),
% 24.10/24.57 inference(transitivity,[status(thm)],[25116, 24607])).
% 24.10/24.57 tff(25118,plain,
% 24.10/24.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171)) | trans(s199, s172))),
% 24.10/24.57 inference(monotonicity,[status(thm)],[25117])).
% 24.10/24.57 tff(25119,plain,
% 24.10/24.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172))),
% 24.10/24.58 inference(transitivity,[status(thm)],[25118, 24606])).
% 24.10/24.58 tff(25120,plain,
% 24.10/24.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172)) | trans(s199, s173))),
% 24.20/24.58 inference(monotonicity,[status(thm)],[25119])).
% 24.20/24.58 tff(25121,plain,
% 24.20/24.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173))),
% 24.20/24.59 inference(transitivity,[status(thm)],[25120, 24605])).
% 24.20/24.59 tff(25122,plain,
% 24.20/24.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173)) | trans(s199, s174))),
% 24.20/24.60 inference(monotonicity,[status(thm)],[25121])).
% 24.20/24.60 tff(25123,plain,
% 24.20/24.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174))),
% 24.21/24.60 inference(transitivity,[status(thm)],[25122, 24604])).
% 24.21/24.60 tff(25124,plain,
% 24.21/24.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174)) | trans(s199, s175))),
% 24.21/24.60 inference(monotonicity,[status(thm)],[25123])).
% 24.21/24.60 tff(25125,plain,
% 24.21/24.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175))),
% 24.23/24.61 inference(transitivity,[status(thm)],[25124, 24603])).
% 24.23/24.61 tff(25126,plain,
% 24.23/24.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175)) | trans(s199, s176))),
% 24.23/24.62 inference(monotonicity,[status(thm)],[25125])).
% 24.23/24.62 tff(25127,plain,
% 24.23/24.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176))),
% 24.23/24.62 inference(transitivity,[status(thm)],[25126, 24602])).
% 24.23/24.62 tff(25128,plain,
% 24.23/24.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176)) | trans(s199, s177))),
% 24.23/24.62 inference(monotonicity,[status(thm)],[25127])).
% 24.23/24.62 tff(25129,plain,
% 24.23/24.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177))),
% 24.23/24.63 inference(transitivity,[status(thm)],[25128, 24601])).
% 24.23/24.63 tff(25130,plain,
% 24.23/24.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177)) | trans(s199, s178))),
% 24.23/24.64 inference(monotonicity,[status(thm)],[25129])).
% 24.23/24.64 tff(25131,plain,
% 24.23/24.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178))),
% 24.23/24.64 inference(transitivity,[status(thm)],[25130, 24600])).
% 24.23/24.64 tff(25132,plain,
% 24.23/24.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178)) | trans(s199, s179))),
% 24.23/24.65 inference(monotonicity,[status(thm)],[25131])).
% 24.23/24.65 tff(25133,plain,
% 24.23/24.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179))),
% 24.23/24.65 inference(transitivity,[status(thm)],[25132, 24599])).
% 24.23/24.65 tff(25134,plain,
% 24.23/24.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179)) | trans(s199, s180))),
% 24.23/24.66 inference(monotonicity,[status(thm)],[25133])).
% 24.23/24.66 tff(25135,plain,
% 24.23/24.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180))),
% 24.23/24.66 inference(transitivity,[status(thm)],[25134, 24598])).
% 24.23/24.66 tff(25136,plain,
% 24.23/24.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180)) | trans(s199, s181))),
% 24.23/24.67 inference(monotonicity,[status(thm)],[25135])).
% 24.23/24.67 tff(25137,plain,
% 24.23/24.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181))),
% 24.23/24.67 inference(transitivity,[status(thm)],[25136, 24597])).
% 24.23/24.67 tff(25138,plain,
% 24.23/24.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181)) | trans(s199, s182))),
% 24.23/24.68 inference(monotonicity,[status(thm)],[25137])).
% 24.23/24.68 tff(25139,plain,
% 24.23/24.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182))),
% 24.23/24.68 inference(transitivity,[status(thm)],[25138, 24596])).
% 24.23/24.68 tff(25140,plain,
% 24.23/24.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182)) | trans(s199, s183))),
% 24.23/24.69 inference(monotonicity,[status(thm)],[25139])).
% 24.23/24.69 tff(25141,plain,
% 24.23/24.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183))),
% 24.23/24.69 inference(transitivity,[status(thm)],[25140, 24595])).
% 24.23/24.69 tff(25142,plain,
% 24.23/24.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183)) | trans(s199, s184))),
% 24.23/24.70 inference(monotonicity,[status(thm)],[25141])).
% 24.23/24.70 tff(25143,plain,
% 24.23/24.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184))),
% 24.23/24.71 inference(transitivity,[status(thm)],[25142, 24594])).
% 24.23/24.71 tff(25144,plain,
% 24.23/24.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184)) | trans(s199, s185))),
% 24.33/24.71 inference(monotonicity,[status(thm)],[25143])).
% 24.33/24.71 tff(25145,plain,
% 24.33/24.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185))),
% 24.33/24.72 inference(transitivity,[status(thm)],[25144, 24593])).
% 24.33/24.72 tff(25146,plain,
% 24.33/24.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185)) | trans(s199, s186))),
% 24.33/24.72 inference(monotonicity,[status(thm)],[25145])).
% 24.33/24.72 tff(25147,plain,
% 24.33/24.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186))),
% 24.33/24.73 inference(transitivity,[status(thm)],[25146, 24592])).
% 24.33/24.73 tff(25148,plain,
% 24.33/24.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186)) | trans(s199, s187))),
% 24.33/24.73 inference(monotonicity,[status(thm)],[25147])).
% 24.33/24.73 tff(25149,plain,
% 24.33/24.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187))),
% 24.33/24.74 inference(transitivity,[status(thm)],[25148, 24591])).
% 24.33/24.74 tff(25150,plain,
% 24.33/24.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187)) | trans(s199, s188))),
% 24.33/24.74 inference(monotonicity,[status(thm)],[25149])).
% 24.33/24.74 tff(25151,plain,
% 24.33/24.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188))),
% 24.33/24.75 inference(transitivity,[status(thm)],[25150, 24590])).
% 24.33/24.75 tff(25152,plain,
% 24.33/24.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188)) | trans(s199, s189))),
% 24.33/24.76 inference(monotonicity,[status(thm)],[25151])).
% 24.33/24.76 tff(25153,plain,
% 24.33/24.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189))),
% 24.33/24.76 inference(transitivity,[status(thm)],[25152, 24589])).
% 24.33/24.76 tff(25154,plain,
% 24.33/24.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189)) | trans(s199, s190))),
% 24.33/24.77 inference(monotonicity,[status(thm)],[25153])).
% 24.33/24.77 tff(25155,plain,
% 24.33/24.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190))),
% 24.33/24.77 inference(transitivity,[status(thm)],[25154, 24588])).
% 24.33/24.77 tff(25156,plain,
% 24.33/24.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190)) | trans(s199, s191))),
% 24.33/24.78 inference(monotonicity,[status(thm)],[25155])).
% 24.33/24.78 tff(25157,plain,
% 24.33/24.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191))),
% 24.33/24.78 inference(transitivity,[status(thm)],[25156, 24587])).
% 24.33/24.78 tff(25158,plain,
% 24.33/24.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191)) | trans(s199, s192))),
% 24.33/24.79 inference(monotonicity,[status(thm)],[25157])).
% 24.33/24.79 tff(25159,plain,
% 24.33/24.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192))),
% 24.33/24.79 inference(transitivity,[status(thm)],[25158, 24586])).
% 24.33/24.79 tff(25160,plain,
% 24.33/24.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192)) | trans(s199, s193))),
% 24.33/24.80 inference(monotonicity,[status(thm)],[25159])).
% 24.33/24.80 tff(25161,plain,
% 24.33/24.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193))),
% 24.33/24.81 inference(transitivity,[status(thm)],[25160, 24585])).
% 24.33/24.81 tff(25162,plain,
% 24.33/24.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193)) | trans(s199, s194))),
% 24.33/24.81 inference(monotonicity,[status(thm)],[25161])).
% 24.33/24.81 tff(25163,plain,
% 24.33/24.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194))),
% 24.42/24.82 inference(transitivity,[status(thm)],[25162, 24584])).
% 24.42/24.82 tff(25164,plain,
% 24.42/24.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194)) | trans(s199, s195))),
% 24.42/24.82 inference(monotonicity,[status(thm)],[25163])).
% 24.42/24.82 tff(25165,plain,
% 24.42/24.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195))),
% 24.42/24.83 inference(transitivity,[status(thm)],[25164, 24583])).
% 24.42/24.83 tff(25166,plain,
% 24.42/24.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195)) | trans(s199, s196))),
% 24.42/24.84 inference(monotonicity,[status(thm)],[25165])).
% 24.42/24.84 tff(25167,plain,
% 24.42/24.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196))),
% 24.42/24.84 inference(transitivity,[status(thm)],[25166, 24582])).
% 24.42/24.84 tff(25168,plain,
% 24.42/24.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196)) | trans(s199, s197))),
% 24.42/24.85 inference(monotonicity,[status(thm)],[25167])).
% 24.42/24.85 tff(25169,plain,
% 24.42/24.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197))),
% 24.42/24.85 inference(transitivity,[status(thm)],[25168, 24581])).
% 24.42/24.85 tff(25170,plain,
% 24.42/24.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197)) | trans(s199, s198))),
% 24.42/24.86 inference(monotonicity,[status(thm)],[25169])).
% 24.42/24.86 tff(25171,plain,
% 24.42/24.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198))),
% 24.42/24.86 inference(transitivity,[status(thm)],[25170, 24580])).
% 24.42/24.86 tff(25172,plain,
% 24.42/24.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)) <=> (((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198)) | trans(s199, s199))),
% 24.42/24.87 inference(monotonicity,[status(thm)],[25171])).
% 24.42/24.87 tff(25173,plain,
% 24.42/24.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)) <=> ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199))),
% 24.42/24.88 inference(transitivity,[status(thm)],[25172, 24579])).
% 24.42/24.88 tff(25174,axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s199, s0)) | trans(s199, s1)) | trans(s199, s2)) | trans(s199, s3)) | trans(s199, s4)) | trans(s199, s5)) | trans(s199, s6)) | trans(s199, s7)) | trans(s199, s8)) | trans(s199, s9)) | trans(s199, s10)) | trans(s199, s11)) | trans(s199, s12)) | trans(s199, s13)) | trans(s199, s14)) | trans(s199, s15)) | trans(s199, s16)) | trans(s199, s17)) | trans(s199, s18)) | trans(s199, s19)) | trans(s199, s20)) | trans(s199, s21)) | trans(s199, s22)) | trans(s199, s23)) | trans(s199, s24)) | trans(s199, s25)) | trans(s199, s26)) | trans(s199, s27)) | trans(s199, s28)) | trans(s199, s29)) | trans(s199, s30)) | trans(s199, s31)) | trans(s199, s32)) | trans(s199, s33)) | trans(s199, s34)) | trans(s199, s35)) | trans(s199, s36)) | trans(s199, s37)) | trans(s199, s38)) | trans(s199, s39)) | trans(s199, s40)) | trans(s199, s41)) | trans(s199, s42)) | trans(s199, s43)) | trans(s199, s44)) | trans(s199, s45)) | trans(s199, s46)) | trans(s199, s47)) | trans(s199, s48)) | trans(s199, s49)) | trans(s199, s50)) | trans(s199, s51)) | trans(s199, s52)) | trans(s199, s53)) | trans(s199, s54)) | trans(s199, s55)) | trans(s199, s56)) | trans(s199, s57)) | trans(s199, s58)) | trans(s199, s59)) | trans(s199, s60)) | trans(s199, s61)) | trans(s199, s62)) | trans(s199, s63)) | trans(s199, s64)) | trans(s199, s65)) | trans(s199, s66)) | trans(s199, s67)) | trans(s199, s68)) | trans(s199, s69)) | trans(s199, s70)) | trans(s199, s71)) | trans(s199, s72)) | trans(s199, s73)) | trans(s199, s74)) | trans(s199, s75)) | trans(s199, s76)) | trans(s199, s77)) | trans(s199, s78)) | trans(s199, s79)) | trans(s199, s80)) | trans(s199, s81)) | trans(s199, s82)) | trans(s199, s83)) | trans(s199, s84)) | trans(s199, s85)) | trans(s199, s86)) | trans(s199, s87)) | trans(s199, s88)) | trans(s199, s89)) | trans(s199, s90)) | trans(s199, s91)) | trans(s199, s92)) | trans(s199, s93)) | trans(s199, s94)) | trans(s199, s95)) | trans(s199, s96)) | trans(s199, s97)) | trans(s199, s98)) | trans(s199, s99)) | trans(s199, s100)) | trans(s199, s101)) | trans(s199, s102)) | trans(s199, s103)) | trans(s199, s104)) | trans(s199, s105)) | trans(s199, s106)) | trans(s199, s107)) | trans(s199, s108)) | trans(s199, s109)) | trans(s199, s110)) | trans(s199, s111)) | trans(s199, s112)) | trans(s199, s113)) | trans(s199, s114)) | trans(s199, s115)) | trans(s199, s116)) | trans(s199, s117)) | trans(s199, s118)) | trans(s199, s119)) | trans(s199, s120)) | trans(s199, s121)) | trans(s199, s122)) | trans(s199, s123)) | trans(s199, s124)) | trans(s199, s125)) | trans(s199, s126)) | trans(s199, s127)) | trans(s199, s128)) | trans(s199, s129)) | trans(s199, s130)) | trans(s199, s131)) | trans(s199, s132)) | trans(s199, s133)) | trans(s199, s134)) | trans(s199, s135)) | trans(s199, s136)) | trans(s199, s137)) | trans(s199, s138)) | trans(s199, s139)) | trans(s199, s140)) | trans(s199, s141)) | trans(s199, s142)) | trans(s199, s143)) | trans(s199, s144)) | trans(s199, s145)) | trans(s199, s146)) | trans(s199, s147)) | trans(s199, s148)) | trans(s199, s149)) | trans(s199, s150)) | trans(s199, s151)) | trans(s199, s152)) | trans(s199, s153)) | trans(s199, s154)) | trans(s199, s155)) | trans(s199, s156)) | trans(s199, s157)) | trans(s199, s158)) | trans(s199, s159)) | trans(s199, s160)) | trans(s199, s161)) | trans(s199, s162)) | trans(s199, s163)) | trans(s199, s164)) | trans(s199, s165)) | trans(s199, s166)) | trans(s199, s167)) | trans(s199, s168)) | trans(s199, s169)) | trans(s199, s170)) | trans(s199, s171)) | trans(s199, s172)) | trans(s199, s173)) | trans(s199, s174)) | trans(s199, s175)) | trans(s199, s176)) | trans(s199, s177)) | trans(s199, s178)) | trans(s199, s179)) | trans(s199, s180)) | trans(s199, s181)) | trans(s199, s182)) | trans(s199, s183)) | trans(s199, s184)) | trans(s199, s185)) | trans(s199, s186)) | trans(s199, s187)) | trans(s199, s188)) | trans(s199, s189)) | trans(s199, s190)) | trans(s199, s191)) | trans(s199, s192)) | trans(s199, s193)) | trans(s199, s194)) | trans(s199, s195)) | trans(s199, s196)) | trans(s199, s197)) | trans(s199, s198)) | trans(s199, s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound202')).
% 24.42/24.88 tff(25175,plain,
% 24.42/24.88 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.88 inference(modus_ponens,[status(thm)],[25174, 25173])).
% 24.42/24.88 tff(25176,plain,
% 24.42/24.88 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.89 inference(modus_ponens,[status(thm)],[25175, 24578])).
% 24.42/24.89 tff(25177,plain,
% 24.42/24.89 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.89 inference(modus_ponens,[status(thm)],[25176, 24578])).
% 24.42/24.89 tff(25178,plain,
% 24.42/24.89 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.89 inference(modus_ponens,[status(thm)],[25177, 24578])).
% 24.42/24.89 tff(25179,plain,
% 24.42/24.89 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.89 inference(modus_ponens,[status(thm)],[25178, 24578])).
% 24.42/24.89 tff(25180,plain,
% 24.42/24.89 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.42/24.90 inference(modus_ponens,[status(thm)],[25179, 24578])).
% 24.42/24.90 tff(25181,plain,
% 24.42/24.90 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.52/24.90 inference(modus_ponens,[status(thm)],[25180, 24578])).
% 24.52/24.90 tff(25182,plain,
% 24.52/24.90 ((~loop) | trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.52/24.90 inference(modus_ponens,[status(thm)],[25181, 24578])).
% 24.52/24.90 tff(25183,plain,
% 24.52/24.90 (trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s198) | trans(s199, s199)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25182, 24577])).
% 24.52/24.91 tff(25184,plain,
% 24.52/24.91 (trans(s199, s0) | trans(s199, s1) | trans(s199, s2) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s9) | trans(s199, s10) | trans(s199, s11) | trans(s199, s12) | trans(s199, s13) | trans(s199, s14) | trans(s199, s15) | trans(s199, s16) | trans(s199, s17) | trans(s199, s18) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s24) | trans(s199, s25) | trans(s199, s26) | trans(s199, s27) | trans(s199, s28) | trans(s199, s29) | trans(s199, s30) | trans(s199, s31) | trans(s199, s32) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s36) | trans(s199, s37) | trans(s199, s38) | trans(s199, s39) | trans(s199, s40) | trans(s199, s41) | trans(s199, s42) | trans(s199, s43) | trans(s199, s44) | trans(s199, s45) | trans(s199, s46) | trans(s199, s47) | trans(s199, s48) | trans(s199, s49) | trans(s199, s50) | trans(s199, s51) | trans(s199, s52) | trans(s199, s53) | trans(s199, s54) | trans(s199, s55) | trans(s199, s56) | trans(s199, s57) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s64) | trans(s199, s65) | trans(s199, s66) | trans(s199, s67) | trans(s199, s68) | trans(s199, s69) | trans(s199, s70) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s74) | trans(s199, s75) | trans(s199, s76) | trans(s199, s77) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s81) | trans(s199, s82) | trans(s199, s83) | trans(s199, s84) | trans(s199, s85) | trans(s199, s86) | trans(s199, s87) | trans(s199, s88) | trans(s199, s89) | trans(s199, s90) | trans(s199, s91) | trans(s199, s92) | trans(s199, s93) | trans(s199, s94) | trans(s199, s95) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s99) | trans(s199, s100) | trans(s199, s101) | trans(s199, s102) | trans(s199, s103) | trans(s199, s104) | trans(s199, s105) | trans(s199, s106) | trans(s199, s107) | trans(s199, s108) | trans(s199, s109) | trans(s199, s110) | trans(s199, s111) | trans(s199, s112) | trans(s199, s113) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s118) | trans(s199, s119) | trans(s199, s120) | trans(s199, s121) | trans(s199, s122) | trans(s199, s123) | trans(s199, s124) | trans(s199, s125) | trans(s199, s126) | trans(s199, s127) | trans(s199, s128) | trans(s199, s129) | trans(s199, s130) | trans(s199, s131) | trans(s199, s132) | trans(s199, s133) | trans(s199, s134) | trans(s199, s135) | trans(s199, s136) | trans(s199, s137) | trans(s199, s138) | trans(s199, s139) | trans(s199, s140) | trans(s199, s141) | trans(s199, s142) | trans(s199, s143) | trans(s199, s144) | trans(s199, s145) | trans(s199, s146) | trans(s199, s147) | trans(s199, s148) | trans(s199, s149) | trans(s199, s150) | trans(s199, s151) | trans(s199, s152) | trans(s199, s153) | trans(s199, s154) | trans(s199, s155) | trans(s199, s156) | trans(s199, s157) | trans(s199, s158) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s162) | trans(s199, s163) | trans(s199, s164) | trans(s199, s165) | trans(s199, s166) | trans(s199, s167) | trans(s199, s168) | trans(s199, s169) | trans(s199, s170) | trans(s199, s171) | trans(s199, s172) | trans(s199, s173) | trans(s199, s174) | trans(s199, s175) | trans(s199, s176) | trans(s199, s177) | trans(s199, s178) | trans(s199, s179) | trans(s199, s180) | trans(s199, s181) | trans(s199, s182) | trans(s199, s183) | trans(s199, s184) | trans(s199, s185) | trans(s199, s186) | trans(s199, s187) | trans(s199, s188) | trans(s199, s189) | trans(s199, s190) | trans(s199, s191) | trans(s199, s192) | trans(s199, s193) | trans(s199, s194) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s199)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25183, 24539])).
% 24.52/24.91 tff(25185,plain,
% 24.52/24.91 (trans(s199, s9)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25184, 24331, 24320, 24309, 24298, 24287, 24276, 24265, 24254, 24243, 24232, 24221, 24210, 24199, 24188, 24177, 24166, 24155, 24144, 24133, 24122, 24111, 24100, 24089, 24078, 24067, 24056, 24045, 24034, 24023, 24012, 24001, 23990, 23979, 23968, 23957, 23946, 23935, 23924, 23913, 23902, 23891, 23880, 23869, 23858, 23847, 23836, 23825, 23814, 23803, 23792, 23781, 23770, 23759, 23748, 23737, 23726, 23715, 23704, 23693, 23682, 23671, 23660, 23649, 23638, 23627, 23616, 23605, 23594, 23583, 23572, 23561, 23550, 23539, 23528, 23517, 23506, 23495, 23484, 23473, 23462, 23451, 23440, 23429, 23418, 23407, 23396, 23385, 23374, 23363, 23352, 23341, 23330, 23319, 23308, 23297, 23286, 23275, 23264, 23253, 23242, 23231, 23220, 23209, 23198, 23187, 23176, 23165, 23154, 23143, 23132, 23121, 23110, 23099, 23088, 23077, 23066, 23055, 23034, 23023, 23012, 23001, 22990, 22979, 22968, 22957, 22946, 22935, 22924, 22913, 22902, 22891, 22880, 22869, 22858, 22847, 22836, 22825, 22814, 22803, 22792, 22781, 22770, 22759, 22748, 22737, 22726, 22715, 22704, 22693, 22682, 22671, 22660, 22649, 22638, 22627, 22616, 22605, 22594, 22553, 22542, 22531, 22520, 22509, 22488, 22477, 22466, 22455, 22444, 22433, 22422, 22411, 22400, 22389, 22378, 22367, 22356, 22345, 22294, 22283, 22272, 22261, 22250, 22239, 22228, 22217, 22206, 22195, 22184, 22173, 22162, 22151, 22140, 22129, 22118, 22107, 22096, 22085, 22074])).
% 24.52/24.91 tff(25186,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25187,plain,
% 24.52/24.91 (((~trans(s199, s9)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s9)) <=> (until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25188,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25187])).
% 24.52/24.91 tff(25189,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25188, 25186])).
% 24.52/24.91 tff(25190,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s199, s9)) | (~last(s199)) | (~xuntil28(s199)) | until2p29(s9))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25191,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s199)) | (~xuntil28(s199)) | (~trans(s199, s9))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25190, 25189])).
% 24.52/24.91 tff(25192,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25191, 20124, 25185, 22062, 22052, 20114])).
% 24.52/24.91 tff(25193,plain,(always25(s199)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25194,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s147) | (~trans(s199, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s147) | (~trans(s199, s147)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25195,plain,
% 24.52/24.91 (((~trans(s199, s147)) | (~always25(s199)) | always25(s147)) <=> ((~always25(s199)) | always25(s147) | (~trans(s199, s147)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25196,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s147)) | (~always25(s199)) | always25(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s147) | (~trans(s199, s147))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25195])).
% 24.52/24.91 tff(25197,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s147)) | (~always25(s199)) | always25(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s147) | (~trans(s199, s147)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25196, 25194])).
% 24.52/24.91 tff(25198,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s147)) | (~always25(s199)) | always25(s147))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25199,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s147) | (~trans(s199, s147))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25198, 25197])).
% 24.52/24.91 tff(25200,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25199, 24278, 6146, 25193, 16331])).
% 24.52/24.91 tff(25201,plain,(~trans(s199, s147)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25202,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s65, s66)) | (~always25(s65)) | always25(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s65, s66)) | (~always25(s65)) | always25(s66))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25203,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s65, s66)) | (~always25(s65)) | always25(s66))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25204,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s65, s66)) | (~always25(s65)) | always25(s66)),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25203, 25202])).
% 24.52/24.91 tff(25205,plain,
% 24.52/24.91 ((~always25(s65)) | always25(s66)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25204, 6146, 5618])).
% 24.52/24.91 tff(25206,plain,
% 24.52/24.91 (~always25(s65)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25205, 16913])).
% 24.52/24.91 tff(25207,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s65) | (~trans(s199, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s65) | (~trans(s199, s65)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25208,plain,
% 24.52/24.91 (((~trans(s199, s65)) | (~always25(s199)) | always25(s65)) <=> ((~always25(s199)) | always25(s65) | (~trans(s199, s65)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25209,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s65)) | (~always25(s199)) | always25(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s65) | (~trans(s199, s65))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25208])).
% 24.52/24.91 tff(25210,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s65)) | (~always25(s199)) | always25(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s65) | (~trans(s199, s65)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25209, 25207])).
% 24.52/24.91 tff(25211,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s65)) | (~always25(s199)) | always25(s65))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25212,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s65) | (~trans(s199, s65))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 24.52/24.91 tff(25213,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25212, 24289, 6146, 25193, 25206])).
% 24.52/24.91 tff(25214,plain,(~trans(s199, s65)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25215,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s167) | (~trans(s199, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s167) | (~trans(s199, s167)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25216,plain,
% 24.52/24.91 (((~trans(s199, s167)) | (~always25(s199)) | always25(s167)) <=> ((~always25(s199)) | always25(s167) | (~trans(s199, s167)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25217,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s167)) | (~always25(s199)) | always25(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s167) | (~trans(s199, s167))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25216])).
% 24.52/24.91 tff(25218,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s167)) | (~always25(s199)) | always25(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s167) | (~trans(s199, s167)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25217, 25215])).
% 24.52/24.91 tff(25219,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s167)) | (~always25(s199)) | always25(s167))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25220,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s167) | (~trans(s199, s167))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 24.52/24.91 tff(25221,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25220, 24267, 6146, 25193, 16186])).
% 24.52/24.91 tff(25222,plain,(~trans(s199, s167)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25223,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s112) | (~trans(s199, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s112) | (~trans(s199, s112)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25224,plain,
% 24.52/24.91 (((~trans(s199, s112)) | (~always25(s199)) | always25(s112)) <=> ((~always25(s199)) | always25(s112) | (~trans(s199, s112)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25225,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s112)) | (~always25(s199)) | always25(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s112) | (~trans(s199, s112))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25224])).
% 24.52/24.91 tff(25226,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s112)) | (~always25(s199)) | always25(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s112) | (~trans(s199, s112)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25225, 25223])).
% 24.52/24.91 tff(25227,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s112)) | (~always25(s199)) | always25(s112))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25228,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s112) | (~trans(s199, s112))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25227, 25226])).
% 24.52/24.91 tff(25229,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25228, 24300, 6146, 25193, 16587])).
% 24.52/24.91 tff(25230,plain,(~trans(s199, s112)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25231,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s86) | (~trans(s199, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s86) | (~trans(s199, s86)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25232,plain,
% 24.52/24.91 (((~trans(s199, s86)) | (~always25(s199)) | always25(s86)) <=> ((~always25(s199)) | always25(s86) | (~trans(s199, s86)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25233,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s86)) | (~always25(s199)) | always25(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s86) | (~trans(s199, s86))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25232])).
% 24.52/24.91 tff(25234,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s86)) | (~always25(s199)) | always25(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s86) | (~trans(s199, s86)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25233, 25231])).
% 24.52/24.91 tff(25235,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s86)) | (~always25(s199)) | always25(s86))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25236,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s86) | (~trans(s199, s86))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 24.52/24.91 tff(25237,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25236, 24311, 6146, 25193, 16775])).
% 24.52/24.91 tff(25238,plain,(~trans(s199, s86)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25239,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s193, s194)) | (~always25(s193)) | always25(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s193, s194)) | (~always25(s193)) | always25(s194))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25240,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s193, s194)) | (~always25(s193)) | always25(s194))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25241,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s193, s194)) | (~always25(s193)) | always25(s194)),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 24.52/24.91 tff(25242,plain,
% 24.52/24.91 ((~always25(s193)) | always25(s194)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25241, 6146, 15706])).
% 24.52/24.91 tff(25243,plain,
% 24.52/24.91 (~always25(s193)),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25242, 15992])).
% 24.52/24.91 tff(25244,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s193) | (~trans(s199, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s193) | (~trans(s199, s193)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25245,plain,
% 24.52/24.91 (((~trans(s199, s193)) | (~always25(s199)) | always25(s193)) <=> ((~always25(s199)) | always25(s193) | (~trans(s199, s193)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25246,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s193)) | (~always25(s199)) | always25(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s193) | (~trans(s199, s193))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25245])).
% 24.52/24.91 tff(25247,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s193)) | (~always25(s199)) | always25(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s193) | (~trans(s199, s193)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25246, 25244])).
% 24.52/24.91 tff(25248,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s193)) | (~always25(s199)) | always25(s193))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25249,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s193) | (~trans(s199, s193))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25248, 25247])).
% 24.52/24.91 tff(25250,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25249, 24212, 6146, 25193, 25243])).
% 24.52/24.91 tff(25251,plain,(~trans(s199, s193)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25252,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s59) | (~trans(s199, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s59) | (~trans(s199, s59)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25253,plain,
% 24.52/24.91 (((~trans(s199, s59)) | (~always25(s199)) | always25(s59)) <=> ((~always25(s199)) | always25(s59) | (~trans(s199, s59)))),
% 24.52/24.91 inference(rewrite,[status(thm)],[])).
% 24.52/24.91 tff(25254,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s59)) | (~always25(s199)) | always25(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s59) | (~trans(s199, s59))))),
% 24.52/24.91 inference(monotonicity,[status(thm)],[25253])).
% 24.52/24.91 tff(25255,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s59)) | (~always25(s199)) | always25(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s59) | (~trans(s199, s59)))),
% 24.52/24.91 inference(transitivity,[status(thm)],[25254, 25252])).
% 24.52/24.91 tff(25256,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s59)) | (~always25(s199)) | always25(s59))),
% 24.52/24.91 inference(quant_inst,[status(thm)],[])).
% 24.52/24.91 tff(25257,plain,
% 24.52/24.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s59) | (~trans(s199, s59))),
% 24.52/24.91 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 24.52/24.91 tff(25258,plain,
% 24.52/24.91 ($false),
% 24.52/24.91 inference(unit_resolution,[status(thm)],[25257, 24223, 6146, 25193, 16962])).
% 24.52/24.91 tff(25259,plain,(~trans(s199, s59)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.91 tff(25260,plain,
% 24.52/24.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s50) | (~trans(s199, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s50) | (~trans(s199, s50)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25261,plain,
% 24.52/24.92 (((~trans(s199, s50)) | (~always25(s199)) | always25(s50)) <=> ((~always25(s199)) | always25(s50) | (~trans(s199, s50)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25262,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s50)) | (~always25(s199)) | always25(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s50) | (~trans(s199, s50))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25261])).
% 24.52/24.92 tff(25263,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s50)) | (~always25(s199)) | always25(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s50) | (~trans(s199, s50)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25262, 25260])).
% 24.52/24.92 tff(25264,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s50)) | (~always25(s199)) | always25(s50))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25265,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s50) | (~trans(s199, s50))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 24.52/24.92 tff(25266,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25265, 24234, 6146, 25193, 17029])).
% 24.52/24.92 tff(25267,plain,(~trans(s199, s50)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25268,assumption,(node18(s199, s199)), introduced(assumption)).
% 24.52/24.92 tff(25269,plain,
% 24.52/24.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s198, c_n2) | (~node16(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s198, c_n2) | (~node16(s198)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25270,plain,
% 24.52/24.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s198, c_n2) | (~node16(s198)))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25271,plain,
% 24.52/24.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s198, c_n2) | (~node16(s198))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25270, 25269])).
% 24.52/24.92 tff(25272,plain,
% 24.52/24.92 (~node16(s198)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25271, 497, 24441])).
% 24.52/24.92 tff(25273,plain,
% 24.52/24.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s198, c_n1) | (~node15(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s198, c_n1) | (~node15(s198)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25274,plain,
% 24.52/24.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s198, c_n1) | (~node15(s198)))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25275,plain,
% 24.52/24.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s198, c_n1) | (~node15(s198))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25274, 25273])).
% 24.52/24.92 tff(25276,plain,
% 24.52/24.92 (~node15(s198)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25275, 508, 24461])).
% 24.52/24.92 tff(25277,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s198, s199)) | node18(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s198, s199)) | node18(s198, s199))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25278,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s198, s199)) | node18(s198, s199))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25279,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s198, s199)) | node18(s198, s199)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25278, 25277])).
% 24.52/24.92 tff(25280,plain,
% 24.52/24.92 (node18(s198, s199)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25279, 71, 6136])).
% 24.52/24.92 tff(25281,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s198) | node16(s198) | node17(s198, s199) | (~node18(s198, s199)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s198) | node16(s198) | node17(s198, s199) | (~node18(s198, s199)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25282,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s198) | node16(s198) | node17(s198, s199) | (~node18(s198, s199)))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25283,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s198) | node16(s198) | node17(s198, s199) | (~node18(s198, s199))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 24.52/24.92 tff(25284,plain,
% 24.52/24.92 (node15(s198) | node16(s198) | node17(s198, s199)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25283, 85, 25280])).
% 24.52/24.92 tff(25285,plain,
% 24.52/24.92 (node17(s198, s199)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25284, 25276, 25272])).
% 24.52/24.92 tff(25286,plain,
% 24.52/24.92 (((~![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(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, 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(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, c_2)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25287,plain,
% 24.52/24.92 (((~node17(s198, s199)) | m_main_v_turn(s198, c_2) | (~m_main_v_turn(s199, c_2))) <=> (m_main_v_turn(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, c_2)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25288,plain,
% 24.52/24.92 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s198, s199)) | m_main_v_turn(s198, c_2) | (~m_main_v_turn(s199, 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(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, c_2))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25287])).
% 24.52/24.92 tff(25289,plain,
% 24.52/24.92 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s198, s199)) | m_main_v_turn(s198, c_2) | (~m_main_v_turn(s199, 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(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, c_2)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25288, 25286])).
% 24.52/24.92 tff(25290,plain,
% 24.52/24.92 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s198, s199)) | m_main_v_turn(s198, c_2) | (~m_main_v_turn(s199, c_2)))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25291,plain,
% 24.52/24.92 ((~![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(s198, c_2) | (~node17(s198, s199)) | (~m_main_v_turn(s199, c_2))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25290, 25289])).
% 24.52/24.92 tff(25292,plain,
% 24.52/24.92 (~m_main_v_turn(s199, c_2)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25291, 336, 24494, 25285])).
% 24.52/24.92 tff(25293,plain,
% 24.52/24.92 (((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s199)) | m_main_v_turn(s199, 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, s199)) | m_main_v_turn(s199, c_2))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25294,plain,
% 24.52/24.92 ((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s199)) | m_main_v_turn(s199, c_2))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25295,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s199)) | m_main_v_turn(s199, c_2)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25294, 25293])).
% 24.52/24.92 tff(25296,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25295, 625, 25292, 24530, 24474, 25268])).
% 24.52/24.92 tff(25297,plain,(~node18(s199, s199)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25298,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s199)) | node18(s199, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s199)) | node18(s199, s199))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25299,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s199)) | node18(s199, s199))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25300,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s199)) | node18(s199, s199)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25299, 25298])).
% 24.52/24.92 tff(25301,plain,
% 24.52/24.92 (~trans(s199, s199)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25300, 71, 25297])).
% 24.52/24.92 tff(25302,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s73, s74)) | (~always25(s73)) | always25(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s73, s74)) | (~always25(s73)) | always25(s74))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25303,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s73, s74)) | (~always25(s73)) | always25(s74))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25304,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s73, s74)) | (~always25(s73)) | always25(s74)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25303, 25302])).
% 24.52/24.92 tff(25305,plain,
% 24.52/24.92 ((~always25(s73)) | always25(s74)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25304, 6146, 6286])).
% 24.52/24.92 tff(25306,plain,
% 24.52/24.92 (~always25(s73)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25305, 16862])).
% 24.52/24.92 tff(25307,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s73) | (~trans(s199, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s73) | (~trans(s199, s73)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25308,plain,
% 24.52/24.92 (((~trans(s199, s73)) | (~always25(s199)) | always25(s73)) <=> ((~always25(s199)) | always25(s73) | (~trans(s199, s73)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25309,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s73)) | (~always25(s199)) | always25(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s73) | (~trans(s199, s73))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25308])).
% 24.52/24.92 tff(25310,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s73)) | (~always25(s199)) | always25(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s73) | (~trans(s199, s73)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25309, 25307])).
% 24.52/24.92 tff(25311,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s73)) | (~always25(s199)) | always25(s73))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25312,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s73) | (~trans(s199, s73))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 24.52/24.92 tff(25313,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25312, 24256, 6146, 25193, 25306])).
% 24.52/24.92 tff(25314,plain,(~trans(s199, s73)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25315,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s83) | (~trans(s199, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s83) | (~trans(s199, s83)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25316,plain,
% 24.52/24.92 (((~trans(s199, s83)) | (~always25(s199)) | always25(s83)) <=> ((~always25(s199)) | always25(s83) | (~trans(s199, s83)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25317,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s83)) | (~always25(s199)) | always25(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s83) | (~trans(s199, s83))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25316])).
% 24.52/24.92 tff(25318,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s83)) | (~always25(s199)) | always25(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s83) | (~trans(s199, s83)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25317, 25315])).
% 24.52/24.92 tff(25319,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s83)) | (~always25(s199)) | always25(s83))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25320,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s83) | (~trans(s199, s83))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 24.52/24.92 tff(25321,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25320, 24102, 6146, 25193, 16795])).
% 24.52/24.92 tff(25322,plain,(~trans(s199, s83)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25323,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s114) | (~trans(s199, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s114) | (~trans(s199, s114)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25324,plain,
% 24.52/24.92 (((~trans(s199, s114)) | (~always25(s199)) | always25(s114)) <=> ((~always25(s199)) | always25(s114) | (~trans(s199, s114)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25325,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s114)) | (~always25(s199)) | always25(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s114) | (~trans(s199, s114))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25324])).
% 24.52/24.92 tff(25326,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s114)) | (~always25(s199)) | always25(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s114) | (~trans(s199, s114)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25325, 25323])).
% 24.52/24.92 tff(25327,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s114)) | (~always25(s199)) | always25(s114))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25328,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s114) | (~trans(s199, s114))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 24.52/24.92 tff(25329,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25328, 24091, 6146, 25193, 16572])).
% 24.52/24.92 tff(25330,plain,(~trans(s199, s114)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25331,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s42) | (~trans(s199, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s42) | (~trans(s199, s42)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25332,plain,
% 24.52/24.92 (((~trans(s199, s42)) | (~always25(s199)) | always25(s42)) <=> ((~always25(s199)) | always25(s42) | (~trans(s199, s42)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25333,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s42)) | (~always25(s199)) | always25(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s42) | (~trans(s199, s42))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25332])).
% 24.52/24.92 tff(25334,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s42)) | (~always25(s199)) | always25(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s42) | (~trans(s199, s42)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25333, 25331])).
% 24.52/24.92 tff(25335,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s42)) | (~always25(s199)) | always25(s42))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25336,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s42) | (~trans(s199, s42))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25335, 25334])).
% 24.52/24.92 tff(25337,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25336, 24080, 6146, 25193, 17087])).
% 24.52/24.92 tff(25338,plain,(~trans(s199, s42)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25339,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s6) | (~trans(s199, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s6) | (~trans(s199, s6)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25340,plain,
% 24.52/24.92 (((~trans(s199, s6)) | (~always25(s199)) | always25(s6)) <=> ((~always25(s199)) | always25(s6) | (~trans(s199, s6)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25341,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s6)) | (~always25(s199)) | always25(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s6) | (~trans(s199, s6))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25340])).
% 24.52/24.92 tff(25342,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s6)) | (~always25(s199)) | always25(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s6) | (~trans(s199, s6)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25341, 25339])).
% 24.52/24.92 tff(25343,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s6)) | (~always25(s199)) | always25(s6))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25344,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s6) | (~trans(s199, s6))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 24.52/24.92 tff(25345,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25344, 24069, 6146, 25193, 17348])).
% 24.52/24.92 tff(25346,plain,(~trans(s199, s6)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25347,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s34) | (~trans(s199, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s34) | (~trans(s199, s34)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25348,plain,
% 24.52/24.92 (((~trans(s199, s34)) | (~always25(s199)) | always25(s34)) <=> ((~always25(s199)) | always25(s34) | (~trans(s199, s34)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25349,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s34)) | (~always25(s199)) | always25(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s34) | (~trans(s199, s34))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25348])).
% 24.52/24.92 tff(25350,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s34)) | (~always25(s199)) | always25(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s34) | (~trans(s199, s34)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25349, 25347])).
% 24.52/24.92 tff(25351,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s34)) | (~always25(s199)) | always25(s34))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25352,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s34) | (~trans(s199, s34))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 24.52/24.92 tff(25353,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25352, 24058, 6146, 25193, 17145])).
% 24.52/24.92 tff(25354,plain,(~trans(s199, s34)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25355,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s35) | (~trans(s199, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s35) | (~trans(s199, s35)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25356,plain,
% 24.52/24.92 (((~trans(s199, s35)) | (~always25(s199)) | always25(s35)) <=> ((~always25(s199)) | always25(s35) | (~trans(s199, s35)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25357,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s35)) | (~always25(s199)) | always25(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s35) | (~trans(s199, s35))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25356])).
% 24.52/24.92 tff(25358,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s35)) | (~always25(s199)) | always25(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s35) | (~trans(s199, s35)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25357, 25355])).
% 24.52/24.92 tff(25359,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s35)) | (~always25(s199)) | always25(s35))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25360,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s35) | (~trans(s199, s35))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25359, 25358])).
% 24.52/24.92 tff(25361,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25360, 24047, 6146, 25193, 17136])).
% 24.52/24.92 tff(25362,plain,(~trans(s199, s35)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25363,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s69, s70)) | (~always25(s69)) | always25(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s69, s70)) | (~always25(s69)) | always25(s70))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25364,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s69, s70)) | (~always25(s69)) | always25(s70))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25365,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s69, s70)) | (~always25(s69)) | always25(s70)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 24.52/24.92 tff(25366,plain,
% 24.52/24.92 ((~always25(s69)) | always25(s70)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25365, 6146, 5913])).
% 24.52/24.92 tff(25367,plain,
% 24.52/24.92 (~always25(s69)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25366, 16884])).
% 24.52/24.92 tff(25368,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s69) | (~trans(s199, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s69) | (~trans(s199, s69)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25369,plain,
% 24.52/24.92 (((~trans(s199, s69)) | (~always25(s199)) | always25(s69)) <=> ((~always25(s199)) | always25(s69) | (~trans(s199, s69)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25370,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s69)) | (~always25(s199)) | always25(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s69) | (~trans(s199, s69))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25369])).
% 24.52/24.92 tff(25371,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s69)) | (~always25(s199)) | always25(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s69) | (~trans(s199, s69)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25370, 25368])).
% 24.52/24.92 tff(25372,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s69)) | (~always25(s199)) | always25(s69))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25373,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s69) | (~trans(s199, s69))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 24.52/24.92 tff(25374,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25373, 23761, 6146, 25193, 25367])).
% 24.52/24.92 tff(25375,plain,(~trans(s199, s69)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25376,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s129, s130)) | (~always25(s129)) | always25(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s129, s130)) | (~always25(s129)) | always25(s130))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25377,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s129, s130)) | (~always25(s129)) | always25(s130))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25378,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s129, s130)) | (~always25(s129)) | always25(s130)),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25377, 25376])).
% 24.52/24.92 tff(25379,plain,
% 24.52/24.92 ((~always25(s129)) | always25(s130)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25378, 6146, 10682])).
% 24.52/24.92 tff(25380,plain,
% 24.52/24.92 (~always25(s129)),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25379, 16456])).
% 24.52/24.92 tff(25381,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s129) | (~trans(s199, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s129) | (~trans(s199, s129)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25382,plain,
% 24.52/24.92 (((~trans(s199, s129)) | (~always25(s199)) | always25(s129)) <=> ((~always25(s199)) | always25(s129) | (~trans(s199, s129)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25383,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s129)) | (~always25(s199)) | always25(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s129) | (~trans(s199, s129))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25382])).
% 24.52/24.92 tff(25384,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s129)) | (~always25(s199)) | always25(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s129) | (~trans(s199, s129)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25383, 25381])).
% 24.52/24.92 tff(25385,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s129)) | (~always25(s199)) | always25(s129))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25386,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s129) | (~trans(s199, s129))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25385, 25384])).
% 24.52/24.92 tff(25387,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25386, 23772, 6146, 25193, 25380])).
% 24.52/24.92 tff(25388,plain,(~trans(s199, s129)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25389,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s146) | (~trans(s199, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s146) | (~trans(s199, s146)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25390,plain,
% 24.52/24.92 (((~trans(s199, s146)) | (~always25(s199)) | always25(s146)) <=> ((~always25(s199)) | always25(s146) | (~trans(s199, s146)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25391,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s146)) | (~always25(s199)) | always25(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s146) | (~trans(s199, s146))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25390])).
% 24.52/24.92 tff(25392,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s146)) | (~always25(s199)) | always25(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s146) | (~trans(s199, s146)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25391, 25389])).
% 24.52/24.92 tff(25393,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s146)) | (~always25(s199)) | always25(s146))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25394,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s146) | (~trans(s199, s146))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25393, 25392])).
% 24.52/24.92 tff(25395,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25394, 23783, 6146, 25193, 16340])).
% 24.52/24.92 tff(25396,plain,(~trans(s199, s146)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25397,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s175) | (~trans(s199, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s175) | (~trans(s199, s175)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25398,plain,
% 24.52/24.92 (((~trans(s199, s175)) | (~always25(s199)) | always25(s175)) <=> ((~always25(s199)) | always25(s175) | (~trans(s199, s175)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25399,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s175)) | (~always25(s199)) | always25(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s175) | (~trans(s199, s175))))),
% 24.52/24.92 inference(monotonicity,[status(thm)],[25398])).
% 24.52/24.92 tff(25400,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s175)) | (~always25(s199)) | always25(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s175) | (~trans(s199, s175)))),
% 24.52/24.92 inference(transitivity,[status(thm)],[25399, 25397])).
% 24.52/24.92 tff(25401,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s175)) | (~always25(s199)) | always25(s175))),
% 24.52/24.92 inference(quant_inst,[status(thm)],[])).
% 24.52/24.92 tff(25402,plain,
% 24.52/24.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s175) | (~trans(s199, s175))),
% 24.52/24.92 inference(modus_ponens,[status(thm)],[25401, 25400])).
% 24.52/24.92 tff(25403,plain,
% 24.52/24.92 ($false),
% 24.52/24.92 inference(unit_resolution,[status(thm)],[25402, 23794, 6146, 25193, 16128])).
% 24.52/24.92 tff(25404,plain,(~trans(s199, s175)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.92 tff(25405,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s14) | (~trans(s199, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s14) | (~trans(s199, s14)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25406,plain,
% 24.52/24.92 (((~trans(s199, s14)) | (~always25(s199)) | always25(s14)) <=> ((~always25(s199)) | always25(s14) | (~trans(s199, s14)))),
% 24.52/24.92 inference(rewrite,[status(thm)],[])).
% 24.52/24.92 tff(25407,plain,
% 24.52/24.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s14)) | (~always25(s199)) | always25(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s14) | (~trans(s199, s14))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25406])).
% 24.52/24.93 tff(25408,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s14)) | (~always25(s199)) | always25(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s14) | (~trans(s199, s14)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25407, 25405])).
% 24.52/24.93 tff(25409,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s14)) | (~always25(s199)) | always25(s14))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25410,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s14) | (~trans(s199, s14))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 24.52/24.93 tff(25411,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25410, 23805, 6146, 25193, 17290])).
% 24.52/24.93 tff(25412,plain,(~trans(s199, s14)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25413,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s177, s178)) | (~always25(s177)) | always25(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s177, s178)) | (~always25(s177)) | always25(s178))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25414,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s177, s178)) | (~always25(s177)) | always25(s178))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25415,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s177, s178)) | (~always25(s177)) | always25(s178)),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 24.52/24.93 tff(25416,plain,
% 24.52/24.93 ((~always25(s177)) | always25(s178)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25415, 6146, 14450])).
% 24.52/24.93 tff(25417,plain,
% 24.52/24.93 (~always25(s177)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25416, 16108])).
% 24.52/24.93 tff(25418,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s177) | (~trans(s199, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s177) | (~trans(s199, s177)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25419,plain,
% 24.52/24.93 (((~trans(s199, s177)) | (~always25(s199)) | always25(s177)) <=> ((~always25(s199)) | always25(s177) | (~trans(s199, s177)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25420,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s177)) | (~always25(s199)) | always25(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s177) | (~trans(s199, s177))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25419])).
% 24.52/24.93 tff(25421,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s177)) | (~always25(s199)) | always25(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s177) | (~trans(s199, s177)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25420, 25418])).
% 24.52/24.93 tff(25422,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s177)) | (~always25(s199)) | always25(s177))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25423,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s177) | (~trans(s199, s177))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25422, 25421])).
% 24.52/24.93 tff(25424,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25423, 23816, 6146, 25193, 25417])).
% 24.52/24.93 tff(25425,plain,(~trans(s199, s177)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25426,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s19) | (~trans(s199, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s19) | (~trans(s199, s19)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25427,plain,
% 24.52/24.93 (((~trans(s199, s19)) | (~always25(s199)) | always25(s19)) <=> ((~always25(s199)) | always25(s19) | (~trans(s199, s19)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25428,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s19)) | (~always25(s199)) | always25(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s19) | (~trans(s199, s19))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25427])).
% 24.52/24.93 tff(25429,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s19)) | (~always25(s199)) | always25(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s19) | (~trans(s199, s19)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25428, 25426])).
% 24.52/24.93 tff(25430,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s19)) | (~always25(s199)) | always25(s19))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25431,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s19) | (~trans(s199, s19))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25430, 25429])).
% 24.52/24.93 tff(25432,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25431, 23827, 6146, 25193, 17252])).
% 24.52/24.93 tff(25433,plain,(~trans(s199, s19)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25434,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s143) | (~trans(s199, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s143) | (~trans(s199, s143)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25435,plain,
% 24.52/24.93 (((~trans(s199, s143)) | (~always25(s199)) | always25(s143)) <=> ((~always25(s199)) | always25(s143) | (~trans(s199, s143)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25436,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s143)) | (~always25(s199)) | always25(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s143) | (~trans(s199, s143))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25435])).
% 24.52/24.93 tff(25437,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s143)) | (~always25(s199)) | always25(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s143) | (~trans(s199, s143)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25436, 25434])).
% 24.52/24.93 tff(25438,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s143)) | (~always25(s199)) | always25(s143))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25439,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s143) | (~trans(s199, s143))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25438, 25437])).
% 24.52/24.93 tff(25440,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25439, 23838, 6146, 25193, 16360])).
% 24.52/24.93 tff(25441,plain,(~trans(s199, s143)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25442,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s115) | (~trans(s199, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s115) | (~trans(s199, s115)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25443,plain,
% 24.52/24.93 (((~trans(s199, s115)) | (~always25(s199)) | always25(s115)) <=> ((~always25(s199)) | always25(s115) | (~trans(s199, s115)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25444,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s115)) | (~always25(s199)) | always25(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s115) | (~trans(s199, s115))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25443])).
% 24.52/24.93 tff(25445,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s115)) | (~always25(s199)) | always25(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s115) | (~trans(s199, s115)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25444, 25442])).
% 24.52/24.93 tff(25446,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s115)) | (~always25(s199)) | always25(s115))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25447,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s115) | (~trans(s199, s115))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25446, 25445])).
% 24.52/24.93 tff(25448,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25447, 23849, 6146, 25193, 16563])).
% 24.52/24.93 tff(25449,plain,(~trans(s199, s115)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25450,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s159) | (~trans(s199, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s159) | (~trans(s199, s159)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25451,plain,
% 24.52/24.93 (((~trans(s199, s159)) | (~always25(s199)) | always25(s159)) <=> ((~always25(s199)) | always25(s159) | (~trans(s199, s159)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25452,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s159)) | (~always25(s199)) | always25(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s159) | (~trans(s199, s159))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25451])).
% 24.52/24.93 tff(25453,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s159)) | (~always25(s199)) | always25(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s159) | (~trans(s199, s159)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25452, 25450])).
% 24.52/24.93 tff(25454,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s159)) | (~always25(s199)) | always25(s159))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25455,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s159) | (~trans(s199, s159))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25454, 25453])).
% 24.52/24.93 tff(25456,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25455, 23860, 6146, 25193, 16244])).
% 24.52/24.93 tff(25457,plain,(~trans(s199, s159)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25458,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s161, s162)) | (~always25(s161)) | always25(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s161, s162)) | (~always25(s161)) | always25(s162))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25459,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s161, s162)) | (~always25(s161)) | always25(s162))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25460,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s161, s162)) | (~always25(s161)) | always25(s162)),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25459, 25458])).
% 24.52/24.93 tff(25461,plain,
% 24.52/24.93 ((~always25(s161)) | always25(s162)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25460, 6146, 13194])).
% 24.52/24.93 tff(25462,plain,
% 24.52/24.93 (~always25(s161)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25461, 16224])).
% 24.52/24.93 tff(25463,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s161) | (~trans(s199, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s161) | (~trans(s199, s161)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25464,plain,
% 24.52/24.93 (((~trans(s199, s161)) | (~always25(s199)) | always25(s161)) <=> ((~always25(s199)) | always25(s161) | (~trans(s199, s161)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25465,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s161)) | (~always25(s199)) | always25(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s161) | (~trans(s199, s161))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25464])).
% 24.52/24.93 tff(25466,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s161)) | (~always25(s199)) | always25(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s161) | (~trans(s199, s161)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25465, 25463])).
% 24.52/24.93 tff(25467,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s161)) | (~always25(s199)) | always25(s161))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25468,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s161) | (~trans(s199, s161))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 24.52/24.93 tff(25469,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25468, 23871, 6146, 25193, 25462])).
% 24.52/24.93 tff(25470,plain,(~trans(s199, s161)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25471,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s10) | (~trans(s199, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s10) | (~trans(s199, s10)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25472,plain,
% 24.52/24.93 (((~trans(s199, s10)) | (~always25(s199)) | always25(s10)) <=> ((~always25(s199)) | always25(s10) | (~trans(s199, s10)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25473,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s10)) | (~always25(s199)) | always25(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s10) | (~trans(s199, s10))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25472])).
% 24.52/24.93 tff(25474,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s10)) | (~always25(s199)) | always25(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s10) | (~trans(s199, s10)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25473, 25471])).
% 24.52/24.93 tff(25475,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s10)) | (~always25(s199)) | always25(s10))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25476,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s10) | (~trans(s199, s10))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 24.52/24.93 tff(25477,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25476, 23882, 6146, 25193, 17319])).
% 24.52/24.93 tff(25478,plain,(~trans(s199, s10)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25479,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s184) | (~trans(s199, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s184) | (~trans(s199, s184)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25480,plain,
% 24.52/24.93 (((~trans(s199, s184)) | (~always25(s199)) | always25(s184)) <=> ((~always25(s199)) | always25(s184) | (~trans(s199, s184)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25481,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s184)) | (~always25(s199)) | always25(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s184) | (~trans(s199, s184))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25480])).
% 24.52/24.93 tff(25482,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s184)) | (~always25(s199)) | always25(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s184) | (~trans(s199, s184)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25481, 25479])).
% 24.52/24.93 tff(25483,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s184)) | (~always25(s199)) | always25(s184))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25484,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s184) | (~trans(s199, s184))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 24.52/24.93 tff(25485,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25484, 23893, 6146, 25193, 16065])).
% 24.52/24.93 tff(25486,plain,(~trans(s199, s184)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25487,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s178) | (~trans(s199, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s178) | (~trans(s199, s178)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25488,plain,
% 24.52/24.93 (((~trans(s199, s178)) | (~always25(s199)) | always25(s178)) <=> ((~always25(s199)) | always25(s178) | (~trans(s199, s178)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25489,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s178)) | (~always25(s199)) | always25(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s178) | (~trans(s199, s178))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25488])).
% 24.52/24.93 tff(25490,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s178)) | (~always25(s199)) | always25(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s178) | (~trans(s199, s178)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25489, 25487])).
% 24.52/24.93 tff(25491,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s178)) | (~always25(s199)) | always25(s178))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25492,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s178) | (~trans(s199, s178))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25491, 25490])).
% 24.52/24.93 tff(25493,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25492, 23904, 6146, 25193, 16108])).
% 24.52/24.93 tff(25494,plain,(~trans(s199, s178)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25495,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s63) | (~trans(s199, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s63) | (~trans(s199, s63)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25496,plain,
% 24.52/24.93 (((~trans(s199, s63)) | (~always25(s199)) | always25(s63)) <=> ((~always25(s199)) | always25(s63) | (~trans(s199, s63)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25497,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s63)) | (~always25(s199)) | always25(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s63) | (~trans(s199, s63))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25496])).
% 24.52/24.93 tff(25498,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s63)) | (~always25(s199)) | always25(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s63) | (~trans(s199, s63)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25497, 25495])).
% 24.52/24.93 tff(25499,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s63)) | (~always25(s199)) | always25(s63))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25500,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s63) | (~trans(s199, s63))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25499, 25498])).
% 24.52/24.93 tff(25501,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25500, 23915, 6146, 25193, 16933])).
% 24.52/24.93 tff(25502,plain,(~trans(s199, s63)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25503,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s160) | (~trans(s199, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s160) | (~trans(s199, s160)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25504,plain,
% 24.52/24.93 (((~trans(s199, s160)) | (~always25(s199)) | always25(s160)) <=> ((~always25(s199)) | always25(s160) | (~trans(s199, s160)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25505,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s160)) | (~always25(s199)) | always25(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s160) | (~trans(s199, s160))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25504])).
% 24.52/24.93 tff(25506,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s160)) | (~always25(s199)) | always25(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s160) | (~trans(s199, s160)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25505, 25503])).
% 24.52/24.93 tff(25507,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s160)) | (~always25(s199)) | always25(s160))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25508,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s160) | (~trans(s199, s160))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25507, 25506])).
% 24.52/24.93 tff(25509,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25508, 23926, 6146, 25193, 16239])).
% 24.52/24.93 tff(25510,plain,(~trans(s199, s160)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25511,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s97, s98)) | (~always25(s97)) | always25(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s97, s98)) | (~always25(s97)) | always25(s98))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25512,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s97, s98)) | (~always25(s97)) | always25(s98))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25513,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s97, s98)) | (~always25(s97)) | always25(s98)),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25512, 25511])).
% 24.52/24.93 tff(25514,plain,
% 24.52/24.93 ((~always25(s97)) | always25(s98)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25513, 6146, 8170])).
% 24.52/24.93 tff(25515,plain,
% 24.52/24.93 (~always25(s97)),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25514, 16688])).
% 24.52/24.93 tff(25516,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s97) | (~trans(s199, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s97) | (~trans(s199, s97)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25517,plain,
% 24.52/24.93 (((~trans(s199, s97)) | (~always25(s199)) | always25(s97)) <=> ((~always25(s199)) | always25(s97) | (~trans(s199, s97)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25518,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s97)) | (~always25(s199)) | always25(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s97) | (~trans(s199, s97))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25517])).
% 24.52/24.93 tff(25519,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s97)) | (~always25(s199)) | always25(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s97) | (~trans(s199, s97)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25518, 25516])).
% 24.52/24.93 tff(25520,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s97)) | (~always25(s199)) | always25(s97))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25521,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s97) | (~trans(s199, s97))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25520, 25519])).
% 24.52/24.93 tff(25522,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25521, 24036, 6146, 25193, 25515])).
% 24.52/24.93 tff(25523,plain,(~trans(s199, s97)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25524,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s192) | (~trans(s199, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s192) | (~trans(s199, s192)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25525,plain,
% 24.52/24.93 (((~trans(s199, s192)) | (~always25(s199)) | always25(s192)) <=> ((~always25(s199)) | always25(s192) | (~trans(s199, s192)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25526,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s192)) | (~always25(s199)) | always25(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s192) | (~trans(s199, s192))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25525])).
% 24.52/24.93 tff(25527,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s192)) | (~always25(s199)) | always25(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s192) | (~trans(s199, s192)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25526, 25524])).
% 24.52/24.93 tff(25528,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s192)) | (~always25(s199)) | always25(s192))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25529,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s192) | (~trans(s199, s192))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25528, 25527])).
% 24.52/24.93 tff(25530,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25529, 24025, 6146, 25193, 16007])).
% 24.52/24.93 tff(25531,plain,(~trans(s199, s192)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25532,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s195) | (~trans(s199, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s195) | (~trans(s199, s195)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25533,plain,
% 24.52/24.93 (((~trans(s199, s195)) | (~always25(s199)) | always25(s195)) <=> ((~always25(s199)) | always25(s195) | (~trans(s199, s195)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25534,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s195)) | (~always25(s199)) | always25(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s195) | (~trans(s199, s195))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25533])).
% 24.52/24.93 tff(25535,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s195)) | (~always25(s199)) | always25(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s195) | (~trans(s199, s195)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25534, 25532])).
% 24.52/24.93 tff(25536,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s195)) | (~always25(s199)) | always25(s195))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25537,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s195) | (~trans(s199, s195))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25536, 25535])).
% 24.52/24.93 tff(25538,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25537, 24014, 6146, 25193, 15983])).
% 24.52/24.93 tff(25539,plain,(~trans(s199, s195)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25540,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s15) | (~trans(s199, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s15) | (~trans(s199, s15)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25541,plain,
% 24.52/24.93 (((~trans(s199, s15)) | (~always25(s199)) | always25(s15)) <=> ((~always25(s199)) | always25(s15) | (~trans(s199, s15)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25542,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s15)) | (~always25(s199)) | always25(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s15) | (~trans(s199, s15))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25541])).
% 24.52/24.93 tff(25543,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s15)) | (~always25(s199)) | always25(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s15) | (~trans(s199, s15)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25542, 25540])).
% 24.52/24.93 tff(25544,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s15)) | (~always25(s199)) | always25(s15))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25545,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s15) | (~trans(s199, s15))),
% 24.52/24.93 inference(modus_ponens,[status(thm)],[25544, 25543])).
% 24.52/24.93 tff(25546,plain,
% 24.52/24.93 ($false),
% 24.52/24.93 inference(unit_resolution,[status(thm)],[25545, 24003, 6146, 25193, 17281])).
% 24.52/24.93 tff(25547,plain,(~trans(s199, s15)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.93 tff(25548,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s100) | (~trans(s199, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s100) | (~trans(s199, s100)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25549,plain,
% 24.52/24.93 (((~trans(s199, s100)) | (~always25(s199)) | always25(s100)) <=> ((~always25(s199)) | always25(s100) | (~trans(s199, s100)))),
% 24.52/24.93 inference(rewrite,[status(thm)],[])).
% 24.52/24.93 tff(25550,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s100)) | (~always25(s199)) | always25(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s100) | (~trans(s199, s100))))),
% 24.52/24.93 inference(monotonicity,[status(thm)],[25549])).
% 24.52/24.93 tff(25551,plain,
% 24.52/24.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s100)) | (~always25(s199)) | always25(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s100) | (~trans(s199, s100)))),
% 24.52/24.93 inference(transitivity,[status(thm)],[25550, 25548])).
% 24.52/24.93 tff(25552,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s100)) | (~always25(s199)) | always25(s100))),
% 24.52/24.93 inference(quant_inst,[status(thm)],[])).
% 24.52/24.93 tff(25553,plain,
% 24.52/24.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s100) | (~trans(s199, s100))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 24.52/24.94 tff(25554,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25553, 23992, 6146, 25193, 16674])).
% 24.52/24.94 tff(25555,plain,(~trans(s199, s100)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25556,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s21, s22)) | (~always25(s21)) | always25(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s21, s22)) | (~always25(s21)) | always25(s22))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25557,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s21, s22)) | (~always25(s21)) | always25(s22))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25558,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s21, s22)) | (~always25(s21)) | always25(s22)),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25557, 25556])).
% 24.52/24.94 tff(25559,plain,
% 24.52/24.94 ((~always25(s21)) | always25(s22)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25558, 6146, 2145])).
% 24.52/24.94 tff(25560,plain,
% 24.52/24.94 (~always25(s21)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25559, 17232])).
% 24.52/24.94 tff(25561,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s21) | (~trans(s199, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s21) | (~trans(s199, s21)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25562,plain,
% 24.52/24.94 (((~trans(s199, s21)) | (~always25(s199)) | always25(s21)) <=> ((~always25(s199)) | always25(s21) | (~trans(s199, s21)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25563,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s21)) | (~always25(s199)) | always25(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s21) | (~trans(s199, s21))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25562])).
% 24.52/24.94 tff(25564,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s21)) | (~always25(s199)) | always25(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s21) | (~trans(s199, s21)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25563, 25561])).
% 24.52/24.94 tff(25565,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s21)) | (~always25(s199)) | always25(s21))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25566,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s21) | (~trans(s199, s21))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25565, 25564])).
% 24.52/24.94 tff(25567,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25566, 23981, 6146, 25193, 25560])).
% 24.52/24.94 tff(25568,plain,(~trans(s199, s21)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25569,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s58) | (~trans(s199, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s58) | (~trans(s199, s58)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25570,plain,
% 24.52/24.94 (((~trans(s199, s58)) | (~always25(s199)) | always25(s58)) <=> ((~always25(s199)) | always25(s58) | (~trans(s199, s58)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25571,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s58)) | (~always25(s199)) | always25(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s58) | (~trans(s199, s58))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25570])).
% 24.52/24.94 tff(25572,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s58)) | (~always25(s199)) | always25(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s58) | (~trans(s199, s58)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25571, 25569])).
% 24.52/24.94 tff(25573,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s58)) | (~always25(s199)) | always25(s58))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25574,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s58) | (~trans(s199, s58))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25573, 25572])).
% 24.52/24.94 tff(25575,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25574, 23970, 6146, 25193, 16971])).
% 24.52/24.94 tff(25576,plain,(~trans(s199, s58)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25577,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s55) | (~trans(s199, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s55) | (~trans(s199, s55)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25578,plain,
% 24.52/24.94 (((~trans(s199, s55)) | (~always25(s199)) | always25(s55)) <=> ((~always25(s199)) | always25(s55) | (~trans(s199, s55)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25579,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s55)) | (~always25(s199)) | always25(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s55) | (~trans(s199, s55))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25578])).
% 24.52/24.94 tff(25580,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s55)) | (~always25(s199)) | always25(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s55) | (~trans(s199, s55)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25579, 25577])).
% 24.52/24.94 tff(25581,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s55)) | (~always25(s199)) | always25(s55))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25582,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s55) | (~trans(s199, s55))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25581, 25580])).
% 24.52/24.94 tff(25583,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25582, 23959, 6146, 25193, 16991])).
% 24.52/24.94 tff(25584,plain,(~trans(s199, s55)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25585,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s151) | (~trans(s199, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s151) | (~trans(s199, s151)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25586,plain,
% 24.52/24.94 (((~trans(s199, s151)) | (~always25(s199)) | always25(s151)) <=> ((~always25(s199)) | always25(s151) | (~trans(s199, s151)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25587,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s151)) | (~always25(s199)) | always25(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s151) | (~trans(s199, s151))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25586])).
% 24.52/24.94 tff(25588,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s151)) | (~always25(s199)) | always25(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s151) | (~trans(s199, s151)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25587, 25585])).
% 24.52/24.94 tff(25589,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s151)) | (~always25(s199)) | always25(s151))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25590,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s151) | (~trans(s199, s151))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25589, 25588])).
% 24.52/24.94 tff(25591,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25590, 23948, 6146, 25193, 16302])).
% 24.52/24.94 tff(25592,plain,(~trans(s199, s151)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25593,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s29, s30)) | (~always25(s29)) | always25(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s29, s30)) | (~always25(s29)) | always25(s30))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25594,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s29, s30)) | (~always25(s29)) | always25(s30))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25595,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s29, s30)) | (~always25(s29)) | always25(s30)),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25594, 25593])).
% 24.52/24.94 tff(25596,plain,
% 24.52/24.94 ((~always25(s29)) | always25(s30)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25595, 6146, 2773])).
% 24.52/24.94 tff(25597,plain,
% 24.52/24.94 (~always25(s29)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25596, 17174])).
% 24.52/24.94 tff(25598,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s29) | (~trans(s199, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s29) | (~trans(s199, s29)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25599,plain,
% 24.52/24.94 (((~trans(s199, s29)) | (~always25(s199)) | always25(s29)) <=> ((~always25(s199)) | always25(s29) | (~trans(s199, s29)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25600,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s29)) | (~always25(s199)) | always25(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s29) | (~trans(s199, s29))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25599])).
% 24.52/24.94 tff(25601,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s29)) | (~always25(s199)) | always25(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s29) | (~trans(s199, s29)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25600, 25598])).
% 24.52/24.94 tff(25602,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s29)) | (~always25(s199)) | always25(s29))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25603,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s29) | (~trans(s199, s29))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 24.52/24.94 tff(25604,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25603, 23937, 6146, 25193, 25597])).
% 24.52/24.94 tff(25605,plain,(~trans(s199, s29)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25606,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s3) | (~trans(s199, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s3) | (~trans(s199, s3)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25607,plain,
% 24.52/24.94 (((~trans(s199, s3)) | (~always25(s199)) | always25(s3)) <=> ((~always25(s199)) | always25(s3) | (~trans(s199, s3)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25608,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s3)) | (~always25(s199)) | always25(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s3) | (~trans(s199, s3))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25607])).
% 24.52/24.94 tff(25609,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s3)) | (~always25(s199)) | always25(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s3) | (~trans(s199, s3)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25608, 25606])).
% 24.52/24.94 tff(25610,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s3)) | (~always25(s199)) | always25(s3))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25611,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s3) | (~trans(s199, s3))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25610, 25609])).
% 24.52/24.94 tff(25612,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25611, 23750, 6146, 25193, 17368])).
% 24.52/24.94 tff(25613,plain,(~trans(s199, s3)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25614,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s53, s54)) | (~always25(s53)) | always25(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s53, s54)) | (~always25(s53)) | always25(s54))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25615,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s53, s54)) | (~always25(s53)) | always25(s54))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25616,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s53, s54)) | (~always25(s53)) | always25(s54)),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 24.52/24.94 tff(25617,plain,
% 24.52/24.94 ((~always25(s53)) | always25(s54)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25616, 6146, 4657])).
% 24.52/24.94 tff(25618,plain,
% 24.52/24.94 (~always25(s53)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25617, 17000])).
% 24.52/24.94 tff(25619,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s53) | (~trans(s199, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s53) | (~trans(s199, s53)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25620,plain,
% 24.52/24.94 (((~trans(s199, s53)) | (~always25(s199)) | always25(s53)) <=> ((~always25(s199)) | always25(s53) | (~trans(s199, s53)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25621,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s53)) | (~always25(s199)) | always25(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s53) | (~trans(s199, s53))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25620])).
% 24.52/24.94 tff(25622,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s53)) | (~always25(s199)) | always25(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s53) | (~trans(s199, s53)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25621, 25619])).
% 24.52/24.94 tff(25623,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s53)) | (~always25(s199)) | always25(s53))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25624,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s53) | (~trans(s199, s53))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25623, 25622])).
% 24.52/24.94 tff(25625,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25624, 23739, 6146, 25193, 25618])).
% 24.52/24.94 tff(25626,plain,(~trans(s199, s53)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25627,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s22) | (~trans(s199, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s22) | (~trans(s199, s22)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25628,plain,
% 24.52/24.94 (((~trans(s199, s22)) | (~always25(s199)) | always25(s22)) <=> ((~always25(s199)) | always25(s22) | (~trans(s199, s22)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25629,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s22)) | (~always25(s199)) | always25(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s22) | (~trans(s199, s22))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25628])).
% 24.52/24.94 tff(25630,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s22)) | (~always25(s199)) | always25(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s22) | (~trans(s199, s22)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25629, 25627])).
% 24.52/24.94 tff(25631,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s22)) | (~always25(s199)) | always25(s22))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25632,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s22) | (~trans(s199, s22))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25631, 25630])).
% 24.52/24.94 tff(25633,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25632, 23728, 6146, 25193, 17232])).
% 24.52/24.94 tff(25634,plain,(~trans(s199, s22)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25635,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s92) | (~trans(s199, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s92) | (~trans(s199, s92)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25636,plain,
% 24.52/24.94 (((~trans(s199, s92)) | (~always25(s199)) | always25(s92)) <=> ((~always25(s199)) | always25(s92) | (~trans(s199, s92)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25637,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s92)) | (~always25(s199)) | always25(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s92) | (~trans(s199, s92))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25636])).
% 24.52/24.94 tff(25638,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s92)) | (~always25(s199)) | always25(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s92) | (~trans(s199, s92)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25637, 25635])).
% 24.52/24.94 tff(25639,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s92)) | (~always25(s199)) | always25(s92))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25640,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s92) | (~trans(s199, s92))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 24.52/24.94 tff(25641,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25640, 23365, 6146, 25193, 16732])).
% 24.52/24.94 tff(25642,plain,(~trans(s199, s92)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25643,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s103) | (~trans(s199, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s103) | (~trans(s199, s103)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25644,plain,
% 24.52/24.94 (((~trans(s199, s103)) | (~always25(s199)) | always25(s103)) <=> ((~always25(s199)) | always25(s103) | (~trans(s199, s103)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25645,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s103)) | (~always25(s199)) | always25(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s103) | (~trans(s199, s103))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25644])).
% 24.52/24.94 tff(25646,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s103)) | (~always25(s199)) | always25(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s103) | (~trans(s199, s103)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25645, 25643])).
% 24.52/24.94 tff(25647,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s103)) | (~always25(s199)) | always25(s103))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25648,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s103) | (~trans(s199, s103))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25647, 25646])).
% 24.52/24.94 tff(25649,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25648, 23354, 6146, 25193, 16650])).
% 24.52/24.94 tff(25650,plain,(~trans(s199, s103)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25651,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s155) | (~trans(s199, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s155) | (~trans(s199, s155)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25652,plain,
% 24.52/24.94 (((~trans(s199, s155)) | (~always25(s199)) | always25(s155)) <=> ((~always25(s199)) | always25(s155) | (~trans(s199, s155)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25653,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s155)) | (~always25(s199)) | always25(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s155) | (~trans(s199, s155))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25652])).
% 24.52/24.94 tff(25654,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s155)) | (~always25(s199)) | always25(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s155) | (~trans(s199, s155)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25653, 25651])).
% 24.52/24.94 tff(25655,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s155)) | (~always25(s199)) | always25(s155))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25656,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s155) | (~trans(s199, s155))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25655, 25654])).
% 24.52/24.94 tff(25657,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25656, 23343, 6146, 25193, 16273])).
% 24.52/24.94 tff(25658,plain,(~trans(s199, s155)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25659,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s82) | (~trans(s199, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s82) | (~trans(s199, s82)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25660,plain,
% 24.52/24.94 (((~trans(s199, s82)) | (~always25(s199)) | always25(s82)) <=> ((~always25(s199)) | always25(s82) | (~trans(s199, s82)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25661,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s82)) | (~always25(s199)) | always25(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s82) | (~trans(s199, s82))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25660])).
% 24.52/24.94 tff(25662,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s82)) | (~always25(s199)) | always25(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s82) | (~trans(s199, s82)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25661, 25659])).
% 24.52/24.94 tff(25663,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s82)) | (~always25(s199)) | always25(s82))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25664,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s82) | (~trans(s199, s82))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25663, 25662])).
% 24.52/24.94 tff(25665,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25664, 23332, 6146, 25193, 16804])).
% 24.52/24.94 tff(25666,plain,(~trans(s199, s82)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25667,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s156) | (~trans(s199, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s156) | (~trans(s199, s156)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25668,plain,
% 24.52/24.94 (((~trans(s199, s156)) | (~always25(s199)) | always25(s156)) <=> ((~always25(s199)) | always25(s156) | (~trans(s199, s156)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25669,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s156)) | (~always25(s199)) | always25(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s156) | (~trans(s199, s156))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25668])).
% 24.52/24.94 tff(25670,plain,
% 24.52/24.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s156)) | (~always25(s199)) | always25(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s156) | (~trans(s199, s156)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25669, 25667])).
% 24.52/24.94 tff(25671,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s156)) | (~always25(s199)) | always25(s156))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25672,plain,
% 24.52/24.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s156) | (~trans(s199, s156))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 24.52/24.94 tff(25673,plain,
% 24.52/24.94 ($false),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25672, 23321, 6146, 25193, 16268])).
% 24.52/24.94 tff(25674,plain,(~trans(s199, s156)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.94 tff(25675,assumption,(node14(s199, s197)), introduced(assumption)).
% 24.52/24.94 tff(25676,plain,
% 24.52/24.94 (((~![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(s198, c_n2) | (~node13(s198, s199)) | (~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) | (~node13(s198, s199)) | (~m_main_v_state2(s199, c_n2)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25677,plain,
% 24.52/24.94 (((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2))) <=> (m_main_v_state2(s198, c_n2) | (~node13(s198, s199)) | (~m_main_v_state2(s199, c_n2)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25678,plain,
% 24.52/24.94 (((~![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) | (~node13(s198, s199)) | (~m_main_v_state2(s199, c_n2))))),
% 24.52/24.94 inference(monotonicity,[status(thm)],[25677])).
% 24.52/24.94 tff(25679,plain,
% 24.52/24.94 (((~![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) | (~node13(s198, s199)) | (~m_main_v_state2(s199, c_n2)))),
% 24.52/24.94 inference(transitivity,[status(thm)],[25678, 25676])).
% 24.52/24.94 tff(25680,plain,
% 24.52/24.94 ((~![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)))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25681,plain,
% 24.52/24.94 ((~![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(s198, c_n2) | (~node13(s198, s199)) | (~m_main_v_state2(s199, c_n2))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25680, 25679])).
% 24.52/24.94 tff(25682,plain,
% 24.52/24.94 (~m_main_v_state2(s199, c_n2)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25681, 416, 24441, 24523])).
% 24.52/24.94 tff(25683,plain,
% 24.52/24.94 (((~![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)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25684,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25685,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25684, 25683])).
% 24.52/24.94 tff(25686,plain,
% 24.52/24.94 (~node8(s199)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25685, 383, 25682])).
% 24.52/24.94 tff(25687,plain,
% 24.52/24.94 (((~![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)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25688,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25689,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 24.52/24.94 tff(25690,plain,
% 24.52/24.94 (~node9(s199)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25689, 311, 25682])).
% 24.52/24.94 tff(25691,plain,
% 24.52/24.94 (((~![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)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25692,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 24.52/24.94 inference(quant_inst,[status(thm)],[])).
% 24.52/24.94 tff(25693,plain,
% 24.52/24.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199))),
% 24.52/24.94 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 24.52/24.94 tff(25694,plain,
% 24.52/24.94 (~node10(s199)),
% 24.52/24.94 inference(unit_resolution,[status(thm)],[25693, 372, 25682])).
% 24.52/24.94 tff(25695,plain,
% 24.52/24.94 (((~![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_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | m_main_v_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25696,plain,
% 24.52/24.94 (((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s197)) | m_main_v_state2(s197, c_c2)) <=> (m_main_v_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197)))),
% 24.52/24.94 inference(rewrite,[status(thm)],[])).
% 24.52/24.94 tff(25697,plain,
% 24.52/24.94 (((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s197)) | m_main_v_state2(s197, 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_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25696])).
% 24.52/24.95 tff(25698,plain,
% 24.52/24.95 (((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s197)) | m_main_v_state2(s197, 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_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25697, 25695])).
% 24.52/24.95 tff(25699,plain,
% 24.52/24.95 ((~![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(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s197)) | m_main_v_state2(s197, c_c2))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25700,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | m_main_v_state2(s197, c_c2) | (~m_main_v_state1(s199, c_n1)) | node10(s199) | node9(s199) | node8(s199) | (~m_main_v_state2(s199, c_t2)) | (~node14(s199, s197))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25699, 25698])).
% 24.52/24.95 tff(25701,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25700, 704, 24336, 24530, 24474, 25694, 25690, 25686, 25675])).
% 24.52/24.95 tff(25702,plain,(~node14(s199, s197)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25703,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s197)) | node14(s199, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s197)) | node14(s199, s197))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25704,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s197)) | node14(s199, s197))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25705,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s197)) | node14(s199, s197)),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25704, 25703])).
% 24.52/24.95 tff(25706,plain,
% 24.52/24.95 (~trans(s199, s197)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25705, 130, 25702])).
% 24.52/24.95 tff(25707,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s94) | (~trans(s199, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s94) | (~trans(s199, s94)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25708,plain,
% 24.52/24.95 (((~trans(s199, s94)) | (~always25(s199)) | always25(s94)) <=> ((~always25(s199)) | always25(s94) | (~trans(s199, s94)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25709,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s94)) | (~always25(s199)) | always25(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s94) | (~trans(s199, s94))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25708])).
% 24.52/24.95 tff(25710,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s94)) | (~always25(s199)) | always25(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s94) | (~trans(s199, s94)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25709, 25707])).
% 24.52/24.95 tff(25711,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s94)) | (~always25(s199)) | always25(s94))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25712,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s94) | (~trans(s199, s94))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25711, 25710])).
% 24.52/24.95 tff(25713,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25712, 23299, 6146, 25193, 16717])).
% 24.52/24.95 tff(25714,plain,(~trans(s199, s94)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25715,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s96) | (~trans(s199, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s96) | (~trans(s199, s96)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25716,plain,
% 24.52/24.95 (((~trans(s199, s96)) | (~always25(s199)) | always25(s96)) <=> ((~always25(s199)) | always25(s96) | (~trans(s199, s96)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25717,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s96)) | (~always25(s199)) | always25(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s96) | (~trans(s199, s96))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25716])).
% 24.52/24.95 tff(25718,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s96)) | (~always25(s199)) | always25(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s96) | (~trans(s199, s96)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25717, 25715])).
% 24.52/24.95 tff(25719,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s96)) | (~always25(s199)) | always25(s96))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25720,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s96) | (~trans(s199, s96))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25719, 25718])).
% 24.52/24.95 tff(25721,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25720, 23288, 6146, 25193, 16703])).
% 24.52/24.95 tff(25722,plain,(~trans(s199, s96)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25723,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s7) | (~trans(s199, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s7) | (~trans(s199, s7)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25724,plain,
% 24.52/24.95 (((~trans(s199, s7)) | (~always25(s199)) | always25(s7)) <=> ((~always25(s199)) | always25(s7) | (~trans(s199, s7)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25725,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s7)) | (~always25(s199)) | always25(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s7) | (~trans(s199, s7))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25724])).
% 24.52/24.95 tff(25726,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s7)) | (~always25(s199)) | always25(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s7) | (~trans(s199, s7)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25725, 25723])).
% 24.52/24.95 tff(25727,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s7)) | (~always25(s199)) | always25(s7))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25728,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s7) | (~trans(s199, s7))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 24.52/24.95 tff(25729,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25728, 23277, 6146, 25193, 17339])).
% 24.52/24.95 tff(25730,plain,(~trans(s199, s7)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25731,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s23) | (~trans(s199, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s23) | (~trans(s199, s23)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25732,plain,
% 24.52/24.95 (((~trans(s199, s23)) | (~always25(s199)) | always25(s23)) <=> ((~always25(s199)) | always25(s23) | (~trans(s199, s23)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25733,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s23)) | (~always25(s199)) | always25(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s23) | (~trans(s199, s23))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25732])).
% 24.52/24.95 tff(25734,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s23)) | (~always25(s199)) | always25(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s23) | (~trans(s199, s23)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25733, 25731])).
% 24.52/24.95 tff(25735,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s23)) | (~always25(s199)) | always25(s23))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25736,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s23) | (~trans(s199, s23))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25735, 25734])).
% 24.52/24.95 tff(25737,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25736, 23266, 6146, 25193, 17223])).
% 24.52/24.95 tff(25738,plain,(~trans(s199, s23)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25739,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s149, s150)) | (~always25(s149)) | always25(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s149, s150)) | (~always25(s149)) | always25(s150))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25740,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s149, s150)) | (~always25(s149)) | always25(s150))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25741,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s149, s150)) | (~always25(s149)) | always25(s150)),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25740, 25739])).
% 24.52/24.95 tff(25742,plain,
% 24.52/24.95 ((~always25(s149)) | always25(s150)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25741, 6146, 12271])).
% 24.52/24.95 tff(25743,plain,
% 24.52/24.95 (~always25(s149)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25742, 16311])).
% 24.52/24.95 tff(25744,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s149) | (~trans(s199, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s149) | (~trans(s199, s149)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25745,plain,
% 24.52/24.95 (((~trans(s199, s149)) | (~always25(s199)) | always25(s149)) <=> ((~always25(s199)) | always25(s149) | (~trans(s199, s149)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25746,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s149)) | (~always25(s199)) | always25(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s149) | (~trans(s199, s149))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25745])).
% 24.52/24.95 tff(25747,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s149)) | (~always25(s199)) | always25(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s149) | (~trans(s199, s149)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25746, 25744])).
% 24.52/24.95 tff(25748,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s149)) | (~always25(s199)) | always25(s149))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25749,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s149) | (~trans(s199, s149))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25748, 25747])).
% 24.52/24.95 tff(25750,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25749, 23255, 6146, 25193, 25743])).
% 24.52/24.95 tff(25751,plain,(~trans(s199, s149)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25752,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s128) | (~trans(s199, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s128) | (~trans(s199, s128)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25753,plain,
% 24.52/24.95 (((~trans(s199, s128)) | (~always25(s199)) | always25(s128)) <=> ((~always25(s199)) | always25(s128) | (~trans(s199, s128)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25754,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s128)) | (~always25(s199)) | always25(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s128) | (~trans(s199, s128))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25753])).
% 24.52/24.95 tff(25755,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s128)) | (~always25(s199)) | always25(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s128) | (~trans(s199, s128)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25754, 25752])).
% 24.52/24.95 tff(25756,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s128)) | (~always25(s199)) | always25(s128))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25757,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s128) | (~trans(s199, s128))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25756, 25755])).
% 24.52/24.95 tff(25758,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25757, 23079, 6146, 25193, 16471])).
% 24.52/24.95 tff(25759,plain,(~trans(s199, s128)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25760,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s25, s26)) | (~always25(s25)) | always25(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s25, s26)) | (~always25(s25)) | always25(s26))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25761,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s25, s26)) | (~always25(s25)) | always25(s26))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25762,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s25, s26)) | (~always25(s25)) | always25(s26)),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 24.52/24.95 tff(25763,plain,
% 24.52/24.95 ((~always25(s25)) | always25(s26)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25762, 6146, 2478])).
% 24.52/24.95 tff(25764,plain,
% 24.52/24.95 (~always25(s25)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25763, 17203])).
% 24.52/24.95 tff(25765,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s25) | (~trans(s199, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s25) | (~trans(s199, s25)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25766,plain,
% 24.52/24.95 (((~trans(s199, s25)) | (~always25(s199)) | always25(s25)) <=> ((~always25(s199)) | always25(s25) | (~trans(s199, s25)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25767,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s25)) | (~always25(s199)) | always25(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s25) | (~trans(s199, s25))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25766])).
% 24.52/24.95 tff(25768,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s25)) | (~always25(s199)) | always25(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s25) | (~trans(s199, s25)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25767, 25765])).
% 24.52/24.95 tff(25769,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s25)) | (~always25(s199)) | always25(s25))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25770,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s25) | (~trans(s199, s25))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 24.52/24.95 tff(25771,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25770, 23068, 6146, 25193, 25764])).
% 24.52/24.95 tff(25772,plain,(~trans(s199, s25)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25773,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s117, s118)) | (~always25(s117)) | always25(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s117, s118)) | (~always25(s117)) | always25(s118))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25774,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s117, s118)) | (~always25(s117)) | always25(s118))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25775,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s117, s118)) | (~always25(s117)) | always25(s118)),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25774, 25773])).
% 24.52/24.95 tff(25776,plain,
% 24.52/24.95 ((~always25(s117)) | always25(s118)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25775, 6146, 9759])).
% 24.52/24.95 tff(25777,plain,
% 24.52/24.95 (~always25(s117)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25776, 16543])).
% 24.52/24.95 tff(25778,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s117) | (~trans(s199, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s117) | (~trans(s199, s117)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25779,plain,
% 24.52/24.95 (((~trans(s199, s117)) | (~always25(s199)) | always25(s117)) <=> ((~always25(s199)) | always25(s117) | (~trans(s199, s117)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25780,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s117)) | (~always25(s199)) | always25(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s117) | (~trans(s199, s117))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25779])).
% 24.52/24.95 tff(25781,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s117)) | (~always25(s199)) | always25(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s117) | (~trans(s199, s117)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25780, 25778])).
% 24.52/24.95 tff(25782,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s117)) | (~always25(s199)) | always25(s117))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25783,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s117) | (~trans(s199, s117))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25782, 25781])).
% 24.52/24.95 tff(25784,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25783, 23057, 6146, 25193, 25777])).
% 24.52/24.95 tff(25785,plain,(~trans(s199, s117)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25786,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s0, s1)) | (~always25(s0)) | always25(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s0, s1)) | (~always25(s0)) | always25(s1))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25787,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s0, s1)) | (~always25(s0)) | always25(s1))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25788,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s0, s1)) | (~always25(s0)) | always25(s1)),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25787, 25786])).
% 24.52/24.95 tff(25789,plain,
% 24.52/24.95 ((~always25(s0)) | always25(s1)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25788, 6146, 64])).
% 24.52/24.95 tff(25790,plain,
% 24.52/24.95 (~always25(s0)),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25789, 17382])).
% 24.52/24.95 tff(25791,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s0) | (~trans(s199, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s0) | (~trans(s199, s0)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25792,plain,
% 24.52/24.95 (((~trans(s199, s0)) | (~always25(s199)) | always25(s0)) <=> ((~always25(s199)) | always25(s0) | (~trans(s199, s0)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25793,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s0)) | (~always25(s199)) | always25(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s0) | (~trans(s199, s0))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25792])).
% 24.52/24.95 tff(25794,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s0)) | (~always25(s199)) | always25(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s0) | (~trans(s199, s0)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25793, 25791])).
% 24.52/24.95 tff(25795,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s0)) | (~always25(s199)) | always25(s0))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25796,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s0) | (~trans(s199, s0))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 24.52/24.95 tff(25797,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25796, 23046, 6146, 25193, 25790])).
% 24.52/24.95 tff(25798,plain,(~trans(s199, s0)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25799,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s56) | (~trans(s199, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s56) | (~trans(s199, s56)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25800,plain,
% 24.52/24.95 (((~trans(s199, s56)) | (~always25(s199)) | always25(s56)) <=> ((~always25(s199)) | always25(s56) | (~trans(s199, s56)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25801,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s56)) | (~always25(s199)) | always25(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s56) | (~trans(s199, s56))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25800])).
% 24.52/24.95 tff(25802,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s56)) | (~always25(s199)) | always25(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s56) | (~trans(s199, s56)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25801, 25799])).
% 24.52/24.95 tff(25803,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s56)) | (~always25(s199)) | always25(s56))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25804,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s56) | (~trans(s199, s56))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25803, 25802])).
% 24.52/24.95 tff(25805,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25804, 23025, 6146, 25193, 16986])).
% 24.52/24.95 tff(25806,plain,(~trans(s199, s56)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25807,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s71) | (~trans(s199, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s71) | (~trans(s199, s71)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25808,plain,
% 24.52/24.95 (((~trans(s199, s71)) | (~always25(s199)) | always25(s71)) <=> ((~always25(s199)) | always25(s71) | (~trans(s199, s71)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25809,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s71)) | (~always25(s199)) | always25(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s71) | (~trans(s199, s71))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25808])).
% 24.52/24.95 tff(25810,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s71)) | (~always25(s199)) | always25(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s71) | (~trans(s199, s71)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25809, 25807])).
% 24.52/24.95 tff(25811,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s71)) | (~always25(s199)) | always25(s71))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25812,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s71) | (~trans(s199, s71))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25811, 25810])).
% 24.52/24.95 tff(25813,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25812, 23014, 6146, 25193, 16875])).
% 24.52/24.95 tff(25814,plain,(~trans(s199, s71)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25815,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s62) | (~trans(s199, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s62) | (~trans(s199, s62)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25816,plain,
% 24.52/24.95 (((~trans(s199, s62)) | (~always25(s199)) | always25(s62)) <=> ((~always25(s199)) | always25(s62) | (~trans(s199, s62)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25817,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s62)) | (~always25(s199)) | always25(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s62) | (~trans(s199, s62))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25816])).
% 24.52/24.95 tff(25818,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s62)) | (~always25(s199)) | always25(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s62) | (~trans(s199, s62)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25817, 25815])).
% 24.52/24.95 tff(25819,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s62)) | (~always25(s199)) | always25(s62))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25820,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s62) | (~trans(s199, s62))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25819, 25818])).
% 24.52/24.95 tff(25821,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25820, 23003, 6146, 25193, 16942])).
% 24.52/24.95 tff(25822,plain,(~trans(s199, s62)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25823,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s47) | (~trans(s199, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s47) | (~trans(s199, s47)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25824,plain,
% 24.52/24.95 (((~trans(s199, s47)) | (~always25(s199)) | always25(s47)) <=> ((~always25(s199)) | always25(s47) | (~trans(s199, s47)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25825,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s47)) | (~always25(s199)) | always25(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s47) | (~trans(s199, s47))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25824])).
% 24.52/24.95 tff(25826,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s47)) | (~always25(s199)) | always25(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s47) | (~trans(s199, s47)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25825, 25823])).
% 24.52/24.95 tff(25827,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s47)) | (~always25(s199)) | always25(s47))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25828,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s47) | (~trans(s199, s47))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 24.52/24.95 tff(25829,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25828, 22992, 6146, 25193, 17049])).
% 24.52/24.95 tff(25830,plain,(~trans(s199, s47)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25831,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s48) | (~trans(s199, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s48) | (~trans(s199, s48)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25832,plain,
% 24.52/24.95 (((~trans(s199, s48)) | (~always25(s199)) | always25(s48)) <=> ((~always25(s199)) | always25(s48) | (~trans(s199, s48)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25833,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s48)) | (~always25(s199)) | always25(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s48) | (~trans(s199, s48))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25832])).
% 24.52/24.95 tff(25834,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s48)) | (~always25(s199)) | always25(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s48) | (~trans(s199, s48)))),
% 24.52/24.95 inference(transitivity,[status(thm)],[25833, 25831])).
% 24.52/24.95 tff(25835,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s48)) | (~always25(s199)) | always25(s48))),
% 24.52/24.95 inference(quant_inst,[status(thm)],[])).
% 24.52/24.95 tff(25836,plain,
% 24.52/24.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s48) | (~trans(s199, s48))),
% 24.52/24.95 inference(modus_ponens,[status(thm)],[25835, 25834])).
% 24.52/24.95 tff(25837,plain,
% 24.52/24.95 ($false),
% 24.52/24.95 inference(unit_resolution,[status(thm)],[25836, 22981, 6146, 25193, 17044])).
% 24.52/24.95 tff(25838,plain,(~trans(s199, s48)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.95 tff(25839,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s20) | (~trans(s199, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s20) | (~trans(s199, s20)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25840,plain,
% 24.52/24.95 (((~trans(s199, s20)) | (~always25(s199)) | always25(s20)) <=> ((~always25(s199)) | always25(s20) | (~trans(s199, s20)))),
% 24.52/24.95 inference(rewrite,[status(thm)],[])).
% 24.52/24.95 tff(25841,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s20)) | (~always25(s199)) | always25(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s20) | (~trans(s199, s20))))),
% 24.52/24.95 inference(monotonicity,[status(thm)],[25840])).
% 24.52/24.95 tff(25842,plain,
% 24.52/24.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s20)) | (~always25(s199)) | always25(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s20) | (~trans(s199, s20)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25841, 25839])).
% 24.52/24.96 tff(25843,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s20)) | (~always25(s199)) | always25(s20))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25844,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s20) | (~trans(s199, s20))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25843, 25842])).
% 24.52/24.96 tff(25845,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25844, 22970, 6146, 25193, 17247])).
% 24.52/24.96 tff(25846,plain,(~trans(s199, s20)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25847,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s45, s46)) | (~always25(s45)) | always25(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s45, s46)) | (~always25(s45)) | always25(s46))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25848,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s45, s46)) | (~always25(s45)) | always25(s46))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25849,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s45, s46)) | (~always25(s45)) | always25(s46)),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25848, 25847])).
% 24.52/24.96 tff(25850,plain,
% 24.52/24.96 ((~always25(s45)) | always25(s46)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25849, 6146, 4029])).
% 24.52/24.96 tff(25851,plain,
% 24.52/24.96 (~always25(s45)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25850, 17058])).
% 24.52/24.96 tff(25852,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s45) | (~trans(s199, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s45) | (~trans(s199, s45)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25853,plain,
% 24.52/24.96 (((~trans(s199, s45)) | (~always25(s199)) | always25(s45)) <=> ((~always25(s199)) | always25(s45) | (~trans(s199, s45)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25854,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s45)) | (~always25(s199)) | always25(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s45) | (~trans(s199, s45))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25853])).
% 24.52/24.96 tff(25855,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s45)) | (~always25(s199)) | always25(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s45) | (~trans(s199, s45)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25854, 25852])).
% 24.52/24.96 tff(25856,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s45)) | (~always25(s199)) | always25(s45))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25857,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s45) | (~trans(s199, s45))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25856, 25855])).
% 24.52/24.96 tff(25858,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25857, 22959, 6146, 25193, 25851])).
% 24.52/24.96 tff(25859,plain,(~trans(s199, s45)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25860,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s11) | (~trans(s199, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s11) | (~trans(s199, s11)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25861,plain,
% 24.52/24.96 (((~trans(s199, s11)) | (~always25(s199)) | always25(s11)) <=> ((~always25(s199)) | always25(s11) | (~trans(s199, s11)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25862,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s11)) | (~always25(s199)) | always25(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s11) | (~trans(s199, s11))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25861])).
% 24.52/24.96 tff(25863,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s11)) | (~always25(s199)) | always25(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s11) | (~trans(s199, s11)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25862, 25860])).
% 24.52/24.96 tff(25864,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s11)) | (~always25(s199)) | always25(s11))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25865,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s11) | (~trans(s199, s11))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25864, 25863])).
% 24.52/24.96 tff(25866,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25865, 22948, 6146, 25193, 17310])).
% 24.52/24.96 tff(25867,plain,(~trans(s199, s11)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25868,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s30) | (~trans(s199, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s30) | (~trans(s199, s30)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25869,plain,
% 24.52/24.96 (((~trans(s199, s30)) | (~always25(s199)) | always25(s30)) <=> ((~always25(s199)) | always25(s30) | (~trans(s199, s30)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25870,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s30)) | (~always25(s199)) | always25(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s30) | (~trans(s199, s30))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25869])).
% 24.52/24.96 tff(25871,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s30)) | (~always25(s199)) | always25(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s30) | (~trans(s199, s30)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25870, 25868])).
% 24.52/24.96 tff(25872,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s30)) | (~always25(s199)) | always25(s30))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25873,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s30) | (~trans(s199, s30))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25872, 25871])).
% 24.52/24.96 tff(25874,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25873, 22937, 6146, 25193, 17174])).
% 24.52/24.96 tff(25875,plain,(~trans(s199, s30)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25876,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s79) | (~trans(s199, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s79) | (~trans(s199, s79)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25877,plain,
% 24.52/24.96 (((~trans(s199, s79)) | (~always25(s199)) | always25(s79)) <=> ((~always25(s199)) | always25(s79) | (~trans(s199, s79)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25878,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s79)) | (~always25(s199)) | always25(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s79) | (~trans(s199, s79))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25877])).
% 24.52/24.96 tff(25879,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s79)) | (~always25(s199)) | always25(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s79) | (~trans(s199, s79)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25878, 25876])).
% 24.52/24.96 tff(25880,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s79)) | (~always25(s199)) | always25(s79))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25881,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s79) | (~trans(s199, s79))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 24.52/24.96 tff(25882,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25881, 22926, 6146, 25193, 16824])).
% 24.52/24.96 tff(25883,plain,(~trans(s199, s79)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25884,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s1) | (~trans(s199, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s1) | (~trans(s199, s1)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25885,plain,
% 24.52/24.96 (((~trans(s199, s1)) | (~always25(s199)) | always25(s1)) <=> ((~always25(s199)) | always25(s1) | (~trans(s199, s1)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25886,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s1)) | (~always25(s199)) | always25(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s1) | (~trans(s199, s1))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25885])).
% 24.52/24.96 tff(25887,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s1)) | (~always25(s199)) | always25(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s1) | (~trans(s199, s1)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25886, 25884])).
% 24.52/24.96 tff(25888,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s1)) | (~always25(s199)) | always25(s1))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25889,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s1) | (~trans(s199, s1))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 24.52/24.96 tff(25890,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25889, 22585, 6146, 25193, 17382])).
% 24.52/24.96 tff(25891,plain,(~trans(s199, s1)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25892,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s76) | (~trans(s199, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s76) | (~trans(s199, s76)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25893,plain,
% 24.52/24.96 (((~trans(s199, s76)) | (~always25(s199)) | always25(s76)) <=> ((~always25(s199)) | always25(s76) | (~trans(s199, s76)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25894,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s76)) | (~always25(s199)) | always25(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s76) | (~trans(s199, s76))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25893])).
% 24.52/24.96 tff(25895,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s76)) | (~always25(s199)) | always25(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s76) | (~trans(s199, s76)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25894, 25892])).
% 24.52/24.96 tff(25896,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s76)) | (~always25(s199)) | always25(s76))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25897,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s76) | (~trans(s199, s76))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 24.52/24.96 tff(25898,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25897, 22544, 6146, 25193, 16848])).
% 24.52/24.96 tff(25899,plain,(~trans(s199, s76)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25900,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s98) | (~trans(s199, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s98) | (~trans(s199, s98)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25901,plain,
% 24.52/24.96 (((~trans(s199, s98)) | (~always25(s199)) | always25(s98)) <=> ((~always25(s199)) | always25(s98) | (~trans(s199, s98)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25902,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s98)) | (~always25(s199)) | always25(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s98) | (~trans(s199, s98))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25901])).
% 24.52/24.96 tff(25903,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s98)) | (~always25(s199)) | always25(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s98) | (~trans(s199, s98)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25902, 25900])).
% 24.52/24.96 tff(25904,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s98)) | (~always25(s199)) | always25(s98))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25905,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s98) | (~trans(s199, s98))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 24.52/24.96 tff(25906,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25905, 22533, 6146, 25193, 16688])).
% 24.52/24.96 tff(25907,plain,(~trans(s199, s98)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25908,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s116) | (~trans(s199, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s116) | (~trans(s199, s116)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25909,plain,
% 24.52/24.96 (((~trans(s199, s116)) | (~always25(s199)) | always25(s116)) <=> ((~always25(s199)) | always25(s116) | (~trans(s199, s116)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25910,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s116)) | (~always25(s199)) | always25(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s116) | (~trans(s199, s116))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25909])).
% 24.52/24.96 tff(25911,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s116)) | (~always25(s199)) | always25(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s116) | (~trans(s199, s116)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25910, 25908])).
% 24.52/24.96 tff(25912,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s116)) | (~always25(s199)) | always25(s116))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25913,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s116) | (~trans(s199, s116))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 24.52/24.96 tff(25914,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25913, 22522, 6146, 25193, 16558])).
% 24.52/24.96 tff(25915,plain,(~trans(s199, s116)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25916,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s60) | (~trans(s199, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s60) | (~trans(s199, s60)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25917,plain,
% 24.52/24.96 (((~trans(s199, s60)) | (~always25(s199)) | always25(s60)) <=> ((~always25(s199)) | always25(s60) | (~trans(s199, s60)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25918,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s60)) | (~always25(s199)) | always25(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s60) | (~trans(s199, s60))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25917])).
% 24.52/24.96 tff(25919,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s60)) | (~always25(s199)) | always25(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s60) | (~trans(s199, s60)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25918, 25916])).
% 24.52/24.96 tff(25920,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s60)) | (~always25(s199)) | always25(s60))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25921,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s60) | (~trans(s199, s60))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 24.52/24.96 tff(25922,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25921, 22511, 6146, 25193, 16957])).
% 24.52/24.96 tff(25923,plain,(~trans(s199, s60)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25924,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s4) | (~trans(s199, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s4) | (~trans(s199, s4)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25925,plain,
% 24.52/24.96 (((~trans(s199, s4)) | (~always25(s199)) | always25(s4)) <=> ((~always25(s199)) | always25(s4) | (~trans(s199, s4)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25926,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s4)) | (~always25(s199)) | always25(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s4) | (~trans(s199, s4))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25925])).
% 24.52/24.96 tff(25927,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s4)) | (~always25(s199)) | always25(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s4) | (~trans(s199, s4)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25926, 25924])).
% 24.52/24.96 tff(25928,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s4)) | (~always25(s199)) | always25(s4))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25929,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s4) | (~trans(s199, s4))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 24.52/24.96 tff(25930,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25929, 22500, 6146, 25193, 17363])).
% 24.52/24.96 tff(25931,plain,(~trans(s199, s4)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25932,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s40) | (~trans(s199, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s40) | (~trans(s199, s40)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25933,plain,
% 24.52/24.96 (((~trans(s199, s40)) | (~always25(s199)) | always25(s40)) <=> ((~always25(s199)) | always25(s40) | (~trans(s199, s40)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25934,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s40)) | (~always25(s199)) | always25(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s40) | (~trans(s199, s40))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25933])).
% 24.52/24.96 tff(25935,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s40)) | (~always25(s199)) | always25(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s40) | (~trans(s199, s40)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25934, 25932])).
% 24.52/24.96 tff(25936,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s40)) | (~always25(s199)) | always25(s40))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25937,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s40) | (~trans(s199, s40))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25936, 25935])).
% 24.52/24.96 tff(25938,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25937, 22479, 6146, 25193, 17102])).
% 24.52/24.96 tff(25939,plain,(~trans(s199, s40)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25940,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s122) | (~trans(s199, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s122) | (~trans(s199, s122)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25941,plain,
% 24.52/24.96 (((~trans(s199, s122)) | (~always25(s199)) | always25(s122)) <=> ((~always25(s199)) | always25(s122) | (~trans(s199, s122)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25942,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s122)) | (~always25(s199)) | always25(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s122) | (~trans(s199, s122))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25941])).
% 24.52/24.96 tff(25943,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s122)) | (~always25(s199)) | always25(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s122) | (~trans(s199, s122)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25942, 25940])).
% 24.52/24.96 tff(25944,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s122)) | (~always25(s199)) | always25(s122))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25945,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s122) | (~trans(s199, s122))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 24.52/24.96 tff(25946,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25945, 22468, 6146, 25193, 16514])).
% 24.52/24.96 tff(25947,plain,(~trans(s199, s122)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25948,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s8) | (~trans(s199, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s8) | (~trans(s199, s8)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25949,plain,
% 24.52/24.96 (((~trans(s199, s8)) | (~always25(s199)) | always25(s8)) <=> ((~always25(s199)) | always25(s8) | (~trans(s199, s8)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25950,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s8)) | (~always25(s199)) | always25(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s8) | (~trans(s199, s8))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25949])).
% 24.52/24.96 tff(25951,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s8)) | (~always25(s199)) | always25(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s8) | (~trans(s199, s8)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25950, 25948])).
% 24.52/24.96 tff(25952,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s8)) | (~always25(s199)) | always25(s8))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25953,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s8) | (~trans(s199, s8))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25952, 25951])).
% 24.52/24.96 tff(25954,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25953, 22457, 6146, 25193, 17334])).
% 24.52/24.96 tff(25955,plain,(~trans(s199, s8)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25956,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s78) | (~trans(s199, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s78) | (~trans(s199, s78)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25957,plain,
% 24.52/24.96 (((~trans(s199, s78)) | (~always25(s199)) | always25(s78)) <=> ((~always25(s199)) | always25(s78) | (~trans(s199, s78)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25958,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s78)) | (~always25(s199)) | always25(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s78) | (~trans(s199, s78))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25957])).
% 24.52/24.96 tff(25959,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s78)) | (~always25(s199)) | always25(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s78) | (~trans(s199, s78)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25958, 25956])).
% 24.52/24.96 tff(25960,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s78)) | (~always25(s199)) | always25(s78))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25961,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s78) | (~trans(s199, s78))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25960, 25959])).
% 24.52/24.96 tff(25962,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25961, 22446, 6146, 25193, 16833])).
% 24.52/24.96 tff(25963,plain,(~trans(s199, s78)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25964,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s89, s90)) | (~always25(s89)) | always25(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s89, s90)) | (~always25(s89)) | always25(s90))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25965,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s89, s90)) | (~always25(s89)) | always25(s90))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25966,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s89, s90)) | (~always25(s89)) | always25(s90)),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25965, 25964])).
% 24.52/24.96 tff(25967,plain,
% 24.52/24.96 ((~always25(s89)) | always25(s90)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25966, 6146, 7542])).
% 24.52/24.96 tff(25968,plain,
% 24.52/24.96 (~always25(s89)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25967, 16746])).
% 24.52/24.96 tff(25969,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s89) | (~trans(s199, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s89) | (~trans(s199, s89)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25970,plain,
% 24.52/24.96 (((~trans(s199, s89)) | (~always25(s199)) | always25(s89)) <=> ((~always25(s199)) | always25(s89) | (~trans(s199, s89)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25971,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s89)) | (~always25(s199)) | always25(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s89) | (~trans(s199, s89))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25970])).
% 24.52/24.96 tff(25972,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s89)) | (~always25(s199)) | always25(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s89) | (~trans(s199, s89)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25971, 25969])).
% 24.52/24.96 tff(25973,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s89)) | (~always25(s199)) | always25(s89))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25974,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s89) | (~trans(s199, s89))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 24.52/24.96 tff(25975,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25974, 22435, 6146, 25193, 25968])).
% 24.52/24.96 tff(25976,plain,(~trans(s199, s89)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25977,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s68) | (~trans(s199, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s68) | (~trans(s199, s68)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25978,plain,
% 24.52/24.96 (((~trans(s199, s68)) | (~always25(s199)) | always25(s68)) <=> ((~always25(s199)) | always25(s68) | (~trans(s199, s68)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25979,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s68)) | (~always25(s199)) | always25(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s68) | (~trans(s199, s68))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25978])).
% 24.52/24.96 tff(25980,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s68)) | (~always25(s199)) | always25(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s68) | (~trans(s199, s68)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25979, 25977])).
% 24.52/24.96 tff(25981,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s68)) | (~always25(s199)) | always25(s68))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25982,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s68) | (~trans(s199, s68))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 24.52/24.96 tff(25983,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25982, 22424, 6146, 25193, 16899])).
% 24.52/24.96 tff(25984,plain,(~trans(s199, s68)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25985,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s26) | (~trans(s199, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s26) | (~trans(s199, s26)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25986,plain,
% 24.52/24.96 (((~trans(s199, s26)) | (~always25(s199)) | always25(s26)) <=> ((~always25(s199)) | always25(s26) | (~trans(s199, s26)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25987,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s26)) | (~always25(s199)) | always25(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s26) | (~trans(s199, s26))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25986])).
% 24.52/24.96 tff(25988,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s26)) | (~always25(s199)) | always25(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s26) | (~trans(s199, s26)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[25987, 25985])).
% 24.52/24.96 tff(25989,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s26)) | (~always25(s199)) | always25(s26))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25990,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s26) | (~trans(s199, s26))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25989, 25988])).
% 24.52/24.96 tff(25991,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25990, 22413, 6146, 25193, 17203])).
% 24.52/24.96 tff(25992,plain,(~trans(s199, s26)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(25993,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s33, s34)) | (~always25(s33)) | always25(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s33, s34)) | (~always25(s33)) | always25(s34))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25994,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s33, s34)) | (~always25(s33)) | always25(s34))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(25995,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s33, s34)) | (~always25(s33)) | always25(s34)),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 24.52/24.96 tff(25996,plain,
% 24.52/24.96 ((~always25(s33)) | always25(s34)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25995, 6146, 3106])).
% 24.52/24.96 tff(25997,plain,
% 24.52/24.96 (~always25(s33)),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[25996, 17145])).
% 24.52/24.96 tff(25998,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s33) | (~trans(s199, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s33) | (~trans(s199, s33)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(25999,plain,
% 24.52/24.96 (((~trans(s199, s33)) | (~always25(s199)) | always25(s33)) <=> ((~always25(s199)) | always25(s33) | (~trans(s199, s33)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(26000,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s33)) | (~always25(s199)) | always25(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s33) | (~trans(s199, s33))))),
% 24.52/24.96 inference(monotonicity,[status(thm)],[25999])).
% 24.52/24.96 tff(26001,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s33)) | (~always25(s199)) | always25(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s33) | (~trans(s199, s33)))),
% 24.52/24.96 inference(transitivity,[status(thm)],[26000, 25998])).
% 24.52/24.96 tff(26002,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s33)) | (~always25(s199)) | always25(s33))),
% 24.52/24.96 inference(quant_inst,[status(thm)],[])).
% 24.52/24.96 tff(26003,plain,
% 24.52/24.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s33) | (~trans(s199, s33))),
% 24.52/24.96 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 24.52/24.96 tff(26004,plain,
% 24.52/24.96 ($false),
% 24.52/24.96 inference(unit_resolution,[status(thm)],[26003, 22402, 6146, 25193, 25997])).
% 24.52/24.96 tff(26005,plain,(~trans(s199, s33)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.96 tff(26006,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s136) | (~trans(s199, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s136) | (~trans(s199, s136)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(26007,plain,
% 24.52/24.96 (((~trans(s199, s136)) | (~always25(s199)) | always25(s136)) <=> ((~always25(s199)) | always25(s136) | (~trans(s199, s136)))),
% 24.52/24.96 inference(rewrite,[status(thm)],[])).
% 24.52/24.96 tff(26008,plain,
% 24.52/24.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s136)) | (~always25(s199)) | always25(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s136) | (~trans(s199, s136))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26007])).
% 24.52/24.97 tff(26009,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s136)) | (~always25(s199)) | always25(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s136) | (~trans(s199, s136)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26008, 26006])).
% 24.52/24.97 tff(26010,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s136)) | (~always25(s199)) | always25(s136))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26011,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s136) | (~trans(s199, s136))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 24.52/24.97 tff(26012,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26011, 22391, 6146, 25193, 16413])).
% 24.52/24.97 tff(26013,plain,(~trans(s199, s136)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26014,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s132) | (~trans(s199, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s132) | (~trans(s199, s132)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26015,plain,
% 24.52/24.97 (((~trans(s199, s132)) | (~always25(s199)) | always25(s132)) <=> ((~always25(s199)) | always25(s132) | (~trans(s199, s132)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26016,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s132)) | (~always25(s199)) | always25(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s132) | (~trans(s199, s132))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26015])).
% 24.52/24.97 tff(26017,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s132)) | (~always25(s199)) | always25(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s132) | (~trans(s199, s132)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26016, 26014])).
% 24.52/24.97 tff(26018,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s132)) | (~always25(s199)) | always25(s132))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26019,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s132) | (~trans(s199, s132))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26018, 26017])).
% 24.52/24.97 tff(26020,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26019, 22380, 6146, 25193, 16442])).
% 24.52/24.97 tff(26021,plain,(~trans(s199, s132)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26022,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s107) | (~trans(s199, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s107) | (~trans(s199, s107)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26023,plain,
% 24.52/24.97 (((~trans(s199, s107)) | (~always25(s199)) | always25(s107)) <=> ((~always25(s199)) | always25(s107) | (~trans(s199, s107)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26024,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s107)) | (~always25(s199)) | always25(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s107) | (~trans(s199, s107))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26023])).
% 24.52/24.97 tff(26025,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s107)) | (~always25(s199)) | always25(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s107) | (~trans(s199, s107)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26024, 26022])).
% 24.52/24.97 tff(26026,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s107)) | (~always25(s199)) | always25(s107))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26027,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s107) | (~trans(s199, s107))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 24.52/24.97 tff(26028,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26027, 22369, 6146, 25193, 16621])).
% 24.52/24.97 tff(26029,plain,(~trans(s199, s107)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26030,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s125, s126)) | (~always25(s125)) | always25(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s125, s126)) | (~always25(s125)) | always25(s126))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26031,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s125, s126)) | (~always25(s125)) | always25(s126))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26032,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s125, s126)) | (~always25(s125)) | always25(s126)),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26031, 26030])).
% 24.52/24.97 tff(26033,plain,
% 24.52/24.97 ((~always25(s125)) | always25(s126)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26032, 6146, 10387])).
% 24.52/24.97 tff(26034,plain,
% 24.52/24.97 (~always25(s125)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26033, 16485])).
% 24.52/24.97 tff(26035,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s125) | (~trans(s199, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s125) | (~trans(s199, s125)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26036,plain,
% 24.52/24.97 (((~trans(s199, s125)) | (~always25(s199)) | always25(s125)) <=> ((~always25(s199)) | always25(s125) | (~trans(s199, s125)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26037,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s125)) | (~always25(s199)) | always25(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s125) | (~trans(s199, s125))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26036])).
% 24.52/24.97 tff(26038,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s125)) | (~always25(s199)) | always25(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s125) | (~trans(s199, s125)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26037, 26035])).
% 24.52/24.97 tff(26039,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s125)) | (~always25(s199)) | always25(s125))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26040,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s125) | (~trans(s199, s125))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26039, 26038])).
% 24.52/24.97 tff(26041,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26040, 22358, 6146, 25193, 26034])).
% 24.52/24.97 tff(26042,plain,(~trans(s199, s125)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26043,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s61, s62)) | (~always25(s61)) | always25(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s61, s62)) | (~always25(s61)) | always25(s62))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26044,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s61, s62)) | (~always25(s61)) | always25(s62))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26045,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s61, s62)) | (~always25(s61)) | always25(s62)),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 24.52/24.97 tff(26046,plain,
% 24.52/24.97 ((~always25(s61)) | always25(s62)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26045, 6146, 5285])).
% 24.52/24.97 tff(26047,plain,
% 24.52/24.97 (~always25(s61)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26046, 16942])).
% 24.52/24.97 tff(26048,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s61) | (~trans(s199, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s61) | (~trans(s199, s61)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26049,plain,
% 24.52/24.97 (((~trans(s199, s61)) | (~always25(s199)) | always25(s61)) <=> ((~always25(s199)) | always25(s61) | (~trans(s199, s61)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26050,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s61)) | (~always25(s199)) | always25(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s61) | (~trans(s199, s61))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26049])).
% 24.52/24.97 tff(26051,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s61)) | (~always25(s199)) | always25(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s61) | (~trans(s199, s61)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26050, 26048])).
% 24.52/24.97 tff(26052,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s61)) | (~always25(s199)) | always25(s61))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26053,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s61) | (~trans(s199, s61))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 24.52/24.97 tff(26054,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26053, 22347, 6146, 25193, 26047])).
% 24.52/24.97 tff(26055,plain,(~trans(s199, s61)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26056,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s5, s6)) | (~always25(s5)) | always25(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s5, s6)) | (~always25(s5)) | always25(s6))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26057,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s5, s6)) | (~always25(s5)) | always25(s6))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26058,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s5, s6)) | (~always25(s5)) | always25(s6)),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26057, 26056])).
% 24.52/24.97 tff(26059,plain,
% 24.52/24.97 ((~always25(s5)) | always25(s6)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26058, 6146, 849])).
% 24.52/24.97 tff(26060,plain,
% 24.52/24.97 (~always25(s5)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26059, 17348])).
% 24.52/24.97 tff(26061,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s5) | (~trans(s199, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s5) | (~trans(s199, s5)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26062,plain,
% 24.52/24.97 (((~trans(s199, s5)) | (~always25(s199)) | always25(s5)) <=> ((~always25(s199)) | always25(s5) | (~trans(s199, s5)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26063,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s5)) | (~always25(s199)) | always25(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s5) | (~trans(s199, s5))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26062])).
% 24.52/24.97 tff(26064,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s5)) | (~always25(s199)) | always25(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s5) | (~trans(s199, s5)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26063, 26061])).
% 24.52/24.97 tff(26065,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s5)) | (~always25(s199)) | always25(s5))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26066,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s5) | (~trans(s199, s5))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 24.52/24.97 tff(26067,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26066, 22336, 6146, 25193, 26060])).
% 24.52/24.97 tff(26068,plain,(~trans(s199, s5)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26069,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s111) | (~trans(s199, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s111) | (~trans(s199, s111)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26070,plain,
% 24.52/24.97 (((~trans(s199, s111)) | (~always25(s199)) | always25(s111)) <=> ((~always25(s199)) | always25(s111) | (~trans(s199, s111)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26071,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s111)) | (~always25(s199)) | always25(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s111) | (~trans(s199, s111))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26070])).
% 24.52/24.97 tff(26072,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s111)) | (~always25(s199)) | always25(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s111) | (~trans(s199, s111)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26071, 26069])).
% 24.52/24.97 tff(26073,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s111)) | (~always25(s199)) | always25(s111))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26074,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s111) | (~trans(s199, s111))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 24.52/24.97 tff(26075,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26074, 22175, 6146, 25193, 16592])).
% 24.52/24.97 tff(26076,plain,(~trans(s199, s111)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26077,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s101, s102)) | (~always25(s101)) | always25(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s101, s102)) | (~always25(s101)) | always25(s102))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26078,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s101, s102)) | (~always25(s101)) | always25(s102))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26079,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s101, s102)) | (~always25(s101)) | always25(s102)),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26078, 26077])).
% 24.52/24.97 tff(26080,plain,
% 24.52/24.97 ((~always25(s101)) | always25(s102)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26079, 6146, 8503])).
% 24.52/24.97 tff(26081,plain,
% 24.52/24.97 (~always25(s101)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26080, 16659])).
% 24.52/24.97 tff(26082,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s101) | (~trans(s199, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s101) | (~trans(s199, s101)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26083,plain,
% 24.52/24.97 (((~trans(s199, s101)) | (~always25(s199)) | always25(s101)) <=> ((~always25(s199)) | always25(s101) | (~trans(s199, s101)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26084,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s101)) | (~always25(s199)) | always25(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s101) | (~trans(s199, s101))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26083])).
% 24.52/24.97 tff(26085,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s101)) | (~always25(s199)) | always25(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s101) | (~trans(s199, s101)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26084, 26082])).
% 24.52/24.97 tff(26086,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s101)) | (~always25(s199)) | always25(s101))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26087,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s101) | (~trans(s199, s101))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26086, 26085])).
% 24.52/24.97 tff(26088,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26087, 22164, 6146, 25193, 26081])).
% 24.52/24.97 tff(26089,plain,(~trans(s199, s101)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26090,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s80) | (~trans(s199, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s80) | (~trans(s199, s80)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26091,plain,
% 24.52/24.97 (((~trans(s199, s80)) | (~always25(s199)) | always25(s80)) <=> ((~always25(s199)) | always25(s80) | (~trans(s199, s80)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26092,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s80)) | (~always25(s199)) | always25(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s80) | (~trans(s199, s80))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26091])).
% 24.52/24.97 tff(26093,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s80)) | (~always25(s199)) | always25(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s80) | (~trans(s199, s80)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26092, 26090])).
% 24.52/24.97 tff(26094,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s80)) | (~always25(s199)) | always25(s80))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26095,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s80) | (~trans(s199, s80))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 24.52/24.97 tff(26096,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26095, 22153, 6146, 25193, 16819])).
% 24.52/24.97 tff(26097,plain,(~trans(s199, s80)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26098,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s164) | (~trans(s199, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s164) | (~trans(s199, s164)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26099,plain,
% 24.52/24.97 (((~trans(s199, s164)) | (~always25(s199)) | always25(s164)) <=> ((~always25(s199)) | always25(s164) | (~trans(s199, s164)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26100,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s164)) | (~always25(s199)) | always25(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s164) | (~trans(s199, s164))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26099])).
% 24.52/24.97 tff(26101,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s164)) | (~always25(s199)) | always25(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s164) | (~trans(s199, s164)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26100, 26098])).
% 24.52/24.97 tff(26102,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s164)) | (~always25(s199)) | always25(s164))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26103,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s164) | (~trans(s199, s164))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 24.52/24.97 tff(26104,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26103, 22142, 6146, 25193, 16210])).
% 24.52/24.97 tff(26105,plain,(~trans(s199, s164)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26106,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s172) | (~trans(s199, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s172) | (~trans(s199, s172)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26107,plain,
% 24.52/24.97 (((~trans(s199, s172)) | (~always25(s199)) | always25(s172)) <=> ((~always25(s199)) | always25(s172) | (~trans(s199, s172)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26108,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s172)) | (~always25(s199)) | always25(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s172) | (~trans(s199, s172))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26107])).
% 24.52/24.97 tff(26109,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s172)) | (~always25(s199)) | always25(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s172) | (~trans(s199, s172)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26108, 26106])).
% 24.52/24.97 tff(26110,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s172)) | (~always25(s199)) | always25(s172))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26111,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s172) | (~trans(s199, s172))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 24.52/24.97 tff(26112,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26111, 22131, 6146, 25193, 16152])).
% 24.52/24.97 tff(26113,plain,(~trans(s199, s172)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26114,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s196) | (~trans(s199, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s196) | (~trans(s199, s196)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26115,plain,
% 24.52/24.97 (((~trans(s199, s196)) | (~always25(s199)) | always25(s196)) <=> ((~always25(s199)) | always25(s196) | (~trans(s199, s196)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26116,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s196)) | (~always25(s199)) | always25(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s196) | (~trans(s199, s196))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26115])).
% 24.52/24.97 tff(26117,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s196)) | (~always25(s199)) | always25(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s196) | (~trans(s199, s196)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26116, 26114])).
% 24.52/24.97 tff(26118,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s196)) | (~always25(s199)) | always25(s196))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26119,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s196) | (~trans(s199, s196))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26118, 26117])).
% 24.52/24.97 tff(26120,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26119, 22120, 6146, 25193, 15978])).
% 24.52/24.97 tff(26121,plain,(~trans(s199, s196)), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26122,assumption,(always25(s199)), introduced(assumption)).
% 24.52/24.97 tff(26123,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s67) | (~trans(s199, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s67) | (~trans(s199, s67)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26124,plain,
% 24.52/24.97 (((~trans(s199, s67)) | (~always25(s199)) | always25(s67)) <=> ((~always25(s199)) | always25(s67) | (~trans(s199, s67)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26125,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s67)) | (~always25(s199)) | always25(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s67) | (~trans(s199, s67))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26124])).
% 24.52/24.97 tff(26126,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s67)) | (~always25(s199)) | always25(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s67) | (~trans(s199, s67)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26125, 26123])).
% 24.52/24.97 tff(26127,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s67)) | (~always25(s199)) | always25(s67))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26128,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s67) | (~trans(s199, s67))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 24.52/24.97 tff(26129,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26128, 22065, 6146, 26122, 16904])).
% 24.52/24.97 tff(26130,plain,((~trans(s199, s67)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26131,plain,
% 24.52/24.97 (~trans(s199, s67)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26130, 25193])).
% 24.52/24.97 tff(26132,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s118) | (~trans(s199, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s118) | (~trans(s199, s118)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26133,plain,
% 24.52/24.97 (((~trans(s199, s118)) | (~always25(s199)) | always25(s118)) <=> ((~always25(s199)) | always25(s118) | (~trans(s199, s118)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26134,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s118)) | (~always25(s199)) | always25(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s118) | (~trans(s199, s118))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26133])).
% 24.52/24.97 tff(26135,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s118)) | (~always25(s199)) | always25(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s118) | (~trans(s199, s118)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26134, 26132])).
% 24.52/24.97 tff(26136,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s118)) | (~always25(s199)) | always25(s118))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26137,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s118) | (~trans(s199, s118))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 24.52/24.97 tff(26138,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26137, 22076, 6146, 26122, 16543])).
% 24.52/24.97 tff(26139,plain,((~trans(s199, s118)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26140,plain,
% 24.52/24.97 (~trans(s199, s118)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26139, 25193])).
% 24.52/24.97 tff(26141,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s110) | (~trans(s199, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s110) | (~trans(s199, s110)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26142,plain,
% 24.52/24.97 (((~trans(s199, s110)) | (~always25(s199)) | always25(s110)) <=> ((~always25(s199)) | always25(s110) | (~trans(s199, s110)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26143,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s110)) | (~always25(s199)) | always25(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s110) | (~trans(s199, s110))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26142])).
% 24.52/24.97 tff(26144,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s110)) | (~always25(s199)) | always25(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s110) | (~trans(s199, s110)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26143, 26141])).
% 24.52/24.97 tff(26145,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s110)) | (~always25(s199)) | always25(s110))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26146,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s110) | (~trans(s199, s110))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26145, 26144])).
% 24.52/24.97 tff(26147,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26146, 22087, 6146, 26122, 16601])).
% 24.52/24.97 tff(26148,plain,((~trans(s199, s110)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26149,plain,
% 24.52/24.97 (~trans(s199, s110)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26148, 25193])).
% 24.52/24.97 tff(26150,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s12) | (~trans(s199, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s12) | (~trans(s199, s12)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26151,plain,
% 24.52/24.97 (((~trans(s199, s12)) | (~always25(s199)) | always25(s12)) <=> ((~always25(s199)) | always25(s12) | (~trans(s199, s12)))),
% 24.52/24.97 inference(rewrite,[status(thm)],[])).
% 24.52/24.97 tff(26152,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s12)) | (~always25(s199)) | always25(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s12) | (~trans(s199, s12))))),
% 24.52/24.97 inference(monotonicity,[status(thm)],[26151])).
% 24.52/24.97 tff(26153,plain,
% 24.52/24.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s12)) | (~always25(s199)) | always25(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s12) | (~trans(s199, s12)))),
% 24.52/24.97 inference(transitivity,[status(thm)],[26152, 26150])).
% 24.52/24.97 tff(26154,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s12)) | (~always25(s199)) | always25(s12))),
% 24.52/24.97 inference(quant_inst,[status(thm)],[])).
% 24.52/24.97 tff(26155,plain,
% 24.52/24.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s12) | (~trans(s199, s12))),
% 24.52/24.97 inference(modus_ponens,[status(thm)],[26154, 26153])).
% 24.52/24.97 tff(26156,plain,
% 24.52/24.97 ($false),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26155, 22098, 6146, 26122, 17305])).
% 24.52/24.97 tff(26157,plain,((~trans(s199, s12)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.97 tff(26158,plain,
% 24.52/24.97 (~trans(s199, s12)),
% 24.52/24.97 inference(unit_resolution,[status(thm)],[26157, 25193])).
% 24.52/24.98 tff(26159,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s74) | (~trans(s199, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s74) | (~trans(s199, s74)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26160,plain,
% 24.52/24.98 (((~trans(s199, s74)) | (~always25(s199)) | always25(s74)) <=> ((~always25(s199)) | always25(s74) | (~trans(s199, s74)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26161,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s74)) | (~always25(s199)) | always25(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s74) | (~trans(s199, s74))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26160])).
% 24.52/24.98 tff(26162,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s74)) | (~always25(s199)) | always25(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s74) | (~trans(s199, s74)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26161, 26159])).
% 24.52/24.98 tff(26163,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s74)) | (~always25(s199)) | always25(s74))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26164,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s74) | (~trans(s199, s74))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26163, 26162])).
% 24.52/24.98 tff(26165,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26164, 22109, 6146, 26122, 16862])).
% 24.52/24.98 tff(26166,plain,((~trans(s199, s74)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26167,plain,
% 24.52/24.98 (~trans(s199, s74)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26166, 25193])).
% 24.52/24.98 tff(26168,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s32) | (~trans(s199, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s32) | (~trans(s199, s32)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26169,plain,
% 24.52/24.98 (((~trans(s199, s32)) | (~always25(s199)) | always25(s32)) <=> ((~always25(s199)) | always25(s32) | (~trans(s199, s32)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26170,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s32)) | (~always25(s199)) | always25(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s32) | (~trans(s199, s32))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26169])).
% 24.52/24.98 tff(26171,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s32)) | (~always25(s199)) | always25(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s32) | (~trans(s199, s32)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26170, 26168])).
% 24.52/24.98 tff(26172,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s32)) | (~always25(s199)) | always25(s32))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26173,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s32) | (~trans(s199, s32))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26172, 26171])).
% 24.52/24.98 tff(26174,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26173, 22186, 6146, 26122, 17160])).
% 24.52/24.98 tff(26175,plain,((~trans(s199, s32)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26176,plain,
% 24.52/24.98 (~trans(s199, s32)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26175, 25193])).
% 24.52/24.98 tff(26177,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s104) | (~trans(s199, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s104) | (~trans(s199, s104)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26178,plain,
% 24.52/24.98 (((~trans(s199, s104)) | (~always25(s199)) | always25(s104)) <=> ((~always25(s199)) | always25(s104) | (~trans(s199, s104)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26179,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s104)) | (~always25(s199)) | always25(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s104) | (~trans(s199, s104))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26178])).
% 24.52/24.98 tff(26180,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s104)) | (~always25(s199)) | always25(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s104) | (~trans(s199, s104)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26179, 26177])).
% 24.52/24.98 tff(26181,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s104)) | (~always25(s199)) | always25(s104))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26182,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s104) | (~trans(s199, s104))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26181, 26180])).
% 24.52/24.98 tff(26183,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26182, 22197, 6146, 26122, 16645])).
% 24.52/24.98 tff(26184,plain,((~trans(s199, s104)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26185,plain,
% 24.52/24.98 (~trans(s199, s104)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26184, 25193])).
% 24.52/24.98 tff(26186,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s99) | (~trans(s199, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s99) | (~trans(s199, s99)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26187,plain,
% 24.52/24.98 (((~trans(s199, s99)) | (~always25(s199)) | always25(s99)) <=> ((~always25(s199)) | always25(s99) | (~trans(s199, s99)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26188,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s99)) | (~always25(s199)) | always25(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s99) | (~trans(s199, s99))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26187])).
% 24.52/24.98 tff(26189,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s99)) | (~always25(s199)) | always25(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s99) | (~trans(s199, s99)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26188, 26186])).
% 24.52/24.98 tff(26190,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s99)) | (~always25(s199)) | always25(s99))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26191,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s99) | (~trans(s199, s99))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 24.52/24.98 tff(26192,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26191, 22208, 6146, 26122, 16679])).
% 24.52/24.98 tff(26193,plain,((~trans(s199, s99)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26194,plain,
% 24.52/24.98 (~trans(s199, s99)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26193, 25193])).
% 24.52/24.98 tff(26195,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s46) | (~trans(s199, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s46) | (~trans(s199, s46)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26196,plain,
% 24.52/24.98 (((~trans(s199, s46)) | (~always25(s199)) | always25(s46)) <=> ((~always25(s199)) | always25(s46) | (~trans(s199, s46)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26197,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s46)) | (~always25(s199)) | always25(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s46) | (~trans(s199, s46))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26196])).
% 24.52/24.98 tff(26198,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s46)) | (~always25(s199)) | always25(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s46) | (~trans(s199, s46)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26197, 26195])).
% 24.52/24.98 tff(26199,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s46)) | (~always25(s199)) | always25(s46))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26200,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s46) | (~trans(s199, s46))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 24.52/24.98 tff(26201,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26200, 22219, 6146, 26122, 17058])).
% 24.52/24.98 tff(26202,plain,((~trans(s199, s46)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26203,plain,
% 24.52/24.98 (~trans(s199, s46)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26202, 25193])).
% 24.52/24.98 tff(26204,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s18) | (~trans(s199, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s18) | (~trans(s199, s18)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26205,plain,
% 24.52/24.98 (((~trans(s199, s18)) | (~always25(s199)) | always25(s18)) <=> ((~always25(s199)) | always25(s18) | (~trans(s199, s18)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26206,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s18)) | (~always25(s199)) | always25(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s18) | (~trans(s199, s18))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26205])).
% 24.52/24.98 tff(26207,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s18)) | (~always25(s199)) | always25(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s18) | (~trans(s199, s18)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26206, 26204])).
% 24.52/24.98 tff(26208,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s18)) | (~always25(s199)) | always25(s18))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26209,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s18) | (~trans(s199, s18))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26208, 26207])).
% 24.52/24.98 tff(26210,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26209, 22230, 6146, 26122, 17261])).
% 24.52/24.98 tff(26211,plain,((~trans(s199, s18)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26212,plain,
% 24.52/24.98 (~trans(s199, s18)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26211, 25193])).
% 24.52/24.98 tff(26213,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s84) | (~trans(s199, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s84) | (~trans(s199, s84)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26214,plain,
% 24.52/24.98 (((~trans(s199, s84)) | (~always25(s199)) | always25(s84)) <=> ((~always25(s199)) | always25(s84) | (~trans(s199, s84)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26215,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s84)) | (~always25(s199)) | always25(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s84) | (~trans(s199, s84))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26214])).
% 24.52/24.98 tff(26216,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s84)) | (~always25(s199)) | always25(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s84) | (~trans(s199, s84)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26215, 26213])).
% 24.52/24.98 tff(26217,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s84)) | (~always25(s199)) | always25(s84))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26218,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s84) | (~trans(s199, s84))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 24.52/24.98 tff(26219,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26218, 22241, 6146, 26122, 16790])).
% 24.52/24.98 tff(26220,plain,((~trans(s199, s84)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26221,plain,
% 24.52/24.98 (~trans(s199, s84)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26220, 25193])).
% 24.52/24.98 tff(26222,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s51) | (~trans(s199, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s51) | (~trans(s199, s51)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26223,plain,
% 24.52/24.98 (((~trans(s199, s51)) | (~always25(s199)) | always25(s51)) <=> ((~always25(s199)) | always25(s51) | (~trans(s199, s51)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26224,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s51)) | (~always25(s199)) | always25(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s51) | (~trans(s199, s51))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26223])).
% 24.52/24.98 tff(26225,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s51)) | (~always25(s199)) | always25(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s51) | (~trans(s199, s51)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26224, 26222])).
% 24.52/24.98 tff(26226,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s51)) | (~always25(s199)) | always25(s51))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26227,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s51) | (~trans(s199, s51))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26226, 26225])).
% 24.52/24.98 tff(26228,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26227, 22252, 6146, 26122, 17020])).
% 24.52/24.98 tff(26229,plain,((~trans(s199, s51)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26230,plain,
% 24.52/24.98 (~trans(s199, s51)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26229, 25193])).
% 24.52/24.98 tff(26231,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s43) | (~trans(s199, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s43) | (~trans(s199, s43)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26232,plain,
% 24.52/24.98 (((~trans(s199, s43)) | (~always25(s199)) | always25(s43)) <=> ((~always25(s199)) | always25(s43) | (~trans(s199, s43)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26233,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s43)) | (~always25(s199)) | always25(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s43) | (~trans(s199, s43))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26232])).
% 24.52/24.98 tff(26234,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s43)) | (~always25(s199)) | always25(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s43) | (~trans(s199, s43)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26233, 26231])).
% 24.52/24.98 tff(26235,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s43)) | (~always25(s199)) | always25(s43))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26236,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s43) | (~trans(s199, s43))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 24.52/24.98 tff(26237,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26236, 22263, 6146, 26122, 17078])).
% 24.52/24.98 tff(26238,plain,((~trans(s199, s43)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26239,plain,
% 24.52/24.98 (~trans(s199, s43)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26238, 25193])).
% 24.52/24.98 tff(26240,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s166) | (~trans(s199, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s166) | (~trans(s199, s166)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26241,plain,
% 24.52/24.98 (((~trans(s199, s166)) | (~always25(s199)) | always25(s166)) <=> ((~always25(s199)) | always25(s166) | (~trans(s199, s166)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26242,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s166)) | (~always25(s199)) | always25(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s166) | (~trans(s199, s166))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26241])).
% 24.52/24.98 tff(26243,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s166)) | (~always25(s199)) | always25(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s166) | (~trans(s199, s166)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26242, 26240])).
% 24.52/24.98 tff(26244,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s166)) | (~always25(s199)) | always25(s166))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26245,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s166) | (~trans(s199, s166))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 24.52/24.98 tff(26246,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26245, 22274, 6146, 26122, 16195])).
% 24.52/24.98 tff(26247,plain,((~trans(s199, s166)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26248,plain,
% 24.52/24.98 (~trans(s199, s166)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26247, 25193])).
% 24.52/24.98 tff(26249,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s137, s138)) | (~always25(s137)) | always25(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s137, s138)) | (~always25(s137)) | always25(s138))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26250,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s137, s138)) | (~always25(s137)) | always25(s138))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26251,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s137, s138)) | (~always25(s137)) | always25(s138)),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 24.52/24.98 tff(26252,plain,
% 24.52/24.98 ((~always25(s137)) | always25(s138)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26251, 6146, 11310])).
% 24.52/24.98 tff(26253,plain,
% 24.52/24.98 (~always25(s137)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26252, 16398])).
% 24.52/24.98 tff(26254,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s137) | (~trans(s199, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s137) | (~trans(s199, s137)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26255,plain,
% 24.52/24.98 (((~trans(s199, s137)) | (~always25(s199)) | always25(s137)) <=> ((~always25(s199)) | always25(s137) | (~trans(s199, s137)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26256,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s137)) | (~always25(s199)) | always25(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s137) | (~trans(s199, s137))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26255])).
% 24.52/24.98 tff(26257,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s137)) | (~always25(s199)) | always25(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s137) | (~trans(s199, s137)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26256, 26254])).
% 24.52/24.98 tff(26258,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s137)) | (~always25(s199)) | always25(s137))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26259,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s137) | (~trans(s199, s137))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26258, 26257])).
% 24.52/24.98 tff(26260,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26259, 22285, 6146, 26122, 26253])).
% 24.52/24.98 tff(26261,plain,((~trans(s199, s137)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26262,plain,
% 24.52/24.98 (~trans(s199, s137)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26261, 25193])).
% 24.52/24.98 tff(26263,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s109, s110)) | (~always25(s109)) | always25(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s109, s110)) | (~always25(s109)) | always25(s110))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26264,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s109, s110)) | (~always25(s109)) | always25(s110))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26265,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s109, s110)) | (~always25(s109)) | always25(s110)),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26264, 26263])).
% 24.52/24.98 tff(26266,plain,
% 24.52/24.98 ((~always25(s109)) | always25(s110)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26265, 6146, 9131])).
% 24.52/24.98 tff(26267,plain,
% 24.52/24.98 (~always25(s109)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26266, 16601])).
% 24.52/24.98 tff(26268,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s109) | (~trans(s199, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s109) | (~trans(s199, s109)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26269,plain,
% 24.52/24.98 (((~trans(s199, s109)) | (~always25(s199)) | always25(s109)) <=> ((~always25(s199)) | always25(s109) | (~trans(s199, s109)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26270,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s109)) | (~always25(s199)) | always25(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s109) | (~trans(s199, s109))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26269])).
% 24.52/24.98 tff(26271,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s109)) | (~always25(s199)) | always25(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s109) | (~trans(s199, s109)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26270, 26268])).
% 24.52/24.98 tff(26272,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s109)) | (~always25(s199)) | always25(s109))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26273,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s109) | (~trans(s199, s109))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26272, 26271])).
% 24.52/24.98 tff(26274,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26273, 22596, 6146, 26122, 26267])).
% 24.52/24.98 tff(26275,plain,((~trans(s199, s109)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26276,plain,
% 24.52/24.98 (~trans(s199, s109)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26275, 25193])).
% 24.52/24.98 tff(26277,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s75) | (~trans(s199, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s75) | (~trans(s199, s75)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26278,plain,
% 24.52/24.98 (((~trans(s199, s75)) | (~always25(s199)) | always25(s75)) <=> ((~always25(s199)) | always25(s75) | (~trans(s199, s75)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26279,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s75)) | (~always25(s199)) | always25(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s75) | (~trans(s199, s75))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26278])).
% 24.52/24.98 tff(26280,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s75)) | (~always25(s199)) | always25(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s75) | (~trans(s199, s75)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26279, 26277])).
% 24.52/24.98 tff(26281,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s75)) | (~always25(s199)) | always25(s75))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26282,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s75) | (~trans(s199, s75))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 24.52/24.98 tff(26283,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26282, 22607, 6146, 26122, 16853])).
% 24.52/24.98 tff(26284,plain,((~trans(s199, s75)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26285,plain,
% 24.52/24.98 (~trans(s199, s75)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26284, 25193])).
% 24.52/24.98 tff(26286,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s142) | (~trans(s199, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s142) | (~trans(s199, s142)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26287,plain,
% 24.52/24.98 (((~trans(s199, s142)) | (~always25(s199)) | always25(s142)) <=> ((~always25(s199)) | always25(s142) | (~trans(s199, s142)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26288,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s142)) | (~always25(s199)) | always25(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s142) | (~trans(s199, s142))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26287])).
% 24.52/24.98 tff(26289,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s142)) | (~always25(s199)) | always25(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s142) | (~trans(s199, s142)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26288, 26286])).
% 24.52/24.98 tff(26290,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s142)) | (~always25(s199)) | always25(s142))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26291,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s142) | (~trans(s199, s142))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 24.52/24.98 tff(26292,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26291, 22618, 6146, 26122, 16369])).
% 24.52/24.98 tff(26293,plain,((~trans(s199, s142)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26294,plain,
% 24.52/24.98 (~trans(s199, s142)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26293, 25193])).
% 24.52/24.98 tff(26295,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s176) | (~trans(s199, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s176) | (~trans(s199, s176)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26296,plain,
% 24.52/24.98 (((~trans(s199, s176)) | (~always25(s199)) | always25(s176)) <=> ((~always25(s199)) | always25(s176) | (~trans(s199, s176)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26297,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s176)) | (~always25(s199)) | always25(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s176) | (~trans(s199, s176))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26296])).
% 24.52/24.98 tff(26298,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s176)) | (~always25(s199)) | always25(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s176) | (~trans(s199, s176)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26297, 26295])).
% 24.52/24.98 tff(26299,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s176)) | (~always25(s199)) | always25(s176))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26300,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s176) | (~trans(s199, s176))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 24.52/24.98 tff(26301,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26300, 22629, 6146, 26122, 16123])).
% 24.52/24.98 tff(26302,plain,((~trans(s199, s176)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26303,plain,
% 24.52/24.98 (~trans(s199, s176)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26302, 25193])).
% 24.52/24.98 tff(26304,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s70) | (~trans(s199, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s70) | (~trans(s199, s70)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26305,plain,
% 24.52/24.98 (((~trans(s199, s70)) | (~always25(s199)) | always25(s70)) <=> ((~always25(s199)) | always25(s70) | (~trans(s199, s70)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26306,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s70)) | (~always25(s199)) | always25(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s70) | (~trans(s199, s70))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26305])).
% 24.52/24.98 tff(26307,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s70)) | (~always25(s199)) | always25(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s70) | (~trans(s199, s70)))),
% 24.52/24.98 inference(transitivity,[status(thm)],[26306, 26304])).
% 24.52/24.98 tff(26308,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s70)) | (~always25(s199)) | always25(s70))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26309,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s70) | (~trans(s199, s70))),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 24.52/24.98 tff(26310,plain,
% 24.52/24.98 ($false),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26309, 22640, 6146, 26122, 16884])).
% 24.52/24.98 tff(26311,plain,((~trans(s199, s70)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.98 tff(26312,plain,
% 24.52/24.98 (~trans(s199, s70)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26311, 25193])).
% 24.52/24.98 tff(26313,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s133, s134)) | (~always25(s133)) | always25(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s133, s134)) | (~always25(s133)) | always25(s134))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26314,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s133, s134)) | (~always25(s133)) | always25(s134))),
% 24.52/24.98 inference(quant_inst,[status(thm)],[])).
% 24.52/24.98 tff(26315,plain,
% 24.52/24.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s133, s134)) | (~always25(s133)) | always25(s134)),
% 24.52/24.98 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 24.52/24.98 tff(26316,plain,
% 24.52/24.98 ((~always25(s133)) | always25(s134)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26315, 6146, 11015])).
% 24.52/24.98 tff(26317,plain,
% 24.52/24.98 (~always25(s133)),
% 24.52/24.98 inference(unit_resolution,[status(thm)],[26316, 16427])).
% 24.52/24.98 tff(26318,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s133) | (~trans(s199, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s133) | (~trans(s199, s133)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26319,plain,
% 24.52/24.98 (((~trans(s199, s133)) | (~always25(s199)) | always25(s133)) <=> ((~always25(s199)) | always25(s133) | (~trans(s199, s133)))),
% 24.52/24.98 inference(rewrite,[status(thm)],[])).
% 24.52/24.98 tff(26320,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s133)) | (~always25(s199)) | always25(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s133) | (~trans(s199, s133))))),
% 24.52/24.98 inference(monotonicity,[status(thm)],[26319])).
% 24.52/24.98 tff(26321,plain,
% 24.52/24.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s133)) | (~always25(s199)) | always25(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s133) | (~trans(s199, s133)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26320, 26318])).
% 24.52/24.99 tff(26322,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s133)) | (~always25(s199)) | always25(s133))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26323,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s133) | (~trans(s199, s133))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 24.52/24.99 tff(26324,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26323, 22651, 6146, 26122, 26317])).
% 24.52/24.99 tff(26325,plain,((~trans(s199, s133)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26326,plain,
% 24.52/24.99 (~trans(s199, s133)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26325, 25193])).
% 24.52/24.99 tff(26327,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s93, s94)) | (~always25(s93)) | always25(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s93, s94)) | (~always25(s93)) | always25(s94))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26328,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s93, s94)) | (~always25(s93)) | always25(s94))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26329,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s93, s94)) | (~always25(s93)) | always25(s94)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 24.52/24.99 tff(26330,plain,
% 24.52/24.99 ((~always25(s93)) | always25(s94)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26329, 6146, 7875])).
% 24.52/24.99 tff(26331,plain,
% 24.52/24.99 (~always25(s93)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26330, 16717])).
% 24.52/24.99 tff(26332,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s93) | (~trans(s199, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s93) | (~trans(s199, s93)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26333,plain,
% 24.52/24.99 (((~trans(s199, s93)) | (~always25(s199)) | always25(s93)) <=> ((~always25(s199)) | always25(s93) | (~trans(s199, s93)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26334,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s93)) | (~always25(s199)) | always25(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s93) | (~trans(s199, s93))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26333])).
% 24.52/24.99 tff(26335,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s93)) | (~always25(s199)) | always25(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s93) | (~trans(s199, s93)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26334, 26332])).
% 24.52/24.99 tff(26336,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s93)) | (~always25(s199)) | always25(s93))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26337,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s93) | (~trans(s199, s93))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 24.52/24.99 tff(26338,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26337, 22662, 6146, 26122, 26331])).
% 24.52/24.99 tff(26339,plain,((~trans(s199, s93)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26340,plain,
% 24.52/24.99 (~trans(s199, s93)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26339, 25193])).
% 24.52/24.99 tff(26341,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s179) | (~trans(s199, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s179) | (~trans(s199, s179)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26342,plain,
% 24.52/24.99 (((~trans(s199, s179)) | (~always25(s199)) | always25(s179)) <=> ((~always25(s199)) | always25(s179) | (~trans(s199, s179)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26343,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s179)) | (~always25(s199)) | always25(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s179) | (~trans(s199, s179))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26342])).
% 24.52/24.99 tff(26344,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s179)) | (~always25(s199)) | always25(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s179) | (~trans(s199, s179)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26343, 26341])).
% 24.52/24.99 tff(26345,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s179)) | (~always25(s199)) | always25(s179))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26346,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s179) | (~trans(s199, s179))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 24.52/24.99 tff(26347,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26346, 22673, 6146, 26122, 16099])).
% 24.52/24.99 tff(26348,plain,((~trans(s199, s179)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26349,plain,
% 24.52/24.99 (~trans(s199, s179)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26348, 25193])).
% 24.52/24.99 tff(26350,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s49, s50)) | (~always25(s49)) | always25(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s49, s50)) | (~always25(s49)) | always25(s50))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26351,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s49, s50)) | (~always25(s49)) | always25(s50))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26352,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s49, s50)) | (~always25(s49)) | always25(s50)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26351, 26350])).
% 24.52/24.99 tff(26353,plain,
% 24.52/24.99 ((~always25(s49)) | always25(s50)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26352, 6146, 4362])).
% 24.52/24.99 tff(26354,plain,
% 24.52/24.99 (~always25(s49)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26353, 17029])).
% 24.52/24.99 tff(26355,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s49) | (~trans(s199, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s49) | (~trans(s199, s49)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26356,plain,
% 24.52/24.99 (((~trans(s199, s49)) | (~always25(s199)) | always25(s49)) <=> ((~always25(s199)) | always25(s49) | (~trans(s199, s49)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26357,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s49)) | (~always25(s199)) | always25(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s49) | (~trans(s199, s49))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26356])).
% 24.52/24.99 tff(26358,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s49)) | (~always25(s199)) | always25(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s49) | (~trans(s199, s49)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26357, 26355])).
% 24.52/24.99 tff(26359,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s49)) | (~always25(s199)) | always25(s49))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26360,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s49) | (~trans(s199, s49))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26359, 26358])).
% 24.52/24.99 tff(26361,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26360, 22684, 6146, 26122, 26354])).
% 24.52/24.99 tff(26362,plain,((~trans(s199, s49)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26363,plain,
% 24.52/24.99 (~trans(s199, s49)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26362, 25193])).
% 24.52/24.99 tff(26364,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s28) | (~trans(s199, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s28) | (~trans(s199, s28)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26365,plain,
% 24.52/24.99 (((~trans(s199, s28)) | (~always25(s199)) | always25(s28)) <=> ((~always25(s199)) | always25(s28) | (~trans(s199, s28)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26366,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s28)) | (~always25(s199)) | always25(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s28) | (~trans(s199, s28))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26365])).
% 24.52/24.99 tff(26367,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s28)) | (~always25(s199)) | always25(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s28) | (~trans(s199, s28)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26366, 26364])).
% 24.52/24.99 tff(26368,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s28)) | (~always25(s199)) | always25(s28))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26369,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s28) | (~trans(s199, s28))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26368, 26367])).
% 24.52/24.99 tff(26370,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26369, 22695, 6146, 26122, 17189])).
% 24.52/24.99 tff(26371,plain,((~trans(s199, s28)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26372,plain,
% 24.52/24.99 (~trans(s199, s28)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26371, 25193])).
% 24.52/24.99 tff(26373,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s152) | (~trans(s199, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s152) | (~trans(s199, s152)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26374,plain,
% 24.52/24.99 (((~trans(s199, s152)) | (~always25(s199)) | always25(s152)) <=> ((~always25(s199)) | always25(s152) | (~trans(s199, s152)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26375,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s152)) | (~always25(s199)) | always25(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s152) | (~trans(s199, s152))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26374])).
% 24.52/24.99 tff(26376,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s152)) | (~always25(s199)) | always25(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s152) | (~trans(s199, s152)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26375, 26373])).
% 24.52/24.99 tff(26377,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s152)) | (~always25(s199)) | always25(s152))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26378,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s152) | (~trans(s199, s152))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26377, 26376])).
% 24.52/24.99 tff(26379,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26378, 22706, 6146, 26122, 16297])).
% 24.52/24.99 tff(26380,plain,((~trans(s199, s152)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26381,plain,
% 24.52/24.99 (~trans(s199, s152)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26380, 25193])).
% 24.52/24.99 tff(26382,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s57, s58)) | (~always25(s57)) | always25(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s57, s58)) | (~always25(s57)) | always25(s58))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26383,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s57, s58)) | (~always25(s57)) | always25(s58))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26384,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s57, s58)) | (~always25(s57)) | always25(s58)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26383, 26382])).
% 24.52/24.99 tff(26385,plain,
% 24.52/24.99 ((~always25(s57)) | always25(s58)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26384, 6146, 4990])).
% 24.52/24.99 tff(26386,plain,
% 24.52/24.99 (~always25(s57)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26385, 16971])).
% 24.52/24.99 tff(26387,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s57) | (~trans(s199, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s57) | (~trans(s199, s57)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26388,plain,
% 24.52/24.99 (((~trans(s199, s57)) | (~always25(s199)) | always25(s57)) <=> ((~always25(s199)) | always25(s57) | (~trans(s199, s57)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26389,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s57)) | (~always25(s199)) | always25(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s57) | (~trans(s199, s57))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26388])).
% 24.52/24.99 tff(26390,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s57)) | (~always25(s199)) | always25(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s57) | (~trans(s199, s57)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26389, 26387])).
% 24.52/24.99 tff(26391,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s57)) | (~always25(s199)) | always25(s57))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26392,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s57) | (~trans(s199, s57))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26391, 26390])).
% 24.52/24.99 tff(26393,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26392, 22717, 6146, 26122, 26386])).
% 24.52/24.99 tff(26394,plain,((~trans(s199, s57)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26395,plain,
% 24.52/24.99 (~trans(s199, s57)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26394, 25193])).
% 24.52/24.99 tff(26396,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s185, s186)) | (~always25(s185)) | always25(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s185, s186)) | (~always25(s185)) | always25(s186))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26397,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s185, s186)) | (~always25(s185)) | always25(s186))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26398,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s185, s186)) | (~always25(s185)) | always25(s186)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26397, 26396])).
% 24.52/24.99 tff(26399,plain,
% 24.52/24.99 ((~always25(s185)) | always25(s186)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26398, 6146, 15078])).
% 24.52/24.99 tff(26400,plain,
% 24.52/24.99 (~always25(s185)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26399, 16050])).
% 24.52/24.99 tff(26401,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s185) | (~trans(s199, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s185) | (~trans(s199, s185)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26402,plain,
% 24.52/24.99 (((~trans(s199, s185)) | (~always25(s199)) | always25(s185)) <=> ((~always25(s199)) | always25(s185) | (~trans(s199, s185)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26403,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s185)) | (~always25(s199)) | always25(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s185) | (~trans(s199, s185))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26402])).
% 24.52/24.99 tff(26404,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s185)) | (~always25(s199)) | always25(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s185) | (~trans(s199, s185)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26403, 26401])).
% 24.52/24.99 tff(26405,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s185)) | (~always25(s199)) | always25(s185))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26406,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s185) | (~trans(s199, s185))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 24.52/24.99 tff(26407,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26406, 22728, 6146, 26122, 26400])).
% 24.52/24.99 tff(26408,plain,((~trans(s199, s185)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26409,plain,
% 24.52/24.99 (~trans(s199, s185)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26408, 25193])).
% 24.52/24.99 tff(26410,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s81, s82)) | (~always25(s81)) | always25(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s81, s82)) | (~always25(s81)) | always25(s82))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26411,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s81, s82)) | (~always25(s81)) | always25(s82))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26412,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s81, s82)) | (~always25(s81)) | always25(s82)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 24.52/24.99 tff(26413,plain,
% 24.52/24.99 ((~always25(s81)) | always25(s82)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26412, 6146, 6914])).
% 24.52/24.99 tff(26414,plain,
% 24.52/24.99 (~always25(s81)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26413, 16804])).
% 24.52/24.99 tff(26415,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s81) | (~trans(s199, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s81) | (~trans(s199, s81)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26416,plain,
% 24.52/24.99 (((~trans(s199, s81)) | (~always25(s199)) | always25(s81)) <=> ((~always25(s199)) | always25(s81) | (~trans(s199, s81)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26417,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s81)) | (~always25(s199)) | always25(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s81) | (~trans(s199, s81))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26416])).
% 24.52/24.99 tff(26418,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s81)) | (~always25(s199)) | always25(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s81) | (~trans(s199, s81)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26417, 26415])).
% 24.52/24.99 tff(26419,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s81)) | (~always25(s199)) | always25(s81))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26420,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s81) | (~trans(s199, s81))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26419, 26418])).
% 24.52/24.99 tff(26421,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26420, 22739, 6146, 26122, 26414])).
% 24.52/24.99 tff(26422,plain,((~trans(s199, s81)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26423,plain,
% 24.52/24.99 (~trans(s199, s81)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26422, 25193])).
% 24.52/24.99 tff(26424,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s52) | (~trans(s199, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s52) | (~trans(s199, s52)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26425,plain,
% 24.52/24.99 (((~trans(s199, s52)) | (~always25(s199)) | always25(s52)) <=> ((~always25(s199)) | always25(s52) | (~trans(s199, s52)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26426,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s52)) | (~always25(s199)) | always25(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s52) | (~trans(s199, s52))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26425])).
% 24.52/24.99 tff(26427,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s52)) | (~always25(s199)) | always25(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s52) | (~trans(s199, s52)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26426, 26424])).
% 24.52/24.99 tff(26428,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s52)) | (~always25(s199)) | always25(s52))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26429,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s52) | (~trans(s199, s52))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26428, 26427])).
% 24.52/24.99 tff(26430,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26429, 22750, 6146, 26122, 17015])).
% 24.52/24.99 tff(26431,plain,((~trans(s199, s52)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26432,plain,
% 24.52/24.99 (~trans(s199, s52)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26431, 25193])).
% 24.52/24.99 tff(26433,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s17, s18)) | (~always25(s17)) | always25(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s17, s18)) | (~always25(s17)) | always25(s18))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26434,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s17, s18)) | (~always25(s17)) | always25(s18))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26435,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s17, s18)) | (~always25(s17)) | always25(s18)),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 24.52/24.99 tff(26436,plain,
% 24.52/24.99 ((~always25(s17)) | always25(s18)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26435, 6146, 1850])).
% 24.52/24.99 tff(26437,plain,
% 24.52/24.99 (~always25(s17)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26436, 17261])).
% 24.52/24.99 tff(26438,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s17) | (~trans(s199, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s17) | (~trans(s199, s17)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26439,plain,
% 24.52/24.99 (((~trans(s199, s17)) | (~always25(s199)) | always25(s17)) <=> ((~always25(s199)) | always25(s17) | (~trans(s199, s17)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26440,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s17)) | (~always25(s199)) | always25(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s17) | (~trans(s199, s17))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26439])).
% 24.52/24.99 tff(26441,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s17)) | (~always25(s199)) | always25(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s17) | (~trans(s199, s17)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26440, 26438])).
% 24.52/24.99 tff(26442,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s17)) | (~always25(s199)) | always25(s17))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26443,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s17) | (~trans(s199, s17))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26442, 26441])).
% 24.52/24.99 tff(26444,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26443, 22761, 6146, 26122, 26437])).
% 24.52/24.99 tff(26445,plain,((~trans(s199, s17)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26446,plain,
% 24.52/24.99 (~trans(s199, s17)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26445, 25193])).
% 24.52/24.99 tff(26447,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s36) | (~trans(s199, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s36) | (~trans(s199, s36)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26448,plain,
% 24.52/24.99 (((~trans(s199, s36)) | (~always25(s199)) | always25(s36)) <=> ((~always25(s199)) | always25(s36) | (~trans(s199, s36)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26449,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s36)) | (~always25(s199)) | always25(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s36) | (~trans(s199, s36))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26448])).
% 24.52/24.99 tff(26450,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s36)) | (~always25(s199)) | always25(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s36) | (~trans(s199, s36)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26449, 26447])).
% 24.52/24.99 tff(26451,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s36)) | (~always25(s199)) | always25(s36))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26452,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s36) | (~trans(s199, s36))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 24.52/24.99 tff(26453,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26452, 22772, 6146, 26122, 17131])).
% 24.52/24.99 tff(26454,plain,((~trans(s199, s36)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26455,plain,
% 24.52/24.99 (~trans(s199, s36)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26454, 25193])).
% 24.52/24.99 tff(26456,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s87) | (~trans(s199, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s87) | (~trans(s199, s87)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26457,plain,
% 24.52/24.99 (((~trans(s199, s87)) | (~always25(s199)) | always25(s87)) <=> ((~always25(s199)) | always25(s87) | (~trans(s199, s87)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26458,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s87)) | (~always25(s199)) | always25(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s87) | (~trans(s199, s87))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26457])).
% 24.52/24.99 tff(26459,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s87)) | (~always25(s199)) | always25(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s87) | (~trans(s199, s87)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26458, 26456])).
% 24.52/24.99 tff(26460,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s87)) | (~always25(s199)) | always25(s87))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26461,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s87) | (~trans(s199, s87))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 24.52/24.99 tff(26462,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26461, 22783, 6146, 26122, 16766])).
% 24.52/24.99 tff(26463,plain,((~trans(s199, s87)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26464,plain,
% 24.52/24.99 (~trans(s199, s87)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26463, 25193])).
% 24.52/24.99 tff(26465,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s123) | (~trans(s199, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s123) | (~trans(s199, s123)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26466,plain,
% 24.52/24.99 (((~trans(s199, s123)) | (~always25(s199)) | always25(s123)) <=> ((~always25(s199)) | always25(s123) | (~trans(s199, s123)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26467,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s123)) | (~always25(s199)) | always25(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s123) | (~trans(s199, s123))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26466])).
% 24.52/24.99 tff(26468,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s123)) | (~always25(s199)) | always25(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s123) | (~trans(s199, s123)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26467, 26465])).
% 24.52/24.99 tff(26469,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s123)) | (~always25(s199)) | always25(s123))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26470,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s123) | (~trans(s199, s123))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 24.52/24.99 tff(26471,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26470, 22794, 6146, 26122, 16505])).
% 24.52/24.99 tff(26472,plain,((~trans(s199, s123)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26473,plain,
% 24.52/24.99 (~trans(s199, s123)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26472, 25193])).
% 24.52/24.99 tff(26474,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s24) | (~trans(s199, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s24) | (~trans(s199, s24)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26475,plain,
% 24.52/24.99 (((~trans(s199, s24)) | (~always25(s199)) | always25(s24)) <=> ((~always25(s199)) | always25(s24) | (~trans(s199, s24)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26476,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s24)) | (~always25(s199)) | always25(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s24) | (~trans(s199, s24))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26475])).
% 24.52/24.99 tff(26477,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s24)) | (~always25(s199)) | always25(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s24) | (~trans(s199, s24)))),
% 24.52/24.99 inference(transitivity,[status(thm)],[26476, 26474])).
% 24.52/24.99 tff(26478,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s24)) | (~always25(s199)) | always25(s24))),
% 24.52/24.99 inference(quant_inst,[status(thm)],[])).
% 24.52/24.99 tff(26479,plain,
% 24.52/24.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s24) | (~trans(s199, s24))),
% 24.52/24.99 inference(modus_ponens,[status(thm)],[26478, 26477])).
% 24.52/24.99 tff(26480,plain,
% 24.52/24.99 ($false),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26479, 22805, 6146, 26122, 17218])).
% 24.52/24.99 tff(26481,plain,((~trans(s199, s24)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/24.99 tff(26482,plain,
% 24.52/24.99 (~trans(s199, s24)),
% 24.52/24.99 inference(unit_resolution,[status(thm)],[26481, 25193])).
% 24.52/24.99 tff(26483,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s91) | (~trans(s199, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s91) | (~trans(s199, s91)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26484,plain,
% 24.52/24.99 (((~trans(s199, s91)) | (~always25(s199)) | always25(s91)) <=> ((~always25(s199)) | always25(s91) | (~trans(s199, s91)))),
% 24.52/24.99 inference(rewrite,[status(thm)],[])).
% 24.52/24.99 tff(26485,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s91)) | (~always25(s199)) | always25(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s91) | (~trans(s199, s91))))),
% 24.52/24.99 inference(monotonicity,[status(thm)],[26484])).
% 24.52/24.99 tff(26486,plain,
% 24.52/24.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s91)) | (~always25(s199)) | always25(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s91) | (~trans(s199, s91)))),
% 24.52/25.00 inference(transitivity,[status(thm)],[26485, 26483])).
% 24.52/25.00 tff(26487,plain,
% 24.52/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s91)) | (~always25(s199)) | always25(s91))),
% 24.52/25.00 inference(quant_inst,[status(thm)],[])).
% 24.52/25.00 tff(26488,plain,
% 24.52/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s91) | (~trans(s199, s91))),
% 24.52/25.00 inference(modus_ponens,[status(thm)],[26487, 26486])).
% 24.52/25.00 tff(26489,plain,
% 24.52/25.00 ($false),
% 24.52/25.00 inference(unit_resolution,[status(thm)],[26488, 22816, 6146, 26122, 16737])).
% 24.52/25.00 tff(26490,plain,((~trans(s199, s91)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/25.00 tff(26491,plain,
% 24.52/25.00 (~trans(s199, s91)),
% 24.52/25.00 inference(unit_resolution,[status(thm)],[26490, 25193])).
% 24.52/25.00 tff(26492,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s38) | (~trans(s199, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s38) | (~trans(s199, s38)))),
% 24.52/25.00 inference(rewrite,[status(thm)],[])).
% 24.52/25.00 tff(26493,plain,
% 24.52/25.00 (((~trans(s199, s38)) | (~always25(s199)) | always25(s38)) <=> ((~always25(s199)) | always25(s38) | (~trans(s199, s38)))),
% 24.52/25.00 inference(rewrite,[status(thm)],[])).
% 24.52/25.00 tff(26494,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s38)) | (~always25(s199)) | always25(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s38) | (~trans(s199, s38))))),
% 24.52/25.00 inference(monotonicity,[status(thm)],[26493])).
% 24.52/25.00 tff(26495,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s38)) | (~always25(s199)) | always25(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s38) | (~trans(s199, s38)))),
% 24.52/25.00 inference(transitivity,[status(thm)],[26494, 26492])).
% 24.52/25.00 tff(26496,plain,
% 24.52/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s38)) | (~always25(s199)) | always25(s38))),
% 24.52/25.00 inference(quant_inst,[status(thm)],[])).
% 24.52/25.00 tff(26497,plain,
% 24.52/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s38) | (~trans(s199, s38))),
% 24.52/25.00 inference(modus_ponens,[status(thm)],[26496, 26495])).
% 24.52/25.00 tff(26498,plain,
% 24.52/25.00 ($false),
% 24.52/25.00 inference(unit_resolution,[status(thm)],[26497, 22827, 6146, 26122, 17116])).
% 24.52/25.00 tff(26499,plain,((~trans(s199, s38)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.52/25.00 tff(26500,plain,
% 24.52/25.00 (~trans(s199, s38)),
% 24.52/25.00 inference(unit_resolution,[status(thm)],[26499, 25193])).
% 24.52/25.00 tff(26501,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s16) | (~trans(s199, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s16) | (~trans(s199, s16)))),
% 24.52/25.00 inference(rewrite,[status(thm)],[])).
% 24.52/25.00 tff(26502,plain,
% 24.52/25.00 (((~trans(s199, s16)) | (~always25(s199)) | always25(s16)) <=> ((~always25(s199)) | always25(s16) | (~trans(s199, s16)))),
% 24.52/25.00 inference(rewrite,[status(thm)],[])).
% 24.52/25.00 tff(26503,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s16)) | (~always25(s199)) | always25(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s16) | (~trans(s199, s16))))),
% 24.52/25.00 inference(monotonicity,[status(thm)],[26502])).
% 24.52/25.00 tff(26504,plain,
% 24.52/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s16)) | (~always25(s199)) | always25(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s16) | (~trans(s199, s16)))),
% 24.52/25.00 inference(transitivity,[status(thm)],[26503, 26501])).
% 24.61/25.00 tff(26505,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s16)) | (~always25(s199)) | always25(s16))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26506,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s16) | (~trans(s199, s16))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26505, 26504])).
% 24.61/25.00 tff(26507,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26506, 22838, 6146, 26122, 17276])).
% 24.61/25.00 tff(26508,plain,((~trans(s199, s16)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26509,plain,
% 24.61/25.00 (~trans(s199, s16)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26508, 25193])).
% 24.61/25.00 tff(26510,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s27) | (~trans(s199, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s27) | (~trans(s199, s27)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26511,plain,
% 24.61/25.00 (((~trans(s199, s27)) | (~always25(s199)) | always25(s27)) <=> ((~always25(s199)) | always25(s27) | (~trans(s199, s27)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26512,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s27)) | (~always25(s199)) | always25(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s27) | (~trans(s199, s27))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26511])).
% 24.61/25.00 tff(26513,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s27)) | (~always25(s199)) | always25(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s27) | (~trans(s199, s27)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26512, 26510])).
% 24.61/25.00 tff(26514,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s27)) | (~always25(s199)) | always25(s27))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26515,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s27) | (~trans(s199, s27))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26514, 26513])).
% 24.61/25.00 tff(26516,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26515, 22849, 6146, 26122, 17194])).
% 24.61/25.00 tff(26517,plain,((~trans(s199, s27)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26518,plain,
% 24.61/25.00 (~trans(s199, s27)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26517, 25193])).
% 24.61/25.00 tff(26519,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s64) | (~trans(s199, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s64) | (~trans(s199, s64)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26520,plain,
% 24.61/25.00 (((~trans(s199, s64)) | (~always25(s199)) | always25(s64)) <=> ((~always25(s199)) | always25(s64) | (~trans(s199, s64)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26521,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s64)) | (~always25(s199)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s64) | (~trans(s199, s64))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26520])).
% 24.61/25.00 tff(26522,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s64)) | (~always25(s199)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s64) | (~trans(s199, s64)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26521, 26519])).
% 24.61/25.00 tff(26523,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s64)) | (~always25(s199)) | always25(s64))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26524,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s64) | (~trans(s199, s64))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 24.61/25.00 tff(26525,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26524, 22860, 6146, 26122, 16928])).
% 24.61/25.00 tff(26526,plain,((~trans(s199, s64)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26527,plain,
% 24.61/25.00 (~trans(s199, s64)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26526, 25193])).
% 24.61/25.00 tff(26528,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s85, s86)) | (~always25(s85)) | always25(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s85, s86)) | (~always25(s85)) | always25(s86))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26529,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s85, s86)) | (~always25(s85)) | always25(s86))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26530,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s85, s86)) | (~always25(s85)) | always25(s86)),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 24.61/25.00 tff(26531,plain,
% 24.61/25.00 ((~always25(s85)) | always25(s86)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26530, 6146, 7247])).
% 24.61/25.00 tff(26532,plain,
% 24.61/25.00 (~always25(s85)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26531, 16775])).
% 24.61/25.00 tff(26533,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s85) | (~trans(s199, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s85) | (~trans(s199, s85)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26534,plain,
% 24.61/25.00 (((~trans(s199, s85)) | (~always25(s199)) | always25(s85)) <=> ((~always25(s199)) | always25(s85) | (~trans(s199, s85)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26535,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s85)) | (~always25(s199)) | always25(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s85) | (~trans(s199, s85))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26534])).
% 24.61/25.00 tff(26536,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s85)) | (~always25(s199)) | always25(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s85) | (~trans(s199, s85)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26535, 26533])).
% 24.61/25.00 tff(26537,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s85)) | (~always25(s199)) | always25(s85))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26538,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s85) | (~trans(s199, s85))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 24.61/25.00 tff(26539,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26538, 22871, 6146, 26122, 26532])).
% 24.61/25.00 tff(26540,plain,((~trans(s199, s85)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26541,plain,
% 24.61/25.00 (~trans(s199, s85)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26540, 25193])).
% 24.61/25.00 tff(26542,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s131) | (~trans(s199, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s131) | (~trans(s199, s131)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26543,plain,
% 24.61/25.00 (((~trans(s199, s131)) | (~always25(s199)) | always25(s131)) <=> ((~always25(s199)) | always25(s131) | (~trans(s199, s131)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26544,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s131)) | (~always25(s199)) | always25(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s131) | (~trans(s199, s131))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26543])).
% 24.61/25.00 tff(26545,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s131)) | (~always25(s199)) | always25(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s131) | (~trans(s199, s131)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26544, 26542])).
% 24.61/25.00 tff(26546,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s131)) | (~always25(s199)) | always25(s131))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26547,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s131) | (~trans(s199, s131))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26546, 26545])).
% 24.61/25.00 tff(26548,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26547, 22882, 6146, 26122, 16447])).
% 24.61/25.00 tff(26549,plain,((~trans(s199, s131)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26550,plain,
% 24.61/25.00 (~trans(s199, s131)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26549, 25193])).
% 24.61/25.00 tff(26551,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s41, s42)) | (~always25(s41)) | always25(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s41, s42)) | (~always25(s41)) | always25(s42))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26552,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s41, s42)) | (~always25(s41)) | always25(s42))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26553,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s41, s42)) | (~always25(s41)) | always25(s42)),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26552, 26551])).
% 24.61/25.00 tff(26554,plain,
% 24.61/25.00 ((~always25(s41)) | always25(s42)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26553, 6146, 3734])).
% 24.61/25.00 tff(26555,plain,
% 24.61/25.00 (~always25(s41)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26554, 17087])).
% 24.61/25.00 tff(26556,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s41) | (~trans(s199, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s41) | (~trans(s199, s41)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26557,plain,
% 24.61/25.00 (((~trans(s199, s41)) | (~always25(s199)) | always25(s41)) <=> ((~always25(s199)) | always25(s41) | (~trans(s199, s41)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26558,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s41)) | (~always25(s199)) | always25(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s41) | (~trans(s199, s41))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26557])).
% 24.61/25.00 tff(26559,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s41)) | (~always25(s199)) | always25(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s41) | (~trans(s199, s41)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26558, 26556])).
% 24.61/25.00 tff(26560,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s41)) | (~always25(s199)) | always25(s41))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26561,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s41) | (~trans(s199, s41))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26560, 26559])).
% 24.61/25.00 tff(26562,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26561, 22893, 6146, 26122, 26555])).
% 24.61/25.00 tff(26563,plain,((~trans(s199, s41)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26564,plain,
% 24.61/25.00 (~trans(s199, s41)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26563, 25193])).
% 24.61/25.00 tff(26565,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s121, s122)) | (~always25(s121)) | always25(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s121, s122)) | (~always25(s121)) | always25(s122))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26566,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s121, s122)) | (~always25(s121)) | always25(s122))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26567,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s121, s122)) | (~always25(s121)) | always25(s122)),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26566, 26565])).
% 24.61/25.00 tff(26568,plain,
% 24.61/25.00 ((~always25(s121)) | always25(s122)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26567, 6146, 10054])).
% 24.61/25.00 tff(26569,plain,
% 24.61/25.00 (~always25(s121)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26568, 16514])).
% 24.61/25.00 tff(26570,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s121) | (~trans(s199, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s121) | (~trans(s199, s121)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26571,plain,
% 24.61/25.00 (((~trans(s199, s121)) | (~always25(s199)) | always25(s121)) <=> ((~always25(s199)) | always25(s121) | (~trans(s199, s121)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26572,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s121)) | (~always25(s199)) | always25(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s121) | (~trans(s199, s121))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26571])).
% 24.61/25.00 tff(26573,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s121)) | (~always25(s199)) | always25(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s121) | (~trans(s199, s121)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26572, 26570])).
% 24.61/25.00 tff(26574,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s121)) | (~always25(s199)) | always25(s121))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26575,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s121) | (~trans(s199, s121))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26574, 26573])).
% 24.61/25.00 tff(26576,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26575, 22904, 6146, 26122, 26569])).
% 24.61/25.00 tff(26577,plain,((~trans(s199, s121)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26578,plain,
% 24.61/25.00 (~trans(s199, s121)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26577, 25193])).
% 24.61/25.00 tff(26579,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s39) | (~trans(s199, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s39) | (~trans(s199, s39)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26580,plain,
% 24.61/25.00 (((~trans(s199, s39)) | (~always25(s199)) | always25(s39)) <=> ((~always25(s199)) | always25(s39) | (~trans(s199, s39)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26581,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s39)) | (~always25(s199)) | always25(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s39) | (~trans(s199, s39))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26580])).
% 24.61/25.00 tff(26582,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s39)) | (~always25(s199)) | always25(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s39) | (~trans(s199, s39)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26581, 26579])).
% 24.61/25.00 tff(26583,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s39)) | (~always25(s199)) | always25(s39))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26584,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s39) | (~trans(s199, s39))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26583, 26582])).
% 24.61/25.00 tff(26585,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26584, 22915, 6146, 26122, 17107])).
% 24.61/25.00 tff(26586,plain,((~trans(s199, s39)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26587,plain,
% 24.61/25.00 (~trans(s199, s39)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26586, 25193])).
% 24.61/25.00 tff(26588,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s150) | (~trans(s199, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s150) | (~trans(s199, s150)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26589,plain,
% 24.61/25.00 (((~trans(s199, s150)) | (~always25(s199)) | always25(s150)) <=> ((~always25(s199)) | always25(s150) | (~trans(s199, s150)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26590,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s150)) | (~always25(s199)) | always25(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s150) | (~trans(s199, s150))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26589])).
% 24.61/25.00 tff(26591,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s150)) | (~always25(s199)) | always25(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s150) | (~trans(s199, s150)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26590, 26588])).
% 24.61/25.00 tff(26592,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s150)) | (~always25(s199)) | always25(s150))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26593,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s150) | (~trans(s199, s150))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 24.61/25.00 tff(26594,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26593, 23090, 6146, 26122, 16311])).
% 24.61/25.00 tff(26595,plain,((~trans(s199, s150)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26596,plain,
% 24.61/25.00 (~trans(s199, s150)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26595, 25193])).
% 24.61/25.00 tff(26597,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s37, s38)) | (~always25(s37)) | always25(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s37, s38)) | (~always25(s37)) | always25(s38))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26598,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s37, s38)) | (~always25(s37)) | always25(s38))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26599,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s37, s38)) | (~always25(s37)) | always25(s38)),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26598, 26597])).
% 24.61/25.00 tff(26600,plain,
% 24.61/25.00 ((~always25(s37)) | always25(s38)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26599, 6146, 3401])).
% 24.61/25.00 tff(26601,plain,
% 24.61/25.00 (~always25(s37)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26600, 17116])).
% 24.61/25.00 tff(26602,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s37) | (~trans(s199, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s37) | (~trans(s199, s37)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26603,plain,
% 24.61/25.00 (((~trans(s199, s37)) | (~always25(s199)) | always25(s37)) <=> ((~always25(s199)) | always25(s37) | (~trans(s199, s37)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26604,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s37)) | (~always25(s199)) | always25(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s37) | (~trans(s199, s37))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26603])).
% 24.61/25.00 tff(26605,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s37)) | (~always25(s199)) | always25(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s37) | (~trans(s199, s37)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26604, 26602])).
% 24.61/25.00 tff(26606,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s37)) | (~always25(s199)) | always25(s37))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26607,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s37) | (~trans(s199, s37))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26606, 26605])).
% 24.61/25.00 tff(26608,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26607, 23101, 6146, 26122, 26601])).
% 24.61/25.00 tff(26609,plain,((~trans(s199, s37)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26610,plain,
% 24.61/25.00 (~trans(s199, s37)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26609, 25193])).
% 24.61/25.00 tff(26611,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s54) | (~trans(s199, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s54) | (~trans(s199, s54)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26612,plain,
% 24.61/25.00 (((~trans(s199, s54)) | (~always25(s199)) | always25(s54)) <=> ((~always25(s199)) | always25(s54) | (~trans(s199, s54)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26613,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s54)) | (~always25(s199)) | always25(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s54) | (~trans(s199, s54))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26612])).
% 24.61/25.00 tff(26614,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s54)) | (~always25(s199)) | always25(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s54) | (~trans(s199, s54)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26613, 26611])).
% 24.61/25.00 tff(26615,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s54)) | (~always25(s199)) | always25(s54))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26616,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s54) | (~trans(s199, s54))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26615, 26614])).
% 24.61/25.00 tff(26617,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26616, 23112, 6146, 26122, 17000])).
% 24.61/25.00 tff(26618,plain,((~trans(s199, s54)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26619,plain,
% 24.61/25.00 (~trans(s199, s54)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26618, 25193])).
% 24.61/25.00 tff(26620,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s95) | (~trans(s199, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s95) | (~trans(s199, s95)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26621,plain,
% 24.61/25.00 (((~trans(s199, s95)) | (~always25(s199)) | always25(s95)) <=> ((~always25(s199)) | always25(s95) | (~trans(s199, s95)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26622,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s95)) | (~always25(s199)) | always25(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s95) | (~trans(s199, s95))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26621])).
% 24.61/25.00 tff(26623,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s95)) | (~always25(s199)) | always25(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s95) | (~trans(s199, s95)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26622, 26620])).
% 24.61/25.00 tff(26624,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s95)) | (~always25(s199)) | always25(s95))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26625,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s95) | (~trans(s199, s95))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 24.61/25.00 tff(26626,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26625, 23123, 6146, 26122, 16708])).
% 24.61/25.00 tff(26627,plain,((~trans(s199, s95)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26628,plain,
% 24.61/25.00 (~trans(s199, s95)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26627, 25193])).
% 24.61/25.00 tff(26629,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s13, s14)) | (~always25(s13)) | always25(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s13, s14)) | (~always25(s13)) | always25(s14))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26630,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s13, s14)) | (~always25(s13)) | always25(s14))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26631,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s13, s14)) | (~always25(s13)) | always25(s14)),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 24.61/25.00 tff(26632,plain,
% 24.61/25.00 ((~always25(s13)) | always25(s14)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26631, 6146, 1517])).
% 24.61/25.00 tff(26633,plain,
% 24.61/25.00 (~always25(s13)),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26632, 17290])).
% 24.61/25.00 tff(26634,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s13) | (~trans(s199, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s13) | (~trans(s199, s13)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26635,plain,
% 24.61/25.00 (((~trans(s199, s13)) | (~always25(s199)) | always25(s13)) <=> ((~always25(s199)) | always25(s13) | (~trans(s199, s13)))),
% 24.61/25.00 inference(rewrite,[status(thm)],[])).
% 24.61/25.00 tff(26636,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s13)) | (~always25(s199)) | always25(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s13) | (~trans(s199, s13))))),
% 24.61/25.00 inference(monotonicity,[status(thm)],[26635])).
% 24.61/25.00 tff(26637,plain,
% 24.61/25.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s13)) | (~always25(s199)) | always25(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s13) | (~trans(s199, s13)))),
% 24.61/25.00 inference(transitivity,[status(thm)],[26636, 26634])).
% 24.61/25.00 tff(26638,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s13)) | (~always25(s199)) | always25(s13))),
% 24.61/25.00 inference(quant_inst,[status(thm)],[])).
% 24.61/25.00 tff(26639,plain,
% 24.61/25.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s13) | (~trans(s199, s13))),
% 24.61/25.00 inference(modus_ponens,[status(thm)],[26638, 26637])).
% 24.61/25.00 tff(26640,plain,
% 24.61/25.00 ($false),
% 24.61/25.00 inference(unit_resolution,[status(thm)],[26639, 23134, 6146, 26122, 26633])).
% 24.61/25.00 tff(26641,plain,((~trans(s199, s13)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.00 tff(26642,plain,
% 24.61/25.00 (~trans(s199, s13)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26641, 25193])).
% 24.61/25.01 tff(26643,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s66) | (~trans(s199, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s66) | (~trans(s199, s66)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26644,plain,
% 24.61/25.01 (((~trans(s199, s66)) | (~always25(s199)) | always25(s66)) <=> ((~always25(s199)) | always25(s66) | (~trans(s199, s66)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26645,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s66)) | (~always25(s199)) | always25(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s66) | (~trans(s199, s66))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26644])).
% 24.61/25.01 tff(26646,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s66)) | (~always25(s199)) | always25(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s66) | (~trans(s199, s66)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26645, 26643])).
% 24.61/25.01 tff(26647,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s66)) | (~always25(s199)) | always25(s66))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26648,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s66) | (~trans(s199, s66))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26647, 26646])).
% 24.61/25.01 tff(26649,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26648, 23145, 6146, 26122, 16913])).
% 24.61/25.01 tff(26650,plain,((~trans(s199, s66)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26651,plain,
% 24.61/25.01 (~trans(s199, s66)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26650, 25193])).
% 24.61/25.01 tff(26652,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s113, s114)) | (~always25(s113)) | always25(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s113, s114)) | (~always25(s113)) | always25(s114))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26653,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s113, s114)) | (~always25(s113)) | always25(s114))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26654,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s113, s114)) | (~always25(s113)) | always25(s114)),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 24.61/25.01 tff(26655,plain,
% 24.61/25.01 ((~always25(s113)) | always25(s114)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26654, 6146, 9426])).
% 24.61/25.01 tff(26656,plain,
% 24.61/25.01 (~always25(s113)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26655, 16572])).
% 24.61/25.01 tff(26657,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s113) | (~trans(s199, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s113) | (~trans(s199, s113)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26658,plain,
% 24.61/25.01 (((~trans(s199, s113)) | (~always25(s199)) | always25(s113)) <=> ((~always25(s199)) | always25(s113) | (~trans(s199, s113)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26659,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s113)) | (~always25(s199)) | always25(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s113) | (~trans(s199, s113))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26658])).
% 24.61/25.01 tff(26660,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s113)) | (~always25(s199)) | always25(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s113) | (~trans(s199, s113)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26659, 26657])).
% 24.61/25.01 tff(26661,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s113)) | (~always25(s199)) | always25(s113))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26662,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s113) | (~trans(s199, s113))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 24.61/25.01 tff(26663,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26662, 23156, 6146, 26122, 26656])).
% 24.61/25.01 tff(26664,plain,((~trans(s199, s113)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26665,plain,
% 24.61/25.01 (~trans(s199, s113)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26664, 25193])).
% 24.61/25.01 tff(26666,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s88) | (~trans(s199, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s88) | (~trans(s199, s88)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26667,plain,
% 24.61/25.01 (((~trans(s199, s88)) | (~always25(s199)) | always25(s88)) <=> ((~always25(s199)) | always25(s88) | (~trans(s199, s88)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26668,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s88)) | (~always25(s199)) | always25(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s88) | (~trans(s199, s88))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26667])).
% 24.61/25.01 tff(26669,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s88)) | (~always25(s199)) | always25(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s88) | (~trans(s199, s88)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26668, 26666])).
% 24.61/25.01 tff(26670,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s88)) | (~always25(s199)) | always25(s88))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26671,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s88) | (~trans(s199, s88))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26670, 26669])).
% 24.61/25.01 tff(26672,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26671, 23167, 6146, 26122, 16761])).
% 24.61/25.01 tff(26673,plain,((~trans(s199, s88)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26674,plain,
% 24.61/25.01 (~trans(s199, s88)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26673, 25193])).
% 24.61/25.01 tff(26675,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s194) | (~trans(s199, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s194) | (~trans(s199, s194)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26676,plain,
% 24.61/25.01 (((~trans(s199, s194)) | (~always25(s199)) | always25(s194)) <=> ((~always25(s199)) | always25(s194) | (~trans(s199, s194)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26677,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s194)) | (~always25(s199)) | always25(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s194) | (~trans(s199, s194))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26676])).
% 24.61/25.01 tff(26678,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s194)) | (~always25(s199)) | always25(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s194) | (~trans(s199, s194)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26677, 26675])).
% 24.61/25.01 tff(26679,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s194)) | (~always25(s199)) | always25(s194))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26680,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s194) | (~trans(s199, s194))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26679, 26678])).
% 24.61/25.01 tff(26681,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26680, 23178, 6146, 26122, 15992])).
% 24.61/25.01 tff(26682,plain,((~trans(s199, s194)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26683,plain,
% 24.61/25.01 (~trans(s199, s194)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26682, 25193])).
% 24.61/25.01 tff(26684,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s90) | (~trans(s199, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s90) | (~trans(s199, s90)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26685,plain,
% 24.61/25.01 (((~trans(s199, s90)) | (~always25(s199)) | always25(s90)) <=> ((~always25(s199)) | always25(s90) | (~trans(s199, s90)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26686,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s90)) | (~always25(s199)) | always25(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s90) | (~trans(s199, s90))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26685])).
% 24.61/25.01 tff(26687,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s90)) | (~always25(s199)) | always25(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s90) | (~trans(s199, s90)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26686, 26684])).
% 24.61/25.01 tff(26688,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s90)) | (~always25(s199)) | always25(s90))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26689,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s90) | (~trans(s199, s90))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26688, 26687])).
% 24.61/25.01 tff(26690,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26689, 23189, 6146, 26122, 16746])).
% 24.61/25.01 tff(26691,plain,((~trans(s199, s90)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26692,plain,
% 24.61/25.01 (~trans(s199, s90)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26691, 25193])).
% 24.61/25.01 tff(26693,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s31) | (~trans(s199, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s31) | (~trans(s199, s31)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26694,plain,
% 24.61/25.01 (((~trans(s199, s31)) | (~always25(s199)) | always25(s31)) <=> ((~always25(s199)) | always25(s31) | (~trans(s199, s31)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26695,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s31)) | (~always25(s199)) | always25(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s31) | (~trans(s199, s31))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26694])).
% 24.61/25.01 tff(26696,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s31)) | (~always25(s199)) | always25(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s31) | (~trans(s199, s31)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26695, 26693])).
% 24.61/25.01 tff(26697,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s31)) | (~always25(s199)) | always25(s31))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26698,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s31) | (~trans(s199, s31))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 24.61/25.01 tff(26699,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26698, 23200, 6146, 26122, 17165])).
% 24.61/25.01 tff(26700,plain,((~trans(s199, s31)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26701,plain,
% 24.61/25.01 (~trans(s199, s31)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26700, 25193])).
% 24.61/25.01 tff(26702,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s105, s106)) | (~always25(s105)) | always25(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s105, s106)) | (~always25(s105)) | always25(s106))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26703,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s105, s106)) | (~always25(s105)) | always25(s106))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26704,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s105, s106)) | (~always25(s105)) | always25(s106)),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 24.61/25.01 tff(26705,plain,
% 24.61/25.01 ((~always25(s105)) | always25(s106)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26704, 6146, 8798])).
% 24.61/25.01 tff(26706,plain,
% 24.61/25.01 (~always25(s105)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26705, 16630])).
% 24.61/25.01 tff(26707,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s105) | (~trans(s199, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s105) | (~trans(s199, s105)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26708,plain,
% 24.61/25.01 (((~trans(s199, s105)) | (~always25(s199)) | always25(s105)) <=> ((~always25(s199)) | always25(s105) | (~trans(s199, s105)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26709,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s105)) | (~always25(s199)) | always25(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s105) | (~trans(s199, s105))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26708])).
% 24.61/25.01 tff(26710,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s105)) | (~always25(s199)) | always25(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s105) | (~trans(s199, s105)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26709, 26707])).
% 24.61/25.01 tff(26711,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s105)) | (~always25(s199)) | always25(s105))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26712,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s105) | (~trans(s199, s105))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 24.61/25.01 tff(26713,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26712, 23211, 6146, 26122, 26706])).
% 24.61/25.01 tff(26714,plain,((~trans(s199, s105)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26715,plain,
% 24.61/25.01 (~trans(s199, s105)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26714, 25193])).
% 24.61/25.01 tff(26716,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s173, s174)) | (~always25(s173)) | always25(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s173, s174)) | (~always25(s173)) | always25(s174))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26717,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s173, s174)) | (~always25(s173)) | always25(s174))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26718,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s173, s174)) | (~always25(s173)) | always25(s174)),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26717, 26716])).
% 24.61/25.01 tff(26719,plain,
% 24.61/25.01 ((~always25(s173)) | always25(s174)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26718, 6146, 14155])).
% 24.61/25.01 tff(26720,plain,
% 24.61/25.01 (~always25(s173)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26719, 16137])).
% 24.61/25.01 tff(26721,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s173) | (~trans(s199, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s173) | (~trans(s199, s173)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26722,plain,
% 24.61/25.01 (((~trans(s199, s173)) | (~always25(s199)) | always25(s173)) <=> ((~always25(s199)) | always25(s173) | (~trans(s199, s173)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26723,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s173)) | (~always25(s199)) | always25(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s173) | (~trans(s199, s173))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26722])).
% 24.61/25.01 tff(26724,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s173)) | (~always25(s199)) | always25(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s173) | (~trans(s199, s173)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26723, 26721])).
% 24.61/25.01 tff(26725,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s173)) | (~always25(s199)) | always25(s173))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26726,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s173) | (~trans(s199, s173))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26725, 26724])).
% 24.61/25.01 tff(26727,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26726, 23222, 6146, 26122, 26720])).
% 24.61/25.01 tff(26728,plain,((~trans(s199, s173)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26729,plain,
% 24.61/25.01 (~trans(s199, s173)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26728, 25193])).
% 24.61/25.01 tff(26730,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s2) | (~trans(s199, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s2) | (~trans(s199, s2)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26731,plain,
% 24.61/25.01 (((~trans(s199, s2)) | (~always25(s199)) | always25(s2)) <=> ((~always25(s199)) | always25(s2) | (~trans(s199, s2)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26732,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s2)) | (~always25(s199)) | always25(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s2) | (~trans(s199, s2))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26731])).
% 24.61/25.01 tff(26733,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s2)) | (~always25(s199)) | always25(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s2) | (~trans(s199, s2)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26732, 26730])).
% 24.61/25.01 tff(26734,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s2)) | (~always25(s199)) | always25(s2))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26735,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s2) | (~trans(s199, s2))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 24.61/25.01 tff(26736,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26735, 23233, 6146, 26122, 17373])).
% 24.61/25.01 tff(26737,plain,((~trans(s199, s2)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26738,plain,
% 24.61/25.01 (~trans(s199, s2)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26737, 25193])).
% 24.61/25.01 tff(26739,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s134) | (~trans(s199, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s134) | (~trans(s199, s134)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26740,plain,
% 24.61/25.01 (((~trans(s199, s134)) | (~always25(s199)) | always25(s134)) <=> ((~always25(s199)) | always25(s134) | (~trans(s199, s134)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26741,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s134)) | (~always25(s199)) | always25(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s134) | (~trans(s199, s134))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26740])).
% 24.61/25.01 tff(26742,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s134)) | (~always25(s199)) | always25(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s134) | (~trans(s199, s134)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26741, 26739])).
% 24.61/25.01 tff(26743,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s134)) | (~always25(s199)) | always25(s134))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26744,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s134) | (~trans(s199, s134))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26743, 26742])).
% 24.61/25.01 tff(26745,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26744, 23244, 6146, 26122, 16427])).
% 24.61/25.01 tff(26746,plain,((~trans(s199, s134)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26747,plain,
% 24.61/25.01 (~trans(s199, s134)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26746, 25193])).
% 24.61/25.01 tff(26748,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s191) | (~trans(s199, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s191) | (~trans(s199, s191)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26749,plain,
% 24.61/25.01 (((~trans(s199, s191)) | (~always25(s199)) | always25(s191)) <=> ((~always25(s199)) | always25(s191) | (~trans(s199, s191)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26750,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s191)) | (~always25(s199)) | always25(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s191) | (~trans(s199, s191))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26749])).
% 24.61/25.01 tff(26751,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s191)) | (~always25(s199)) | always25(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s191) | (~trans(s199, s191)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26750, 26748])).
% 24.61/25.01 tff(26752,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s191)) | (~always25(s199)) | always25(s191))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26753,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s191) | (~trans(s199, s191))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26752, 26751])).
% 24.61/25.01 tff(26754,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26753, 23376, 6146, 26122, 16012])).
% 24.61/25.01 tff(26755,plain,((~trans(s199, s191)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26756,plain,
% 24.61/25.01 (~trans(s199, s191)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26755, 25193])).
% 24.61/25.01 tff(26757,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s183) | (~trans(s199, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s183) | (~trans(s199, s183)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26758,plain,
% 24.61/25.01 (((~trans(s199, s183)) | (~always25(s199)) | always25(s183)) <=> ((~always25(s199)) | always25(s183) | (~trans(s199, s183)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26759,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s183)) | (~always25(s199)) | always25(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s183) | (~trans(s199, s183))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26758])).
% 24.61/25.01 tff(26760,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s183)) | (~always25(s199)) | always25(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s183) | (~trans(s199, s183)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26759, 26757])).
% 24.61/25.01 tff(26761,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s183)) | (~always25(s199)) | always25(s183))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26762,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s183) | (~trans(s199, s183))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 24.61/25.01 tff(26763,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26762, 23387, 6146, 26122, 16070])).
% 24.61/25.01 tff(26764,plain,((~trans(s199, s183)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26765,plain,
% 24.61/25.01 (~trans(s199, s183)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26764, 25193])).
% 24.61/25.01 tff(26766,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s144) | (~trans(s199, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s144) | (~trans(s199, s144)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26767,plain,
% 24.61/25.01 (((~trans(s199, s144)) | (~always25(s199)) | always25(s144)) <=> ((~always25(s199)) | always25(s144) | (~trans(s199, s144)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26768,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s144)) | (~always25(s199)) | always25(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s144) | (~trans(s199, s144))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26767])).
% 24.61/25.01 tff(26769,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s144)) | (~always25(s199)) | always25(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s144) | (~trans(s199, s144)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26768, 26766])).
% 24.61/25.01 tff(26770,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s144)) | (~always25(s199)) | always25(s144))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26771,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s144) | (~trans(s199, s144))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26770, 26769])).
% 24.61/25.01 tff(26772,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26771, 23398, 6146, 26122, 16355])).
% 24.61/25.01 tff(26773,plain,((~trans(s199, s144)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26774,plain,
% 24.61/25.01 (~trans(s199, s144)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26773, 25193])).
% 24.61/25.01 tff(26775,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s174) | (~trans(s199, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s174) | (~trans(s199, s174)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26776,plain,
% 24.61/25.01 (((~trans(s199, s174)) | (~always25(s199)) | always25(s174)) <=> ((~always25(s199)) | always25(s174) | (~trans(s199, s174)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26777,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s174)) | (~always25(s199)) | always25(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s174) | (~trans(s199, s174))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26776])).
% 24.61/25.01 tff(26778,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s174)) | (~always25(s199)) | always25(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s174) | (~trans(s199, s174)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26777, 26775])).
% 24.61/25.01 tff(26779,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s174)) | (~always25(s199)) | always25(s174))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26780,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s174) | (~trans(s199, s174))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26779, 26778])).
% 24.61/25.01 tff(26781,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26780, 23409, 6146, 26122, 16137])).
% 24.61/25.01 tff(26782,plain,((~trans(s199, s174)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26783,plain,
% 24.61/25.01 (~trans(s199, s174)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26782, 25193])).
% 24.61/25.01 tff(26784,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s158) | (~trans(s199, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s158) | (~trans(s199, s158)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26785,plain,
% 24.61/25.01 (((~trans(s199, s158)) | (~always25(s199)) | always25(s158)) <=> ((~always25(s199)) | always25(s158) | (~trans(s199, s158)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26786,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s158)) | (~always25(s199)) | always25(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s158) | (~trans(s199, s158))))),
% 24.61/25.01 inference(monotonicity,[status(thm)],[26785])).
% 24.61/25.01 tff(26787,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s158)) | (~always25(s199)) | always25(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s158) | (~trans(s199, s158)))),
% 24.61/25.01 inference(transitivity,[status(thm)],[26786, 26784])).
% 24.61/25.01 tff(26788,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s158)) | (~always25(s199)) | always25(s158))),
% 24.61/25.01 inference(quant_inst,[status(thm)],[])).
% 24.61/25.01 tff(26789,plain,
% 24.61/25.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s158) | (~trans(s199, s158))),
% 24.61/25.01 inference(modus_ponens,[status(thm)],[26788, 26787])).
% 24.61/25.01 tff(26790,plain,
% 24.61/25.01 ($false),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26789, 23420, 6146, 26122, 16253])).
% 24.61/25.01 tff(26791,plain,((~trans(s199, s158)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.01 tff(26792,plain,
% 24.61/25.01 (~trans(s199, s158)),
% 24.61/25.01 inference(unit_resolution,[status(thm)],[26791, 25193])).
% 24.61/25.01 tff(26793,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s135) | (~trans(s199, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s135) | (~trans(s199, s135)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26794,plain,
% 24.61/25.01 (((~trans(s199, s135)) | (~always25(s199)) | always25(s135)) <=> ((~always25(s199)) | always25(s135) | (~trans(s199, s135)))),
% 24.61/25.01 inference(rewrite,[status(thm)],[])).
% 24.61/25.01 tff(26795,plain,
% 24.61/25.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s135)) | (~always25(s199)) | always25(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s135) | (~trans(s199, s135))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26794])).
% 24.61/25.02 tff(26796,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s135)) | (~always25(s199)) | always25(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s135) | (~trans(s199, s135)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26795, 26793])).
% 24.61/25.02 tff(26797,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s135)) | (~always25(s199)) | always25(s135))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26798,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s135) | (~trans(s199, s135))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 24.61/25.02 tff(26799,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26798, 23431, 6146, 26122, 16418])).
% 24.61/25.02 tff(26800,plain,((~trans(s199, s135)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26801,plain,
% 24.61/25.02 (~trans(s199, s135)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26800, 25193])).
% 24.61/25.02 tff(26802,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s170) | (~trans(s199, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s170) | (~trans(s199, s170)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26803,plain,
% 24.61/25.02 (((~trans(s199, s170)) | (~always25(s199)) | always25(s170)) <=> ((~always25(s199)) | always25(s170) | (~trans(s199, s170)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26804,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s170)) | (~always25(s199)) | always25(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s170) | (~trans(s199, s170))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26803])).
% 24.61/25.02 tff(26805,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s170)) | (~always25(s199)) | always25(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s170) | (~trans(s199, s170)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26804, 26802])).
% 24.61/25.02 tff(26806,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s170)) | (~always25(s199)) | always25(s170))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26807,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s170) | (~trans(s199, s170))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 24.61/25.02 tff(26808,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26807, 23442, 6146, 26122, 16166])).
% 24.61/25.02 tff(26809,plain,((~trans(s199, s170)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26810,plain,
% 24.61/25.02 (~trans(s199, s170)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26809, 25193])).
% 24.61/25.02 tff(26811,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s171) | (~trans(s199, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s171) | (~trans(s199, s171)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26812,plain,
% 24.61/25.02 (((~trans(s199, s171)) | (~always25(s199)) | always25(s171)) <=> ((~always25(s199)) | always25(s171) | (~trans(s199, s171)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26813,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s171)) | (~always25(s199)) | always25(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s171) | (~trans(s199, s171))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26812])).
% 24.61/25.02 tff(26814,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s171)) | (~always25(s199)) | always25(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s171) | (~trans(s199, s171)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26813, 26811])).
% 24.61/25.02 tff(26815,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s171)) | (~always25(s199)) | always25(s171))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26816,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s171) | (~trans(s199, s171))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26815, 26814])).
% 24.61/25.02 tff(26817,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26816, 23453, 6146, 26122, 16157])).
% 24.61/25.02 tff(26818,plain,((~trans(s199, s171)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26819,plain,
% 24.61/25.02 (~trans(s199, s171)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26818, 25193])).
% 24.61/25.02 tff(26820,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s106) | (~trans(s199, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s106) | (~trans(s199, s106)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26821,plain,
% 24.61/25.02 (((~trans(s199, s106)) | (~always25(s199)) | always25(s106)) <=> ((~always25(s199)) | always25(s106) | (~trans(s199, s106)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26822,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s106)) | (~always25(s199)) | always25(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s106) | (~trans(s199, s106))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26821])).
% 24.61/25.02 tff(26823,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s106)) | (~always25(s199)) | always25(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s106) | (~trans(s199, s106)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26822, 26820])).
% 24.61/25.02 tff(26824,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s106)) | (~always25(s199)) | always25(s106))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26825,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s106) | (~trans(s199, s106))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26824, 26823])).
% 24.61/25.02 tff(26826,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26825, 23464, 6146, 26122, 16630])).
% 24.61/25.02 tff(26827,plain,((~trans(s199, s106)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26828,plain,
% 24.61/25.02 (~trans(s199, s106)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26827, 25193])).
% 24.61/25.02 tff(26829,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s148) | (~trans(s199, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s148) | (~trans(s199, s148)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26830,plain,
% 24.61/25.02 (((~trans(s199, s148)) | (~always25(s199)) | always25(s148)) <=> ((~always25(s199)) | always25(s148) | (~trans(s199, s148)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26831,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s148)) | (~always25(s199)) | always25(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s148) | (~trans(s199, s148))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26830])).
% 24.61/25.02 tff(26832,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s148)) | (~always25(s199)) | always25(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s148) | (~trans(s199, s148)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26831, 26829])).
% 24.61/25.02 tff(26833,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s148)) | (~always25(s199)) | always25(s148))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26834,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s148) | (~trans(s199, s148))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 24.61/25.02 tff(26835,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26834, 23475, 6146, 26122, 16326])).
% 24.61/25.02 tff(26836,plain,((~trans(s199, s148)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26837,plain,
% 24.61/25.02 (~trans(s199, s148)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26836, 25193])).
% 24.61/25.02 tff(26838,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s138) | (~trans(s199, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s138) | (~trans(s199, s138)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26839,plain,
% 24.61/25.02 (((~trans(s199, s138)) | (~always25(s199)) | always25(s138)) <=> ((~always25(s199)) | always25(s138) | (~trans(s199, s138)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26840,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s138)) | (~always25(s199)) | always25(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s138) | (~trans(s199, s138))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26839])).
% 24.61/25.02 tff(26841,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s138)) | (~always25(s199)) | always25(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s138) | (~trans(s199, s138)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26840, 26838])).
% 24.61/25.02 tff(26842,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s138)) | (~always25(s199)) | always25(s138))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26843,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s138) | (~trans(s199, s138))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26842, 26841])).
% 24.61/25.02 tff(26844,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26843, 23486, 6146, 26122, 16398])).
% 24.61/25.02 tff(26845,plain,((~trans(s199, s138)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26846,plain,
% 24.61/25.02 (~trans(s199, s138)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26845, 25193])).
% 24.61/25.02 tff(26847,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s44) | (~trans(s199, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s44) | (~trans(s199, s44)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26848,plain,
% 24.61/25.02 (((~trans(s199, s44)) | (~always25(s199)) | always25(s44)) <=> ((~always25(s199)) | always25(s44) | (~trans(s199, s44)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26849,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s44)) | (~always25(s199)) | always25(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s44) | (~trans(s199, s44))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26848])).
% 24.61/25.02 tff(26850,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s44)) | (~always25(s199)) | always25(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s44) | (~trans(s199, s44)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26849, 26847])).
% 24.61/25.02 tff(26851,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s44)) | (~always25(s199)) | always25(s44))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26852,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s44) | (~trans(s199, s44))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 24.61/25.02 tff(26853,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26852, 23497, 6146, 26122, 17073])).
% 24.61/25.02 tff(26854,plain,((~trans(s199, s44)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26855,plain,
% 24.61/25.02 (~trans(s199, s44)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26854, 25193])).
% 24.61/25.02 tff(26856,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s154) | (~trans(s199, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s154) | (~trans(s199, s154)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26857,plain,
% 24.61/25.02 (((~trans(s199, s154)) | (~always25(s199)) | always25(s154)) <=> ((~always25(s199)) | always25(s154) | (~trans(s199, s154)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26858,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s154)) | (~always25(s199)) | always25(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s154) | (~trans(s199, s154))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26857])).
% 24.61/25.02 tff(26859,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s154)) | (~always25(s199)) | always25(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s154) | (~trans(s199, s154)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26858, 26856])).
% 24.61/25.02 tff(26860,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s154)) | (~always25(s199)) | always25(s154))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26861,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s154) | (~trans(s199, s154))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26860, 26859])).
% 24.61/25.02 tff(26862,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26861, 23508, 6146, 26122, 16282])).
% 24.61/25.02 tff(26863,plain,((~trans(s199, s154)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26864,plain,
% 24.61/25.02 (~trans(s199, s154)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26863, 25193])).
% 24.61/25.02 tff(26865,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s77, s78)) | (~always25(s77)) | always25(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s77, s78)) | (~always25(s77)) | always25(s78))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26866,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s77, s78)) | (~always25(s77)) | always25(s78))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26867,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s77, s78)) | (~always25(s77)) | always25(s78)),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 24.61/25.02 tff(26868,plain,
% 24.61/25.02 ((~always25(s77)) | always25(s78)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26867, 6146, 6619])).
% 24.61/25.02 tff(26869,plain,
% 24.61/25.02 (~always25(s77)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26868, 16833])).
% 24.61/25.02 tff(26870,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s77) | (~trans(s199, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s77) | (~trans(s199, s77)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26871,plain,
% 24.61/25.02 (((~trans(s199, s77)) | (~always25(s199)) | always25(s77)) <=> ((~always25(s199)) | always25(s77) | (~trans(s199, s77)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26872,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s77)) | (~always25(s199)) | always25(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s77) | (~trans(s199, s77))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26871])).
% 24.61/25.02 tff(26873,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s77)) | (~always25(s199)) | always25(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s77) | (~trans(s199, s77)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26872, 26870])).
% 24.61/25.02 tff(26874,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s77)) | (~always25(s199)) | always25(s77))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26875,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s77) | (~trans(s199, s77))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26874, 26873])).
% 24.61/25.02 tff(26876,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26875, 23519, 6146, 26122, 26869])).
% 24.61/25.02 tff(26877,plain,((~trans(s199, s77)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26878,plain,
% 24.61/25.02 (~trans(s199, s77)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26877, 25193])).
% 24.61/25.02 tff(26879,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s190) | (~trans(s199, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s190) | (~trans(s199, s190)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26880,plain,
% 24.61/25.02 (((~trans(s199, s190)) | (~always25(s199)) | always25(s190)) <=> ((~always25(s199)) | always25(s190) | (~trans(s199, s190)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26881,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s190)) | (~always25(s199)) | always25(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s190) | (~trans(s199, s190))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26880])).
% 24.61/25.02 tff(26882,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s190)) | (~always25(s199)) | always25(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s190) | (~trans(s199, s190)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26881, 26879])).
% 24.61/25.02 tff(26883,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s190)) | (~always25(s199)) | always25(s190))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26884,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s190) | (~trans(s199, s190))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 24.61/25.02 tff(26885,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26884, 23530, 6146, 26122, 16021])).
% 24.61/25.02 tff(26886,plain,((~trans(s199, s190)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26887,plain,
% 24.61/25.02 (~trans(s199, s190)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26886, 25193])).
% 24.61/25.02 tff(26888,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s130) | (~trans(s199, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s130) | (~trans(s199, s130)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26889,plain,
% 24.61/25.02 (((~trans(s199, s130)) | (~always25(s199)) | always25(s130)) <=> ((~always25(s199)) | always25(s130) | (~trans(s199, s130)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26890,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s130)) | (~always25(s199)) | always25(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s130) | (~trans(s199, s130))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26889])).
% 24.61/25.02 tff(26891,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s130)) | (~always25(s199)) | always25(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s130) | (~trans(s199, s130)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26890, 26888])).
% 24.61/25.02 tff(26892,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s130)) | (~always25(s199)) | always25(s130))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26893,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s130) | (~trans(s199, s130))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26892, 26891])).
% 24.61/25.02 tff(26894,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26893, 23541, 6146, 26122, 16456])).
% 24.61/25.02 tff(26895,plain,((~trans(s199, s130)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26896,plain,
% 24.61/25.02 (~trans(s199, s130)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26895, 25193])).
% 24.61/25.02 tff(26897,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s163) | (~trans(s199, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s163) | (~trans(s199, s163)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26898,plain,
% 24.61/25.02 (((~trans(s199, s163)) | (~always25(s199)) | always25(s163)) <=> ((~always25(s199)) | always25(s163) | (~trans(s199, s163)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26899,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s163)) | (~always25(s199)) | always25(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s163) | (~trans(s199, s163))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26898])).
% 24.61/25.02 tff(26900,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s163)) | (~always25(s199)) | always25(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s163) | (~trans(s199, s163)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26899, 26897])).
% 24.61/25.02 tff(26901,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s163)) | (~always25(s199)) | always25(s163))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26902,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s163) | (~trans(s199, s163))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26901, 26900])).
% 24.61/25.02 tff(26903,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26902, 23552, 6146, 26122, 16215])).
% 24.61/25.02 tff(26904,plain,((~trans(s199, s163)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26905,plain,
% 24.61/25.02 (~trans(s199, s163)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26904, 25193])).
% 24.61/25.02 tff(26906,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s188) | (~trans(s199, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s188) | (~trans(s199, s188)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26907,plain,
% 24.61/25.02 (((~trans(s199, s188)) | (~always25(s199)) | always25(s188)) <=> ((~always25(s199)) | always25(s188) | (~trans(s199, s188)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26908,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s188)) | (~always25(s199)) | always25(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s188) | (~trans(s199, s188))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26907])).
% 24.61/25.02 tff(26909,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s188)) | (~always25(s199)) | always25(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s188) | (~trans(s199, s188)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26908, 26906])).
% 24.61/25.02 tff(26910,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s188)) | (~always25(s199)) | always25(s188))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26911,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s188) | (~trans(s199, s188))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26910, 26909])).
% 24.61/25.02 tff(26912,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26911, 23563, 6146, 26122, 16036])).
% 24.61/25.02 tff(26913,plain,((~trans(s199, s188)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26914,plain,
% 24.61/25.02 (~trans(s199, s188)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26913, 25193])).
% 24.61/25.02 tff(26915,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s153, s154)) | (~always25(s153)) | always25(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s153, s154)) | (~always25(s153)) | always25(s154))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26916,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s153, s154)) | (~always25(s153)) | always25(s154))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26917,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s153, s154)) | (~always25(s153)) | always25(s154)),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26916, 26915])).
% 24.61/25.02 tff(26918,plain,
% 24.61/25.02 ((~always25(s153)) | always25(s154)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26917, 6146, 12566])).
% 24.61/25.02 tff(26919,plain,
% 24.61/25.02 (~always25(s153)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26918, 16282])).
% 24.61/25.02 tff(26920,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s153) | (~trans(s199, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s153) | (~trans(s199, s153)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26921,plain,
% 24.61/25.02 (((~trans(s199, s153)) | (~always25(s199)) | always25(s153)) <=> ((~always25(s199)) | always25(s153) | (~trans(s199, s153)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26922,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s153)) | (~always25(s199)) | always25(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s153) | (~trans(s199, s153))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26921])).
% 24.61/25.02 tff(26923,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s153)) | (~always25(s199)) | always25(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s153) | (~trans(s199, s153)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26922, 26920])).
% 24.61/25.02 tff(26924,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s153)) | (~always25(s199)) | always25(s153))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26925,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s153) | (~trans(s199, s153))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 24.61/25.02 tff(26926,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26925, 23574, 6146, 26122, 26919])).
% 24.61/25.02 tff(26927,plain,((~trans(s199, s153)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26928,plain,
% 24.61/25.02 (~trans(s199, s153)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26927, 25193])).
% 24.61/25.02 tff(26929,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s189, s190)) | (~always25(s189)) | always25(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s189, s190)) | (~always25(s189)) | always25(s190))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26930,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s189, s190)) | (~always25(s189)) | always25(s190))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26931,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s189, s190)) | (~always25(s189)) | always25(s190)),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 24.61/25.02 tff(26932,plain,
% 24.61/25.02 ((~always25(s189)) | always25(s190)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26931, 6146, 15411])).
% 24.61/25.02 tff(26933,plain,
% 24.61/25.02 (~always25(s189)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26932, 16021])).
% 24.61/25.02 tff(26934,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s189) | (~trans(s199, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s189) | (~trans(s199, s189)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26935,plain,
% 24.61/25.02 (((~trans(s199, s189)) | (~always25(s199)) | always25(s189)) <=> ((~always25(s199)) | always25(s189) | (~trans(s199, s189)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26936,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s189)) | (~always25(s199)) | always25(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s189) | (~trans(s199, s189))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26935])).
% 24.61/25.02 tff(26937,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s189)) | (~always25(s199)) | always25(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s189) | (~trans(s199, s189)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26936, 26934])).
% 24.61/25.02 tff(26938,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s189)) | (~always25(s199)) | always25(s189))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26939,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s189) | (~trans(s199, s189))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26938, 26937])).
% 24.61/25.02 tff(26940,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26939, 23585, 6146, 26122, 26933])).
% 24.61/25.02 tff(26941,plain,((~trans(s199, s189)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26942,plain,
% 24.61/25.02 (~trans(s199, s189)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26941, 25193])).
% 24.61/25.02 tff(26943,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s127) | (~trans(s199, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s127) | (~trans(s199, s127)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26944,plain,
% 24.61/25.02 (((~trans(s199, s127)) | (~always25(s199)) | always25(s127)) <=> ((~always25(s199)) | always25(s127) | (~trans(s199, s127)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26945,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s127)) | (~always25(s199)) | always25(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s127) | (~trans(s199, s127))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26944])).
% 24.61/25.02 tff(26946,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s127)) | (~always25(s199)) | always25(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s127) | (~trans(s199, s127)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26945, 26943])).
% 24.61/25.02 tff(26947,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s127)) | (~always25(s199)) | always25(s127))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26948,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s127) | (~trans(s199, s127))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26947, 26946])).
% 24.61/25.02 tff(26949,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26948, 23596, 6146, 26122, 16476])).
% 24.61/25.02 tff(26950,plain,((~trans(s199, s127)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26951,plain,
% 24.61/25.02 (~trans(s199, s127)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26950, 25193])).
% 24.61/25.02 tff(26952,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s181, s182)) | (~always25(s181)) | always25(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s181, s182)) | (~always25(s181)) | always25(s182))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26953,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s181, s182)) | (~always25(s181)) | always25(s182))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26954,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s181, s182)) | (~always25(s181)) | always25(s182)),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26953, 26952])).
% 24.61/25.02 tff(26955,plain,
% 24.61/25.02 ((~always25(s181)) | always25(s182)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26954, 6146, 14783])).
% 24.61/25.02 tff(26956,plain,
% 24.61/25.02 (~always25(s181)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26955, 16079])).
% 24.61/25.02 tff(26957,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s181) | (~trans(s199, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s181) | (~trans(s199, s181)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26958,plain,
% 24.61/25.02 (((~trans(s199, s181)) | (~always25(s199)) | always25(s181)) <=> ((~always25(s199)) | always25(s181) | (~trans(s199, s181)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26959,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s181)) | (~always25(s199)) | always25(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s181) | (~trans(s199, s181))))),
% 24.61/25.02 inference(monotonicity,[status(thm)],[26958])).
% 24.61/25.02 tff(26960,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s181)) | (~always25(s199)) | always25(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s181) | (~trans(s199, s181)))),
% 24.61/25.02 inference(transitivity,[status(thm)],[26959, 26957])).
% 24.61/25.02 tff(26961,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s181)) | (~always25(s199)) | always25(s181))),
% 24.61/25.02 inference(quant_inst,[status(thm)],[])).
% 24.61/25.02 tff(26962,plain,
% 24.61/25.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s181) | (~trans(s199, s181))),
% 24.61/25.02 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 24.61/25.02 tff(26963,plain,
% 24.61/25.02 ($false),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26962, 23607, 6146, 26122, 26956])).
% 24.61/25.02 tff(26964,plain,((~trans(s199, s181)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.02 tff(26965,plain,
% 24.61/25.02 (~trans(s199, s181)),
% 24.61/25.02 inference(unit_resolution,[status(thm)],[26964, 25193])).
% 24.61/25.02 tff(26966,plain,
% 24.61/25.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s186) | (~trans(s199, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s186) | (~trans(s199, s186)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26967,plain,
% 24.61/25.02 (((~trans(s199, s186)) | (~always25(s199)) | always25(s186)) <=> ((~always25(s199)) | always25(s186) | (~trans(s199, s186)))),
% 24.61/25.02 inference(rewrite,[status(thm)],[])).
% 24.61/25.02 tff(26968,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s186)) | (~always25(s199)) | always25(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s186) | (~trans(s199, s186))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[26967])).
% 24.61/25.03 tff(26969,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s186)) | (~always25(s199)) | always25(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s186) | (~trans(s199, s186)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[26968, 26966])).
% 24.61/25.03 tff(26970,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s186)) | (~always25(s199)) | always25(s186))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(26971,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s186) | (~trans(s199, s186))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[26970, 26969])).
% 24.61/25.03 tff(26972,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26971, 23618, 6146, 26122, 16050])).
% 24.61/25.03 tff(26973,plain,((~trans(s199, s186)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(26974,plain,
% 24.61/25.03 (~trans(s199, s186)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26973, 25193])).
% 24.61/25.03 tff(26975,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s180) | (~trans(s199, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s180) | (~trans(s199, s180)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26976,plain,
% 24.61/25.03 (((~trans(s199, s180)) | (~always25(s199)) | always25(s180)) <=> ((~always25(s199)) | always25(s180) | (~trans(s199, s180)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26977,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s180)) | (~always25(s199)) | always25(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s180) | (~trans(s199, s180))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[26976])).
% 24.61/25.03 tff(26978,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s180)) | (~always25(s199)) | always25(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s180) | (~trans(s199, s180)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[26977, 26975])).
% 24.61/25.03 tff(26979,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s180)) | (~always25(s199)) | always25(s180))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(26980,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s180) | (~trans(s199, s180))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[26979, 26978])).
% 24.61/25.03 tff(26981,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26980, 23629, 6146, 26122, 16094])).
% 24.61/25.03 tff(26982,plain,((~trans(s199, s180)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(26983,plain,
% 24.61/25.03 (~trans(s199, s180)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26982, 25193])).
% 24.61/25.03 tff(26984,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s157, s158)) | (~always25(s157)) | always25(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s157, s158)) | (~always25(s157)) | always25(s158))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26985,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s157, s158)) | (~always25(s157)) | always25(s158))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(26986,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s157, s158)) | (~always25(s157)) | always25(s158)),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 24.61/25.03 tff(26987,plain,
% 24.61/25.03 ((~always25(s157)) | always25(s158)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26986, 6146, 12899])).
% 24.61/25.03 tff(26988,plain,
% 24.61/25.03 (~always25(s157)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26987, 16253])).
% 24.61/25.03 tff(26989,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s157) | (~trans(s199, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s157) | (~trans(s199, s157)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26990,plain,
% 24.61/25.03 (((~trans(s199, s157)) | (~always25(s199)) | always25(s157)) <=> ((~always25(s199)) | always25(s157) | (~trans(s199, s157)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26991,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s157)) | (~always25(s199)) | always25(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s157) | (~trans(s199, s157))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[26990])).
% 24.61/25.03 tff(26992,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s157)) | (~always25(s199)) | always25(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s157) | (~trans(s199, s157)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[26991, 26989])).
% 24.61/25.03 tff(26993,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s157)) | (~always25(s199)) | always25(s157))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(26994,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s157) | (~trans(s199, s157))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[26993, 26992])).
% 24.61/25.03 tff(26995,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26994, 23640, 6146, 26122, 26988])).
% 24.61/25.03 tff(26996,plain,((~trans(s199, s157)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(26997,plain,
% 24.61/25.03 (~trans(s199, s157)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[26996, 25193])).
% 24.61/25.03 tff(26998,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s165, s166)) | (~always25(s165)) | always25(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s165, s166)) | (~always25(s165)) | always25(s166))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(26999,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s165, s166)) | (~always25(s165)) | always25(s166))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27000,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s165, s166)) | (~always25(s165)) | always25(s166)),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 24.61/25.03 tff(27001,plain,
% 24.61/25.03 ((~always25(s165)) | always25(s166)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27000, 6146, 13527])).
% 24.61/25.03 tff(27002,plain,
% 24.61/25.03 (~always25(s165)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27001, 16195])).
% 24.61/25.03 tff(27003,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s165) | (~trans(s199, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s165) | (~trans(s199, s165)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27004,plain,
% 24.61/25.03 (((~trans(s199, s165)) | (~always25(s199)) | always25(s165)) <=> ((~always25(s199)) | always25(s165) | (~trans(s199, s165)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27005,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s165)) | (~always25(s199)) | always25(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s165) | (~trans(s199, s165))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27004])).
% 24.61/25.03 tff(27006,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s165)) | (~always25(s199)) | always25(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s165) | (~trans(s199, s165)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27005, 27003])).
% 24.61/25.03 tff(27007,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s165)) | (~always25(s199)) | always25(s165))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27008,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s165) | (~trans(s199, s165))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27007, 27006])).
% 24.61/25.03 tff(27009,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27008, 23651, 6146, 26122, 27002])).
% 24.61/25.03 tff(27010,plain,((~trans(s199, s165)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27011,plain,
% 24.61/25.03 (~trans(s199, s165)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27010, 25193])).
% 24.61/25.03 tff(27012,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s140) | (~trans(s199, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s140) | (~trans(s199, s140)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27013,plain,
% 24.61/25.03 (((~trans(s199, s140)) | (~always25(s199)) | always25(s140)) <=> ((~always25(s199)) | always25(s140) | (~trans(s199, s140)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27014,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s140)) | (~always25(s199)) | always25(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s140) | (~trans(s199, s140))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27013])).
% 24.61/25.03 tff(27015,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s140)) | (~always25(s199)) | always25(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s140) | (~trans(s199, s140)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27014, 27012])).
% 24.61/25.03 tff(27016,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s140)) | (~always25(s199)) | always25(s140))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27017,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s140) | (~trans(s199, s140))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27016, 27015])).
% 24.61/25.03 tff(27018,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27017, 23662, 6146, 26122, 16384])).
% 24.61/25.03 tff(27019,plain,((~trans(s199, s140)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27020,plain,
% 24.61/25.03 (~trans(s199, s140)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27019, 25193])).
% 24.61/25.03 tff(27021,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s169, s170)) | (~always25(s169)) | always25(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s169, s170)) | (~always25(s169)) | always25(s170))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27022,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s169, s170)) | (~always25(s169)) | always25(s170))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27023,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s169, s170)) | (~always25(s169)) | always25(s170)),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27022, 27021])).
% 24.61/25.03 tff(27024,plain,
% 24.61/25.03 ((~always25(s169)) | always25(s170)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27023, 6146, 13822])).
% 24.61/25.03 tff(27025,plain,
% 24.61/25.03 (~always25(s169)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27024, 16166])).
% 24.61/25.03 tff(27026,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s169) | (~trans(s199, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s169) | (~trans(s199, s169)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27027,plain,
% 24.61/25.03 (((~trans(s199, s169)) | (~always25(s199)) | always25(s169)) <=> ((~always25(s199)) | always25(s169) | (~trans(s199, s169)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27028,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s169)) | (~always25(s199)) | always25(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s169) | (~trans(s199, s169))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27027])).
% 24.61/25.03 tff(27029,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s169)) | (~always25(s199)) | always25(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s169) | (~trans(s199, s169)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27028, 27026])).
% 24.61/25.03 tff(27030,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s169)) | (~always25(s199)) | always25(s169))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27031,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s169) | (~trans(s199, s169))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27030, 27029])).
% 24.61/25.03 tff(27032,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27031, 23673, 6146, 26122, 27025])).
% 24.61/25.03 tff(27033,plain,((~trans(s199, s169)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27034,plain,
% 24.61/25.03 (~trans(s199, s169)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27033, 25193])).
% 24.61/25.03 tff(27035,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s145, s146)) | (~always25(s145)) | always25(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s145, s146)) | (~always25(s145)) | always25(s146))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27036,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s145, s146)) | (~always25(s145)) | always25(s146))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27037,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s145, s146)) | (~always25(s145)) | always25(s146)),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27036, 27035])).
% 24.61/25.03 tff(27038,plain,
% 24.61/25.03 ((~always25(s145)) | always25(s146)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27037, 6146, 11938])).
% 24.61/25.03 tff(27039,plain,
% 24.61/25.03 (~always25(s145)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27038, 16340])).
% 24.61/25.03 tff(27040,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s145) | (~trans(s199, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s145) | (~trans(s199, s145)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27041,plain,
% 24.61/25.03 (((~trans(s199, s145)) | (~always25(s199)) | always25(s145)) <=> ((~always25(s199)) | always25(s145) | (~trans(s199, s145)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27042,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s145)) | (~always25(s199)) | always25(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s145) | (~trans(s199, s145))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27041])).
% 24.61/25.03 tff(27043,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s145)) | (~always25(s199)) | always25(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s145) | (~trans(s199, s145)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27042, 27040])).
% 24.61/25.03 tff(27044,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s145)) | (~always25(s199)) | always25(s145))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27045,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s145) | (~trans(s199, s145))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 24.61/25.03 tff(27046,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27045, 23684, 6146, 26122, 27039])).
% 24.61/25.03 tff(27047,plain,((~trans(s199, s145)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27048,plain,
% 24.61/25.03 (~trans(s199, s145)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27047, 25193])).
% 24.61/25.03 tff(27049,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s141, s142)) | (~always25(s141)) | always25(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s141, s142)) | (~always25(s141)) | always25(s142))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27050,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s141, s142)) | (~always25(s141)) | always25(s142))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27051,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s141, s142)) | (~always25(s141)) | always25(s142)),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27050, 27049])).
% 24.61/25.03 tff(27052,plain,
% 24.61/25.03 ((~always25(s141)) | always25(s142)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27051, 6146, 11643])).
% 24.61/25.03 tff(27053,plain,
% 24.61/25.03 (~always25(s141)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27052, 16369])).
% 24.61/25.03 tff(27054,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s141) | (~trans(s199, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s141) | (~trans(s199, s141)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27055,plain,
% 24.61/25.03 (((~trans(s199, s141)) | (~always25(s199)) | always25(s141)) <=> ((~always25(s199)) | always25(s141) | (~trans(s199, s141)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27056,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s141)) | (~always25(s199)) | always25(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s141) | (~trans(s199, s141))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27055])).
% 24.61/25.03 tff(27057,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s141)) | (~always25(s199)) | always25(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s141) | (~trans(s199, s141)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27056, 27054])).
% 24.61/25.03 tff(27058,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s141)) | (~always25(s199)) | always25(s141))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27059,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s141) | (~trans(s199, s141))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 24.61/25.03 tff(27060,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27059, 23695, 6146, 26122, 27053])).
% 24.61/25.03 tff(27061,plain,((~trans(s199, s141)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27062,plain,
% 24.61/25.03 (~trans(s199, s141)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27061, 25193])).
% 24.61/25.03 tff(27063,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s139) | (~trans(s199, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s139) | (~trans(s199, s139)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27064,plain,
% 24.61/25.03 (((~trans(s199, s139)) | (~always25(s199)) | always25(s139)) <=> ((~always25(s199)) | always25(s139) | (~trans(s199, s139)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27065,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s139)) | (~always25(s199)) | always25(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s139) | (~trans(s199, s139))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27064])).
% 24.61/25.03 tff(27066,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s139)) | (~always25(s199)) | always25(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s139) | (~trans(s199, s139)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27065, 27063])).
% 24.61/25.03 tff(27067,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s139)) | (~always25(s199)) | always25(s139))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27068,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s139) | (~trans(s199, s139))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27067, 27066])).
% 24.61/25.03 tff(27069,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27068, 23706, 6146, 26122, 16389])).
% 24.61/25.03 tff(27070,plain,((~trans(s199, s139)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27071,plain,
% 24.61/25.03 (~trans(s199, s139)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27070, 25193])).
% 24.61/25.03 tff(27072,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s126) | (~trans(s199, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s126) | (~trans(s199, s126)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27073,plain,
% 24.61/25.03 (((~trans(s199, s126)) | (~always25(s199)) | always25(s126)) <=> ((~always25(s199)) | always25(s126) | (~trans(s199, s126)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27074,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s126)) | (~always25(s199)) | always25(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s126) | (~trans(s199, s126))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27073])).
% 24.61/25.03 tff(27075,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s126)) | (~always25(s199)) | always25(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s126) | (~trans(s199, s126)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27074, 27072])).
% 24.61/25.03 tff(27076,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s126)) | (~always25(s199)) | always25(s126))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27077,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s126) | (~trans(s199, s126))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 24.61/25.03 tff(27078,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27077, 23717, 6146, 26122, 16485])).
% 24.61/25.03 tff(27079,plain,((~trans(s199, s126)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27080,plain,
% 24.61/25.03 (~trans(s199, s126)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27079, 25193])).
% 24.61/25.03 tff(27081,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s162) | (~trans(s199, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s162) | (~trans(s199, s162)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27082,plain,
% 24.61/25.03 (((~trans(s199, s162)) | (~always25(s199)) | always25(s162)) <=> ((~always25(s199)) | always25(s162) | (~trans(s199, s162)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27083,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s162)) | (~always25(s199)) | always25(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s162) | (~trans(s199, s162))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27082])).
% 24.61/25.03 tff(27084,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s162)) | (~always25(s199)) | always25(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s162) | (~trans(s199, s162)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27083, 27081])).
% 24.61/25.03 tff(27085,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s162)) | (~always25(s199)) | always25(s162))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27086,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s162) | (~trans(s199, s162))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 24.61/25.03 tff(27087,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27086, 24113, 6146, 26122, 16224])).
% 24.61/25.03 tff(27088,plain,((~trans(s199, s162)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27089,plain,
% 24.61/25.03 (~trans(s199, s162)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27088, 25193])).
% 24.61/25.03 tff(27090,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s120) | (~trans(s199, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s120) | (~trans(s199, s120)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27091,plain,
% 24.61/25.03 (((~trans(s199, s120)) | (~always25(s199)) | always25(s120)) <=> ((~always25(s199)) | always25(s120) | (~trans(s199, s120)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27092,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s120)) | (~always25(s199)) | always25(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s120) | (~trans(s199, s120))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27091])).
% 24.61/25.03 tff(27093,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s120)) | (~always25(s199)) | always25(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s120) | (~trans(s199, s120)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27092, 27090])).
% 24.61/25.03 tff(27094,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s120)) | (~always25(s199)) | always25(s120))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27095,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s120) | (~trans(s199, s120))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 24.61/25.03 tff(27096,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27095, 24124, 6146, 26122, 16529])).
% 24.61/25.03 tff(27097,plain,((~trans(s199, s120)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27098,plain,
% 24.61/25.03 (~trans(s199, s120)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27097, 25193])).
% 24.61/25.03 tff(27099,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s108) | (~trans(s199, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s108) | (~trans(s199, s108)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27100,plain,
% 24.61/25.03 (((~trans(s199, s108)) | (~always25(s199)) | always25(s108)) <=> ((~always25(s199)) | always25(s108) | (~trans(s199, s108)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27101,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s108)) | (~always25(s199)) | always25(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s108) | (~trans(s199, s108))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27100])).
% 24.61/25.03 tff(27102,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s108)) | (~always25(s199)) | always25(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s108) | (~trans(s199, s108)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27101, 27099])).
% 24.61/25.03 tff(27103,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s108)) | (~always25(s199)) | always25(s108))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27104,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s108) | (~trans(s199, s108))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 24.61/25.03 tff(27105,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27104, 24135, 6146, 26122, 16616])).
% 24.61/25.03 tff(27106,plain,((~trans(s199, s108)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27107,plain,
% 24.61/25.03 (~trans(s199, s108)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27106, 25193])).
% 24.61/25.03 tff(27108,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s187) | (~trans(s199, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s187) | (~trans(s199, s187)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27109,plain,
% 24.61/25.03 (((~trans(s199, s187)) | (~always25(s199)) | always25(s187)) <=> ((~always25(s199)) | always25(s187) | (~trans(s199, s187)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27110,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s187)) | (~always25(s199)) | always25(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s187) | (~trans(s199, s187))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27109])).
% 24.61/25.03 tff(27111,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s187)) | (~always25(s199)) | always25(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s187) | (~trans(s199, s187)))),
% 24.61/25.03 inference(transitivity,[status(thm)],[27110, 27108])).
% 24.61/25.03 tff(27112,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s187)) | (~always25(s199)) | always25(s187))),
% 24.61/25.03 inference(quant_inst,[status(thm)],[])).
% 24.61/25.03 tff(27113,plain,
% 24.61/25.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s187) | (~trans(s199, s187))),
% 24.61/25.03 inference(modus_ponens,[status(thm)],[27112, 27111])).
% 24.61/25.03 tff(27114,plain,
% 24.61/25.03 ($false),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27113, 24146, 6146, 26122, 16041])).
% 24.61/25.03 tff(27115,plain,((~trans(s199, s187)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.03 tff(27116,plain,
% 24.61/25.03 (~trans(s199, s187)),
% 24.61/25.03 inference(unit_resolution,[status(thm)],[27115, 25193])).
% 24.61/25.03 tff(27117,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s102) | (~trans(s199, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s102) | (~trans(s199, s102)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27118,plain,
% 24.61/25.03 (((~trans(s199, s102)) | (~always25(s199)) | always25(s102)) <=> ((~always25(s199)) | always25(s102) | (~trans(s199, s102)))),
% 24.61/25.03 inference(rewrite,[status(thm)],[])).
% 24.61/25.03 tff(27119,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s102)) | (~always25(s199)) | always25(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s102) | (~trans(s199, s102))))),
% 24.61/25.03 inference(monotonicity,[status(thm)],[27118])).
% 24.61/25.03 tff(27120,plain,
% 24.61/25.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s102)) | (~always25(s199)) | always25(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s102) | (~trans(s199, s102)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27119, 27117])).
% 24.61/25.04 tff(27121,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s102)) | (~always25(s199)) | always25(s102))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27122,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s102) | (~trans(s199, s102))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 24.61/25.04 tff(27123,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27122, 24157, 6146, 26122, 16659])).
% 24.61/25.04 tff(27124,plain,((~trans(s199, s102)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27125,plain,
% 24.61/25.04 (~trans(s199, s102)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27124, 25193])).
% 24.61/25.04 tff(27126,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s182) | (~trans(s199, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s182) | (~trans(s199, s182)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27127,plain,
% 24.61/25.04 (((~trans(s199, s182)) | (~always25(s199)) | always25(s182)) <=> ((~always25(s199)) | always25(s182) | (~trans(s199, s182)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27128,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s182)) | (~always25(s199)) | always25(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s182) | (~trans(s199, s182))))),
% 24.61/25.04 inference(monotonicity,[status(thm)],[27127])).
% 24.61/25.04 tff(27129,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s182)) | (~always25(s199)) | always25(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s182) | (~trans(s199, s182)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27128, 27126])).
% 24.61/25.04 tff(27130,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s182)) | (~always25(s199)) | always25(s182))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27131,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s182) | (~trans(s199, s182))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 24.61/25.04 tff(27132,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27131, 24168, 6146, 26122, 16079])).
% 24.61/25.04 tff(27133,plain,((~trans(s199, s182)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27134,plain,
% 24.61/25.04 (~trans(s199, s182)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27133, 25193])).
% 24.61/25.04 tff(27135,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s168) | (~trans(s199, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s168) | (~trans(s199, s168)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27136,plain,
% 24.61/25.04 (((~trans(s199, s168)) | (~always25(s199)) | always25(s168)) <=> ((~always25(s199)) | always25(s168) | (~trans(s199, s168)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27137,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s168)) | (~always25(s199)) | always25(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s168) | (~trans(s199, s168))))),
% 24.61/25.04 inference(monotonicity,[status(thm)],[27136])).
% 24.61/25.04 tff(27138,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s168)) | (~always25(s199)) | always25(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s168) | (~trans(s199, s168)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27137, 27135])).
% 24.61/25.04 tff(27139,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s168)) | (~always25(s199)) | always25(s168))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27140,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s168) | (~trans(s199, s168))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 24.61/25.04 tff(27141,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27140, 24179, 6146, 26122, 16181])).
% 24.61/25.04 tff(27142,plain,((~trans(s199, s168)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27143,plain,
% 24.61/25.04 (~trans(s199, s168)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27142, 25193])).
% 24.61/25.04 tff(27144,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s124) | (~trans(s199, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s124) | (~trans(s199, s124)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27145,plain,
% 24.61/25.04 (((~trans(s199, s124)) | (~always25(s199)) | always25(s124)) <=> ((~always25(s199)) | always25(s124) | (~trans(s199, s124)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27146,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s124)) | (~always25(s199)) | always25(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s124) | (~trans(s199, s124))))),
% 24.61/25.04 inference(monotonicity,[status(thm)],[27145])).
% 24.61/25.04 tff(27147,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s124)) | (~always25(s199)) | always25(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s124) | (~trans(s199, s124)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27146, 27144])).
% 24.61/25.04 tff(27148,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s124)) | (~always25(s199)) | always25(s124))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27149,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s124) | (~trans(s199, s124))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27148, 27147])).
% 24.61/25.04 tff(27150,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27149, 24190, 6146, 26122, 16500])).
% 24.61/25.04 tff(27151,plain,((~trans(s199, s124)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27152,plain,
% 24.61/25.04 (~trans(s199, s124)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27151, 25193])).
% 24.61/25.04 tff(27153,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s9, s10)) | (~always25(s9)) | always25(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s9, s10)) | (~always25(s9)) | always25(s10))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27154,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s9, s10)) | (~always25(s9)) | always25(s10))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27155,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s9, s10)) | (~always25(s9)) | always25(s10)),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27154, 27153])).
% 24.61/25.04 tff(27156,plain,
% 24.61/25.04 ((~always25(s9)) | always25(s10)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27155, 6146, 1222])).
% 24.61/25.04 tff(27157,plain,
% 24.61/25.04 (~always25(s9)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27156, 17319])).
% 24.61/25.04 tff(27158,assumption,(trans(s199, s9)), introduced(assumption)).
% 24.61/25.04 tff(27159,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s9) | (~trans(s199, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s9) | (~trans(s199, s9)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27160,plain,
% 24.61/25.04 (((~trans(s199, s9)) | (~always25(s199)) | always25(s9)) <=> ((~always25(s199)) | always25(s9) | (~trans(s199, s9)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27161,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s9)) | (~always25(s199)) | always25(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s9) | (~trans(s199, s9))))),
% 24.61/25.04 inference(monotonicity,[status(thm)],[27160])).
% 24.61/25.04 tff(27162,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s9)) | (~always25(s199)) | always25(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s9) | (~trans(s199, s9)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27161, 27159])).
% 24.61/25.04 tff(27163,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s9)) | (~always25(s199)) | always25(s9))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27164,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s9) | (~trans(s199, s9))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27163, 27162])).
% 24.61/25.04 tff(27165,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27164, 27158, 6146, 26122, 27157])).
% 24.61/25.04 tff(27166,plain,((~trans(s199, s9)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27167,plain,
% 24.61/25.04 (~trans(s199, s9)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27166, 25193])).
% 24.61/25.04 tff(27168,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s119) | (~trans(s199, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s119) | (~trans(s199, s119)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27169,plain,
% 24.61/25.04 (((~trans(s199, s119)) | (~always25(s199)) | always25(s119)) <=> ((~always25(s199)) | always25(s119) | (~trans(s199, s119)))),
% 24.61/25.04 inference(rewrite,[status(thm)],[])).
% 24.61/25.04 tff(27170,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s119)) | (~always25(s199)) | always25(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s119) | (~trans(s199, s119))))),
% 24.61/25.04 inference(monotonicity,[status(thm)],[27169])).
% 24.61/25.04 tff(27171,plain,
% 24.61/25.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s119)) | (~always25(s199)) | always25(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s119) | (~trans(s199, s119)))),
% 24.61/25.04 inference(transitivity,[status(thm)],[27170, 27168])).
% 24.61/25.04 tff(27172,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s119)) | (~always25(s199)) | always25(s119))),
% 24.61/25.04 inference(quant_inst,[status(thm)],[])).
% 24.61/25.04 tff(27173,plain,
% 24.61/25.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s119) | (~trans(s199, s119))),
% 24.61/25.04 inference(modus_ponens,[status(thm)],[27172, 27171])).
% 24.61/25.04 tff(27174,plain,
% 24.61/25.04 ($false),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27173, 24322, 6146, 26122, 16534])).
% 24.61/25.04 tff(27175,plain,((~trans(s199, s119)) | (~always25(s199))), inference(lemma,lemma(discharge,[]))).
% 24.61/25.04 tff(27176,plain,
% 24.61/25.04 (~trans(s199, s119)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27175, 25193])).
% 24.61/25.04 tff(27177,plain,
% 24.61/25.04 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s26) | trans(s199, s29) | trans(s199, s30) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s68) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s89) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s101) | trans(s199, s103) | trans(s199, s107) | trans(s199, s111) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s125) | trans(s199, s128) | trans(s199, s129) | trans(s199, s132) | trans(s199, s136) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s164) | trans(s199, s167) | trans(s199, s172) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s196) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[25184, 27176, 27167, 27152, 27143, 27134, 27125, 27116, 27107, 27098, 27089, 27080, 27071, 27062, 27048, 27034, 27020, 27011, 26997, 26983, 26974, 26965, 26951, 26942, 26928, 26914, 26905, 26896, 26887, 26878, 26864, 26855, 26846, 26837, 26828, 26819, 26810, 26801, 26792, 26783, 26774, 26765, 26756, 26747, 26738, 26729, 26715, 26701, 26692, 26683, 26674, 26665, 26651, 26642, 26628, 26619, 26610, 26596, 26587, 26578, 26564, 26550, 26541, 26527, 26518, 26509, 26500, 26491, 26482, 26473, 26464, 26455, 26446, 26432, 26423, 26409, 26395, 26381, 26372, 26363, 26349, 26340, 26326, 26312, 26303, 26294, 26285, 26276, 26262, 26248, 26239, 26230, 26221, 26212, 26203, 26194, 26185, 26176, 26167, 26158, 26149, 26140, 26131])).
% 24.61/25.04 tff(27178,plain,
% 24.61/25.04 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s5) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s26) | trans(s199, s29) | trans(s199, s30) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s68) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s78) | trans(s199, s79) | trans(s199, s80) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s89) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s101) | trans(s199, s103) | trans(s199, s107) | trans(s199, s111) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s125) | trans(s199, s128) | trans(s199, s129) | trans(s199, s132) | trans(s199, s136) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27177, 26121, 26113, 26105])).
% 24.61/25.04 tff(27179,plain,
% 24.61/25.04 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s26) | trans(s199, s29) | trans(s199, s30) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s61) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s68) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s78) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s89) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s103) | trans(s199, s107) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s125) | trans(s199, s128) | trans(s199, s129) | trans(s199, s132) | trans(s199, s136) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27178, 26097, 26089, 26076, 26068])).
% 24.61/25.04 tff(27180,plain,
% 24.61/25.04 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s26) | trans(s199, s29) | trans(s199, s30) | trans(s199, s33) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s68) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s78) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s89) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s128) | trans(s199, s129) | trans(s199, s132) | trans(s199, s136) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.04 inference(unit_resolution,[status(thm)],[27179, 26055, 26042, 26029])).
% 24.61/25.04 tff(27181,plain,
% 24.61/25.04 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s30) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s68) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s78) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s89) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27180, 26021, 26013, 26005, 25992])).
% 24.61/25.05 tff(27182,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s4) | trans(s199, s6) | trans(s199, s7) | trans(s199, s8) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s30) | trans(s199, s34) | trans(s199, s35) | trans(s199, s40) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s122) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27181, 25984, 25976, 25963])).
% 24.61/25.05 tff(27183,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s30) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s60) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s76) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s98) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s116) | trans(s199, s117) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27182, 25955, 25947, 25939, 25931])).
% 24.61/25.05 tff(27184,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s1) | trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s30) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s79) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s117) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27183, 25923, 25915, 25907, 25899])).
% 24.61/25.05 tff(27185,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s11) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s20) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s45) | trans(s199, s47) | trans(s199, s48) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s117) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27184, 25891, 25883, 25875])).
% 24.61/25.05 tff(27186,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s47) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s56) | trans(s199, s58) | trans(s199, s59) | trans(s199, s62) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s71) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s117) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27185, 25867, 25859, 25846, 25838])).
% 24.61/25.05 tff(27187,plain,
% 24.61/25.05 (trans(s199, s0) | trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s25) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s117) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27186, 25830, 25822, 25814, 25806])).
% 24.61/25.05 tff(27188,plain,
% 24.61/25.05 (trans(s199, s3) | trans(s199, s6) | trans(s199, s7) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s23) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s128) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s149) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27187, 25798, 25785, 25772])).
% 24.61/25.05 tff(27189,plain,
% 24.61/25.05 (trans(s199, s3) | trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s94) | trans(s199, s96) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s151) | trans(s199, s155) | trans(s199, s156) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s197) | trans(s199, s199)),
% 24.61/25.05 inference(unit_resolution,[status(thm)],[27188, 25759, 25751, 25738, 25730])).
% 24.61/25.05 tff(27190,plain,
% 24.61/25.05 (trans(s199, s3) | trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s82) | trans(s199, s83) | trans(s199, s86) | trans(s199, s92) | trans(s199, s97) | trans(s199, s100) | trans(s199, s103) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s151) | trans(s199, s155) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27189, 25722, 25714, 25706, 25674])).
% 24.61/25.06 tff(27191,plain,
% 24.61/25.06 (trans(s199, s3) | trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s22) | trans(s199, s29) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s53) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s97) | trans(s199, s100) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s151) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27190, 25666, 25658, 25650, 25642])).
% 24.61/25.06 tff(27192,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s21) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s55) | trans(s199, s58) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s97) | trans(s199, s100) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s151) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27191, 25634, 25626, 25613, 25605])).
% 24.61/25.06 tff(27193,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s15) | trans(s199, s19) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s97) | trans(s199, s100) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s192) | trans(s199, s193) | trans(s199, s195) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27192, 25592, 25584, 25576, 25568])).
% 24.61/25.06 tff(27194,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s19) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s63) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s97) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s159) | trans(s199, s160) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s178) | trans(s199, s184) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27193, 25555, 25547, 25539, 25531])).
% 24.61/25.06 tff(27195,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s10) | trans(s199, s14) | trans(s199, s19) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s159) | trans(s199, s161) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s184) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27194, 25523, 25510, 25502, 25494])).
% 24.61/25.06 tff(27196,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s14) | trans(s199, s19) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s112) | trans(s199, s114) | trans(s199, s115) | trans(s199, s129) | trans(s199, s143) | trans(s199, s146) | trans(s199, s147) | trans(s199, s167) | trans(s199, s175) | trans(s199, s177) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27195, 25486, 25478, 25470, 25457])).
% 24.61/25.06 tff(27197,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s14) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s112) | trans(s199, s114) | trans(s199, s129) | trans(s199, s146) | trans(s199, s147) | trans(s199, s167) | trans(s199, s175) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27196, 25449, 25441, 25433, 25425])).
% 24.61/25.06 tff(27198,plain,
% 24.61/25.06 (trans(s199, s6) | trans(s199, s34) | trans(s199, s35) | trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s69) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s112) | trans(s199, s114) | trans(s199, s147) | trans(s199, s167) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27197, 25412, 25404, 25396, 25388])).
% 24.61/25.06 tff(27199,plain,
% 24.61/25.06 (trans(s199, s42) | trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s72) | trans(s199, s73) | trans(s199, s83) | trans(s199, s86) | trans(s199, s112) | trans(s199, s114) | trans(s199, s147) | trans(s199, s167) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27198, 25375, 25362, 25354, 25346])).
% 24.61/25.06 tff(27200,plain,
% 24.61/25.06 (trans(s199, s50) | trans(s199, s59) | trans(s199, s65) | trans(s199, s72) | trans(s199, s86) | trans(s199, s112) | trans(s199, s147) | trans(s199, s167) | trans(s199, s193) | trans(s199, s199)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27199, 25338, 25330, 25322, 25314])).
% 24.61/25.06 tff(27201,plain,
% 24.61/25.06 (trans(s199, s65) | trans(s199, s72) | trans(s199, s86) | trans(s199, s112) | trans(s199, s147) | trans(s199, s167) | trans(s199, s193)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27200, 25301, 25267, 25259])).
% 24.61/25.06 tff(27202,plain,
% 24.61/25.06 (trans(s199, s65) | trans(s199, s72) | trans(s199, s147) | trans(s199, s167)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27201, 25251, 25238, 25230])).
% 24.61/25.06 tff(27203,plain,
% 24.61/25.06 (trans(s199, s72)),
% 24.61/25.06 inference(unit_resolution,[status(thm)],[27202, 25222, 25214, 25201])).
% 24.61/25.06 tff(27204,plain,
% 24.61/25.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s72) | (~trans(s199, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s72) | (~trans(s199, s72)))),
% 24.61/25.08 inference(rewrite,[status(thm)],[])).
% 24.61/25.08 tff(27205,plain,
% 24.61/25.08 (((~trans(s199, s72)) | (~always25(s199)) | always25(s72)) <=> ((~always25(s199)) | always25(s72) | (~trans(s199, s72)))),
% 24.61/25.08 inference(rewrite,[status(thm)],[])).
% 24.61/25.08 tff(27206,plain,
% 24.61/25.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s72)) | (~always25(s199)) | always25(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~always25(s199)) | always25(s72) | (~trans(s199, s72))))),
% 24.61/25.08 inference(monotonicity,[status(thm)],[27205])).
% 24.61/25.08 tff(27207,plain,
% 24.61/25.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s72)) | (~always25(s199)) | always25(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s72) | (~trans(s199, s72)))),
% 24.61/25.08 inference(transitivity,[status(thm)],[27206, 27204])).
% 24.61/25.08 tff(27208,plain,
% 24.61/25.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s72)) | (~always25(s199)) | always25(s72))),
% 24.61/25.08 inference(quant_inst,[status(thm)],[])).
% 24.61/25.08 tff(27209,plain,
% 24.61/25.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~always25(s199)) | always25(s72) | (~trans(s199, s72))),
% 24.61/25.08 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 24.61/25.08 tff(27210,plain,
% 24.61/25.08 ($false),
% 24.61/25.08 inference(unit_resolution,[status(thm)],[27209, 27203, 6146, 25193, 6113])).
% 24.61/25.08 % SZS output end Proof
%------------------------------------------------------------------------------